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

Chapter 12, Problem 65

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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

\(\mathbf{r}(t)=t \mathbf{i}+3 t^{2} \mathbf{j}+\frac{t^{2}}{2} \mathbf{k}\)

Time

t=2

Text Transcription:

 r (t)=t  i +3 t^ 2   j +  t^ 2  / 2   k

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