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# An object moves along the curve $C$ shown in the figure from $(1, 2)$ to $(9, 8)$. The lengths of the vectors in the force field $\textbf{F}$ are measured in newtons by the scales on the axes. Estimate the work done by $\textbf{F}$ on the object.

## $$22 \mathrm{J}$$

Vector Calculus

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So this problem you have to look at the picture on the textbook. Basically his ideas F d r is approximately the summation f that del tar and from you textbook you should be able to see the Zoff picture ofthe F different positions. And if you do, you look at their top throat out ish. You see that we should have something like this should be easy. There are times the projection ofthe fr that So we should have something like Oh, for plus four plus the four plus four plus one plus Sorry, this one's should be plus two plus two plus two. So that was a bottom a za bottom part of the sea. The Force project on the line has the last two and they got ours to two times two is four and on the dry side, observe off the line The first project to the curve a cz the lens one And, uh, don't harsh. She'LL still be too. So we have plus two plus two plus two. So so he has should be taught it to you

Vector Calculus

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