Homework Assignment #2
- Chapter 3.2, exercise 4 (read the section on the Mean Value Theorem if you do not remember it).
- Now, read the derivation of the Riemann sum for the length of a curve, Chapter 5.5 after "The Basic Formula". Think about how the Mean Value Theorem is used (not to be turned in).
- Chapter 5.1, exercise 56 (using Maple).
- Chapter 5.3, exercise 2, 16, 20.
- Chapter 5.4, exercise 2, 23, 38.
- Chapter 5.4, exercise 35. Try the disk method, too. Does it work?
- Chapter 5.5, exercise 9, 19.
- Here is a Maple worksheet for drawing a solid of revolution, similar to what I showed in class. Do you understand what it does? Try plotting some different solids of revolution. (not to be turned in).
Every exercise should be turned in, unless otherwise noted.