Now solved: In Exercises 1116, find the unit tangent vector and find a set of parametric

Chapter 12, Problem 16

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In Exercises 11–16, find the unit tangent vector T(t) and find a set of parametric equations for the line tangent to the space curve at point P.

\(\mathbf{r}(t)=\left\langle 2 \sin t, 2 \cos t, 4 \sin ^{2} t\right\rangle, \quad P(1, \sqrt{3}, 1)\)

Text Transcription:

r(t)=   langle 2  sin t, 2  cos t, 4  sin ^2 t   rangle

P(1,  sqrt3, 1)

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