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3. Classify all critical points of f(x, y) = 2x² + 3y² - x² - 6y + 13

3. Classify all critical points of f(x, y) = 2x² + 3y² - x² - 6y + 13

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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2. Show that far + fyy=0 where f(x, y) = e cos y + e³ cos x 3. Classify all critical points of f(x, y) = 2x¹ + 3y² - x² - 6y + 13 2x + 2y 1+ 4y + 2y² 4. Evaluate J₁ R dA where R= {(x, y) |0 ≤ x ≤ 2, 1 ≤ y ≤ 2}.
Transcribed Image Text:2. Show that far + fyy=0 where f(x, y) = e cos y + e³ cos x 3. Classify all critical points of f(x, y) = 2x¹ + 3y² - x² - 6y + 13 2x + 2y 1+ 4y + 2y² 4. Evaluate J₁ R dA where R= {(x, y) |0 ≤ x ≤ 2, 1 ≤ y ≤ 2}.
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