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8. Let R be the shaded region bounded by x = y - y', y = x2, y = 1 and x 2 0. See
8. Let R be the shaded region bounded by x = y - y', y = x2, y = 1 and x 2 0. See below. (10 marks) (a) Set up an integral or integrals that express the area of R (DO NOT EVALUATE). (b) Use the most convenient method(Disk method or Shell method) to set up the integral to find the volume obtained by rotating region R around x = 2 (DO NOT EVALUATE) (c) Use the most convenient method(Disk method or Shell method) to set up the integral to find the volume obtained by rotating region R around a axis (DO NOT EVALUATE)
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