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Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. Then, use the second-derivative test to determine, if possible, the nature of f(x,y) at each of these points. If the second-derivative test is inconclusive, so state. f(x,y) = -7x² + 3xy- 18y² - 9x +9y-2 ...

Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. Then, use the second-derivative test to determine, if possible, the nature of f(x,y) at each of these points. If the second-derivative test is inconclusive, so state. f(x,y) = -7x² + 3xy- 18y² - 9x +9y-2 ...

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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K Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. Then, use the second-derivative test to determine, if possible, the nature of f(x,y) at each of these points. If the second-derivative test is inconclusive, so state. f(x,y) = -7x² + 3xy - 1 - 18y² - 9x+9y-2
Transcribed Image Text:K Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. Then, use the second-derivative test to determine, if possible, the nature of f(x,y) at each of these points. If the second-derivative test is inconclusive, so state. f(x,y) = -7x² + 3xy - 1 - 18y² - 9x+9y-2
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