1. (5pts) Evaluate the integral: 2. (10pts) Evaluate Poverty'+ dadyde by converting to either cylindrical or spherical coordinates. 3. (10pts) Find the volume of the solid enclosed by the paraboloid z = x2 + y2 + 1 and the planes x = 0, y = 0, z = 0, and xty = 2. 4. (10pts) Find the Jacobian for u = r - y, and v = r + y. Then use it to evaluate T - ydA where R is the square ty R defined by the vertices (0, 2), (1, 1), (2, 2) and (1, 3). 5. (15pts) Find the center of mass for the density function p(x, y) = y over the parabola r = 1 - y in the first quadrant