lab10_solns_f11

lab10_solns_f11 - Math 116 - Lab 10 Solutions - Fall 2011....

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Math 116 - Lab 10 Solutions - Fall 2011. 1. Use the method of disks to compute the volume of the solid of revolution generated by the following areas: a) Between y = 8 - x/ 2, y = 2, y = 5, and x = 0; about x = 0. 1
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b) Between y = 4 x - x 3 , x = 0, x = 2, and y = 6; about y = 6. 2
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2. Use the method of washers to compute the volume of the solid of revolution generated by the following areas: a) Between y = 4 - x 2 and y = 8 - 2 x 2 ; about y = 0. 3
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b) Enclosed by x 2 + y 2 = 4; about x = 4. 4
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3. Use the method of spherical shells to compute the volume of the solid of revolution generated by the following areas: a) Between y = 4 x - x 2 and y = 16 - x 2 , for x 0; about x = 0. b) Between 4 x 2 + y 2 = 1 and x 2 / 4 + y 2 = 1, for y 0; about y = 0. 5
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a) Consider a solid of revolution generated by revolving about the x -axis the area between the function f ( x ), x = a , x = b and the x -axis. Using Riemann sums, derive the formula for computing the volume of this solid of revolution using the method of disks. 6
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lab10_solns_f11 - Math 116 - Lab 10 Solutions - Fall 2011....

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