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4. A plane region is bounded by the two curves x = y' and x - y = 2. (14 pts) (a) Sketch the graphs

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4. A plane region is bounded by the two curves x = y' and x - y = 2. (14 pts) (a) Sketch the graphs and identify the enclosed region. xb (b) Find the area of the region. Please evaluate the integral. (c) Assume the above region is the base of a solid. The cross-section of the solid, perpendicular to y-axis, is a rectangle with the shorter side on the base and the length of the longer side doubles the width (the shorter side). Set up the integral for the volume of the solid. You do not need to evaluate the integral

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