## Math 221 - Chapter 17 Study Guide

1. Find div F and curl F. Look at problems 17.1.13-18*
2. Evaluate a line integral along the curve shown. Look at problems 17.2.21-24.
3. Evaluate the line integral. Two parts. Look at problems 17.2.7-18*
4. Show that the integral is independent of path and find its value. Look at problems 17.3.9-14*
5. Show that the vector field is conservative and find a potential function for it.
6. Evaluate the closed line integral. Assume that the curve C is oriented counterclockwise. Look at problems 17.4.3-13*
7. Evaluate the closed line integral using Green's Theorem. Assume that the curve C is oriented counterclockwise. Look at problems 17.4.3-13*
8. Evaluate the surface integral. Look at problems 17.5.27-30
9. Evaluate the surface integral. Look at problems 17.5.1-10*
10. Evaluate the flux of F across a surface. Look at problems 17.6.7-12*
11. Use the Divergence Theorem to evaluate the surface integral F dot n. Look at problems 17.7.5-15*
12. Use Stoke's Theorem to evaluate the integral. Look at problems 17.8.7-14*

### Notes:

• *'d problems are directly from the text.
 # 1 2 3 4 5 6 7 8 9 10 11 12 Total Pts 10 6 14 8 8 6 8 8 8 8 8 8 100