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(12) (3 marks) The integral below describes the volume of a solid. V - 7 / 1 9 - ( 3 - VI ) ]

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(12) (3 marks) The integral below describes the volume of a solid. V - 7 / 1 9 - ( 3 - VI ) ] di Describe the solid. Make sure to include a drawing. You do not have to evaluate the integral. (13) (4 marks) Set-up an integral which uses the method of cylindrical shells to find the volume of the solid generated when the region in the first quadrant bounded by the curves y = 2x2 and y = x2 + 1 is rotated about the axis x = 2. You do not have to evaluate the integral, but make sure to include a drawing

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