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2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/07/ratio-1.jpg</image:loc><image:title>ratio 1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/07/desmos-graph-1.png</image:loc><image:title>desmos-graph (1)</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/07/lmt-21.jpg</image:loc><image:title>LMT 2</image:title></image:image><lastmod>2022-10-16T19:08:09+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/thru-the-year/topics/sequences-and-series-2/</loc><lastmod>2022-10-11T18:14:52+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/thru-the-year/topics/ced-2019/unit-10-infinite-sequences-and-series-bc-only/</loc><lastmod>2022-10-11T18:13:41+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/unit-10-infinite-sequences-and-series/</loc><lastmod>2022-10-11T18:12:29+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2022/10/11/the-hindu-arabic-series/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2022/10/liber_abbaci_magliab_f124r.jpg</image:loc><image:title>Liber_abbaci_magliab_f124r</image:title><image:caption>A page of Fibonacci's Liber Abaci from the Biblioteca Nazionale di Firenze showing (in box on right) the Fibonacci sequence with the position in the sequence labeled with Latin numbers and Roman numerals and the value in Hindu-Arabic numerals. (Some of the numerals are slightly different than those in use today.) </image:caption></image:image><lastmod>2022-10-11T18:08:56+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/09/03/show-me-the-numbers/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/09/livio2.jpg</image:loc><image:title>Livio</image:title></image:image><lastmod>2022-10-03T19:31:06+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/activities-and-explorations/</loc><lastmod>2022-09-12T18:31:57+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2022/09/12/quick-notes/</loc><lastmod>2022-09-12T14:34:07+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/04/06/a-little-calculus/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/04/alc-logo-large.jpg</image:loc><image:title>ALC logo large</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/04/alc-logo-e1617380089465.jpg</image:loc><image:title>ALC logo</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/04/alc-4-2.jpg</image:loc><image:title>ALC 4</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/04/alc-3-2.jpg</image:loc><image:title>ALC 3</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/04/alc-1-4.jpg</image:loc><image:title>ALC 1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/04/alc-1-2.jpg</image:loc><image:title>ALC 1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/04/alc-parametric-2-1.jpg</image:loc><image:title>ALC Parametric 2</image:title></image:image><lastmod>2022-08-18T14:25:55+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/10/05/on-grading/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2018/09/grading-pix.jpg</image:loc><image:title>grading pix</image:title></image:image><lastmod>2022-07-15T15:33:36+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/10/12/on-scaling/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2018/10/kennedy-program.jpg</image:loc><image:title>Kennedy program</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2018/10/square-root-scale.jpg</image:loc><image:title>Square root scale</image:title></image:image><lastmod>2025-05-07T18:38:15+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/10/26/open-or-closed-2/</loc><lastmod>2024-05-07T10:39:06+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/11/09/a-calculus-journey/</loc><lastmod>2022-07-15T15:31:30+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2022/02/08/sequences-2/</loc><lastmod>2022-07-15T15:30:24+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2022/07/15/today-and-tomorrow/</loc><lastmod>2022-07-15T15:00:26+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/before-calculus/</loc><lastmod>2022-07-15T14:49:47+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/unit-9-parametric-equations-polar-coordinates-and-vector-valued-functions/</loc><lastmod>2022-07-15T14:45:24+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/unit-8-applications-of-integration-3/</loc><lastmod>2022-07-15T14:44:45+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/unit-7-differential-equations-3/</loc><lastmod>2022-07-15T14:44:23+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/unit-6-integration-and-accumulation-3/</loc><lastmod>2022-07-15T14:44:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/unit-5-analytical-applications-of-differentiation/</loc><lastmod>2022-07-15T14:43:28+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/unit-4-contextual-applications-of-differentiation-2/</loc><lastmod>2022-07-15T14:42:58+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/unit-3-differentiation-3/</loc><lastmod>2022-07-15T14:41:22+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/unit-2-differentiation-3/</loc><lastmod>2022-07-15T14:39:10+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/unit-1-limits-and-continuity-4/</loc><lastmod>2022-07-15T14:33:08+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/odds-and-ends-3/</loc><lastmod>2022-07-15T13:29:16+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/ap-calculus-exam-review/</loc><lastmod>2022-07-09T19:04:27+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2022/07/05/let-um-try/</loc><lastmod>2024-04-10T18:43:53+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/05/12/percentages-dont-make-the-grade/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/05/kennedy.jpg</image:loc><image:title>Kennedy</image:title></image:image><lastmod>2022-06-27T12:31:29+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/02/22/error-bounds/</loc><lastmod>2022-06-17T14:50:55+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2022/01/25/unit-10-infinite-sequences-and-series-2/</loc><lastmod>2022-06-15T15:35:58+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2022/01/04/extreme-average/</loc><lastmod>2022-06-15T15:32:46+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/11/30/but-what-does-it-look-like/</loc><lastmod>2022-06-15T15:30:01+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/11/05/the-old-pump-2/</loc><lastmod>2022-06-15T15:21:42+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/11/02/unit-6-integration-and-accumulation-of-change-2/</loc><lastmod>2022-06-15T15:19:26+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/10/31/implicit-differentiation-of-parametric-equations/</loc><lastmod>2022-06-15T15:18:00+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/10/22/extreme-values-2/</loc><lastmod>2022-06-15T15:13:25+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/10/19/reading-the-derivatives-graph-2/</loc><lastmod>2022-06-15T15:11:46+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/10/15/foreshadowing-the-mvt-2/</loc><lastmod>2022-06-15T15:10:53+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/10/12/unit-5-analytical-applications-of-differentiation-2/</loc><lastmod>2022-06-15T15:08:31+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/10/08/motion-problems-same-thing-different-context/</loc><lastmod>2022-06-15T15:06:29+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/09/07/unlimited/</loc><lastmod>2022-06-15T14:57:56+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/08/10/adapting-2021-bc-5/</loc><lastmod>2022-06-14T15:55:48+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/08/03/adapting-2021-bc-2/</loc><lastmod>2022-06-14T15:54:59+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/07/27/adapting-2021-ab-6/</loc><lastmod>2022-06-14T15:53:40+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/07/20/adapting-2012-ab-5/</loc><lastmod>2022-06-14T15:52:42+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/07/13/adapting-2021-ab-4-bc-4/</loc><lastmod>2022-06-14T15:50:16+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/07/06/adapting-2021-ab-3-bc-3/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/05/2021-ab-3-bc-3-b-1.jpg</image:loc><image:title>2021 AB 3 BC 3 B</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/05/2021-ab-3-bc-3-b.jpg</image:loc><image:title>2021 AB 3 BC 3 B</image:title></image:image><lastmod>2022-06-14T15:45:15+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/06/29/adapting-2021-ab-2/</loc><lastmod>2022-06-14T15:44:28+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/06/22/adapting-2021-ab-1/</loc><lastmod>2022-06-14T15:42:20+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/04/20/common-mistakes-that-make-readers-pull-their-hair-out/</loc><lastmod>2024-05-12T16:47:51+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/01/26/polar-equations-for-ap-calculus/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/01/rose-5.jpg</image:loc><image:title>rose 5</image:title><image:caption>$latex \displaystyle r(\theta )=2+4\sin (\theta )$
$latex \displaystyle 0\le \theta \le 20\pi $</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/01/3-rose-2.jpg</image:loc><image:title>3 rose</image:title><image:caption>$latex r\left( \theta  \right)=3\cos (3\theta )$
</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/01/cardioid.jpg</image:loc><image:title>Cardioid</image:title><image:caption>$latex r\left( \theta  \right)=2+4\sin \left( \theta  \right)$</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/01/4-rose.jpg</image:loc><image:caption>$latex rleft( theta  right)=4sin (2theta )$. </image:caption></image:image><lastmod>2022-06-14T15:19:49+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/01/19/infinite-sequences-and-series-unit-10/</loc><lastmod>2022-06-14T15:05:54+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/01/12/parametric-equations-polar-coordinates-and-vector-valued-functions-unit-9/</loc><lastmod>2022-06-14T14:56:12+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/10/06/8486/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2020/09/mvt-5.jpg</image:loc><image:title>MVT 5</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2020/09/mvt-2.jpg</image:loc><image:title>MVT 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2020/09/mvt-3.jpg</image:loc><image:title>MVT 3</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2020/09/mvt-1.jpg</image:loc><image:title>MVT 1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2020/09/mvt-4.jpg</image:loc><image:title>MVT 4</image:title></image:image><lastmod>2022-06-13T18:21:45+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/09/29/analytical-applications-of-differentiation-unit-5/</loc><lastmod>2022-06-13T18:18:44+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/09/08/differentiation-composite-implicit-and-inverse-function-unit-3/</loc><lastmod>2022-06-13T18:17:19+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/07/28/which-came-first/</loc><lastmod>2022-06-13T18:12:34+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/04/28/8306/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2020/06/false-positive.jpg</image:loc><image:title>False positive</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2020/06/capture.jpg</image:loc><image:title>Capture</image:title></image:image><lastmod>2022-06-13T18:08:27+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/01/21/good-question-17/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2020/01/question-17-b.jpg</image:loc><image:title>Question 17 B</image:title><image:caption>Figure 2. The top half in blue and its derivative in black.</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2020/01/question-17-a.jpg</image:loc><image:title>Question 17 A</image:title><image:caption>Figure 1</image:caption></image:image><lastmod>2022-06-13T14:52:32+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/11/19/7787/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/11/ezgif-4-fec9afa7692f.gif</image:loc><image:title>ezgif-4-fec9afa7692f</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/11/pi-blog-nov-2099.jpg</image:loc><image:title>Pi blog Nov 2099</image:title></image:image><lastmod>2022-06-13T14:48:09+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/01/14/unit-10-infinite-sequences-and-series/</loc><lastmod>2022-06-13T14:45:21+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/01/07/unit-9-parametric-equations-polar-coordinates-and-vector-valued-functions/</loc><lastmod>2022-06-13T14:44:25+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/11/26/unit-7-differential-equations/</loc><lastmod>2022-06-13T14:42:13+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/11/12/unit-6-integration-and-accumulation-of-change/</loc><lastmod>2022-06-13T14:39:47+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/10/15/unit-5-analytical-applications-of-differentiation/</loc><lastmod>2022-06-13T14:34:41+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/10/01/seeing-the-chain-rule/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/10/cr-7.jpg</image:loc><image:title>CR 7</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/10/cr-5a.jpg</image:loc><image:title>CR 5a</image:title><image:caption>Figure 5: y = sin(x/2)</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/10/cr-6a.jpg</image:loc><image:title>CR 6a</image:title><image:caption>dy/dx = (1/2)cos(x/2)</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/10/cr-4a.jpg</image:loc><image:title>CR 4a</image:title><image:caption>Figure 4: y = 3cos(3x)</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/10/cr-2a.jpg</image:loc><image:title>CR 2a</image:title><image:caption>Figure 2: dy/dx = cos(x)</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/10/cr-1a.jpg</image:loc><image:title>CR 1a</image:title><image:caption>Figure 1: y = sin(x)</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/10/cr-3a.jpg</image:loc><image:title>CR 3a</image:title><image:caption>Figure 3 : y = sin(3x)</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/09/cr-4.jpg</image:loc><image:title>CR 4</image:title><image:caption>Figure 4: dy/dx = 3cos(3x)</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/09/cr-5.jpg</image:loc><image:title>CR 5</image:title><image:caption>Figure 5: y=sin(x/3)</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/09/cr-3.jpg</image:loc><image:title>CR 3</image:title><image:caption>Figure 3: y=sin(3x)</image:caption></image:image><lastmod>2022-06-13T14:30:50+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/09/24/2019-ced-unit-3-defferentiation-composite-implicit-and-inverse-functions/</loc><lastmod>2022-06-13T14:28:35+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/09/03/did-he-or-didnt-he/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2020/08/fermat-portrait.jpg</image:loc><image:title>Fermat portrait</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2020/08/fermat-1.jpg</image:loc><image:title>Fermat 1</image:title></image:image><lastmod>2022-06-11T18:34:14+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/08/20/infinite-musings/</loc><lastmod>2022-06-11T18:27:14+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/08/13/unit-1-of-the-2019-ced/</loc><lastmod>2022-06-11T18:26:29+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/07/23/optimization-reflections/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/06/conic-blog-1.jpg</image:loc><image:title>Conic Blog</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/06/ellipse-computation.jpg</image:loc><image:title>Ellipse computation</image:title></image:image><lastmod>2022-06-11T18:19:22+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/07/09/a-lesson-on-sequences/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/04/sequence-table.jpg</image:loc><image:title>Sequence table</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/04/sequence-2.jpg</image:loc><image:title>Sequence 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/04/sequence-1.jpg</image:loc><image:title>Sequence 1</image:title></image:image><lastmod>2022-06-11T18:13:36+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/06/25/then-there-is-this/</loc><lastmod>2022-06-11T18:11:14+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/06/18/calculus-prerequisites/</loc><lastmod>2022-06-11T18:06:35+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/06/11/mathematical-practices/</loc><lastmod>2022-06-11T18:05:03+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/04/09/ap-exam-review-posts/</loc><lastmod>2022-06-11T17:59:01+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/12/07/y-the-ftc/</loc><lastmod>2022-06-11T17:34:33+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/11/30/good-question-16/</loc><lastmod>2022-06-11T15:31:41+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/10/19/foreshadowing-the-mvt/</loc><lastmod>2022-06-11T15:26:12+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/10/17/teaching-concavity/</loc><lastmod>2022-06-11T15:22:52+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/10/02/inverses-2/</loc><lastmod>2022-06-11T15:04:53+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/08/14/6610/</loc><lastmod>2022-06-11T15:00:02+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/06/12/summer-fun/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2018/06/summer.jpg</image:loc></image:image><lastmod>2022-06-11T14:58:20+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/05/23/good-question-15-part-1/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2018/05/plankton-e1526998270359.jpg</image:loc><image:title>Plankton</image:title><image:caption>           Plankton</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2018/05/round-clock2.jpg</image:loc><image:title>round clock</image:title><image:caption>Round Seconds? </image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2018/05/square-clock.jpg</image:loc><image:title>square clock</image:title><image:caption>Square Seconds?</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2018/05/good-question-15.jpg</image:loc><image:title>Good question 15</image:title></image:image><lastmod>2022-06-09T19:30:25+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/04/21/a-note-on-speed/</loc><lastmod>2022-06-09T19:14:05+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/02/23/good-question-14/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2018/02/int-test-23.jpg</image:loc><image:title>Int test 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2018/02/int-test-1.jpg</image:loc><image:title>Int test 1</image:title></image:image><lastmod>2022-06-09T19:11:55+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/02/09/which-convergence-test-should-i-use/</loc><lastmod>2022-06-09T19:09:30+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/02/02/math-vs-the-real-world/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2018/01/improper-integral1.jpg</image:loc><image:title>Improper integral</image:title></image:image><lastmod>2022-06-09T19:01:59+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/01/09/posts-in-differential-equatins-1/</loc><lastmod>2022-06-09T18:54:35+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/12/12/good-question-xxx/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2018/12/fox-trot-christmas.gif</image:loc><image:title>Fox Trot Christmas</image:title></image:image><lastmod>2022-06-09T18:50:41+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/10/10/derivative-applications-graphing/</loc><lastmod>2022-06-09T18:40:29+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/09/28/implicit-differentiation-2/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/09/3-implicit.jpg</image:loc><image:title>3 Implicit</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/09/1-implicit.jpg</image:loc><image:title>1 Implicit</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/09/2-implicit1.jpg</image:loc><image:title>2 Implicit</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/09/2-implicit.jpg</image:loc><image:title>2 Implicit</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/09/implicit-21.jpg</image:loc><image:title>Implicit 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/09/implicit-diff1.jpg</image:loc><image:title>Implicit diff</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/09/implicit-2.jpg</image:loc><image:title>Implicit 2</image:title></image:image><lastmod>2022-06-09T18:37:07+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/09/26/teaching-and-learning-theorems/</loc><lastmod>2022-06-09T18:34:55+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/08/15/limits/</loc><lastmod>2022-06-09T18:27:21+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/07/18/whod-a-thunk-it/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/07/conic-32.jpg</image:loc><image:title>Conic 3</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/07/conic-11.jpg</image:loc><image:title>Conic 1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/07/conic-4.jpg</image:loc><image:title>Conic 4</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/07/conic-5.jpg</image:loc><image:title>Conic 5</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/07/conic-2.jpg</image:loc><image:title>Conic 2</image:title></image:image><lastmod>2022-06-09T18:24:32+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/07/10/synthetic-summer-fun/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/06/summer-fun.jpg</image:loc><image:title>Summer Fun</image:title></image:image><lastmod>2022-06-09T18:20:44+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/04/14/exams-or-vacation/</loc><lastmod>2022-06-09T18:18:18+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/04/07/5803/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/04/images.jpeg</image:loc><image:title>images</image:title></image:image><lastmod>2022-06-09T15:10:44+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/03/29/ted-gotts-exam-index/</loc><lastmod>2024-02-25T22:07:50+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/03/14/area-volume-type-4/</loc><lastmod>2022-06-09T14:51:44+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/03/03/5707/</loc><lastmod>2022-06-09T14:49:41+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/02/28/writing-questions-on-the-ap-exams/</loc><lastmod>2022-06-09T14:49:04+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/02/14/geometric-series-far-out/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/01/geom-series.jpg</image:loc><image:title>geom-series</image:title></image:image><lastmod>2022-06-09T14:44:45+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/02/07/graphing-taylor-polynomials/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/01/series-1.jpg</image:loc><image:title>series-1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/01/series-2.jpg</image:loc><image:title>series-2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/01/series-4.jpg</image:loc><image:title>series-4</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/01/series-3.jpg</image:loc><image:title>series-3</image:title></image:image><lastmod>2022-06-09T14:38:22+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/01/31/the-logistic-equation/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/01/logisitc-de.jpg</image:loc><image:title>logisitc-de</image:title></image:image><lastmod>2022-06-09T14:36:34+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/01/17/everyday-series/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/01/img_38801.jpg</image:loc><image:title>img_3880</image:title><image:caption>A Square Root</image:caption></image:image><lastmod>2022-06-09T14:31:31+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/01/10/density-functions/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/12/sydney-density-1991-2011.gif</image:loc><image:title>sydney-density-1991-2011</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/12/density.jpg</image:loc><image:title>density</image:title></image:image><lastmod>2022-06-09T14:29:27+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/01/03/definite-integrals/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/12/integrals-31.jpg</image:loc><image:title>integrals-3</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/12/integrals-11.jpg</image:loc><image:title>integrals-1</image:title></image:image><lastmod>2022-06-09T14:22:17+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/12/20/is-this-going-to-be-on-the-exam/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/12/confused-teacher.jpeg</image:loc><image:title>confused-teacher</image:title></image:image><lastmod>2022-06-09T14:18:16+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/12/13/good-question-12-a-constant-part/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/11/parts.jpg</image:loc><image:title>parts</image:title></image:image><lastmod>2022-06-09T14:12:46+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/12/06/coming-clean-with-washer/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/11/washers-4.jpg</image:loc><image:title>washers-4</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/11/washers-3.jpg</image:loc><image:title>washers-3</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/11/washers-2.jpg</image:loc><image:title>washers-2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/11/washers-1.jpg</image:loc><image:title>washers-1</image:title></image:image><lastmod>2022-06-09T14:08:15+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/11/15/graphing-integrals/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/11/integral-0.jpg</image:loc><image:title>integral-0</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/11/integral-template1.jpg</image:loc><image:title>integral-template</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/11/integral-1.jpg</image:loc><image:title>integral-1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/11/integral-2.jpg</image:loc><image:title>integral-2</image:title></image:image><lastmod>2022-06-08T19:07:54+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/11/08/good-question-11-the-cone-problem/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/11/cone-2.jpg</image:loc><image:title>cone-2</image:title><image:caption>Tthe x scale marks are at multiples of $latex 5\pi $</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/11/cone-11.jpg</image:loc><image:title>cone-1</image:title></image:image><lastmod>2022-06-08T19:06:14+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/11/01/one-side-or-the-other/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/10/continuity.jpg</image:loc><image:title>continuity</image:title></image:image><lastmod>2022-06-08T19:02:04+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/10/25/mpac-6-communicating/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/10/foxtrot-2.jpg</image:loc><image:title>foxtrot-2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/10/foxtrot-1.jpg</image:loc><image:title>foxtrot-1</image:title></image:image><lastmod>2022-06-08T18:59:18+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/10/18/mpac-5-notational-fluency/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/10/notation-2.jpg</image:loc><image:title>notation-2</image:title></image:image><lastmod>2022-06-08T18:57:31+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/09/20/mpac-2/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/09/steve-jobs-quote-about-creativity-12.jpg</image:loc><image:title>steve-jobs-quote-about-creativity-1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/09/steve-jobs-quote-about-creativity-21.jpg</image:loc><image:title>steve-jobs-quote-about-creativity-2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/09/connecting-3.jpg</image:loc><image:title>connecting-3</image:title></image:image><lastmod>2022-06-08T18:51:38+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/09/13/mpac-1/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/09/logic-spock.jpg</image:loc><image:title>logic-spock</image:title></image:image><lastmod>2022-06-08T18:50:01+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/08/30/seeing-difference-quotients/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/dq-2.jpg</image:loc><image:title>DQ 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/dq-1.jpg</image:loc><image:title>DQ 1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/dq-6.jpg</image:loc><image:title>DQ 6</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/dq-5.jpg</image:loc><image:title>DQ 5</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/dq-4.jpg</image:loc><image:title>DQ 4</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/dq-3.jpg</image:loc><image:title>DQ 3</image:title></image:image><lastmod>2022-06-08T18:42:21+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/08/23/tangent-lines/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/calc-2-4.jpg</image:loc><image:title>calc 2.4</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/calc-2-3.jpg</image:loc><image:title>calc 2.3</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/calc-2-2.jpg</image:loc><image:title>calc 2.2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/calc-2-1.jpg</image:loc><image:title>calc 2.1</image:title></image:image><lastmod>2022-06-08T18:39:17+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/08/16/graphing-calculator-use/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/calc-4.jpg</image:loc><image:title>calc 4</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/calc-3.jpg</image:loc><image:title>calc 3</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/calc-2.jpg</image:loc><image:title>calc 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/calc-1.jpg</image:loc><image:title>calc 1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/calc-5.jpg</image:loc><image:title>calc 5</image:title></image:image><lastmod>2022-06-08T18:38:13+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/08/05/4977/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/tabular-7.jpg</image:loc><image:title>Tabular 7</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/capture.jpg</image:loc><image:title>Capture</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/tabular1301.jpg</image:loc><image:title>tabular130</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/tabular-41.jpg</image:loc><image:title>Tabular 4</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/tabular-2.jpg</image:loc><image:title>Tabular 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/tabular-1.jpg</image:loc><image:title>Tabular 1</image:title></image:image><lastmod>2022-06-08T18:33:52+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/05/19/the-mathematical-practices/</loc><lastmod>2022-06-08T18:25:23+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/05/17/instructional-approaches-for-ap-calculus/</loc><lastmod>2022-06-08T17:26:02+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/03/15/what-is-a-solution/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/03/foxtrot2.jpg</image:loc><image:title>Foxtrot2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/03/keep-calm.jpg</image:loc><image:title>Keep calm</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/03/foxtrot1.jpg</image:loc><image:title>Foxtrot1</image:title></image:image><lastmod>2022-06-08T17:18:31+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/02/14/good-question-9/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/02/baserunners-2-8-16.jpg</image:loc><image:title>baserunners 2-8-16</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/02/blog-2-8-16.jpg</image:loc><image:title>Blog 2-8-16</image:title></image:image><lastmod>2022-06-08T17:11:12+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/02/07/4771/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/01/cuneifirm-tablet.jpg</image:loc><image:title>cuneifirm tablet</image:title></image:image><lastmod>2022-06-08T17:05:00+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/01/05/good-question-8-or-not/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/01/seattle-sun1.jpg</image:loc><image:title>seattle sun</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/01/seattle-rain1.jpg</image:loc><image:title>Seattle rain</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/01/ques-8-a.jpg</image:loc><image:title>Ques 8 a</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/01/ques-8-b.jpg</image:loc><image:title>Ques 8 b</image:title></image:image><lastmod>2022-06-08T16:59:03+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/01/01/january-2016/</loc><lastmod>2022-06-08T16:52:15+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/12/10/when-are-we-ever/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/12/allen-wohlmer.jpg</image:loc><image:title>Allen Wohlmer</image:title></image:image><lastmod>2022-06-08T16:49:35+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/12/06/determining-the-indeterminate-2/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/12/relation-1.jpg</image:loc><image:title>relation 1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/12/relation-2.jpg</image:loc><image:title>relation 2</image:title></image:image><lastmod>2022-06-08T16:47:19+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/10/19/are-there-any-extrema/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/10/mae-west-7.jpg</image:loc><image:title>mae west 7</image:title><image:caption>Figure 3</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/10/mew-west-8.jpg</image:loc><image:title>Mew west 8</image:title><image:caption>Figure 4</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/10/mae-west-5.jpg</image:loc><image:title>mae west 5</image:title><image:caption>Figure 7</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/10/mae-west-4.jpg</image:loc><image:title>mae west 4</image:title><image:caption>Figure 6</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/10/mae-west-3.jpg</image:loc><image:title>mae west 3</image:title><image:caption>Figure 5</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/10/mae-west-2.jpg</image:loc><image:title>mae west 2</image:title><image:caption>Figure 2</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/10/mae-west-1.jpg</image:loc><image:title>mae west 1</image:title><image:caption>Figure 1</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/10/mae-west-curve-the-loveliest-distance-between.jpg</image:loc><image:title>mae-west-curve-the-loveliest-distance-between</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/10/mae-west-curve.jpg</image:loc><image:title>mae west curve</image:title><image:caption>Figure 9: The "Mae West" Curve</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/10/mae-west-6.jpg</image:loc><image:title>mae west 6</image:title><image:caption>Figure 8</image:caption></image:image><lastmod>2022-06-08T16:43:44+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/10/13/continuous-fun/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/10/continuity-1.jpg</image:loc><image:title>continuity 1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/10/continuity-2.jpg</image:loc><image:title>continuity 2</image:title></image:image><lastmod>2022-06-08T16:38:35+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/10/05/good-question-7/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/08/steel-wire-rope-6-e1438978383196.jpg</image:loc><image:title>Steel Wire Rope 6</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/08/steel-wire-rope-41-e1438978411759.jpg</image:loc><image:title>Steel Wire Rope 4</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/08/steel-wire-rope-51-e1438978427465.jpg</image:loc><image:title>Steel Wire Rope 5</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/08/steel-wire-rope-2-e1438978445413.jpg</image:loc><image:title>Steel Wire rope 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/08/steel-wire-rope-3.jpg</image:loc><image:title>Steel Wire Rope 3</image:title></image:image><lastmod>2022-06-08T16:34:49+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/09/24/determining-the-indeterminate/</loc><lastmod>2022-06-07T15:23:58+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/09/16/matching-motion/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/08/particle-motion-2.gif</image:loc><image:title>Particle motion 2</image:title></image:image><lastmod>2022-06-07T15:20:58+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/09/09/using-the-derivative-to-graph-the-function/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/08/desmos-2.jpg</image:loc><image:title>desmos 2</image:title></image:image><lastmod>2022-06-07T15:19:24+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/09/01/tangents-and-slopes/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/08/graph-8-11-15.jpg</image:loc><image:title>Graph 8-11-15</image:title></image:image><lastmod>2022-06-07T15:15:27+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/08/25/good-question-6/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/08/2000-ab-4.jpg</image:loc><image:title>2000 AB 4</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/08/2000-ab-4-water-tank1.jpg</image:loc><image:title>2000 AB 4 Water tank</image:title></image:image><lastmod>2022-06-07T15:11:00+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/08/18/discovering-the-derivative/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/08/gc-derivative-1.jpg</image:loc><image:title>GC Derivative 1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/08/gc-derivative-2.jpg</image:loc><image:title>GC Derivative 2</image:title><image:caption>Figure 2</image:caption></image:image><lastmod>2022-06-07T15:08:00+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/07/29/good-question-5/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/07/1998-ab-2.jpg</image:loc><image:title>1998 AB 2</image:title><image:caption> $latex f\left( x \right)=2x{{e}^{2x}}$</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/07/1998-ab-2-b.jpg</image:loc><image:title>1998 AB 2 b</image:title><image:caption>$latex y=bx{{e}^{bx}}$ 
b = -5 in blue, b = -1 in red, b = 2 in green and b = 4 in magenta.</image:caption></image:image><lastmod>2022-06-07T15:01:17+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/07/22/calculus-camp/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/07/dscf0055.jpg</image:loc><image:title>DSCF0055</image:title><image:caption>Sgt. Major Woodrow English, U.S. Army (Ret.) provided the entertainment </image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/07/dscf00671.jpg</image:loc><image:title>DSCF0067</image:title><image:caption>LACES Calculus Camp 2015</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/07/dscf0038.jpg</image:loc><image:title>DSCF0038</image:title><image:caption>LACES Calculus Camp 2015</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/07/dscf0037.jpg</image:loc><image:title>DSCF0037</image:title><image:caption>LACES Calculus Camp 2015</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/07/dscf0034.jpg</image:loc><image:title>DSCF0034</image:title><image:caption>LACES Calculus Camp 2015</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/07/dscf0066.jpg</image:loc><image:title>DSCF0066</image:title><image:caption>Robert Vriesman helping a student at LACES Calculus Camp 2015.</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/07/dscf0052.jpg</image:loc><image:title>DSCF0052</image:title><image:caption>LACES Calculus Camp 2015</image:caption></image:image><lastmod>2022-06-07T14:58:35+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/07/15/good-question-4/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/06/2008-ab-10.jpg</image:loc><image:title>2008 AB 10</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/06/2008-ab-10-b.jpg</image:loc><image:title>2008 AB 10 b</image:title></image:image><lastmod>2022-06-07T14:55:36+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/07/01/flipping-part-2/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/06/barber-3.jpg</image:loc><image:title>Barber 3</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/06/barber-2.jpg</image:loc><image:title>Barber 2</image:title></image:image><lastmod>2022-06-07T14:51:42+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/06/24/flipping/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/06/barber.jpg</image:loc><image:title>Bobby Barber</image:title></image:image><lastmod>2022-06-07T14:47:52+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/06/06/practice-exams-a-modest-proposal/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/05/bubble-sheet.jpg</image:loc><image:title>Bubble Sheet</image:title></image:image><lastmod>2022-06-07T14:45:51+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/05/20/the-lagrange-highway/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/05/road-to-horizon-free-desktop-wallpaper-598x336.jpg</image:loc><image:title>road-to-horizon-free-desktop-wallpaper-598x336</image:title></image:image><lastmod>2022-06-07T14:43:35+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/05/13/soda-cans/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/04/img_0442-e1429560944272.jpg</image:loc><image:title>IMG_0442</image:title></image:image><lastmod>2022-06-07T14:39:17+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/03/14/%e5%be%ae%e7%a7%af%e5%88%86/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/03/img_5597.jpg</image:loc><image:title>IMG_5597</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/03/img_5601.jpg</image:loc><image:title>IMG_5601</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/03/img_0373.jpg</image:loc><image:title>IMG_0373</image:title><image:caption>It is the Year of the Ram</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/03/img_5611.jpg</image:loc><image:title>IMG_5611</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/03/img_0331.jpg</image:loc><image:title>IMG_0331</image:title><image:caption>Braised pork</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/03/img_0435.jpg</image:loc><image:title>IMG_0435</image:title><image:caption>Dessert soup</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/03/img_0427.jpg</image:loc><image:title>IMG_0427</image:title><image:caption>Tuna</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/03/img_0426.jpg</image:loc><image:title>IMG_0426</image:title><image:caption>Shrimp</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/03/img_5612.jpg</image:loc><image:title>IMG_5612</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/03/img_5626.jpg</image:loc><image:title>IMG_5626</image:title></image:image><lastmod>2022-06-05T16:44:31+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/03/08/my-new-calculator/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/02/curta-1.jpg</image:loc><image:title>Curta-1</image:title></image:image><lastmod>2022-06-05T16:38:38+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/02/25/eulers-method-for-making-money/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/02/leonhard_euler.jpg</image:loc><image:title>Leonhard_Euler</image:title><image:caption>Leonhard Euler&lt;br&gt;1707 - 1783</image:caption></image:image><lastmod>2022-06-05T16:35:36+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/02/04/graphing-calculators/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/02/hp_prime_w_wireless_module_250px.png</image:loc><image:title>HP_Prime_w_Wireless_Module_250px</image:title></image:image><lastmod>2022-06-05T16:25:41+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/02/01/february/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/02/y-zhang.jpg</image:loc><image:title>Y. Zhang</image:title><image:caption>Yitang Zhang
Photo by Peter Bohler from The New Yorker, February 2, 2015</image:caption></image:image><lastmod>2022-06-05T16:23:39+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/01/21/good-question/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/01/2008-ab-6-1.jpg</image:loc><image:title>2008 AB 6 - 1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/01/2008-ab-6-2.jpg</image:loc><image:title>2008 AB 6 - 2</image:title><image:caption>The function is shown in blue, the derivative and maximum in red, and the second derivative and the point of inflection in green.</image:caption></image:image><lastmod>2022-06-05T16:22:31+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/01/16/half-full-and-half-empty/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/10/half-full-2.jpg</image:loc><image:title>Half-full 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/10/half-full-1.jpg</image:loc><image:title>Half-full 1</image:title></image:image><lastmod>2022-06-05T16:17:59+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/01/09/slope-fields/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/01/slope-field.gif</image:loc><image:title>Slope field</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/01/slope-field-2.jpg</image:loc><image:title>Slope field 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/01/slope-field-1.jpg</image:loc><image:title>Slope field 1</image:title></image:image><lastmod>2024-05-08T13:02:28+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/01/05/differential-equations-2/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/02/deq-graph1.jpg</image:loc><image:title>DEq graph</image:title></image:image><lastmod>2022-06-05T16:05:37+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/11/16/visualizing-solid-figures-2/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/solids-2-c.jpg</image:loc><image:title>Solids 2 C</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/solid-rotation.gif</image:loc><image:title>Solid rotation</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/solids-2-b.jpg</image:loc><image:title>Solids 2 B</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/solids-2-a.jpg</image:loc><image:title>Solids 2 A</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/solids-2-d.jpg</image:loc><image:title>Solids 2 D</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/square-x-sections.gif</image:loc><image:title>Square x-sections</image:title></image:image><lastmod>2022-06-05T15:47:12+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/11/13/visualizing-solid-figures-1/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/img_20141111_142422.jpg</image:loc><image:title>IMG_20141111_142422</image:title><image:caption>Semi-circular cross-sections on a circular base made from foam board. </image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/img_20141111_142450-e1415822807123.jpg</image:loc><image:title>IMG_20141111_142450</image:title><image:caption>Square cross-sections on base between a parabola and a line made with foam board.</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/img_20141111_141920-e1415822789993.jpg</image:loc><image:title>IMG_20141111_141920</image:title><image:caption>Trapezoidal  sections on parabolic base made from 5.25 inch floppy disks.</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/img_20141111_141807-e1415822821546.jpg</image:loc><image:title>IMG_20141111_141807</image:title><image:caption>Square cross-sections on a circular base made from scrap plywood. </image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/img_20141111_141647-e1415822773699.jpg</image:loc><image:title>IMG_20141111_141647</image:title><image:caption>Square cross-sections from scrap wood. </image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/img_20141111_142341.jpg</image:loc><image:title>IMG_20141111_142341</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/bell-1a-e1415822650870.jpg</image:loc><image:title>Bell 1a</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/solid-4.gif</image:loc><image:title>Solid 4</image:title></image:image><lastmod>2022-06-05T15:41:30+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/11/01/november/</loc><lastmod>2022-06-05T15:40:07+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/10/23/the-marble-and-the-vase/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/07/vase-2a.jpg</image:loc><image:title>Vase 2a</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/07/vase-4.jpg</image:loc><image:title>vase 4</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/07/vase-1.gif</image:loc><image:title>Vase 1</image:title></image:image><lastmod>2022-06-05T15:39:28+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/10/13/extremes-without-calculus/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/10/poly.jpg</image:loc><image:title>poly</image:title><image:caption>Red Graph: $latex y={{x}^{3}}-4{{x}^{2}}+3x+4$
Blue Graph: $latex y={{x}^{3}}-4{{x}^{2}}+3x$</image:caption></image:image><lastmod>2022-06-05T15:34:48+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/10/01/october/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/10/4328070_orig.jpg</image:loc><image:title>4328070_orig</image:title></image:image><lastmod>2022-06-05T15:33:50+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/09/16/mean-tables/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/09/table-mvt1.png</image:loc><image:title>Table MVT</image:title></image:image><lastmod>2022-06-05T15:28:14+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/09/02/intermediate-weather/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/09/weather.jpg</image:loc><image:title>Weather</image:title></image:image><lastmod>2022-06-05T15:24:29+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/08/26/calculators/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/08/sq-rt-algorithm1.jpg</image:loc><image:title>Sq rt algorithm</image:title><image:caption>The square root of 743 computed using the algorithm discussed in the post. The third iteration (fourth answer) is correct to 10 digits. </image:caption></image:image><lastmod>2022-06-05T15:20:07+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/08/18/darbouxs-theorem/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/08/darboux.jpg</image:loc><image:title>Darboux</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/08/220px-darboux.jpg</image:loc><image:title>Darboux</image:title><image:caption>Jean Gaston Darboux
1842 - 1917</image:caption></image:image><lastmod>2022-06-05T15:18:42+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/07/23/roulettes-and-art-2/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/07/r6-3a.jpg</image:loc><image:title>R6-3a</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/07/r6-1b.jpg</image:loc><image:title>R6 - 1B</image:title><image:caption>Detail: PD = 10</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/07/r6-1a.jpg</image:loc><image:title>R6 - 1A</image:title><image:caption>PD = 10</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/07/r6-1c.jpg</image:loc><image:title>R6 - 1C</image:title><image:caption>Detail PD = 100</image:caption></image:image><lastmod>2022-06-04T19:40:41+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/07/17/roulettes-and-art-1/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/07/r5-7.jpg</image:loc><image:title>R5-7</image:title><image:caption>R = -0.322, S = -0.3 (blue) and S = +0.3 (green) and their derivatives (orange and   xxx  15 Revolutions</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/07/r5-5a.jpg</image:loc><image:title>R5-5A</image:title><image:caption>R = –0.321 and S = 0.440, &lt;br&gt;Revolutions = 6.5</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/07/r5-5.jpg</image:loc><image:title>R5-5</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/07/r5-6.jpg</image:loc><image:title>R5-6</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/07/r5-4a.jpg</image:loc><image:title>R5-4A</image:title><image:caption>R = –0.321 and S = 0.440, &lt;br&gt;Revolutions = 6.5</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/07/r5-1-e1404680864163.jpg</image:loc><image:title>R5-1</image:title><image:caption>R = 0.713, S = 0.436,&lt;br&gt;Revolutions = 17</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/07/r5-2-e1404680800292.jpg</image:loc><image:title>R5-2</image:title><image:caption>R = - 0.332, S = +/- 0.3, &lt;br&gt;Revolutions = 17</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/07/r5-3-e1404680886130.jpg</image:loc><image:title>R5-3</image:title><image:caption>R = 0.506, S = 0.728, &lt;BR&gt;Revolution = 17</image:caption></image:image><lastmod>2022-06-04T19:38:43+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/07/11/easier-exams/</loc><lastmod>2022-06-04T19:35:44+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/07/08/your-ap-ipr/</loc><lastmod>2022-06-04T19:33:33+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/07/01/epitrochoids/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r3-c10.gif</image:loc><image:title>R3-c</image:title><image:caption>Prolate Cycloid</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r3-c9.gif</image:loc><image:title>R3-c</image:title><image:caption>Prolate Cycloid </image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r3-b3.gif</image:loc><image:title>R3-b</image:title><image:caption>Cycloid - A point on a rolling circle.</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r3-a5.gif</image:loc><image:title>R3-a</image:title><image:caption>Curtate Cycloid</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r3-b2.gif</image:loc><image:title>R3-b</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r3-a4.gif</image:loc><image:title>R3-a</image:title><image:caption>Cycloid: Point on a rolling circle</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r3-c8.gif</image:loc><image:title>R3-c</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r3-a.gif</image:loc><image:title>R3-a</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r3-f.gif</image:loc><image:title>R3-f</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r3-e.gif</image:loc><image:title>R3-e</image:title></image:image><lastmod>2022-06-04T19:31:02+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/07/07/hypocycloids-and-hypotrochoids/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r4-g4.gif</image:loc><image:title>R4-g</image:title><image:caption>R = - 0.6,  S = - 1</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r4-g3.gif</image:loc><image:title>R4-g</image:title><image:caption>R = - 0.6,  S = - 1</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r4-h2.gif</image:loc><image:title>R4-h</image:title><image:caption>R = - 0.6, - 2 &lt; S &lt; 0,  A = 6pi</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r4-d3.gif</image:loc><image:title>R4-d</image:title><image:caption>R = - 0.5,  S = - .75</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r4-d2.gif</image:loc><image:title>R4-d</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r4-c2.gif</image:loc><image:title>R4-c</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r4-g2.gif</image:loc><image:title>R4-g</image:title><image:caption>R = - 0.6,  S = - 1</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r4-f2.gif</image:loc><image:title>R4-f</image:title><image:caption>R = S = - 0.6</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r4-e2.gif</image:loc><image:title>R4-e</image:title><image:caption>R = - 0.6,  S = - 0.3</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r4-a10.gif</image:loc><image:title>R4-a</image:title><image:caption>R = - 0.5,  S = + 0.5</image:caption></image:image><lastmod>2022-06-04T19:29:35+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/06/27/epicycloids-2/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r10.jpg</image:loc><image:title>R10</image:title><image:caption>R = S = Square Root of 2
0 &lt; t &lt; 100</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r9.gif</image:loc><image:title>R9</image:title><image:caption>R = S = 7/5 with  0 &lt; t &lt; 14pi</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r7.gif</image:loc><image:title>R7</image:title><image:caption>R = S = 2/3 with 0 &lt; t &lt; 2pi</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r8.gif</image:loc><image:title>R8</image:title><image:caption>R = S = 2/3  with  O &lt; t &lt; 2pi</image:caption></image:image><lastmod>2022-06-04T19:28:31+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/06/20/new-look/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/img_4368.jpg</image:loc><image:title>IMG_4368</image:title></image:image><lastmod>2022-06-04T19:24:47+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/06/06/a-problem-with-4-solutions-and-2-morals/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/radical-4b.jpg</image:loc><image:title>radical 4b</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/radical-4.jpg</image:loc><image:title>radical 4</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/radical-4a.jpg</image:loc><image:title>radical 4a</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/radical-3.jpg</image:loc><image:title>radical 3</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/radical-5.jpg</image:loc><image:title>radical 5</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/radical.jpg</image:loc><image:title>radical</image:title></image:image><lastmod>2022-06-04T19:22:37+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/05/17/implicit-differentiation/</loc><lastmod>2022-06-04T19:17:52+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/02/28/getting-ready-for-the-ap-exams/</loc><lastmod>2022-06-04T19:14:37+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/02/17/ipads/</loc><lastmod>2022-06-04T19:11:28+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/01/25/improper-integrals-and-proper-areas/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/01/improper-integral-2.jpg</image:loc><image:title>Improper integral 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/01/improper-integral.jpg</image:loc><image:title>Improper integral</image:title></image:image><lastmod>2022-06-04T19:03:38+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/11/17/socrative/</loc><lastmod>2022-06-04T19:00:45+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/09/20/foreshadowing-the-chain-rule/</loc><lastmod>2022-06-04T18:54:11+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/09/12/at-just-the-right-time/</loc><lastmod>2022-06-04T18:48:43+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/09/04/right-answer-wrong-question/</loc><lastmod>2022-06-04T16:12:08+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/08/31/september/</loc><lastmod>2022-06-04T16:10:17+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/08/28/the-math-book/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/08/the-math-book.jpg</image:loc><image:title>The Math Book</image:title></image:image><lastmod>2022-06-04T16:07:04+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/08/21/continuity/</loc><lastmod>2022-06-04T16:05:49+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/08/14/apt-apps-2/</loc><lastmod>2022-06-04T16:04:08+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/08/07/apt-apps-1/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/07/apps-pix-3.jpg</image:loc><image:title>Apps pix 3</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/07/apps-pix-2.jpg</image:loc><image:title>Apps pix 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/07/apps-pix-1.jpg</image:loc><image:title>Apps pix 1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/07/conic-1.jpg</image:loc><image:title>Conic 1</image:title></image:image><lastmod>2022-06-04T15:59:46+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/07/31/my-favorite-function/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/07/fav-3.jpg</image:loc><image:title>Fav 3</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/07/fav-2.jpg</image:loc><image:title>Fav 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/07/fav-1.jpg</image:loc><image:title>Fav 1</image:title><image:caption>$latex y=\sin (\ln (x)),\quad 0&lt;x\le 1$</image:caption></image:image><lastmod>2022-06-04T15:58:21+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/07/31/august/</loc><lastmod>2022-06-04T15:56:20+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/07/24/modified-tabular-integration/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/07/modified-a.jpg</image:loc><image:title>Modified A</image:title></image:image><lastmod>2024-12-13T14:33:18+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/07/17/more-gold/</loc><lastmod>2022-06-04T15:47:22+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/07/03/experimenting-with-cas-chain-rule/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/06/cas-g.jpg</image:loc><image:title>CAS G</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/06/cas-b.jpg</image:loc><image:title>CAS B</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/06/cas-d.jpg</image:loc><image:title>CAS D</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/06/cas-c.jpg</image:loc><image:title>CAS C</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/06/cas-e.jpg</image:loc><image:title>CAS E</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/06/cas-f.jpg</image:loc><image:title>CAS F</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/06/cas-a.jpg</image:loc><image:title>CAS A</image:title></image:image><lastmod>2022-06-04T15:41:57+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/06/28/variations-on-a-theme-2/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/06/variations-2-pix-2.jpg</image:loc><image:title>Variations 2 pix 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/06/variations-2-pix-1.jpg</image:loc><image:title>Variations 2 pix 1</image:title></image:image><lastmod>2022-06-04T15:39:26+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/06/21/why-muss-with-the-c/</loc><lastmod>2022-06-04T15:37:08+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/06/14/variations-on-a-theme-by-ets/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/06/2008-mc-ab9.jpg</image:loc><image:title>2008 mc AB9</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/06/2008-mc9.jpg</image:loc><image:title>2008 mc9</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/06/2008-ab-9.jpg</image:loc><image:title>2008 AB 9</image:title></image:image><lastmod>2022-06-04T15:35:20+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/06/10/difficult-problems-and-why-we-like-them/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/06/kryptos-945.png</image:loc><image:title>kryptos-945</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/06/cim1.jpg</image:loc><image:title>cim</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/06/cim.jpg</image:loc><image:title>cim</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/06/de.jpg</image:loc><image:title>DE</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/06/kryptos.jpg</image:loc><image:title>Kryptos</image:title></image:image><lastmod>2022-06-04T15:29:27+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/05/28/summer-reading/</loc><lastmod>2022-06-04T15:21:12+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/05/23/absolute-value/</loc><lastmod>2022-06-04T15:14:51+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/05/19/2213/</loc><lastmod>2022-06-03T16:18:27+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/05/14/2199/</loc><lastmod>2022-06-03T16:16:39+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/04/29/whats-a-mean-old-average-anyway/</loc><lastmod>2022-06-03T16:10:03+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/04/26/2156/</loc><lastmod>2022-06-03T16:09:35+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/04/23/theorems-and-axioms/</loc><lastmod>2022-06-03T16:07:10+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/04/16/definitions-2/</loc><lastmod>2022-06-03T16:03:37+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/04/12/teaching-how-to-read-mathematics/</loc><lastmod>2022-06-03T16:00:53+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/04/04/does-simplifying-make-things-simpler/</loc><lastmod>2022-06-03T15:56:46+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/04/01/no-foolin/</loc><lastmod>2022-06-03T15:55:44+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/04/08/challenge-answer/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/04/shell-2.jpg</image:loc><image:title>Shell 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/04/washer-2.jpg</image:loc><image:title>Washer 2</image:title></image:image><lastmod>2022-06-03T15:52:51+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/03/29/challenge/</loc><lastmod>2022-06-03T15:49:47+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/03/25/looking-back-and-ahead/</loc><lastmod>2022-06-03T15:49:10+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/03/01/the-rateaccumulation-question/</loc><lastmod>2022-06-03T15:39:54+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/02/25/reviewing-ideas/</loc><lastmod>2022-06-03T15:37:45+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/02/18/new-series-from-old-2/</loc><lastmod>2022-06-03T15:32:50+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/02/13/introducing-power-series-3/</loc><lastmod>2022-06-03T15:29:08+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/02/11/inrtoducing-power-series-2/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/02/7-sin.jpg</image:loc><image:title>7 sin</image:title><image:caption>Degree = 7</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/02/5-sin.jpg</image:loc><image:title>5 sin</image:title><image:caption>Degree = 5</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/02/3-sin.jpg</image:loc><image:title>3 sin</image:title><image:caption>degree = 3</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/02/1-sin.jpg</image:loc><image:title>1 sin</image:title><image:caption>Degree = 1</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/02/21-sin.jpg</image:loc><image:title>21 sin</image:title><image:caption>Degree = 21</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/02/19-sin.jpg</image:loc><image:title>19 sin</image:title><image:caption>Degree = 19</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/02/17-sin.jpg</image:loc><image:title>17 sin</image:title><image:caption>Degree = 17</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/02/15-sin.jpg</image:loc><image:title>15 sin</image:title><image:caption>Degree = 15</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/02/13-sin.jpg</image:loc><image:title>13 sin</image:title><image:caption>Degree = 13</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/02/11-sin.jpg</image:loc><image:title>11 sin</image:title><image:caption>Degree = 11</image:caption></image:image><lastmod>2022-06-03T15:28:01+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/02/08/introducing-power-series-1/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/02/log-6.jpg</image:loc><image:title>N = 6</image:title><image:caption>N = 1, 2, 3, 4, 5 and 6</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/02/log-5.jpg</image:loc><image:title>N = 5</image:title><image:caption>N = 1, 2, 3, 4 and 5</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/02/log-4.jpg</image:loc><image:title>N = 4</image:title><image:caption>N = 1, 2, 3 and 4</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/02/log-3.jpg</image:loc><image:title>N = 3</image:title><image:caption>N = 1, 2 and 3</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/02/log-2.jpg</image:loc><image:title>N = 2</image:title><image:caption>N = 1 and 2</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/02/log-1.jpg</image:loc><image:title>N = 1</image:title><image:caption>N = 1</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/02/ln-1.png</image:loc><image:title>ln 1</image:title></image:image><lastmod>2022-06-03T15:25:06+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/02/06/logarithms/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/01/logarithm.png</image:loc><image:title>logarithm</image:title></image:image><lastmod>2022-06-03T15:17:51+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/02/01/accumulating-initial-values/</loc><lastmod>2022-06-03T15:13:39+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/01/30/stamp-out-slope-intercept-form/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/07/ban-slope-intercept.jpg</image:loc><image:title>Ban Slope Intercept</image:title></image:image><lastmod>2022-06-03T15:10:51+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/01/28/graphing-with-accumulation-2/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/01/rsr-2.jpg</image:loc><image:title>RSR 2</image:title></image:image><lastmod>2022-06-02T18:39:46+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/01/25/graphing-with-accumulation-1/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/01/rsr-1.jpg</image:loc><image:title>RSR 1</image:title></image:image><lastmod>2022-06-02T18:38:09+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/01/23/ap-accumulation-questions/</loc><lastmod>2022-06-02T18:34:15+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/01/21/need-an-amount/</loc><lastmod>2022-06-02T18:32:02+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/01/16/average-value-of-a-function/</loc><lastmod>2022-06-02T18:26:53+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/01/14/why-you-never-need-cylindrical-shells/</loc><lastmod>2022-06-02T18:24:58+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/01/11/volumes-of-revolution/</loc><lastmod>2022-06-02T18:24:27+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/01/09/volume-of-solids-with-regular-cross-sections/</loc><lastmod>2022-06-02T18:20:43+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/01/07/area-between-curves/</loc><lastmod>2022-06-02T18:18:54+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/01/04/integration-by-parts-2/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/01/tabular-5.jpg</image:loc><image:title>Tabular 5</image:title></image:image><lastmod>2022-06-02T18:16:27+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/01/02/integration-by-parts-1/</loc><lastmod>2022-06-02T18:15:35+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/12/21/properties-of-integrals/</loc><lastmod>2022-06-02T16:04:43+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/12/19/more-about-the-ftc/</loc><lastmod>2022-06-02T16:01:05+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/12/17/the-fundamental-theorem-of-calculus/</loc><lastmod>2022-06-02T15:58:18+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/12/14/the-definition-of-the-definite-integral/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/11/rsums-31.jpg</image:loc><image:title>Rsums 3</image:title><image:caption>n = 24,       Sum = 23.07031</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/11/rsums-21.jpg</image:loc><image:title>Rsums 2</image:title><image:caption>n = 12,    Sum = 22.15625</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/11/rsums-11.jpg</image:loc><image:title>Rsums 1</image:title><image:caption>n = 6,      Sum = 20.375</image:caption></image:image><lastmod>2022-06-02T15:56:26+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/12/12/1472/</loc><lastmod>2022-06-02T15:55:53+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/12/10/working-towards-riemann-sums/</loc><lastmod>2022-06-02T15:51:13+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/12/08/1535/</loc><lastmod>2024-05-20T07:44:46+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/12/07/under-is-a-long-way-down/</loc><lastmod>2022-06-02T15:46:39+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/12/05/1432/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/11/capture.jpg</image:loc><image:title>Capture</image:title></image:image><lastmod>2022-06-02T15:44:20+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/12/03/flying-to-integrationland/</loc><lastmod>2022-06-02T15:42:21+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/11/30/the-old-pump/</loc><lastmod>2022-06-02T15:39:23+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/11/28/webinar-2/</loc><lastmod>2022-06-02T15:35:19+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/11/28/antidifferentiation/</loc><lastmod>2022-06-02T15:33:09+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/11/26/1357/</loc><lastmod>2022-06-02T15:30:24+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/11/21/the-derivatives-of-exponential-functions/</loc><lastmod>2022-06-01T18:13:50+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/11/19/195/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/12/speed-2.jpg</image:loc><image:title>Speed 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/12/speed-1.jpg</image:loc><image:title>Speed 1</image:title></image:image><lastmod>2022-06-01T18:11:12+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/11/16/188/</loc><lastmod>2022-06-01T18:08:10+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/11/14/inverses-graphically-and-numerically/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/11/inverse-3.jpg</image:loc><image:title>Inverse 3</image:title></image:image><lastmod>2022-06-01T18:05:39+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/11/12/the-calculus-of-inverses/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/11/capture-1.jpg</image:loc><image:title>Capture</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/11/inverse-2.jpg</image:loc><image:title>Inverse 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/11/inverse-1.jpg</image:loc><image:title>Inverse 1</image:title></image:image><lastmod>2022-06-01T17:59:49+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/11/09/the-range-of-the-inverse/</loc><lastmod>2022-06-01T17:58:13+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/11/07/writing-inverses/</loc><lastmod>2022-06-01T17:56:31+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/11/05/inverses/</loc><lastmod>2022-06-01T17:55:45+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/11/02/open-or-closed/</loc><lastmod>2022-06-01T17:51:46+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/10/31/way-out-there/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/07/wayout-2-e1342383128692.jpg</image:loc><image:title>wayout 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/07/wayout-1-e1342382978791.jpg</image:loc><image:title>wayout 1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/07/wayout-graph-e1342382901182.jpg</image:loc><image:title>wayout graph</image:title></image:image><lastmod>2022-06-01T17:46:36+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/10/29/real-real-life-graph-reading/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/10/romer-11.jpg</image:loc><image:title>Romer 1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/10/bikini-graph.jpg</image:loc><image:title>Bikini Graph</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/10/romer-1.jpg</image:loc><image:title>Romer 1</image:title></image:image><lastmod>2022-06-01T17:44:49+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/10/24/concavity/</loc><lastmod>2022-06-01T17:40:54+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/10/22/extreme-values/</loc><lastmod>2022-06-01T17:38:58+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/10/17/the-shapes-of-a-graph/</loc><lastmod>2022-06-01T17:36:14+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/10/02/derivative-practice-numbers/</loc><lastmod>2022-06-01T17:25:04+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/10/15/graphing-concepts/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/10/blog-graph.jpg</image:loc><image:title>Blog graph</image:title></image:image><lastmod>2022-06-01T15:50:24+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/10/12/951/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/10/unit-circle1.jpg</image:loc><image:title>unit circle</image:title></image:image><lastmod>2022-06-01T15:45:36+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/10/10/related-rate-problems-ii/</loc><lastmod>2022-06-01T15:42:50+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/10/08/related-rate-problems-i/</loc><lastmod>2022-06-01T15:40:21+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/10/03/derivative-practice-graphs/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/09/derivative-from-graphs.jpg</image:loc><image:title>Derivative from Graphs</image:title></image:image><lastmod>2022-06-01T15:37:49+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/10/01/proof-iv/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/09/mvt-3-e1342376677717.jpg</image:loc><image:title>MVT 3</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/07/mvt-3.jpg</image:loc><image:title>MVT 3</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/07/mvt-21-e1342376011727.jpg</image:loc><image:title>MVT 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/07/mvt-2.jpg</image:loc><image:title>MVT 2</image:title></image:image><lastmod>2022-06-01T15:31:29+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/09/28/webinar/</loc><lastmod>2022-06-01T15:28:48+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/09/28/proof-iii/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/07/mvt1-e1342372740628.jpg</image:loc><image:title>MVT</image:title></image:image><lastmod>2022-06-01T15:26:39+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/09/26/proof-ii/</loc><lastmod>2022-06-01T15:22:55+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/09/21/the-chain-rule/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/09/2006-12-18-chain-rule-baby.jpg</image:loc><image:title>2006-12-18-chain-rule-baby</image:title></image:image><lastmod>2022-05-31T18:39:03+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/09/19/796/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/09/m-agnesi.jpg</image:loc><image:title>Maria Agnesi</image:title><image:caption>Maria Gaetana Agnesi</image:caption></image:image><lastmod>2022-05-31T18:37:05+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/09/17/the-derivative-rules-ii/</loc><lastmod>2022-05-31T18:34:51+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/09/12/difference-quotients-ii/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/07/diff-quo-2.jpg</image:loc><image:title>Diff Quo 2</image:title><image:caption>Figure 3: A function in black with the three difference quotient converging with h almost 0</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/07/diff-quo-1.jpg</image:loc><image:title>Diff Quo 1</image:title><image:caption>Figure 2: A function in black and three difference quotients with h about 2</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/07/diff-quo-0.jpg</image:loc><image:title>Diff Quo 0</image:title><image:caption>Figure 1 - TI-84 equations</image:caption></image:image><lastmod>2022-05-31T18:31:38+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/09/07/the-derivative-ii/</loc><lastmod>2022-05-31T18:25:04+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/09/05/the-derivative-is-a-function-i/</loc><lastmod>2022-05-31T18:22:53+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/08/31/local-linearity-ii/</loc><lastmod>2022-05-31T18:17:09+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/08/29/local-linearity-i/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/07/2005-ab-52.jpg</image:loc><image:title>2005 AB 5</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/07/2005-ab-51.jpg</image:loc><image:title>2005 AB 5</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/07/2005-ab-5.jpg</image:loc><image:title>2005 AB 5</image:title></image:image><lastmod>2022-05-31T18:14:22+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/08/27/absolutely/</loc><lastmod>2022-05-31T18:10:15+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/08/24/definitions/</loc><lastmod>2022-05-31T18:08:27+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/08/20/for-any-for-every-for-all/</loc><lastmod>2022-05-31T18:06:10+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/08/17/fun-with-continuity/</loc><lastmod>2022-05-31T18:02:39+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/08/13/the-second-day-of-the-year/</loc><lastmod>2022-05-31T17:58:36+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/08/06/a-note-on-notation/</loc><lastmod>2022-05-31T17:49:53+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/11/29/riemann-reversed/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/11/riemann-reversal.jpg</image:loc><image:title>riemann-reversal</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/11/double-riemann.jpg</image:loc><image:title>double-riemann</image:title></image:image><lastmod>2022-05-05T15:08:26+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/11/05/asymptotes-and-the-derivative/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/11/asymptotes-5.jpg</image:loc><image:title>Asymptotes 5</image:title><image:caption>Figure 5</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/10/asymptotes-3-1.jpg</image:loc><image:title>Asymptotes 3</image:title><image:caption>Figure 3: A cusp at (2,1)</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/10/asymptotes-4-2.jpg</image:loc><image:title>Asymptotes 4</image:title><image:caption>Figure 4: A vertical tangent line.</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/10/asymptotes-1.jpg</image:loc><image:title>Asymptotes 1</image:title><image:caption>Figure 1: An EVEN vertical asymptote</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/10/asymptotes-2.jpg</image:loc><image:title>Asymptotes 2</image:title><image:caption>Figure 2: An ODD vertical asymptote </image:caption></image:image><lastmod>2024-03-11T05:01:58+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/about/</loc><lastmod>2022-10-12T15:33:07+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2021/03/16/2021-review-notes/</loc><lastmod>2022-02-22T19:18:58+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/02/09/extreme-polar-conditions/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/02/polar-7.jpg</image:loc><image:title>polar 7</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/02/polar-6.jpg</image:loc><image:title>polar 6</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/02/extreme-polar-5-2.jpg</image:loc><image:title>Extreme polar 5</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/02/extreme-polar-3.jpg</image:loc><image:title>extreme polar 3</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/02/extreme-polar-3-1.jpg</image:loc><image:title>extreme-polar-3-1</image:title><image:caption>$latex \displaystyle r\left( \theta  \right)=3.3\cos (1.9\theta )+1.9\sin (0.1\theta )$ </image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/02/extreme-polar-2.jpg</image:loc><image:title>extreme polar 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/02/extreme-polar-1.jpg</image:loc><image:title>extreme polar 1</image:title><image:caption>$latex \displaystyle r\left( \theta  \right)=\sin \left( {2\theta } \right)$ </image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/02/extreme-polar-5.jpg</image:loc><image:title>extreme-polar-5</image:title><image:caption>$latex \displaystyle r\left( \theta  \right)=3.3\cos (2\theta )+1.9\sin (3.3\theta )$ </image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/02/extreme-polar-5-1.jpg</image:loc><image:title>extreme polar 5</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/02/extreme-polar-4.jpg</image:loc><image:title>extreme-polar-4</image:title><image:caption>$latex \displaystyle r\left( \theta  \right)=3.3\cos (2\theta )+1.9\sin (0.1\theta )$ </image:caption></image:image><lastmod>2022-01-10T16:33:45+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/11/16/unit-8-applications-of-integration-2/</loc><lastmod>2022-01-02T22:52:00+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/11/19/posts-on-accumulation/</loc><lastmod>2021-11-30T16:05:50+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/11/23/unit-7-differential-equations-2/</loc><lastmod>2021-11-30T13:33:10+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/08/17/getting-started-2/</loc><lastmod>2021-10-31T15:33:34+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/10/05/unit-4-contextual-applications-of-the-derivative/</loc><lastmod>2021-10-08T11:40:52+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/09/21/unit-3-differentiation-composite-implicit-and-inverse-function/</loc><lastmod>2021-10-05T12:03:53+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/08/24/unit-1-limits-and-continuity/</loc><lastmod>2021-09-29T16:35:10+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/09/14/unit-2-definition-of-the-derivative/</loc><lastmod>2021-09-29T16:23:10+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/07/12/scoring-different-versions-of-the-same-test/</loc><lastmod>2021-08-24T18:09:28+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/thru-the-year/topics/ced-2019/essential-knowledge-learning-objectives/</loc><lastmod>2021-08-02T20:28:54+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2020/02/28/8199/</loc><lastmod>2021-07-27T19:21:52+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/06/04/summer-at-last/</loc><lastmod>2021-06-23T08:56:13+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/05/03/ap-test-week/</loc><lastmod>2021-06-06T15:05:20+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/03/24/other-problems-type-7/</loc><lastmod>2021-05-18T18:09:26+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/02/21/good-question-2-continued/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/02/family-2.jpg</image:loc><image:title>Family 2</image:title><image:caption>Ten family members&lt;br&gt;from C=0.3 (bottom curve) to C = 30 (top)</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/02/family-1.jpg</image:loc><image:title>Family 1</image:title><image:caption>30 family members from C = -3 (bottom)to C = 0 (top)</image:caption></image:image><lastmod>2021-05-12T18:57:17+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/10/26/reading-the-derivatives-graph/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/10/graph-2.jpg</image:loc><image:title>Graph 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/10/graph-11.jpg</image:loc><image:title>Graph 1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/10/graph-1.jpg</image:loc><image:title>Graph 1</image:title></image:image><lastmod>2021-03-31T15:35:13+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2021/03/23/other-asymptotes/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/03/asym-6.jpg</image:loc><image:title>asym 6</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/03/asym-5.jpg</image:loc><image:title>ASYM 5</image:title><image:caption>Figure 2</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/03/asym-2.jpg</image:loc><image:title>asym 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/03/asym-1.jpg</image:loc><image:title>asym 1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/03/asym-4.jpg</image:loc><image:title>asym 4</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2021/03/asym-3.jpg</image:loc><image:title>asym 3</image:title></image:image><lastmod>2021-03-30T15:30:02+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/02/25/ap-exam-review-2020/</loc><lastmod>2021-03-15T17:38:59+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/03/27/sequences-and-series-type-10/</loc><lastmod>2021-03-12T14:46:32+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/03/26/polar-equation-questions-type-9/</loc><lastmod>2021-03-12T14:45:02+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/03/25/parametric-and-vector-equations-type-8/</loc><lastmod>2021-03-12T14:43:45+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/03/20/differential-equations-type-6-2/</loc><lastmod>2021-03-12T14:40:55+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/03/13/area-and-volume-problems-type-4/</loc><lastmod>2021-04-22T14:52:31+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/03/10/graph-analysis-questions-type-3/</loc><lastmod>2021-03-12T14:37:45+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/03/06/linear-motion-type-2-2/</loc><lastmod>2021-03-12T14:36:12+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/03/03/rate-accumulation-type-1/</loc><lastmod>2021-03-12T14:35:06+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/03/17/riemann-sum-table-problems-type-5/</loc><lastmod>2021-03-12T14:31:33+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/03/15/type-4-area-and-volume-problems/</loc><lastmod>2021-03-12T14:30:21+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/03/13/type-3-questions-graph-analysis/</loc><lastmod>2021-03-12T14:28:31+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/03/08/type-2-linear-motion/</loc><lastmod>2021-03-12T14:27:32+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/03/05/6338/</loc><lastmod>2021-03-12T14:24:06+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/02/26/resources-for-reviewing-2/</loc><lastmod>2021-01-19T18:35:35+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/12/01/differential-equations-unit-7/</loc><lastmod>2021-01-12T12:34:54+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/resource-file/presentations/mass-insight/short-topics/</loc><lastmod>2020-12-18T19:29:11+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2020/11/17/applications-of-integration-unit-8/</loc><lastmod>2020-12-01T13:08:11+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/resource-file/presentations/mass-insight/the-mvt-and-the-ftc/</loc><lastmod>2020-11-23T18:40:10+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/resource-file/presentations/mass-insight/reviewing-for-the-ap-calculus-exams-writing-on-the-ap-calculus-exams/</loc><lastmod>2020-11-18T23:43:45+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2020/11/10/integration-and-accumulation-of-change-unit-6/</loc><lastmod>2020-11-17T14:56:13+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/resource-file/presentations/</loc><lastmod>2020-10-27T18:03:50+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/resource-file/presentations/other-presentations/</loc><lastmod>2020-10-27T17:53:07+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/resource-file/presentations/mass-insight/</loc><lastmod>2020-10-23T18:59:24+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2020/09/22/contextual-applications-of-the-derivative-unit-4/</loc><lastmod>2020-09-29T11:19:08+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/08/25/definition-of-the-derivative-unit-2/</loc><lastmod>2020-09-08T12:03:47+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/08/04/limits-and-continuity-unit-1/</loc><lastmod>2020-08-25T14:54:34+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/05/20/new-ap-calculus-ced-is-now-available/</loc><lastmod>2020-07-14T03:16:50+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/06/09/summertime-2/</loc><lastmod>2020-07-14T02:49:22+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/math-before-calculus-2/</loc><lastmod>2020-06-19T17:46:58+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/fun-posts/</loc><lastmod>2020-06-19T17:45:27+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/before-you-start/</loc><lastmod>2020-06-19T17:42:21+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/math-topics/</loc><lastmod>2020-06-19T15:48:07+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/8375-2/</loc><lastmod>2020-06-19T15:29:56+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/structure/</loc><lastmod>2020-06-19T15:16:58+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/pedagogy/</loc><lastmod>2020-06-19T15:13:25+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/website/links/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/01/cable_car_machinery.jpg</image:loc><image:title>Cable_Car_Machinery</image:title><image:caption>Cable Car Machinery San Francisco, CA</image:caption></image:image><lastmod>2020-06-17T15:16:47+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2020/04/03/ap-calculus-exams-update/</loc><lastmod>2020-06-09T15:22:38+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/thru-the-year/march/</loc><lastmod>2020-05-20T17:48:25+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/reviewing-for-the-ap-calculus-exam-2020/</loc><lastmod>2020-05-20T17:44:14+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2019/06/04/the-2019-ced-and-this-blog/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/05/2019-topics.jpg</image:loc><image:title>2019 topics</image:title></image:image><lastmod>2020-04-28T11:14:49+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/02/11/8183/</loc><lastmod>2020-02-25T13:29:10+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2020/02/04/a-curiosity/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2020/02/cos-sqrt.jpg</image:loc><image:title>cos sqrt</image:title><image:caption>$latex \displaystyle \cos \left( {\sqrt{x}} \right)$ and its Maclaurub series (n = 14)</image:caption></image:image><lastmod>2020-02-11T12:36:10+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/12/03/unit-8-applications-of-integration/</loc><lastmod>2020-01-20T19:41:26+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/10/07/unit-4-contectual-applications-of-the-derivative/</loc><lastmod>2020-01-20T19:38:00+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/09/10/2019-ced-unit-2-differentiation-definition-and-fundamental-properties/</loc><lastmod>2020-01-20T18:11:49+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/resource-file/resources-2/</loc><lastmod>2020-01-19T00:14:44+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2019/12/17/spiral-slide-rule/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/12/ssr4.jpg</image:loc><image:title>SSR4</image:title><image:caption>Figure 2</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/12/ssr5.jpg</image:loc><image:title>SSR5</image:title><image:caption>Figure 1</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/12/img_0880-1.jpg</image:loc><image:title>IMG_0880</image:title><image:caption>Figure 3: Setting top marker at 1 and the first factor 1.5115. </image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/12/img_0877-1.jpg</image:loc><image:title>IMG_0877</image:title><image:caption>Figure 4: Setting the second factor 4.3965 and reading  the product 6.645</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/12/img_2466-1.jpg</image:loc><image:title>IMG_2466</image:title></image:image><lastmod>2020-01-07T13:08:54+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/12/23/quadratic-formula-or-not/</loc><lastmod>2020-01-07T12:40:41+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/12/10/slide-rules/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/12/slide-rule-.jpg</image:loc><image:title>Slide rule</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/12/slide-rule-sqrt-1.jpg</image:loc><image:title>Slide rule sqrt</image:title><image:caption>Figure 3: Showing $latex \displaystyle \sqrt{2}\approx 1.414$ or $latex \displaystyle \sqrt{{20}}\approx 4.47$</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/12/slide-rule-sqrt.jpg</image:loc><image:title>Figure 3</image:title><image:caption>$latex displaystyle sqrt{{20}}approx 4.7$</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/12/img_0880.jpg</image:loc><image:title>IMG_0880</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/12/img_0877.jpg</image:loc><image:title>IMG_0877</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/12/img_2466.jpg</image:loc><image:title>IMG_2466</image:title><image:caption>Spiral Slide Rule</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/12/flat-sr-4-x-5.jpg</image:loc><image:title>Flat SR 4 x 5</image:title><image:caption>Figure 2</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/12/flat-sr-4-x-2.jpg</image:loc><image:title>Flat SR 4 x 2</image:title><image:caption>Figure 1 </image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/12/flat-sr-sine.jpg</image:loc><image:title>Flat SR sine</image:title><image:caption>Figure 3</image:caption></image:image><lastmod>2019-12-17T18:23:57+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/09/17/differentiability-implies-continuity/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/09/diff-continuity-1.jpg</image:loc><image:title>diff - continuity 1</image:title></image:image><lastmod>2019-09-24T12:55:19+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/thru-the-year/topics/ced-2019/unit-5-analytical-applications-of-differentiation/</loc><lastmod>2019-09-18T17:57:40+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/thru-the-year/topics/ced-2019/unit-1-limits-and-continuity/</loc><lastmod>2019-09-18T17:53:16+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/thru-the-year/topics/ced-2019/unit-2-differentiation-definition-and-fundamental-properties/</loc><lastmod>2019-09-18T17:46:46+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2019/08/26/limit-of-composite-functions/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/08/composite-2.jpg</image:loc><image:title>composite 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/08/composite-1.jpg</image:loc><image:title>composite 1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2019/08/composite-3.jpg</image:loc><image:title>composite 3</image:title></image:image><lastmod>2021-10-07T15:50:37+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/01/18/6556/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2018/06/exp-1.jpg</image:loc><image:title>Exp 1</image:title></image:image><lastmod>2019-09-02T16:01:30+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/07/08/good-question-3/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/07/1995-bc-5c11.jpg</image:loc><image:title>1995 BC 5c1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/07/1995-bc-5c1.jpg</image:loc><image:title>1995 BC 5c1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/06/1995-bc-5-c3.jpg</image:loc><image:title>1995 BC 5 c</image:title><image:caption>k = 8</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/06/1995-bc-51.jpg</image:loc><image:title>1995 BC 5</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/06/1995-bc-5-a1.jpg</image:loc><image:title>1995 BC 5 a</image:title><image:caption>$latex y={{x}^{2}}+\cos \left( x \right)$</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/06/1995-bc-5.jpg</image:loc><image:title>1995 BC 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req></url><url><loc>https://teachingcalculus.com/thru-the-year/topics/sequences-and-series/</loc><lastmod>2018-12-28T00:54:51+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/thru-the-year/topics/6921-2/</loc><lastmod>2018-12-27T20:58:23+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/thru-the-year/topics/differential-equations/</loc><lastmod>2018-12-27T20:53:49+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2018/12/11/6798/</loc><lastmod>2018-12-27T20:41:45+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2019/01/01/accumulation-2/</loc><lastmod>2018-12-27T20:41:09+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/thru-the-year/essays/</loc><lastmod>2018-12-13T19:20:27+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2018/12/04/application-of-integration/</loc><lastmod>2018-12-11T15:07:14+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/11/27/riemann-sums-the-theory/</loc><lastmod>2018-11-23T14:48:10+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/11/20/brushing-up-the-blog/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2018/11/pix1-e1542560882944.jpg</image:loc><image:title>PIX1</image:title></image:image><lastmod>2018-11-18T21:38:34+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/thru-the-year/topics/</loc><lastmod>2018-11-18T17:05:20+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/thru-the-year/6747-2/</loc><lastmod>2018-11-13T20:06:26+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/thru-the-year/before-you-start/</loc><lastmod>2018-11-13T20:04:16+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2012/08/10/the-unknown-thing/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/08/arabic.jpg</image:loc><image:title>Arabic</image:title></image:image><lastmod>2018-11-13T20:00:35+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/thru-the-year/topics/differential-calculus/</loc><lastmod>2018-11-13T19:53:46+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/thru-the-year/topics/integral-calculus/</loc><lastmod>2018-11-13T19:51:58+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/thru-the-year/august-xy/</loc><lastmod>2018-11-13T19:26:20+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2018/11/13/6791/</loc><lastmod>2018-11-12T15:34:08+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/10/09/6694/</loc><lastmod>2018-11-11T18:06:20+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/thru-the-year/graphing-calculator-hints/</loc><lastmod>2018-11-08T20:21:43+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2015/02/09/amortization/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/02/amortization.jpg</image:loc><image:title>amortization</image:title></image:image><lastmod>2021-09-28T14:43:45+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/10/16/lhospitals-rule/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2018/10/lhospital.jpg</image:loc><image:title>L'Hospital</image:title><image:caption>Guillaume de l'Hospital</image:caption></image:image><lastmod>2018-11-07T16:47:01+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/05/31/locally-linear-lhopital/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/08/lll-2.jpg</image:loc><image:title>LLL 2</image:title><image:caption>Figure 2. The previous graph zoomed in. </image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2012/08/lll-1.jpg</image:loc><image:title>LLL 1</image:title><image:caption>Figure 1. y = tan(x) in red and y = sin(x) in blue </image:caption></image:image><lastmod>2025-11-25T20:30:29+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/06/05/lhopital-rules-the-graph/</loc><lastmod>2018-11-07T16:36:08+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/08/03/deltas-and-epsilons/</loc><lastmod>2018-11-07T16:02:41+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/02/20/new-series-from-old-3/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2013/02/rational-expression.jpg</image:loc><image:title>rational expression</image:title></image:image><lastmod>2018-11-05T21:16:49+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/04/17/the-ubiquitous-particle-motion-question/</loc><lastmod>2018-11-05T16:04:53+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/videos/ap-exam-scoring/</loc><lastmod>2018-11-05T01:03:21+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/videos/power-series/</loc><lastmod>2018-11-05T01:01:20+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/videos/about-theorems/</loc><lastmod>2018-11-05T00:55:14+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/videos/limits-and-continuity/</loc><lastmod>2018-11-05T00:53:17+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/videos/riemann-sums-and-the-ftc/</loc><lastmod>2018-11-05T00:50:19+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/videos/the-derivative/</loc><lastmod>2018-11-05T00:12:16+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2018/11/06/integration/</loc><lastmod>2018-11-04T16:08:11+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/12/15/foreshadowing-the-ftc/</loc><lastmod>2018-10-28T17:34:50+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/02/09/arbitrary-ranges/</loc><lastmod>2018-10-28T17:20:39+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/sequences-and-series/</loc><lastmod>2018-10-27T16:32:10+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2016/10/04/how-to-tell-your-asymptote-from-a-hole-in-the-graph/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/10/holes-3.jpg</image:loc><image:title>holes-3</image:title><image:caption>The function $latex \displaystyle  y=\frac{3\left( x-2 \right)}{\left( x-2 \right)\left( x+2 \right)}$ in the “decimal” window. The “asymptote” is not shown and the “hole” at (2, 0.75) is visible. </image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/10/holes-2.jpg</image:loc><image:title>holes-2</image:title><image:caption>The function $latex  \displaystyle y=\frac{3\left( x-2 \right)}{\left( x-2 \right)\left( x+2 \right)}$ in the standard window. The vertical line is not really the asymptote and the “hole” at (2, 0.75) is not seen.</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/10/holes-1.jpg</image:loc><image:title>holes-1</image:title><image:caption>The cursor is located one pixel to the right of the y-axis and one pixel above the x-axis in the “standard” window of a TI-8x. Note the coordinates of that pixel at the bottom of the screen. </image:caption></image:image><lastmod>2018-10-26T14:26:39+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/09/06/fx-and-dydx/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/08/graph-calc-4-e1471982880169.jpg</image:loc><image:title>Graph calc 4</image:title></image:image><lastmod>2018-10-26T14:24:07+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/02/13/parametric-and-vector-equations-2/</loc><lastmod>2018-10-24T18:26:42+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/10/23/the-mean-value-theorem-2/</loc><lastmod>2018-10-22T14:43:58+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/02/23/resources-for-reviewing/</loc><lastmod>2018-10-22T14:41:27+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/04/24/final-push/</loc><lastmod>2018-10-22T14:39:22+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/08/01/ap-calculus-resources/</loc><lastmod>2018-10-20T14:51:24+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/08/07/geting-ready/</loc><lastmod>2018-10-20T14:48:43+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/thru-the-year/september/</loc><lastmod>2018-10-19T18:49:06+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/monthly/</loc><lastmod>2018-10-19T18:10:06+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/thru-the-year/december/</loc><lastmod>2018-10-16T15:12:31+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/thru-the-year/</loc><lastmod>2018-10-16T14:53:24+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2018/10/30/related-rate-questions/</loc><lastmod>2018-10-05T15:23:09+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/09/25/implicit-differentiation-3/</loc><lastmod>2018-09-30T01:26:18+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/09/18/the-chain-rule-3/</loc><lastmod>2018-09-12T14:54:20+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/09/11/derivative-formulae/</loc><lastmod>2018-09-04T12:47:12+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/09/04/approaching-the-derivative/</loc><lastmod>2018-09-02T13:44:37+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/08/28/slope-of-a-curve/</loc><lastmod>2018-08-25T15:19:27+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/08/21/continuity-3/</loc><lastmod>2018-08-20T13:14:23+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/about/our-trip/</loc><lastmod>2018-07-08T13:55:31+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2018/05/14/exam-day/</loc><lastmod>2018-05-15T14:37:40+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/06/24/rolling-circles/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/05/cardioid-setup-pix.jpg</image:loc><image:title>Cardioid setup pix</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/05/r1.gif</image:loc><image:caption>Cycloid</image:caption></image:image><lastmod>2018-05-09T13:13:22+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/04/30/nctm-calculus-panel-discussion/</loc><lastmod>2018-04-30T19:14:19+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/01/24/logistic-growth-real-and-simulated/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/01/logistic-flu.jpg</image:loc><image:title>Logistic flu</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/01/logistic-3.jpg</image:loc><image:title>logistic-3</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/01/logistic-1.jpg</image:loc><image:title>logistic-1</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/01/logistic-2.jpg</image:loc><image:title>logistic-2</image:title></image:image><lastmod>2018-03-05T20:11:54+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/thru-the-year/february/</loc><lastmod>2018-02-26T16:38:56+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2018/01/23/infinite-series/</loc><lastmod>2018-02-26T15:32:05+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/01/30/6233/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2018/01/colin_maclaurin_color.jpg</image:loc><image:title>Colin_Maclaurin_color</image:title><image:caption>Colin Maclaurin (1698 - 1746)</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2018/01/220px-colin_maclaurin_color.jpg</image:loc><image:title>220px-Colin_Maclaurin_color</image:title><image:caption>Colin Maclaurin (1698 - 1746)</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2018/01/taylor_brook.jpg</image:loc><image:title>NPG 1920; Brook Taylor probably by Louis Goupy</image:title><image:caption>Brook Taylor (1685 - 1731)</image:caption></image:image><lastmod>2018-01-28T15:10:17+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2018/01/26/units/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2018/01/snowmass-town-sign.jpg</image:loc><image:title>snowmass town 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tan line</image:title></image:image><lastmod>2017-09-04T15:55:58+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2017/08/29/working-up-to-the-derivative/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2017/08/tan-line1.jpg</image:loc><image:title>tan 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solving with a CAS calculator. The fourth line is an intentional mistake. The user not seeing what he expects on the right recovers nicely in the next line. The last two lines are the check. </image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/09/computing-2.jpg</image:loc><image:title>computing-2</image:title><image:caption>Well, not really. 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2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/04/trello-12.jpg</image:loc><image:title>Trello 1</image:title></image:image><lastmod>2016-08-06T17:08:49+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/05/24/the-ap-calculus-concept-outline/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/05/ced-cover.jpg</image:loc><image:title>CED 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over</image:title></image:image><lastmod>2016-05-01T14:19:58+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/01/20/whats-your-favorite/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/01/beautiful-equations.jpg</image:loc><image:title>What is the most beautiful equation?</image:title></image:image><lastmod>2016-05-01T14:02:34+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/videos/derivatives/</loc><lastmod>2016-06-09T18:45:36+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2016/04/01/april-2016-exam-review/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/03/shoe-2.jpg</image:loc><image:title>shoe 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/03/shoe.jpg</image:loc><image:title>shoe</image:title></image:image><lastmod>2016-04-28T15:37:51+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/03/01/march-2016-exam-review/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2016/03/get-a-5.jpg</image:loc><image:title>get-a-5</image:title></image:image><lastmod>2016-04-01T15:20:47+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/02/27/interpreting-graphs/</loc><lastmod>2016-03-01T14:11:45+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/03/06/motion-on-a-line/</loc><lastmod>2016-03-01T14:08:46+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/03/01/march/</loc><lastmod>2016-03-01T14:06:35+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/05/01/getting-ready-for-the-exam/</loc><lastmod>2016-02-28T16:02:05+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/03/09/writing-on-the-ap-calculus-exams/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/03/calculus.png</image:loc><image:title>calculus</image:title></image:image><lastmod>2016-02-28T16:00:59+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2016/01/31/february-2016/</loc><lastmod>2016-02-07T14:19:22+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/02/04/painting-a-point/</loc><lastmod>2016-01-31T16:16:48+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/03/15/parametric-and-vector-equations/</loc><lastmod>2016-01-31T16:06:32+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/website/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/12/sudokulus-c-solution.jpg</image:loc><image:title>Sudokulus +C Solution</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/12/sudokulus-c.jpg</image:loc><image:title>Sudokulus +C</image:title></image:image><lastmod>2016-01-15T19:19:14+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/website/experience/</loc><lastmod>2016-01-15T18:23:49+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/website/cas/</loc><lastmod>2016-01-02T18:41:27+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2015/01/14/a-vectors-derivatives/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/01/blog-cycloid-4.jpg</image:loc><image:title>Blog cycloid 4</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/01/blog-cycloid-3.jpg</image:loc><image:title>Blog cycloid 3</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/01/blog-cycloid-2.gif</image:loc><image:title>Blog Cycloid 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/01/blog-cycloid-1.gif</image:loc><image:title>Blog Cycloid 1</image:title></image:image><lastmod>2016-01-01T13:53:36+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/website/publications/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/12/power_functions_cover.jpg</image:loc><image:title>power_functions_cover</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/12/limits_cover.jpg</image:loc><image:title>limits_cover</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/12/cover_mathexamb.jpg</image:loc><image:title>cover_mathexamB</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/12/cas_nctm_cover.jpg</image:loc><image:title>CAS_NCTM_cover</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/12/cover_apcalc_ab.jpg</image:loc><image:title>cover_APcalc_AB</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/12/cover_calc_bc.jpg</image:loc><image:title>cover_calc_BC</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/12/cover_mathexama.jpg</image:loc><image:title>cover_mathexamA</image:title></image:image><lastmod>2015-12-26T18:56:42+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/website/calculus/</loc><lastmod>2015-12-09T20:48:17+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2015/12/01/december-2015/</loc><lastmod>2015-12-06T15:10:01+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/12/01/december/</loc><lastmod>2015-12-01T15:40:21+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/10/31/november-2015/</loc><lastmod>2015-10-31T23:52:25+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/11/19/visualizing-solid-figures-3/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/shell-still.jpg</image:loc><image:title>Shell 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C</image:title></image:image><lastmod>2015-10-31T23:44:09+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/11/22/3537/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/kryptos-2.jpg</image:loc><image:title>kryptos 2</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/shells-still.jpg</image:loc><image:title>Washer still</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/solid-4-b.jpg</image:loc><image:title>Solid 4 B</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/solid-4-a.jpg</image:loc><image:title>Solid 4 A</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/shells-3.gif</image:loc><image:title>Shells 3</image:title></image:image><lastmod>2015-10-31T23:43:51+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/11/25/visualizing-solid-figures-5/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/half-c.jpg</image:loc><image:title>half C</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/half-d.jpg</image:loc><image:title>Half D</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/half-a.png</image:loc><image:title>half A</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/11/half-b.jpg</image:loc><image:title>half B</image:title></image:image><lastmod>2015-10-31T23:43:29+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/10/01/october-2015/</loc><lastmod>2015-10-08T21:31:07+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/08/09/using-ap-questions-all-year/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/08/calculus1.jpg</image:loc><image:title>Calculus1</image:title></image:image><lastmod>2015-08-18T12:13:45+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/08/01/why-limits/</loc><lastmod>2015-08-01T15:39:15+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/07/31/the-first-day/</loc><lastmod>2015-08-01T14:30:20+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/05/01/may/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/04/metro-in-denver.jpg</image:loc><image:title>Metro in Denver</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2015/04/tcu-pix.jpg</image:loc><image:title>TCU pix</image:title></image:image><lastmod>2015-05-03T16:31:25+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/videos/applications-of-integration/</loc><lastmod>2015-04-29T19:37:47+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2015/04/01/april/</loc><lastmod>2015-04-06T18:12:00+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/02/25/1928/</loc><lastmod>2015-02-18T16:10:17+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2015/01/01/january/</loc><lastmod>2015-01-05T16:24:22+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/09/20/power-rule-implies-chain-rule/</loc><lastmod>2014-09-22T21:42:15+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/08/31/september-2/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/08/foxtrot.jpg</image:loc><image:title>FoxTrot</image:title></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/08/foxtrot-show-work.gif</image:loc><image:title>FoxTrot show work</image:title></image:image><lastmod>2014-09-03T02:14:00+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/07/11/roulettes-and-calculus/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r5-d3.gif</image:loc><image:title>R5-d</image:title><image:caption>Epicycloid with velocity vectors</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r5-d2.gif</image:loc><image:title>R5-d</image:title><image:caption>Epicycloid with velocity vectors</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r5-c1.gif</image:loc><image:title>R5-c</image:title><image:caption>Epicycloid with velociy vectors</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/06/r5-b.gif</image:loc><image:title>R5-b</image:title><image:caption>Velocity near a cusp. </image:caption></image:image><lastmod>2014-08-18T18:27:51+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/07/28/limacons/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/07/polar-4.jpg</image:loc><image:title>Polar 4</image:title><image:caption>Figure 4</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/07/polar-1.jpg</image:loc><image:title>polar-1.jpg</image:title><image:caption>Figure 1</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/07/polar-video.gif</image:loc><image:title>Polar Video</image:title><image:caption>Graph of limacon being drawn.</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/07/polar-32.jpg</image:loc><image:title>Polar 32</image:title><image:caption>Figure 3</image:caption></image:image><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/07/polar-2.jpg</image:loc><image:title>Polar 2</image:title><image:caption>Figure 2</image:caption></image:image><lastmod>2014-08-18T18:25:41+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2014/08/01/august-vacation-or-lesson-planning/</loc><image:image><image:loc>https://teachingcalculus.com/wp-content/uploads/2014/08/hawaii-blog-8-1-141.jpg</image:loc><image:title>Hawaii blog 8-1-14</image:title><image:caption>Kauai - The next land in that direction is Antarctica </image:caption></image:image><lastmod>2020-07-15T20:17:43+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/videos/graphing-2/</loc><lastmod>2014-07-16T14:42:59+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/videos/differential-equations-2/</loc><lastmod>2014-07-16T14:04:50+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/videos/techniques-of-integration/</loc><lastmod>2014-07-12T19:41:54+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/videos/integration/</loc><lastmod>2014-07-12T19:38:33+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/videos/justify-your-answer/</loc><lastmod>2025-09-24T19:40:52+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://teachingcalculus.com/2013/09/25/mean-numbers/</loc><lastmod>2013-09-25T17:57:54+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/03/18/polar-curves/</loc><lastmod>2013-06-30T18:58:26+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/05/12/looking-ahead/</loc><lastmod>2013-05-13T15:45:46+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/05/08/todays-the-day/</loc><lastmod>2013-05-08T15:50:07+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/03/22/calculator-use-on-the-ap-exams/</loc><lastmod>2013-03-19T16:51:09+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/03/20/sequences-and-series/</loc><lastmod>2014-02-26T19:18:02+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/03/08/the-table-question/</loc><lastmod>2013-03-05T20:39:42+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/03/11/differential-equations/</loc><lastmod>2013-03-05T20:39:16+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/03/13/implicit-relations-related-rates/</loc><lastmod>2013-03-05T20:38:05+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2013/02/15/new-series-from-old-1/</loc><lastmod>2023-05-31T00:01:11+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/10/19/joining-the-pieces-of-a-graph/</loc><lastmod>2012-10-19T13:01:38+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/09/24/proofs-1/</loc><lastmod>2012-09-21T18:12:12+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/07/15/sticky-note-2/</loc><lastmod>2012-08-04T16:11:18+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/08/22/theorems/</loc><lastmod>2012-08-04T00:40:43+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com/2012/08/02/the-first-week/</loc><lastmod>2025-09-02T16:09:37+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://teachingcalculus.com</loc><changefreq>daily</changefreq><priority>1.0</priority><lastmod>2026-03-18T18:12:40+00:00</lastmod></url></urlset>
