100%(14)14 out of 14 people found this document helpful
This preview shows page 1 - 2 out of 3 pages.
MA 242Fall, 2017Test #4 - SOLUTIONSLK Norris1. (15 pts)Set-up the triple iterated integral insphericalcoordinatesthat gives thevalue of the triple integral of the functionf(x, y, z) = (x2+y2+z2)3/2over the regionin the first octant bounded by the spherex2+y2+z2= 9, the half-planesθ=π4andθ=π3, and the planez= 0.DO NOT EVALUATE.2. (10 pts)One of the following two vector fields is conservative, the other is not. De-termine which one is conservative andthen find all potential functionsfor thatconservative vector field.~F= (2yz)ˆi+ (xz)ˆj+ (xy-3z)ˆk~G= (yz)ˆi+ (xz)ˆj+ (xy+ 2z)ˆk