Math 221- Chapter 16 Study Guide


  1. Evaluate the iterated integrals. Two parts. Look at problems 16.1.1-12 and 16.2.1-10
  2. Express the integral as an equivalent integral with the order of integration reversed. Look at problems 16.2.41-46
  3. Evaluate a double integral over the region described. Look at problems 16.2.13-22
  4. Evaluate the iterated integral by converting to polar coordinates. Look at problems 16.3.23-30
  5. Find the surface area. Look at problems 16.4.35-46
  6. Find the equation of the tangent plane to the parametric surface at the stated point. Look at problems 16.4.29-34
  7. Sketch the solid whose volume is given by the integral and then find the volume. Look at problems 16.5.23-24
  8. Find the centroid of the region enclosed. Look at problems 16.6.5-10
  9. Use the Theorem of Pappus to find the volume of the solid of revolution of the region about a line. Be sure you can find the distance between a point and a line. Look at problems 16.6.35-39
  10. Use cylindrical coordinates to find the volume of a solid. Look at problems 16.7.5-8, 13-16, 31-36
  11. Use spherical coordinates to find the mass of a solid. Look at problems 16.7.23-24, 31-36
  12. Solve for x and y in terms of u and v and then find the Jacobian. Look at problems 16.8.5-8
  13. Evaluate the integral by making an appropriate change of variables. Look at problems 16.8.27-31

Notes:

# 1 2 3 4 5 6 7 8 9 10 11 12 13 Total
Pts 10 7 7 7 7 8 7 8 8 8 8 7 8 100