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
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Chapter2: Second-order Linear Odes
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1.
(a)
(b)
(c)
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 = 22³.
z+3
s) Find all other points on the graph of f whose tangent plane contains the line l.
Transcribed Image Text:1. (a) (b) (c) 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 = 22³. z+3 s) Find all other points on the graph of f whose tangent plane contains the line l.
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