# Study Guide - Chapter 14

## Math 221

1. Evaluate the multiple integral. Change the coordinate system when convenient. In each case, sketch the region of integration. Three parts. Look at problems 3 - 12 in the review*
2. Consider the region described. Write the limits for the double integral for both orders and compute the area of the region. Look at problems 17 - 24 in the review*.
3. Use a multiple integral and a convenient coordinate system to find the volume of the solid. Two parts. Look at problems 25 - 30 in the review*.
4. Find the center of mass of the solid of uniform density bounded by the given equations. Look at problems 37 - 40 in the review*.
5. Perform a change of variables to evaluate the integral. Look at problems 9 - 14 and 23 in section 14.8*.

All problems are directly from the textbook with the exception that problem 1 also asks for a sketch of the region of integration.

The in-class portion of the test is 60 points.

The take home portion of the tests is 40 points.

1. 14.2.62
2. 14.3.30
3. 14.4.30
4. 14.5.36
5. 14.6.18
6. 14.7.38
7. 14.8.22
8. 14.8.27-28