Find a point on the hyperboloid where the tangent plane is parallel to the plane x 4y z

Chapter 13, Problem 62

(choose chapter or problem)

Find a point on the hyperboloid \(x^{2}+4 y^{2}-z^{2}=1\) where the tangent plane is parallel to the plane \(x+4 y-z=0\).

Text Transcription:

x^2+4y^2-z^2=1

x+4y-z=0

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