Find the maximum and minimum outputs for f(x,y) = x^2y-x+y^2 on the set D= (x,y){ -2(less than or equal to)x(greater or equal to)2}, {-1(less than or equal to)y(greater than or equal to)2 } Solving using langrange multipliers, (y=x^2 is the graph ) Was wondering how to solve it completely & what langrage multipliers help us achieve, (my thinking is the max & min) of the function f without having to do it the other way where you find corner points, boundary points & critical points, thank you :)
Find the maximum and minimum outputs for f(x,y) = x^2y-x+y^2 on the set D= (x,y){ -2(less than or equal to)x(greater or equal to)2}, {-1(less than or equal to)y(greater than or equal to)2 } Solving using langrange multipliers, (y=x^2 is the graph ) Was wondering how to solve it completely & what langrage multipliers help us achieve, (my thinking is the max & min) of the function f without having to do it the other way where you find corner points, boundary points & critical points, thank you :)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the maximum and minimum outputs for f(x,y) = x^2y-x+y^2 on the set D= (x,y){ -2(less than or equal to)x(greater or equal to)2}, {-1(less than or equal to)y(greater than or equal to)2 }
Solving using langrange multipliers, (y=x^2 is the graph )
Was wondering how to solve it completely & what langrage multipliers help us achieve, (my thinking is the max & min) of the function f without having to do it the other way where you find corner points, boundary points & critical points, thank you :)
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