Math 242, Fall 2013, Assignment 15

I must study politics and war that my sons may have liberty to study mathematics and philosophy.

- John Adams, letter to Abigail Adams, May 12, 1780

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

1. Stokes' Theorem.
2. The Divergence Theorem.

Solve the following problems:

1. Section 13.6, problems 5, 7, 9, 23, 25, and 27.
2. Section 13.7, problems 3, 5, 9, 13, and 15.
3. Section 13.8, problems 1, 3, 5, 7, 9, and 11.

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