Math 208 (Lutz) - Quiz #9, 4/11/14
Name:
Directions: This quiz has 2 questions, for a total of 20 points. Solve each problem carefully. You must
show ALL of your work in order to earn full credit.
!
! where S is the portion of the surface z = x2 + y 2
1. (10 points) Compute the flux integral S (xy!j) · dA,
which lies above the triangle with vertices (0, 0), (1, 1), and (1, 0), oriented upward.
2. (10 points) Compute the flux of F! = x!k through the portion of the sphere of radius 3 centered at the
origin in the first octant, oriented away from the origin.