1. Let R be the region in the xy-plane bounded by y = 2x, x = 10, and y = -1. Set up but do not evaluate ∬_R (x^2 + y^2) dA in the order dy dx and dx dy.
2. Let R be the region that lies to the left of the y-axis between the circles x^2 + y^2 = 1 and x^2 + y^2 = 16. Find ∬_R 5(x + y).
3. Find the volume of the solid that is above the xy plane, below the ellipsoid 4x^2 + 4y^2 + z^2 = 64 but inside the cylinder x^2 + y^2 = 9.
4. Find the volume of the solid enclosed by the paraboloids y = x^2 + z^2 and y = 32 - x^2 - z^2.
5. Evaluate in spherical coordinates. ∫_0^10 ∫_0^√(100-x^2) ∫_√(x^2+y^2)^√(200-x^2-y^2) yz dz dy dx