Curves in space Graph the curves described by

Chapter 13, Problem 27E

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QUESTION:

21-28. Curves in space Graph the curves described by the following functions. Try to anticipate the shape of the curve before using a graphing utility.

\(\mathbf{r}(t)=e^{-t} \sin t \mathbf{i}+e^{-t} \cos t \mathbf{j}+\mathbf{k}, \text { for } 0 \leq t<\infty\)

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QUESTION:

21-28. Curves in space Graph the curves described by the following functions. Try to anticipate the shape of the curve before using a graphing utility.

\(\mathbf{r}(t)=e^{-t} \sin t \mathbf{i}+e^{-t} \cos t \mathbf{j}+\mathbf{k}, \text { for } 0 \leq t<\infty\)

ANSWER:

Solution 27EStep 1 of 1:Given curve is r(t) = et sin t i + et cos tj + k,

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