Unformatted text preview: is revolved around the line y =-1. 6. Let A be the region bounded by the curves y = √ x and y = x 2 . Find the volume obtained when A is revolved around the y-axis, using two diﬀerent methods (washers and shells) and verify that you get the same answer both times . You should set up your integrals by hand. You may use Maple to assist with the computation if you like. 7. Find the average value of y = x 99 on the interval [-1 , 1]. 8. Find the average value of y = x 100 on the interval [-1 , 1]. 1...
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- Spring '08