Curves in space Graph the curves described by

Chapter 13, Problem 21E

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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.

\(\mathbf{r}(t)=\cos t \mathbf{i}+\sin t \mathbf{k} \text {, for } 0 \leq t \leq 2 \pi\)

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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.

\(\mathbf{r}(t)=\cos t \mathbf{i}+\sin t \mathbf{k} \text {, for } 0 \leq t \leq 2 \pi\)

ANSWER:

Solution 21E

Step 1:

Given that

r(t) = cos t i + sin t k, for 0 ≤ t ≤ 2π

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