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

Chapter 15, Problem 16

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

\(\mathbf{r}(u, v)=\cos ^{3} u \cos v \mathbf{i}+\sin ^{3} u \sin v \mathbf{j}+u \mathbf{k}\)

\(0 \leq u \leq \frac{\pi}{2}, \quad 0 \leq v \leq 2 \pi\)

Text Transcription:

r(u, v) = cos^{3} u cos vi + sin^{3} u sin vj + uk

0 leq u leq pi / 2,     0 leq v leq 2 pi