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.