Solved: In Exercises 6366, use a computer algebra system to graph the space curve. Then

Chapter 12, Problem 66

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In Exercises 63–66, use a computer algebra system to graph the space curve. Then find T(t), N(t), \(a_{T} \) and \(a_ {N} \) at the given time t. Sketch T(t) and N(t) on the space curve.

Function

\(\mathbf{r}(t)=t^{2} \mathbf{i}+\mathbf{j}+2 t \mathbf{k}\)

Time

t=1

Text Transcription:

 r (t)=t^ 2   i + j +2 t  k

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