1516 Find the vector r(t0); then sketch the graph of r(t) in3-space and draw the tangent

Chapter 12, Problem 15

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Find the vector \(\mathbf{r}^{\prime}\left(t_{0}\right)\); then sketch the graph of \(\mathbf{r}(t)\) in 3-space and draw the tangent vector \(\mathbf{r}^{\prime}\left(t_{0}\right)\).

                                       \(\mathbf{r}(t)=2 \sin t \mathbf{i}+2 \cos t \mathbf{k} ; t_{0}=\pi / 2\)

Equation Transcription:

𝐫’

𝐫

𝐫’

𝐫𝐢𝐤;

Text Transcription:

r’(t_0)

r(t)

r’(t_0)

r(t)=2 sin ti+2 cos tk;t_0=pi/2

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