a) Find the equation for the tangent plane to the surface z = 4xy - 2x² - y²¹ at the point P = (2, 1,-1). b) At which points of the surface is the tangent plane horizontal?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a) Find the equation for the tangent plane to the surface
z = 4xy - 2x² - y²
at the point P = (2, 1, −1).
b) At which points of the surface is the tangent plane horizontal?
Transcribed Image Text:a) Find the equation for the tangent plane to the surface z = 4xy - 2x² - y² at the point P = (2, 1, −1). b) At which points of the surface is the tangent plane horizontal?
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