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?
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F017b5c7e-49c0-46c7-a22b-9336d465c7c9%2Ff28ec51b-b1c1-47b4-913e-6496537135e6%2F6pmag75_processed.jpeg&w=3840&q=75)
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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