Let R be the region bounded by y = 8 sin(2), y = 8(x - 2)², and y = 2z + 6, and containing the point (2,8). a) Find the area of R b) Find the volume of R rotated about the x-axis 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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