Solved: Graphing a Parametric Surface In Exercises 1116, use a computer algebra system

Chapter 15, Problem 15

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In Exercises 11 - 16, use a computer algebra system to graph the surface represented by the vector-valued function.

\(\mathbf{r}(u, v)=(u-\sin u) \cos v \mathbf{i}+(1-\cos u) \sin v \mathbf{j}+u \mathbf{k}\)

\(0 \leq u \leq \pi, \quad 0 \leq v \leq 2 \pi\)

Text Transcription:

r(u, v) = (u - sin u) cos vi + (1 - cos u) sin vj + uk

0 leq u leq pi,     0 leq v leq 2 pi

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