Q1. Obtain the Taylors linear approximation to the function f (x, y) = 2 x2 – x y + y2 +3x - 4 y + 1, about the point (-1, 1). Find the maximum error in the region |x + 1| < 0.1, ly - 1| < 0.1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Q1. Obtain the Taylors linear approximation to the function f (x, y) = 2 x2 – x y + y2 +3x -
4 y + 1, about the point (-1, 1). Find the maximum error in the region |x + 1| < 0.1, ly - 1| <
0.1.
Transcribed Image Text:Q1. Obtain the Taylors linear approximation to the function f (x, y) = 2 x2 – x y + y2 +3x - 4 y + 1, about the point (-1, 1). Find the maximum error in the region |x + 1| < 0.1, ly - 1| < 0.1.
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