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6. (6 points) Let S be the part. of the paraboloid z = (1(322 + y2 9), where a > 0 is a real number5

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6. (6 points) Let S be the part. of the paraboloid z = (1(322 + y2 9), where a > 0 is a real number5 for which 2 S 0, and the normal vectors are oriented away from the origin. Let. F = {3:2+y2, 22 .-1:, z+y2). Use Stokes1 Theorem to determine ff (V X F) - ndS. 5

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