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Curves in space Graph the curves described by
Chapter 13, Problem 27E(choose chapter or problem)
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.
\(\mathbf{r}(t)=e^{-t} \sin t \mathbf{i}+e^{-t} \cos t \mathbf{j}+\mathbf{k}, \text { for } 0 \leq t<\infty\)
Questions & Answers
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,