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s. (5 points each, 20 points in all) Consider the region R bounded by the curve sin y = VI, the line y = 7/2,
s. (5 points each, 20 points in all) Consider the region R bounded by the curve sin y = VI, the line y = 7/2, and the y-axis, as shown. (a) Suppose we rotate this region about the y-axis to make a solid Q. Set up, but do not evaluate, an integral representing the volume of Q using washers. Show all of your reasoning. (b) Set up, but do not evaluate, an integral to find the volume of Q using cylindrical shells. Show all reasoning. (c) Suppose we instead rotate this region about the line y = -1 to make a solid S. Using either the method of washers or the method of cylindrical shells, set up, but do not evaluate, an integral representing the volume of S. Show all of your reasoning. (d) Finally, suppose that we form a solid T by constructing a square atop each vertical cross-section of R. (In other words, the solid T has the region R as its base, and every cross-section perpendicular to the r-axis is a square.) Set up, but do not evaluate, an integral to find the volume of T, showing all reasoning
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