Given the surface 2x² + y² = 3+z², (a) find the points on the surface where the tangent plane is parallel to the plane x+y=z=7, if any.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Given the surface 2x² + y² = 3+z²,
(a) find the points on the surface where the tangent plane is parallel to the plane x+y=z=7, if any.
Transcribed Image Text:Given the surface 2x² + y² = 3+z², (a) find the points on the surface where the tangent plane is parallel to the plane x+y=z=7, if any.
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