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).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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