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Solution: Curves in space Graph the curves described by the
Chapter 13, Problem 26E(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.
\(\mathbf{r}(t)=4 \sin t \mathbf{i}+4 \cos t \mathbf{j}+e^{-t} \mathbf{k} \text {, for } 0 \leq t<\infty\)
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.
\(\mathbf{r}(t)=4 \sin t \mathbf{i}+4 \cos t \mathbf{j}+e^{-t} \mathbf{k} \text {, for } 0 \leq t<\infty\)
ANSWER:Solution 26E
Step 1 of 2 :
we given
r(t) = 4 sin t i + 4 cos t j + e−tk, for 0 ≤ t <∞
Here x(t) = 4 sin t , y(t) = 4 cos t , and z(t) = e−t