The part of the paraboloid where and
Chapter 15, Problem 40(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 part of the paraboloid \(\mathbf{r}(u, v)=2 u \cos v \mathbf{i}+2 u \sin v \mathbf{j}+ u^{2} \mathbf{k}\), where \(0 \leq u \leq 2\) and \(0 \leq v \leq 2 \pi\)
Text Transcription:
r(u, v) = 2u cos vi + 2u sin vj + u^{2}k
0 leq u leq 2
0 leq v leq 2 pi
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