Assignment 1

Due Thursday Sept. 27 for Section 1
Due Wednesday Sept. 26 for Section 2

Section 1.1 Problems 3,4,15,19,29,36,37. Also do the following problem:

Hugging the Equator
Suppose that you have a rope around the equator of a basketball and that the radius of the basketball is 6 inches. How much longer would you have to make the rope so that it is 1 foot from the surface of the basketball at all points?

Now suppose you have the rope around the equator of the earth. (Yes, a rope about 132,000,000 feet long!) How much longer would you have to make the rope so that it is 1 foot off the ground all the way around the equator?

In general, if you have a sphere and a rope around the equator, how much longer do you have to make the rope so that it is 1 foot from the surface of the sphere?

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