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2. Let R be the region bounded by y = 4x - 2x2, y = x. (a) Provide an accurate graph of the functions above.

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2. Let R be the region bounded by y = 4x - 2x2, y = x. (a) Provide an accurate graph of the functions above. 3 2 0 2 3 (b) Algebraically, find the points of intersection. (c) Find the area of the region. (c) Find the volume of the solid obtained by rotating the region about the y - axis

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