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Multivariable Calculus

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What Point after Traveling

MVCALC-RNRETJ

What point will we be at if we traveled along the curve:

$$\textbf{r}(t)=3 e^t\,\textbf{i}+\cos e^t\,\textbf{j}+\sin e^t\,\textbf{k}$$

...for a distance of $4$?

A

$(2,\cos 2,\sin 2)$

B

$(1,1,0)$

C

$(3,\cos 3,\sin 3)$

D

$(\sqrt{2},-\sin \sqrt{2},\cos \sqrt{2})$

E

$(2,-1,0)$