Matching functions with graphs Match functions a-f with

Chapter 13, Problem 49E

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QUESTION:

Matching functions with graphs Match functions a-f with the appropriate graphs A-F

a. \(\mathbf{r}(t)=\langle t,-t, t\rangle\)

b. \(\mathbf{r}(t)=\left\langle t^{2}, t, t\right\rangle\)

c. \(\mathbf{r}(t)=\langle 4 \cos t, 4 \sin t, 2\rangle\)

d. \(\mathbf{r}(t)=\langle 2 t, \sin t, \cos t\rangle\)

e. \(\mathbf{r}(t)=\langle\sin t, \cos t, \sin 2 t\rangle\)

f. \(r(t)=\langle\sin t, 2 t, \cos t\rangle\)

Questions & Answers

QUESTION:

Matching functions with graphs Match functions a-f with the appropriate graphs A-F

a. \(\mathbf{r}(t)=\langle t,-t, t\rangle\)

b. \(\mathbf{r}(t)=\left\langle t^{2}, t, t\right\rangle\)

c. \(\mathbf{r}(t)=\langle 4 \cos t, 4 \sin t, 2\rangle\)

d. \(\mathbf{r}(t)=\langle 2 t, \sin t, \cos t\rangle\)

e. \(\mathbf{r}(t)=\langle\sin t, \cos t, \sin 2 t\rangle\)

f. \(r(t)=\langle\sin t, 2 t, \cos t\rangle\)

ANSWER:

Solution 49EStep 1 of 8:In this problem we need to match functions a-f with the appropriate graphs A-F. By using Computer Algebra System we can verify this.

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