the partial derivative ∂ S ∂ w ( 160 , 70 ) .

Question

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Answer 1

Question

Chapter 9.2, Problem 41E

a.

To determine

To find: the partial derivative ∂S∂w(160,70) .

b.

To determine

To find: the partial derivative ∂S∂h(160,70) .

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Volume of a box A box with a square base of length x and height h has a volume V = x2 h.a. Compute the partial derivatives Vx and Vh.b. For a box with h = 1.5 m, use linear approximation to estimate the change in volume if x increases from x = 0.5 m to x = 0.51 m.c. For a box with x = 0.5 m, use linear approximation to estimate the change in volume if h decreases from h = 1.5 m to h = 1.49 m.d. For a fixed height, does a 10% change in x always produce(approximately) a 10% change in V? Explain.e. For a fixed base length, does a 10% change in h always produce(approximately) a 10% change in V? Explain.

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Find all the second-order partial derivatives of the functions 41. w = ye^(x2-y) 42.w= (x - y)/( x2 + y)

Answer 2

Question

Chapter 9.2, Problem 41E

a.

To determine

To find: the partial derivative ∂S∂w(160,70) .

b.

To determine

To find: the partial derivative ∂S∂h(160,70) .

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Answer 3

Question

Chapter 9.2, Problem 41E

a.

To determine

To find: the partial derivative ∂S∂w(160,70) .

b.

To determine

To find: the partial derivative ∂S∂h(160,70) .

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Answer 4

Question

Chapter 9.2, Problem 41E

a.

To determine

To find: the partial derivative ∂S∂w(160,70) .

b.

To determine

To find: the partial derivative ∂S∂h(160,70) .

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Answer 5

Chapter 9.2, Problem 41E

a.

To determine

To find: the partial derivative ∂S∂w(160,70) .

b.

To determine

To find: the partial derivative ∂S∂h(160,70) .

Answer 6

Chapter 9.2, Problem 41E

a.

To determine

To find: the partial derivative ∂S∂w(160,70) .

Answer 7

Chapter 9.2, Problem 41E

a.

To determine

To find: the partial derivative ∂S∂w(160,70) .

Answer 8

b.

To determine

To find: the partial derivative ∂S∂h(160,70) .

Answer 9

b.

To determine

To find: the partial derivative ∂S∂h(160,70) .

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

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Answer 13

Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.2 - Prob. 41E Ch. 9.3 - Prob. 20E Ch. 9.4 - Prob. 21E Ch. 9.4 - Prob. 29E Ch. 9.5 - Prob. 6E Ch. 9 - Prob. 17E

the partial derivative ∂ S ∂ w ( 160 , 70 ) .

To find: the partial derivative ∂S∂w(160,70) .

To find: the partial derivative ∂S∂h(160,70) .

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Chapter 9 Solutions