Good Question 2: 2002 BC 5

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.…

Good Question 1: 2008 AB 6

When I started this blog several years ago I was hoping my readers would ask questions that we could discuss or submit ideas for additional topics to write about. This has not really happened, but I’m still very open to the idea. (That was a HINT.) Since that first year when I had the entire…

The Marble and the Vase

A fairly common max/min problem asks the student to find the point on the parabola that is closest to the point .  The solution is not too difficult. The distance, L(x), between A and the point  on the parabola  is given by And the minimum distance can be found when This occurs when . The local…