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Let f(x,y) = 4(x + 1)²(y - 1) - y² - 8x² - 16x + 2y - 18

Let f(x,y) = 4(x + 1)²(y - 1) - y² - 8x² - 16x + 2y - 18

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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Let f(x,y) = 4(x + 1)2(y - 1) - y² - 8x2-16x + 2y - 18 (i) Find the sum of all x- coordinates of the critical points of f(x,y). (ii) Find the sum of all y- coordinates of the critical points of f(x,y).
Transcribed Image Text:Let f(x,y) = 4(x + 1)2(y - 1) - y² - 8x2-16x + 2y - 18 (i) Find the sum of all x- coordinates of the critical points of f(x,y). (ii) Find the sum of all y- coordinates of the critical points of f(x,y).
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