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

Chapter 15, Problem 38

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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.

\(\mathbf{r}(u, v)=2 u \cosh v \mathbf{i}+2 u \sinh v \mathbf{j}+\frac{1}{2} u^{2} \mathbf{k}, \quad(-4,0,2)\)

Text Transcription:

r(u, v) = 2u cosh vi + 2 u sinh vj + 1 / 2 u^{2}k,     (-4, 0, 2)

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