The surface of revolution where and

Chapter 15, Problem 46

(choose chapter or problem)

In Exercises 39 - 46, find the area of the surface over the given region. Use a computer algebra system to verify your results.

The surface of revolution \(\mathbf{r}(u, v)=\sin u \cos v \mathbf{i}+u \mathbf{j}+ \sin u \sin v \mathbf{k}\), where \(0 \leq u \leq \pi\) and \(0 \leq v \leq 2 \pi\)

Text Transcription:

r(u, v) = sin u cos vi + uj + sin u sin vk

0 leq u leq pi

0 leq v leq 2 pi

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