Consider the function f(x, y) = x²y + y3³ - 48y. f has a maximum f has a minimum く at (-4√3,0). at (0, 4). f has some other critical point at (0, 0). f has some other critical point at (4√3,0). f has a maximum at (0,-4).

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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Consider the function f(x, y) = x²y+y³ - 48y.
f has
a maximum
at (-4√3,0)
at (0, 4).
f has a minimum
f has
some other critical point at (0,0).
f has
some other critical point at
at (4√3,0).
f has
a maximum
at (0,-4).
Transcribed Image Text:Consider the function f(x, y) = x²y+y³ - 48y. f has a maximum at (-4√3,0) at (0, 4). f has a minimum f has some other critical point at (0,0). f has some other critical point at at (4√3,0). f has a maximum at (0,-4).
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