Math 208 (Lutz) - Quiz #10, 4/18/14
Name:
Directions: This quiz has 3 questions, for a total of 20 points. Solve each problem carefully. You must
show ALL of your work in order to earn full credit.
1. (6 points) Compute the curl of the vector field F! = 2yz!i + 2xz!k + 6xy!k.
! = y!i+z!k out of the closed box 0 ≤ x ≤ 2,
2. (6 points) Use the Divergence Theorem to find the flux of H
0 ≤ y ≤ 3, 0 ≤ z ≤ 4.
3. (8 points) Find the surface area of the portion of the graph of f (x, y) = x2 − y 2 + 4 that lies above
the disc of radius 1 in the xy-plane centered at the origin.