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MA 242Fall, 2016Test #4 - SOLUTIONSLK Norris1. (5 pts)EVALUATEthe following iterated integral:Zπ/20Z20Z√16-4r20r dz dr dθ2. (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~F= (yz)ˆi+ (xz)ˆj+ (xy+ 2z)ˆk