Question
Asked Sep 29, 2019
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Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis.
x = 5 + y2, x = 0, y = 2, y = 3

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Expert Answer

Step 1
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The equation of the curve and the bounded regions are x5+ y,x= 0,y 2, y 3 x The radius of the curve is r =- 2 The height is h 2y

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Step 2

Now calculate the volume of the solid by...

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3 V 27T (2y)dy 3 - 27(x)(y)dy 2 3 - 27(5+y')(y)dy 2 3 - 2(5+ y2)y)dy 2 3 - 2T(5y+ y)dy

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Tagged in

Math

Calculus