Suppose f(x, y) = xy(1 – 7x − 3y). ƒ(x, y) has 4 critical points. List them in increasing lexographic order. By that we mean that (x, y) comes before (z, w) if x < z or if x = z and y < w. Also, determine whether the critical point a local maximum, a local minimim, or a saddle point. First point .. Classification: determined). Second point 0.0. Classification: determined). 10. Third point Classification: determined). Fourth point .. Classification: determined). (local minimum, local maximum, saddle point, cannot be (local minimum, local maximum, saddle point, cannot be ✓(local minimum, local maximum, saddle point, cannot be ✓(local minimum, local maximum, saddle point, cannot be

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.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 30E: Let f(x,y)=y22x2y+4x3+20x2. The only critical points are (2,4), (0,0), and (5,25). Which of the...
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Suppose f(x, y) = xy(1 – 7x − 3y).
f(x, y) has 4 critical points. List them in increasing lexographic order. By that we mean that (x, y) comes
before (z, w) if x < z or if x = z and y < w. Also, determine whether the critical point a local maximum, a
local minimim, or a saddle point.
First point ..
Classification:
determined).
Second point ..
Classification:
determined).
Third point ..
Classification:
determined).
Fourth point..
Classification:
determined).
(local minimum, local maximum, saddle point, cannot be
(local minimum, local maximum, saddle point, cannot be
(local minimum, local maximum, saddle point, cannot be
(local minimum, local maximum, saddle point, cannot be
Transcribed Image Text:Suppose f(x, y) = xy(1 – 7x − 3y). f(x, y) has 4 critical points. List them in increasing lexographic order. By that we mean that (x, y) comes before (z, w) if x < z or if x = z and y < w. Also, determine whether the critical point a local maximum, a local minimim, or a saddle point. First point .. Classification: determined). Second point .. Classification: determined). Third point .. Classification: determined). Fourth point.. Classification: determined). (local minimum, local maximum, saddle point, cannot be (local minimum, local maximum, saddle point, cannot be (local minimum, local maximum, saddle point, cannot be (local minimum, local maximum, saddle point, cannot be
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