Representing a Cone Parametrically Show that thecone in Example 3 can be represented
Chapter 15, Problem 49(choose chapter or problem)
Show that the cone in Example 3 can be represented parametrically by \(\mathbf{r}(u, v)=u \cos v \mathbf{i}+u \sin v \mathbf{j}+u \mathbf{k}\), where \(0 \leq u\) and \(0 \leq v \leq 2 \pi\).
Text Transcription:
r(u, v) = u cos vi+u sin vj + uk
0 leq u
0 leq v leq 2 pi
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