MATH 226 Study Guide - Final Guide: Talking Lifestyle 1278, Tangent Space, Parametric Surface
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Cheating is not tolerated: clearly indicate your nal answers by circling them, show all your work. Unsupported answers will not receive credit: in general you do not need to simplify your an- swers, but you will need to evaluate simple numbers, point values are labeled and there are 100 total points possible. 1: [10 points] use green"s theorem to evaluate zc. F (x, y) =< y2, 3xy >, and c is the boundary of the quarter-circular annulus as shown below with the path oriented counterclockwise. x2 + y2 = 1 x2 + y2 = 4. 2: [10 points] a) (3points) is f (x, y, z) =< ye x, e x, 2z > a conservative. Eld. ? (you need to justify your answer to get credit: (7 points) if it is, nd f (x, y, z) so that f = f (x, y, z). 3: [10 points] use stokes" theorem to evaluate. F dr, where f (x, y, z) =< x2y,
