For f(z,y)=z²+²-42-10y +100 determine local extreme points if exists.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 28E
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For f(z,y)==²+²-4-10y +100 determine local extreme points if exists.
if (a, b) is a local extreme point for f(z,y), then it must be true that (f. (a, b), fy(a,b)) is:
0,0
Answer format: a, bor (a,b)
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If we set fz (z, y) = 0, then zis:
2
Answer format: Enter the value
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if we set fy(x,y) = 0, then yis:
5
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Transcribed Image Text:For f(z,y)==²+²-4-10y +100 determine local extreme points if exists. if (a, b) is a local extreme point for f(z,y), then it must be true that (f. (a, b), fy(a,b)) is: 0,0 Answer format: a, bor (a,b) Congratulations! your answer is correct (and saved). Check Answer/Save Step-By-Step Example If we set fz (z, y) = 0, then zis: 2 Answer format: Enter the value Congratulations! your answer is correct (and saved). Check Answer/Save Step-By-Step Example if we set fy(x,y) = 0, then yis: 5 Live Help Live Help
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What is the value of (z,y) based on the values you got by setting fa(z,y) = 0 and fy(,1) = 0:
(2,5)
Answer format: Enter the value
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The point you found is it a local max or min
Live Help
It's a local maximum
It's a local minimum
DIt's a saddle point; neither a max nor min
It cannot be determined whether it is an extreme point
Transcribed Image Text:Check Answer/Save Step-By-Step Example What is the value of (z,y) based on the values you got by setting fa(z,y) = 0 and fy(,1) = 0: (2,5) Answer format: Enter the value Sorry, your answer is wrong (but saved). Better luck next time! Check Answer/Save Step-By-Step Example Live Help The point you found is it a local max or min Live Help It's a local maximum It's a local minimum DIt's a saddle point; neither a max nor min It cannot be determined whether it is an extreme point
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