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(a)

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The equations are $\"\"$ and $\"\"$ .

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The volume of the solid generated revolving about the $\"\"$ - axis.

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Formula for the volume of the solid with the Washer method,

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$\"\"$ .

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The outer radius of revolution is $\"\"$ .

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The inner radius of revolution is $\"\"$ .

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Find the integral limits by equating two curve equations.

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$\"\"$

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$\"\"$

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Apply zero product property.

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$\"\"$ and $\"\"$ .

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$\"\"$ and $\"\"$ .

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So $\"\"$ and $\"\"$ .

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Substitute $\"\"$ and $\"\"$ and $\"\"$ and $\"\"$ in $\"\"$ . $\"\"$

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$\"\"$

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$\"\"$

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Apply power rule $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The volume of solid is $\"\"$ .

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(b)

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The equations are $\"\"$ and $\"\"$ .

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The volume of the solid generated revolving about the line $\"\"$ .

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Formula for the volume of the solid with the Washer method, $\"\"$ .

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The outer radius of revolution is $\"\"$ .

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The inner radius of revolution is $\"\"$ .

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Find the integral limits by equating two curve equations.

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$\"\"$

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$\"\"$

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Apply zero product property.

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$\"\"$ and $\"\"$ .

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$\"\"$ and $\"\"$ .

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So $\"\"$ and $\"\"$ .

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Substitute $\"\"$ and $\"\"$ and $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Apply power rule $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The volume of solid is $\"\"$ .

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(a) The volume of solid is $\"\"$ .

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(b) The volume of solid is $\"\"$ .