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Question 1. Use the disk (or washer) method to nd the volume of the solid obtained by rotating the region bounded by the given curves

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Question 1. Use the disk (or washer) method to nd the volume of the solid obtained by rotating the region bounded by the given curves about the specied line. Sketch a typical disk or washer. y2 = 2:, m 2 2y; about the yaxis. Question 2. Use the disk (or washer) method to find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch a typical disk or washer. y =x, y = vx; about y = 1.Question 3. Use the cylindrical shell method to find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch a typical cylindrical shell. y =x -x, y=0; about x = 2.Question 4. Use the cylindrical shell method to find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch a typical cylindrical shell. y=x, x=y"; about y = -1.Question 5. Refer to the gure to express the integral for the volume generated by rotating the given region about the specied line. You must express each volume in terms of disks (or washers) and cylindrical shells. Do not evaluate any of the integrals. 3(0,1) M (1,1) 0 Solid Disk (or washers) Cylindrical shells D1 about SM D3 about OS D2 about OP

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