Question
Asked Dec 3, 2019
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Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y=x2 and y2=x about the x-axis.

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Expert Answer

Step 1

Given:

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y x andx y about the x-axis

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Step 2

Find the intersection point:

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.[1] y² =x . [2] by [1]and[2]: y=(r*} y = x? ..... y = y* y* – y = 0 У(у - 1) -о y = 0 y -1=0 y =1 %3D y =1 y = x = 0° = 0 y = x² = 1° =1 So, the intersection point is (0, 1)

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Step 3

Graph:

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= x y = x* 2

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Tagged in

Math

Calculus

Integration