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What is the local quadratic approximation of the function f(x, y) near the point A:

What is the local quadratic approximation of the function f(x, y) near the point A:

Advanced Engineering Mathematics
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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3 Taylor expansions What is the local quadratic approximation of the function f(x, y) near the point A: 1. f(x,y) = 2³2r² + 3xy²-y near A(0,0). 2. f(x, y) = x³2x² + 3ry2-y near A(1,-1) 3. f(x, y) = exp(1 + x² - y²) near A(0,0) 4. f(x, y) = exp(1 + x² - y²) near A(1, 1)
Transcribed Image Text:3 Taylor expansions What is the local quadratic approximation of the function f(x, y) near the point A: 1. f(x,y) = 2³2r² + 3xy²-y near A(0,0). 2. f(x, y) = x³2x² + 3ry2-y near A(1,-1) 3. f(x, y) = exp(1 + x² - y²) near A(0,0) 4. f(x, y) = exp(1 + x² - y²) near A(1, 1)
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