Sketch the region draw in a typical shell identify

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6. Sketch the region, draw in a typical shell, identify the radius and height of the shell, and compute the volume for the region bounded by 2 y x and , revolved about x = 2 .
WA 1, p. 6
8. Sketch the region, draw in a typical shell, identify the radius and height of the shell, and compute the volume for the region bounded by 2 2 2 x y y , revolved about y = 4 . 2
12. Use cylindrical shells to compute the volume of the region bounded by 2 x y and x = 4 revolved about y = 2 , . 2
WA 1, p. 7
22. Use the best method available to find the volume of the region bounded by 2 2 , ( 0) y x y x x and the y -axis revolved about (a) the x -axis, (b) the y -axis, (c) –1, and (d) y = –1. x = Part (a): Part (b): Part (c): Part (d): WA 1, p. 8
24. Use the best method available to find the volume of the region bounded by 1, 2 x y e y x and the x-axis revolved about the (a) x -axis and (b) y -axis.

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