Quiz 5 - Math 53, section 213
1. Find the volume of the solid that lies under the plane 4x + 6y - 2z + 15 = 0 and above the rectangle R = {(x, y) | -1 ≤ x ≤ 2, -1 ≤ y ≤ 1}.
2. Evaluate the double integral ∫∫D 2xy dA, where D is the triangular region with vertices (0, 0), (1, 2), and (0, 3).