7.a.Let f(x,y)=3x²y-2y²-3x²-8y+2i. Find the stationary points of fii. For each stationary point P found in (i), determine whether f has a local maximum, alocal minimum, or a saddle point at P.b. Determine the maximum value of f(x, y, z)=xyz subject to the constraintx+9y² +42²³=36

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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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Let f(x,y)=3x³y-2y²-3x²-8y+2 i. Find the stationary points of f ii. For each stationary point P found in (i), determine whether f has a local maximum, a local minimum, or a saddle point at P. b. Determine the maximum value of f(x, y, z)= xyz subject to the constraint x² +9y² +42²=36