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 ...

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 1YT
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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 - 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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