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

Chapter 12, Problem 63

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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

\(\mathbf{r}(t)=4 t \mathbf{i}+3 \cos t \mathbf{j}+3 \sin t \mathbf{k}\)

Time

\(t=\frac{\pi}{2}\)

Text Transcription:

r (t)=4 t  i +3 cos t  j +3 sin t  k

t=  pi / 2

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