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14. Consider 56014 - dr, where F(:r, y, z) = and C is the curve of intersection ofthe cylinder 2: = 4 a:2 with each

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14. Consider 56014" - dr, where F(:r, y, z) = and C is the curve of intersection ofthe cylinder 2: = 4 a:2 with each ofthe following : the cylinder 11:2 + y2 = 2, and planes 3: = U, y = 0, in the rst octant. (Orient C to be counterclockwise when viewed from above). DO NOT EVALUATE! a. Set up integrals to nd this directly. Use a smooth parametrization. DO NOT EVALUATE! b. Use an appropriate theorem to set up an iterated integral to evaluate the given line integral as a type I. State the name of the theorem you are using. DO NOT EVALUATE

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