The nature of marginal cost from the following options such that daily cost to manufacture trinkets is given by the function C ( x ) = − 0.001 x 2 + 0.3 x + 500 dollars where x means the number of trinkets increases, options are given below: (A) increases (B) decreases (C) increases, then decreases (D) decreases, then increases

Question

(10 points) Let f(x, y, z) = ze²²+y². Let E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z ≤ 3}. Calculate the integral f(x, y, z) dv. E

Answer 1

Question

Chapter 11.2, Problem 23E

(a)

To determine

The nature of marginal cost from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x means the number of trinkets increases, options are given below:

(A) increases

(B) decreases

(C) increases, then decreases

(D) decreases, then increases

(b)

To determine

The nature of average cost from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x (the number of trinkets) increases, options are given below:

(A) increases

(B) decreases

(C) increases, then decreases

(D) decreases, then increases

(c)

To determine

The relation between marginal cost and average cost when x=100 from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x (the number of trinkets) increases.

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(10 points) Let f(x, y, z) = ze²²+y². Let E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z ≤ 3}. Calculate the integral f(x, y, z) dv. E

(12 points) Let E={(x, y, z)|x²+ y² + z² ≤ 4, x, y, z > 0}. (a) (4 points) Describe the region E using spherical coordinates, that is, find p, 0, and such that (x, y, z) (psin cos 0, psin sin 0, p cos) € E. (b) (8 points) Calculate the integral E xyz dV using spherical coordinates.

(10 points) Let f(x, y, z) = ze²²+y². Let E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z < 3}. Calculate the integral y, f(x, y, z) dV.

Answer 2

Question

Chapter 11.2, Problem 23E

(a)

To determine

The nature of marginal cost from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x means the number of trinkets increases, options are given below:

(A) increases

(B) decreases

(C) increases, then decreases

(D) decreases, then increases

(b)

To determine

The nature of average cost from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x (the number of trinkets) increases, options are given below:

(A) increases

(B) decreases

(C) increases, then decreases

(D) decreases, then increases

(c)

To determine

The relation between marginal cost and average cost when x=100 from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x (the number of trinkets) increases.

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Answer 3

Question

Chapter 11.2, Problem 23E

(a)

To determine

The nature of marginal cost from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x means the number of trinkets increases, options are given below:

(A) increases

(B) decreases

(C) increases, then decreases

(D) decreases, then increases

(b)

To determine

The nature of average cost from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x (the number of trinkets) increases, options are given below:

(A) increases

(B) decreases

(C) increases, then decreases

(D) decreases, then increases

(c)

To determine

The relation between marginal cost and average cost when x=100 from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x (the number of trinkets) increases.

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Answer 4

Question

Chapter 11.2, Problem 23E

(a)

To determine

The nature of marginal cost from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x means the number of trinkets increases, options are given below:

(A) increases

(B) decreases

(C) increases, then decreases

(D) decreases, then increases

(b)

To determine

The nature of average cost from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x (the number of trinkets) increases, options are given below:

(A) increases

(B) decreases

(C) increases, then decreases

(D) decreases, then increases

(c)

To determine

The relation between marginal cost and average cost when x=100 from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x (the number of trinkets) increases.

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Answer 5

Chapter 11.2, Problem 23E

(a)

To determine

The nature of marginal cost from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x means the number of trinkets increases, options are given below:

(A) increases

(B) decreases

(C) increases, then decreases

(D) decreases, then increases

(b)

To determine

The nature of average cost from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x (the number of trinkets) increases, options are given below:

(A) increases

(B) decreases

(C) increases, then decreases

(D) decreases, then increases

(c)

To determine

The relation between marginal cost and average cost when x=100 from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x (the number of trinkets) increases.

Answer 6

Chapter 11.2, Problem 23E

(a)

To determine

The nature of marginal cost from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x means the number of trinkets increases, options are given below:

(A) increases

(B) decreases

(C) increases, then decreases

(D) decreases, then increases

Answer 7

Chapter 11.2, Problem 23E

(a)

To determine

The nature of marginal cost from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x means the number of trinkets increases, options are given below:

(A) increases

(B) decreases

(C) increases, then decreases

(D) decreases, then increases

Answer 8

(b)

To determine

The nature of average cost from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x (the number of trinkets) increases, options are given below:

(A) increases

(B) decreases

(C) increases, then decreases

(D) decreases, then increases

Answer 9

(b)

To determine

The nature of average cost from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x (the number of trinkets) increases, options are given below:

(A) increases

(B) decreases

(C) increases, then decreases

(D) decreases, then increases

Answer 10

(c)

To determine

The relation between marginal cost and average cost when x=100 from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x (the number of trinkets) increases.

Answer 11

(c)

To determine

The relation between marginal cost and average cost when x=100 from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x (the number of trinkets) increases.

Answer 12

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Answer 23

Solution Summary: The author explains that the daily cost to manufacture trinkets is given by the function C(x)=-0.001x 2+0.3x+500 where x (the

The relation between marginal cost and average cost when x=100 from the following options such that daily cost to manufacture trinkets is given by the function C(x)=−0.001x2+0.3x+500 dollars where x (the number of trinkets) increases.

Chapter 11 Solutions