Think About It In Exercises 1720, determine how the graphof the surface differs from the

Chapter 15, Problem 20

(choose chapter or problem)

Think About It   In Exercises 17-20, determine how the graph of the surface s(u, v) differs from the graph of \(r(u, v)=u \cos v i+u \sin v \mathbf{j}+u^{2} \mathbf{k}\) (see figure), where \(0 \leq u \leq 2\) and \(0 \leq v \leq 2 \pi\). (It is not necessary to graph s.)

\(\mathbf{s}(u, v)=4 u \cos v \mathbf{i}+4 u \sin v \mathbf{j}+u^{2} \mathbf{k}\)

\(0 \leq u \leq 2, \quad 0 \leq v \leq 2 \pi\)

Text Transcription:

r(u,v)=u cos vi + u sin vj + u^2k

0<=u<=2

0<=v<=2 pi

s(u, v)=4u cos v i+4u sin v j+u^2 k

0 <= u <= 2, 0 <= v <= 2 pi