>

Solution to Problem 2.1 .8 (p. 50) of Logan

Prepared by Douglas B. Meade (meade@math.sc.edu)

6 October 1998

>

This worksheet contains the essential computations needed to find the solution to this problem. It is not a complete solution -- it is missing many words and explanations that I expect to see in your work. If you have any questions about anything that I have done, please see me. An interesting challenge (OK, call it EXTRA CREDIT) is for you to generalize the ideas of this problem to obtain an expansion for the maximum height to any prespecified level of accuracy.

>

> restart;

> with( plots ):

Original Problem

Expansion for the maximum height

Graphical View of the Solution