Lagrange tells us to: Then, the Lagrange Method has us "extremize" (not a real word) a function of Subject to a constraint: Lagrange Function: L(x, y, z, λ) = by creating a brand new function (we'll call it the In our box problem, the "big F" function is: and the constraint equation is: With the Lagrange Multiplier method, there is NO NEED to solve for the z-variable in terms of the other variables. Instead, we find all of the partial derivatives for our Lagrange Function and set them all equal to zero. Then, we solve the system of equations and get our answer(s). In other words:

Lagrange tells us to: Then, the Lagrange Method has us "extremize" (not a real word) a function of Subject to a constraint: Lagrange Function: L(x, y, z, λ) = by creating a brand new function (we'll call it the In our box problem, the "big F" function is: and the constraint equation is: With the Lagrange Multiplier method, there is NO NEED to solve for the z-variable in terms of the other variables. Instead, we find all of the partial derivatives for our Lagrange Function and set them all equal to zero. Then, we solve the system of equations and get our answer(s). In other words:

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.3: Systems Of Inequalities

Problem 19E

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