Tangent Plane In Exercises 35 38, find an equation of the tangent plane to the surface

Chapter 15, Problem 37

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In Exercises 35 - 38, find an equation of the tangent plane to the surface represented by the vector-valued function at the given point.

\(\mathbf{r}(u, v)=2 u \cos v \mathbf{i}+3 u \sin v \mathbf{j}+u^{2} \mathbf{k}, \quad(0,6,4)\)

Text Transcription:

r(u, v) = 2u cos vi + 3u sin vj +u^{2}k,    (0, 6, 4)