MATH 122 Midterm: MATH 122 Drexel 122W11 Test2 a

• School: Drexel University
• Department: Mathematics
• Course: MATH 122
• Professor: All

Document Summary

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) compute each of the following double integrals. (a) (15 points) 2 ey2 dydx. (hint: you don"t know how to integrate ey2 easy way to x this!) But there"s an (b) (10 points) the integral of f (x, y) = (x2 + y2)5 over the region bounded by x2 + y2 = 4 with x 0. 3: (25 points) (a) (13 points) use the divergence theorem to compute the ux of f across. Your answer should be an integral in terms of t. 7 (b) the integral of f (x, y, z) = sin(x2 + y2 + z2) over the region below the cone z2 = x2+y2, above the xy-plane, and within the sphere x2+y2+z2 = 4. 8: (25 points) consider the vector eld.