Consider the function f(x, y) = x² + y² — xy. >) Find the equation of T(1,0), the tangent plane at the point x = 1, y = 1. Show that the plane T(1,0) contains the line l: 2 - x = y = 2+³. s) Find all other points on the graph of f whose tangent plane contains the line l.
Consider the function f(x, y) = x² + y² — xy. >) Find the equation of T(1,0), the tangent plane at the point x = 1, y = 1. Show that the plane T(1,0) contains the line l: 2 - x = y = 2+³. s) Find all other points on the graph of f whose tangent plane contains the line l.
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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