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40) The region bounded by f(x)=−2x^2+12x+32, x=0 and y=0 is rotated about the y-axis. Find the...

40) The region bounded by f(x)=−2x^2+12x+32, x=0 and y=0 is rotated about the y-axis. Find the volume of the solid of revolution.

Find the exact value; write answers without decimals.

Math   Calculus   
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Answer #1

At first we draw the region bounded by the given curves. Then rotating the region about y axis and get a solid. Finally evaluate the volume of solid using shell method.

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