1. Compute  for the vector field F(x,y)=(x² - y²)i - (y²)j where C is the positively oriented boundary of the region enclosed by the parabolas y = x² and x = y².
 
 

2. If F(x,y,z) = xy i + yz j + xz k, compute curl F.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

3. If F(x,y,z) = xy i + yz j + xz k, compute div F.