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

1. Set up a double integral for the volume of the solid lying under the elliptic paraboloid x²/4 + y²/9 + z = 1 and above the square R = [-1,1] × [-2,2].
 
 

2. Set up a double integral for the volume of the solid lying under the paraboloid z = 9 - x² - y² and above the xy-plane.
 
 

3. Compute the value of  [Hint: The TI-89 says it's 4].