MATH 217 Study Guide - Midterm Guide: Divergence Theorem
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The exam is worth a total of 100 points with a duration of 2. 5 hours. Justify all answers, show all work and explain your reasoning carefully. You will be graded on the clarity of your explanations as well as the correctness of your answers. The plea of accident or forgetfulness will not be received. (4) smoking is not permitted during examinations. Find the maximum and minimum values of f (x, y) = e . Y2 (x2 + 2y2) on the set d = {(x, y)|2x2 + y2 4}. Let f (x, y, z) =< 0, ey sin(x), ez sin(x) >: find the curl of f , find a function h(x, y, z) such that the vector eld. G(x, y, z) =< h(x, y, z), ey sin(x), ez sin(x) > is conservative. Find a function g(x, y, z) such that g(x, y, z) = g(x, y, z): calculate rc.
