Question: 3. [12 marks] Use the indicated method to find the volume of the solid generated when the region between the curves y = (x 1)?

3. [12 marks] Use the indicated method to find the volume of the solid generated when the region between the curves y = (x 1)? and y = 1 is rotated around the indicated axis: a. (6 points) The x axis (use the method of discs and washers) b. (6 points) The y axis (use the method of cylindrical shells) Note: Give exact answers where possible (for example, 7 is exact but 3.142 is approximate)

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