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

Given lim x-4 f (x) = 1,limx-49 (x) = 10, and lim→-4 h (x) = -7 use the limit properties to find lim→-4 1 [2h (x) — h(x) + 7 f(x)] : - h(x)+7f(x) 3 O DNE

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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Given lim x-4 f (x) = 1,limx-49 (x) = 10, and lim→-4 h (x) = -7 use the limit properties to find lim→-4 1 [2h (x) — h(x) + 7 f(x)] : - h(x)+7f(x) 3 O DNE

17. Suppose we know that the graph below is the graph of a solution to dy/dt = f(t). (a) How much of the slope field can you sketch from this information? [Hint: Note that the differential equation depends only on t.] (b) What can you say about the solu- tion with y(0) = 2? (For example, can you sketch the graph of this so- lution?) y(0) = 1 y AN

(b) Find the (instantaneous) rate of change of y at x = 5. In the previous part, we found the average rate of change for several intervals of decreasing size starting at x = 5. The instantaneous rate of change of fat x = 5 is the limit of the average rate of change over the interval [x, x + h] as h approaches 0. This is given by the derivative in the following limit. lim h→0 - f(x + h) − f(x) h The first step to find this limit is to compute f(x + h). Recall that this means replacing the input variable x with the expression x + h in the rule defining f. f(x + h) = (x + h)² - 5(x+ h) = 2xh+h2_ x² + 2xh + h² 5✔ - 5 )x - 5h Step 4 - The second step for finding the derivative of fat x is to find the difference f(x + h) − f(x). - f(x + h) f(x) = = (x² x² + 2xh + h² - ])- = 2x + h² - 5h ])x-5h) - (x² - 5x) = ]) (2x + h - 5) Macbook Pro

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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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