Find a point on the ellipsoid where the tangent plane is perpendicular to the line with

Chapter 13, Problem 61

(choose chapter or problem)

Find a point on the ellipsoid \(x^{2}+4 y^{2}+z^{2}=9\) where the tangent plane is perpendicular to the line with parametric equations

\(x=2-4 t, y=1+8 t \text {, and } z=3-2 t \text {. }\)

Text Transcription:

x^2+4y^2+z^2=9

x=2-4t,y=1+8tandz=3-2t

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