Calculus IV Quiz 5 Fall 1999 11/15/99


1. Use Green's Theorem to compute  where C is the positively oriented rectangle having vertices (0,0), (2,0), (2,4), and (0,4).
 
 
 

2. Compute the curl of the vector field F(x,y,z) = x2i - yzj + (x+y+z)k.
 
 
 

3. Compute the divergence of the vector field F(x,y,z) = x2i - yzj + (x+y+z)k.