Find the equation of the tangent line to the common curve of the two surfaces with equations z = x² - y² - y² – 2xy and z = -x² - y² + 2xy at the point (2, 1, −1).

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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Find the equation of the tangent line
to the common curve of the two
surfaces with equations
z = x² - y² - 2xy and
z = -x² - y² + 2xy at the point
(2, 1, −1).
Transcribed Image Text:Find the equation of the tangent line to the common curve of the two surfaces with equations z = x² - y² - 2xy and z = -x² - y² + 2xy at the point (2, 1, −1).
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