Area In Exercises 39 46, find the area of the surface over thegiven region. Use a
Chapter 15, Problem 40(choose chapter or problem)
Area 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^2k
0<=u<=2
0<=v<=2 pi
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