Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y) = 2x²y near the origin. The quadratic approximation of f(x,y) is 2x + xy

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 39E
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14.9, 1

Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y) = 2x²y near the origin.
The quadratic approximation of f(x,y) is 2x + xy
Transcribed Image Text:Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y) = 2x²y near the origin. The quadratic approximation of f(x,y) is 2x + xy
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