Section 16.8 Worksheet:

Assignment:

• Part I: Page 1052: 1, 2, 5, 7, 13, 14, 33 (due Monday, 3/29);
• Part II: Page 1052: 3, 4, 6, 17, 23, 25, 26, 29, 35 (due Wednesday, 3/31);

1. What's the formula for dV, a small chunk of volume, in cylindrical coordinates?

2. What's the formula for dV in spherical coordinates?

3. If we call ``polar rectangles'' rectangles (even though they're not rectangles in the Cartesian plane), what might we call the corresponding volume elements in the cylindrical and spherical cases?

4. Have a look at the ``Roller Derby'' applied project at the end of the section, and test your intuition! (Don't cheat and look at the answers before guessing.) Were you right?