The sphere where and

Chapter 15, Problem 42

(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 sphere \(\mathbf{r}(u, v)=a \sin u \cos v \mathbf{i}+a \sin u \sin v \mathbf{j}+a \cos u \mathbf{k}\), where \(0 \leq u \leq \pi\) and \(0 \leq v \leq 2 \pi\)

Text Transcription:

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

0 leq u leq pi

0 leq v leq 2 pi

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