Math 242, Fall 2013, Assignment 13

"And do you do Addition?" the White Queen asked. "What's one and one and one and one and one and one and one and one and one and one?"

- Lewis Carroll, Through the Looking Glass

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

1. Fundamental Theorem for line integrals (Theorem 2 on page 925).
2. Theorem relating path-independence of line integrals to existence of primitives (Theorem 4 on page 927).

Solve the following problems:

1. Section 13.2, problems 1, 3, 7, 15, 19, and 21.
2. Section 13.3, problems 1, 3, 7, 9, 11, and 13.

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