The torus where and
Chapter 15, Problem 44(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 torus \(\mathbf{r}(u, v)=(a+b \cos v) \cos u \mathbf{i}+(a+b \cos v) \sin u \mathbf{j}+ b \sin v \mathbf{k}\), where \(a>b, 0 \leq u \leq 2 \pi\), and \(0 \leq v \leq 2 \pi\)
Text Transcription:
r(u, v) = (a + b cos v) cos ui + (a + b cos v) sin uj + b sin vk
a > b, 0 leq u leq 2 pi
0 leq v leq 2 pi
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