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Math 241, Quiz 5, Summer 2023 July 26, 2023 Due August 1, 2023 Please submit solutions in a single document. Each problem is worth 10

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Math 241, Quiz 5, Summer 2023 July 26, 2023 Due August 1, 2023 Please submit solutions in a single document. Each problem is worth 10 points. 1. Convert J *x x dzdydx to cylindrical or spherical coordinates and evaluate. 2. Use the change of variables indicated to evaluate the double-integral JJ4(x + vje*-> dA where R is the interior of the triangle whose vertices are (-1, 1), (0, 0) and (1, 1): x = = (u + v) and y = = (u -v) 3. Evaluate the line integral ( (x - y + 32)ds where C is the line segment from (0, 0, 0) to (1, 2, 1)

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