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9. (20 points) Consider the region bounded by the curves y = 4x - x2 and y = 2x shown below. Set up an integral

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9. (20 points) Consider the region bounded by the curves y = 4x - x2 and y = 2x shown below. Set up an integral that gives the volume of the solid obtained by rotating this region about the given line. Use the most appropriate method (shell or disk / washer). (a) y =5 (c) x=-1 y 5 5 xy = 2x y = 2x 4 3 3 y = 4x - x2 y = 4x - 2-2 2 2 2 3 2 3 (b) x = 3 (d) y =-1 y y 5 - 5 Ay = 2x Ay = 2x 4 - 3 + 3 y = 4x - x2 y = 4x - x2 2 - 2 + 2 3 N - 3

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