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In the following exercises, find the work done by force field $\mathbf{F}$ on an object moving along the indicated path.

$\mathbf{F}(x, y, z)=x \mathbf{i}+y \mathbf{j}-5 z \mathbf{k}$

$C : \mathbf{r}(t)=2 \cos t \mathbf{i}+2 \sin t \mathbf{j}+t \mathbf{k}, 0 \leq t \leq 2 \pi$

$-10 \pi^{2}$ work unit

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Johns Hopkins University

Numerade Educator

Harvey Mudd College

Utica College

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