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

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Answer 1

Question

Chapter 6.2, Problem 23E

(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=4 using shell method.

(c)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=−1 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=7 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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Suppose that f(x, y, z) = (x − 2)² + (y – 2)² + (z − 2)² with 0 < x, y, z and x+y+z≤ 10. 1. The critical point of f(x, y, z) is at (a, b, c). Then a = b = C = 2. Absolute minimum of f(x, y, z) is and the absolute maximum is

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Answer 2

Question

Chapter 6.2, Problem 23E

(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=4 using shell method.

(c)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=−1 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=7 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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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 6.2, Problem 23E

(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=4 using shell method.

(c)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=−1 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=7 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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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 6.2, Problem 23E

(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=4 using shell method.

(c)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=−1 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=7 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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Check out a sample textbook solution

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Answer 5

Chapter 6.2, Problem 23E

(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=4 using shell method.

(c)

To determine

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=−1 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=7 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 23E

(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 23E

(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=4 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=4 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=−1 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=−1 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=7 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=7 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=4 using shell method.

Calculate the volume of the solid by revolving the region bounded by the curves along the line x=−1 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=7 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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Chapter 6 Solutions