Each problem is worth 5 points. For full credit indicate clearly how you reached your answer.

1. Set up  for each of the regions shown:

a)         b)
 
 

2. Set up a double integral in polar coordinates for the volume of the solid above the cone  and below the sphere x² + y² + z² = 1.
 
 

3. Set up integrals for the center of mass of the lamina with density (x,y) = xy occupying the region in the first quadrant bounded by the parabola y = x² and the line y = 1.