Homework 5

Homework 5: Due Monday May 10

Unless otherwise warned, you should feel free to use Maple for any of these problems.

For all problems you should draw a neat sketch of the situation.

• Section 8.1:
  1. 1 (5 points)
  2. 4 (15 points) Do this one without the computer.
  3. 14 (15 points)
  4. 19 (15 points) If you do the integral with Maple, (which I recommend) be sure to then interpret your result. Why do you get the number you do? Why does this make sense geometrically?

• Section 8.2:
  1. 2 (15 points)
  2. 3 (15 points)
  3. 4 (15 points)

• Bonus:
  1. Section 8.1 25, 26. Some interesting, thought-provoking musings about arc length.
  2. Derive a forumla for the volume of a doughnut with inner radius R1 and outer radius R2.