Calculus IV Quiz 5 Fall 1998 11/13/98
1. Use Green's Theorem to compute
where C is the top half of a circle (centered at the origin) of radius
2 along with the straight line segment from (-2,0) to (2,0).
2. Compute the curl of the vector field F(x,y,z) = i
- 2x j + y k.
3. Compute the divergence of the vector field
F(x,y,z) = xey i - ze-y
j + y ln z k.