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0 Question 11 ' ( > Let R be the region bounded by y = 73in(gat), y = 7(a: 2)2, and y = a: +

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0 Question 11 ' ( > Let R be the region bounded by y = 73in(gat), y = 7(a: 2)2, and y = a: + 6, and containing the point (2,7). a} Find the area of R :] b) Find the volume of R rotated about the x-axis :] c) Find the volume of R rotated about the y-axis :] d) Suppose R is the base of a shape in which cross-sections perpendicular to the x-axis are squares. Find the volume of this shape. :]

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