Find a point on the surface z = 8 3x2 2y2 at whichthe tangent plane is perpendicular to

Chapter 13, Problem 15

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Find a point on the surface \(z=8-3 x^{2}-2 y^{2}\) at which the tangent plane is perpendicular to the line \(x=2-3 t, y=7+8 t, z=5-t\) .

Equation Transcription:

Text Transcription:

z=8-3x^2 -2y^2

x=2-3t, y=7+8t, z=5-t

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