Lecture7bc - Instructor: Quanlei Fang Dept. of Math,...

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Unformatted text preview: Instructor: Quanlei Fang Dept. of Math, University at Buffalo, Spring 2009 Welcome to Math 122 Lecture 7 Survey of Calculus and its Applications I1 Finding Relative Maxima and Minima Last time Last time Lagrange Multipliers and Lagrange Multipliers and Constrained Optimization Constrained Optimization 7.4 Background and Steps for Lagrange Multipliers Using Lagrange Multipliers Lagrange Multipliers in Application Optimization Optimization In this section, we will optimize an objective equation f ( x , y ) given a constraint equation g ( x , y ). However, the methods of chapter 2 will not work, so we must do something different. Therefore we must use the following equation and theorem. ( ) ( ) ( ) y x g y x f y x F , , , , + = Steps For Lagrange Multipliers Steps For Lagrange Multipliers L-1 L-2 L-3 Using Lagrange Multipliers Using Lagrange Multipliers EXAMPLE EXAMPLE SOLUTION SOLUTION Maximize the function , subject to the constraint 2 2 y x + We have and F x , y ,...
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This note was uploaded on 02/20/2009 for the course MTH 122 taught by Professor Buettgens during the Spring '08 term at SUNY Buffalo.

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Lecture7bc - Instructor: Quanlei Fang Dept. of Math,...

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