avissidep
2021-05-27
Answered

Find an equation of the tangent plane to the given surface at the specified point. $z=3{y}^{2}-2{x}^{2}+x,\text{}(2,-1,-3)$

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Aamina Herring

Answered 2021-05-28
Author has **85** answers

Solve tfor the partial derivative of f with respect to x

At the point (2,1) evaluate

At the point (2,-1) evaluate

Frame the equation of the tangent plane

Plug in respective values

Simplify

Jeffrey Jordon

Answered 2021-10-14
Author has **2262** answers

You can use the partial derivatives to find a normal vector to the surface. At the point (2,-1,-3) you have

The equation of the tangent plane is given by

which simplifies to

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