1. Use Green's Theorem to compute  where C is the first-quadrant arc of a circle (centered at the origin) of radius 3 oriented counterclockwise followed by the line segment from (0,3) to (0,0) and then the line segment from (0,0) to (3,0).
 
 

2. Compute the curl of the vector field F(x,y,z) = xy j + xyz k.
 
 

3. Compute the divergence of the vector field F(x,y,z) = x³i - e^xyj + sin y k.