Calculate the volume of the solid by revolving the region bounded by the curves along y axis using shell method.

Question

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Answer 1

Question

Chapter 6.2, Problem 24E

(a)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along y axis using shell method.

(b)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=3 using shell method.

(c)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=−2 using shell method.

(d)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along x axis using shell method.

(e)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line y=8 using shell method.

(f)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line y=−2 using shell method.

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3. Use the method of washers to find the volume of the solid that is obtained when the region between the graphs f(x) = √√2 and g(x) = secx over the interval ≤x≤ is rotated about the x-axis.

4. Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the x-axis. y = √√x, y = 0, y = √√3

5 4 3 21 N -5-4-3-2 -1 -2 -3 -4 1 2 3 4 5 -5+ Write an equation for the function graphed above y =

Answer 2

Question

Chapter 6.2, Problem 24E

(a)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along y axis using shell method.

(b)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=3 using shell method.

(c)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=−2 using shell method.

(d)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along x axis using shell method.

(e)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line y=8 using shell method.

(f)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line y=−2 using shell method.

Expert Solution & Answer

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Answer 3

Question

Chapter 6.2, Problem 24E

(a)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along y axis using shell method.

(b)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=3 using shell method.

(c)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=−2 using shell method.

(d)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along x axis using shell method.

(e)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line y=8 using shell method.

(f)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line y=−2 using shell method.

Expert Solution & Answer

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Answer 4

Question

Chapter 6.2, Problem 24E

(a)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along y axis using shell method.

(b)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=3 using shell method.

(c)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=−2 using shell method.

(d)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along x axis using shell method.

(e)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line y=8 using shell method.

(f)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line y=−2 using shell method.

Expert Solution & Answer

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Answer 5

Chapter 6.2, Problem 24E

(a)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along y axis using shell method.

(b)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=3 using shell method.

(c)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=−2 using shell method.

(d)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along x axis using shell method.

(e)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line y=8 using shell method.

(f)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line y=−2 using shell method.

Answer 6

Chapter 6.2, Problem 24E

(a)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along y axis using shell method.

Answer 7

Chapter 6.2, Problem 24E

(a)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along y axis using shell method.

Answer 8

(b)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=3 using shell method.

Answer 9

(b)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=3 using shell method.

Answer 10

(c)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=−2 using shell method.

Answer 11

(c)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=−2 using shell method.

Answer 12

(d)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along x axis using shell method.

Answer 13

(d)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along x axis using shell method.

Answer 14

(e)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line y=8 using shell method.

Answer 15

(e)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line y=8 using shell method.

Answer 16

(f)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line y=−2 using shell method.

Answer 17

(f)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line y=−2 using shell method.

Answer 18

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Answer 19

Expert Solution & Answer

Answer 20

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Answer 21

Calculate the volume of the solid by revolving the region bounded by the curves along y axis using shell method.

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Calculate the volume of the solid by revolving the region bounded by the curves along y axis using shell method.

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=3 using shell method.

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=−2 using shell method.

Calculate the volume of the solid by revolving the region bounded by the curves along x axis using shell method.

Calculate the volume of the solid by revolving the region bounded by the curves along the line y=8 using shell method.

Calculate the volume of the solid by revolving the region bounded by the curves along the line y=−2 using shell method.

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