Finding a Parabolic Fit Find the best second order approximationto f(x,y) at (1, -1). 2 f(x, y) = (3+2y³ +3x³) ² ||

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 32EQ
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Finding a Parabolic Fit
=
Find the best second order approximationto f(x, y) at x
(1,−1).
f(x, y) = (3+2y³ +32³) ²
(1,-1,16)
A. z = 9(1+3y + 2x)² + 16
B. z = 25 – 84 y − 12 y² — 126 x + 108 xy + 153 x²
C. z = 52-60 y − 15 y² – 180 x + 54 xy + 153 x²
16-6y+3y² - 6x +18 xy + 15 x²
D. z =
E. None of the above.
Transcribed Image Text:Finding a Parabolic Fit = Find the best second order approximationto f(x, y) at x (1,−1). f(x, y) = (3+2y³ +32³) ² (1,-1,16) A. z = 9(1+3y + 2x)² + 16 B. z = 25 – 84 y − 12 y² — 126 x + 108 xy + 153 x² C. z = 52-60 y − 15 y² – 180 x + 54 xy + 153 x² 16-6y+3y² - 6x +18 xy + 15 x² D. z = E. None of the above.
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