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