I feel like I am messing up with the (0,0) point. It doesn’t make sense that 1 would be a relative max and 8 rel min. What am I missing? Thanks! D- fxx!7. Find and classify all critical points of the function f (x, y) = x* + y* – xy.D= 12(0)². 12(0)" - (-1)"=1(눈는) 0=2()'. 12t):-(-1)e- 8 rel min(-놀,t) -12(-는)-12l t) -(+)° = S relminrel maxfy- Ax° -y =04(0)(o10)3- X = 04( 4 x*)-x=04(늘)- 44(수) = 9256 x" - x = 0x(251 x -1) =0fxx (늘,는)= 3256 x =14(-$)=48. Find the maximum and minimum values of f(x, y) = x³y* subject to theconstraint 5x2 + 2y² = 14.

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Find and classify all critical points of the function f (x, y) = x* + y* - xy. 4(0) = 4 (010) D= 12(6)*. 12(0)*-(-

Find and classify all critical points of the function f (x, y) = x* + y* - xy. 4(0) = 4 (010) D= 12(6). 12(0)-(-

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

I feel like I am messing up with the (0,0) point. It doesn’t make sense that 1 would be a relative max and 8 rel min. What am I missing? Thanks!

D- fxx!
7. Find and classify all critical points of the function f (x, y) = x* + y* – xy.
D= 12(0)². 12(0)" - (-1)"=1
(눈는) 0=2()'. 12t):-(-1)e- 8 rel min
(-놀,t) -12(-는)-12l t) -(+)° = S relmin
rel max
fy- Ax° -y =0
4(0)
(o10)
3
- X = 0
4( 4 x*)-x=0
4(늘)- 4
4(수) = 9
256 x" - x = 0
x(251 x -1) =0
fxx (늘,는)= 3
256 x =1
4(-$)=4
8. Find the maximum and minimum values of f(x, y) = x³y* subject to the
constraint 5x2 + 2y² = 14.

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