Math 242, Fall 2013, Assignment 5

I was at the mathematical school, where the master taught his pupils after a method scarce imaginable to us in Europe. The proposition and demonstration were fairly written on a thin wafer, with ink composed of a cephalic tincture. This the student was to swallow upon a fasting stomach, and for three days following eat nothing but bread and water. As the wafer digested the tincture mounted to the brain, bearing the proposition along with it.

- Jonathan Swift, Gulliver's Travels

Carefully define the following terms:

1. Tangential component of acceleration.
2. Normal component of acceleration.
3. Parametric surface.
4. Surface of revolution.
5. Level curves.
6. Level surfaces.

Solve the following problems:

1. Section 10.4, problems 3, 11, 13, and 33.
2. Section 10.5, problems 1, 5, 13, 19, and 21.
3. Section 11.1, problems 9, 15, 19, 27, and 46.

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