Math 141, Spring 2016, Assignment 8

Do not imagine that mathematics is hard and crabbed and repulsive to commmon sense. It is merely the etherealization of common sense.

- Lord Kelvin

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

1. Conditions when distinct sets of polar coordinates denote the same point.

Solve the following problems:

1. Section 9.3, problems 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, and 35.
2. Section 9.4, problems 3, 5, 7, 9, 11, 13, and 15.

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