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Parametric Equations of a Line through a Surface

Consider the surface

and the point on this surface.
A. Starting with the equation , find equations for y and z which combine with this equation to give parametric equations for the normal line through P.

Note: Your answers should be expressions of t; e.g. "3x - 4y"
B. Find an equation for the tangent plane through P.

Please see the attached file for the fully formatted problems.

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