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

Chapter 12, Problem 18

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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.

\(\mathbf{r}(t)=3 \cos t \mathbf{i}+4 \sin t \mathbf{j}+\frac{1}{2} t \mathbf{k}\), P(0,4,  \(\pi\) / 4)

Text Transcription:

r(t)=3  cos t i+4  sin t j+ 1/2 t k

pi

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