Think About It In Exercises 1720, determine how the graph of the surface differs from
Chapter 15, Problem 18(choose chapter or problem)
In Exercises 17 - 20, determine how the graph of the surface s(u, v) differs from the graph of \(r(u, v)= u \cos v \mathrm{i}+u \sin v \mathrm{j}+u^{2} \mathrm{k}\) (see figure), where \(0 \leq u \leq 2\) and \(0 \leq v \leq 2 \pi\). (It is not necessary to graphs.)
\(\mathbf{s}(u, v)=u \cos v \mathbf{i}+u^{2} \mathbf{j}+u \sin v \mathbf{k}\)
\(0 \leq u \leq 2, \quad 0 \leq v \leq 2 \pi\)
Text Transcription:
r(u, v) = u cos vi + u sin vj + u^{2}k
0 leq u leq 2
0 leq v leq 2 pi
s(u, v) = u cos vi + u^{2}j + u sin vk
0 leq u leq 2, 0 leq v leq 2 pi
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