30 family members from C = -3 (bottom)to C = 0 (top)

A Family of Functions

Good Question 2, continued.  Today we continue looking at Good Question 2 from our last post. The jumping off place was the BC calculus exam question 5 from 2002. We looked at the differential equation  and its slope field and discussed the questions asked on the exam. Then we saw how to actually solve the equation…

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Good Question 2

This is the second in my occasional series on good questions, good from the point of view of teaching about the concepts involved. This one is about differential equations and slope fields.The question is from the 2002 BC calculus exam. Question 5. while a BC question, all but part b are suitable for AB classes.…

amortization

Amortization

This is an example of how sequences and series are used in “real life.”  It could be used in a calculus class or an advanced math class. When you borrow money to buy a house or a car you are making a kind of loan called a mortgage. Paying off the loan is called amortizing…

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Graphing Calculators

I was asked to pass the following information along to you. I decided to do so because you may want to know about one of the newest CAS calculator models and because their follow-up offer for attending the summer institute is so generous. If your school and students need help getting calculators and/or you want…