$\"\"$

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(a) Use Simpson $\"\"$ s rule find volume.

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Simpson $\"\"$ s rule:

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$\"\"$ .

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In this case $\"\"$ .

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

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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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(b)

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Plot the data using regression capabilities:

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$\"\"$

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Observe the graph:

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The equation is $\"\"$ .

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Graph the function $\"\"$ .

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Graph:

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$\"\"$

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$\"\"$

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(c)

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The function is $\"\"$ .

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Consider $\"\"$ .

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Disk method :

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

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The integrating limits are $\"\"$ .

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$\"\"$ .

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Graph the integral $\"\"$ .

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$\"\"$

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Observe the graph:

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The volume is $\"\"$ .

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$\"\"$

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$\"\"$

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(a) $\"\"$ .

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(b)

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$\"\"$

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The equation is $\"\"$ .

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Graph of the function is $\"\"$ .

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$\"\"$

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(c)

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$\"\"$ .