Answer: In Exercises 17 and 18, use a computer algebra system to graph the space curve

Chapter 12, Problem 17

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In Exercises 17 and 18, use a computer algebra system to graph the space curve. Then find T(t) and find a set of parametric equations for the line tangent to the space curve at point P. Graph the tangent line.

\(\mathbf{r}(t)=\left\langle t, t^{2}, 2 t^{3} / 3\right\rangle\) P(3,9,18)

Text Transcription:

r(t)=  langle t, t^2, 2 t^3 / 3  rangle,  quad P(3,9,18)

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