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# 242hw2 - is revolved around the line y =-1 6 Let A be the...

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Math 242 Homework 2 Sections 012 and 014: Due Wednesday Feb 23rd Section 050: Due Tuesday Feb 22nd 1. Find the area bounded by the curves y = sin ± πx 2 ² and y = x . 2. Let A be the region bounded by the curves x = 1 + y 2 and y = x - 3. Find the volume obtained when A is revolved around the y -axis. 3. Let A be the region bounded by the curves y = x 2 - 6 x + 8 and y = 0. Find the volume obtained when A is revolved around the y -axis. 4. Let A be the region bounded by the curves y = x 2 - 6 x + 8 and y = 0. Find the volume obtained when A is revolved around the x -axis. 5. Let A be the region bounded by the curves y = x 2 and x = y 2 . Find the volume obtained when A
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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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