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Unformatted text preview: 3 + x + 1, y = 1, x = 1 about the line x = 2. Use the shell method to find the volume of the solid generated by revolving the plane region about the given line. 5. y = x 2 , y = 4x x 2 about the line x = 4. 6. y = 4x - x 2 , y = 0 about the line x = 5. 7. y = x 3 , y = 0, x = 2 a) about the x-axis b) about the y-axis b) about the line x=4 8. A solid is formed by revolving the region bounded by y = .5x 2 and y = 2 about the y-axis. A hole centered along the axis of revolution is drilled through the solid so that 1/4 of the volume is removed. Find the diameter of the hole....
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- Fall '10