Work from graphs Determine whether ?CF·dr along the paths

Chapter 13, Problem 49E

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QUESTION:

Determine whether \(\int_{C} \mathbf{F} \cdot d \mathbf{r}\) along the paths \(C_{1}\) and \(C_{2}\) shown in the following vector fields is positive or negative. Explain your reasoning.

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QUESTION:

Determine whether \(\int_{C} \mathbf{F} \cdot d \mathbf{r}\) along the paths \(C_{1}\) and \(C_{2}\) shown in the following vector fields is positive or negative. Explain your reasoning.

ANSWER:

Solution 49E

Step 1:

Given that

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