Find the Equation for the Plane Tangent to the Parametrized

question 37

Short Answer

Find the equation for the plane tangent to the parametrized surface S at the point P.
- $$S \text { is the parabolic cylinder } \mathbf { r } ( x , z ) = x \mathbf { i } + 10 x ^ { 2 } \mathbf { j } + z \mathbf { k } \text {; } P \text { is the point corresponding to } ( x , z ) = ( - 4 , - 4 ) \text {. }$$

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Definitions:

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