Instructions: please show all of your work and make your methods and reasoning clear. Answers out of the blue with no supporting work will receive no credit (unless the directions to a speci c problem say otherwise, of course). Please start each numbered problem on a new page in your bluebook and do the problems in order. Please sign the front of your blue book indicating you read and understood these directions in addition to the cu honor code. Note that div f = 4 2 + 3 = 5, so by the gauss" theorem the outward ux across the surface of e is. F n ds = zzze div f dv = 5zzze. To actually nd this volume we should do the integral in cylindrical coordinates, where the projection of. E onto the xy-plane is the unit circular disk r given by x2 + y2 1. = 10 z 1 r(2 r2 r2) dr.
