Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y) = 2x e4y The quadratic approximation of f(x,y) is 2x+8xy. The cubic approximation of f(x,y) is 2x + 8xy + 128xy² near the origin.
Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y) = 2x e4y The quadratic approximation of f(x,y) is 2x+8xy. The cubic approximation of f(x,y) is 2x + 8xy + 128xy² near the origin.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
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The answer for my cubic approximation is wrong i dont know why :(
Transcribed Image Text:Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y) = 2x e4y
The quadratic approximation of f(x,y) is 2x+8xy.
The cubic approximation of f(x,y) is 2x + 8xy + 128xy²
near the origin.
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