Calc: 6.2-6.4 Disk, Washer, Shell Method and Arc Length & Surface Area

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13 Terms

1
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What is the formula for the disk method rotated about the x-axis?

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2
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What is the formula for the disk method rotated about the y-axis?

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3
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What is the formula for the washer method rotated about the x-axis?

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4
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What is the formula for the washer method rotated about the y-axis?

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5
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What should be done if the solid is revolved around another axis of rotation besides the axis?

Adjust if there is an axis between function and the new line

6
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What is the formula for shell method when revolving R about the y-axis?

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7
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What is the formula for shell method when revolving R about the x-axis?

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8
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What is the formula for shell method when revolving R about a line?

Depends, adjust the h or r depending on situation

Edge- Center

9
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What is the formula for shell method when revolving R has 2 function?

May need to adjust h

10
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What is the formula for arc length if function is in terms of x?

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11
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What is the formula for arc length if function is in terms of y?

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12
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What is the formula for the area of a surface of revolution about the x-axis?In what term should the integral be in?

Should be in terms of x

13
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What is the formula for the area of a surface of revolution about the y-axis? In what term should the integral be in?

Should be in terms of y