Find a point on the hyperboloid x2 + 4y2 – z2 = 1 where the tangent plane is parallel to the plane x + 4y – z = 0. (х, у, 2) 3D (smaller x-value) (х, у, 2) %3D (larger x-value)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 1E
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Find a point on the hyperboloid x2 + 4y2 – z2 = 1 where the tangent plane is parallel to the plane x + 4y – z = 0.
(х, у, 2) %3D
(smaller x-value)
(х, у, 2) 3D
(larger x-value)
Transcribed Image Text:Find a point on the hyperboloid x2 + 4y2 – z2 = 1 where the tangent plane is parallel to the plane x + 4y – z = 0. (х, у, 2) %3D (smaller x-value) (х, у, 2) 3D (larger x-value)
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