Consider the function f(x, y) = x²y+y³ — 27y. f has f has a maximum a minimum f has a saddle f has some other critical point f has no critical point ✓at at (-3√3,0). ✓at (0, 3). ✓at (0,0). V at (0, -3). at (3√3,0). ✓at

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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Consider the function f(x, y) = x²y+y³ – 27y.
f has
f has
a maximum
a minimum
f has a saddle
f has some other critical point
f has no critical point
✓at
at (-3√3,0).
at (0,3).
✓at (0,0).
V
at (0, -3).
at (3√3,0).
vat
Transcribed Image Text:Consider the function f(x, y) = x²y+y³ – 27y. f has f has a maximum a minimum f has a saddle f has some other critical point f has no critical point ✓at at (-3√3,0). at (0,3). ✓at (0,0). V at (0, -3). at (3√3,0). vat
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