(a) Evaluate ∫ C F . d r considering C is the boundary of the rectangle.

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Answer 1

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Chapter 18.2, Problem 24E

To determine

(a)

Evaluate $\int_{C} F . d r$ considering $C$ is the boundary of the rectangle.

To determine

b)

Evaluate $\int_{C} F . d r$ using stoke’s theorem when $C$ is the boundary of the wedge shaped box.

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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 18.2, Problem 24E

To determine

(a)

Evaluate $\int_{C} F . d r$ considering $C$ is the boundary of the rectangle.

To determine

b)

Evaluate $\int_{C} F . d r$ using stoke’s theorem when $C$ is the boundary of the wedge shaped box.

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Answer 3

Question

Chapter 18.2, Problem 24E

To determine

(a)

Evaluate $\int_{C} F . d r$ considering $C$ is the boundary of the rectangle.

To determine

b)

Evaluate $\int_{C} F . d r$ using stoke’s theorem when $C$ is the boundary of the wedge shaped box.

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 18.2, Problem 24E

To determine

(a)

Evaluate $\int_{C} F . d r$ considering $C$ is the boundary of the rectangle.

To determine

b)

Evaluate $\int_{C} F . d r$ using stoke’s theorem when $C$ is the boundary of the wedge shaped box.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 18.2, Problem 24E

To determine

(a)

Evaluate $\int_{C} F . d r$ considering $C$ is the boundary of the rectangle.

To determine

b)

Evaluate $\int_{C} F . d r$ using stoke’s theorem when $C$ is the boundary of the wedge shaped box.

Answer 6

Chapter 18.2, Problem 24E

To determine

(a)

Evaluate $\int_{C} F . d r$ considering $C$ is the boundary of the rectangle.

Answer 7

Chapter 18.2, Problem 24E

To determine

(a)

Evaluate $\int_{C} F . d r$ considering $C$ is the boundary of the rectangle.

Answer 8

To determine

b)

Evaluate $\int_{C} F . d r$ using stoke’s theorem when $C$ is the boundary of the wedge shaped box.

Answer 9

To determine

b)

Evaluate $\int_{C} F . d r$ using stoke’s theorem when $C$ is the boundary of the wedge shaped box.

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 18.1 - Prob. 1PQ Ch. 18.1 - Prob. 2PQ Ch. 18.1 - Prob. 3PQ Ch. 18.1 - Prob. 4PQ Ch. 18.1 - Prob. 5PQ Ch. 18.1 - Prob. 1E Ch. 18.1 - Prob. 2E Ch. 18.1 - Prob. 3E Ch. 18.1 - Prob. 4E Ch. 18.1 - Prob. 5E

(a) Evaluate ∫ C F . d r considering C is the boundary of the rectangle.

Solution Summary: The author evaluates C F. d r when C is the boundary of the rectangle with vertices A, B, C and D.

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(a)

Evaluate $\int_{C} F . d r$ considering $C$ is the boundary of the rectangle.

b)

Evaluate $\int_{C} F . d r$ using stoke’s theorem when $C$ is the boundary of the wedge shaped box.

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Chapter 18 Solutions

(a) Evaluate ∫ C F . d r considering C is the boundary of the rectangle.

Solution Summary: The author evaluates C F. d r when C is the boundary of the rectangle with vertices A, B, C and D.

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Videos