Math 242, Fall 2013, Assignment 12

Algebra begins with the unknown and ends with the unknowable.

- Anon.

Carefully state the following theorems (you need not prove them):

1. Formula for triple integration in cylindrical coordinates.
2. Formula for triple integration in spherical coordinates.
3. Change-of-variables formula for double integrals (equation (9) on page 894).
4. Change-of-variables formula for triple integrals (equation (13) on page 897).

Solve the following problems:

1. Section 12.8, problems 5, 6, 7, 17, 35, and 37.
2. Section 12.9, problems 1, 3, 7, 11, 17, and 23.
3. Section 13.1, problems 1, 5, 21, and 25.

--------------------End of assignment--------------------