The function f(x,y)=2x2+y2 has an absolute maximum value and absolute minimum value subject to the constraint x2+4y+4y2 =12.Use Lagrange multipliers to find these values. The absolute maximum and absolute minimum.

The function f(x,y)=2x2+y2 has an absolute maximum value and absolute minimum value subject to the constraint x2+4y+4y2 =12.Use Lagrange multipliers to find these values. The absolute maximum and absolute minimum.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 17EQ

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Question

The function f(x,y)=2x²+y²has an absolute maximum value and absolute minimum value subject to the constraint x²+4y+4y² =12.
Use Lagrange multipliers to find these values.

The absolute maximum and absolute minimum.

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