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Numerade Educator



Problem 47 Medium Difficulty

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.
a. $\int_{C_{1}} \mathbf{F} \cdot d \mathbf{r}$
b. $\int_{C_{2}} \mathbf{F} \cdot d \mathbf{r}$


a. Negative
b. Positive


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Video Transcript

in the problem. We have something. The force is strong concerned with the lint off Adam at the starting and ending Want that is lend often, Adam at this starting and one, The sign off indeed, in about a off the desk is negative since the vector really want is softer in the tractor and stabbing point. So the sounds No, because it isn't It is that the vector at the Indian Point or Endpoint is psalter then director at this starting point. So with the same reasoning, we conclude that in part B the Baskins that IHS Vetter at the point is long than the victor at the starting point for part B. Therefore, it is the answer to the problem.

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