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5. Let R be the region in the first quadrant bounded by y' = x and x = y. (a) Find the area of region

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5. Let R be the region in the first quadrant bounded by y' = x and x = y. (a) Find the area of region R. (b) Find the volume of the solid generated when R is revolved about the r-axis. (c) The section of a certain solid cut by any plane perpendicular to the x-axis is a circle with the endpoints of its diameter lying on the parabolas y' = x and x' = y. Find the volume of the solid

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