MATH 122 Midterm: MATH 122 Drexel 122W12 Test1a
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Note: in order to receive full credit, i need to see all your work. Un- justi ed solutions, or solutions from a calculator, will receive partial or no credit. 2: (25 points) use the divergence theorem to calculate the surface integral. Here a, b, c and d are constants. (1) z2 = ax2 + ay2. Your answer should be an integral in polar coordinates. (d) set up the integral. Z z ze z3px2 + y2 + z2dv in spherical coordinates, where e is the upper hemisphere of the unit sphere centered at the origin. 5 (e) the integral of f (x, y) = x2y sin(xy) over the triangular region with corners ( 3, 0), (4, 0), and (0, 5). There are two ways to do it - dydx and dxdy. Full credit will only be given if you set it up in the order that makes the integration easiest.
