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Find and classify all the critical points of f(x,y) = x3+3x2-3x-y3+6y2-9y. Find the maximum and minimum of f on the region x[-1,1], y[-1,1]

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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Find and classify all the critical points of f(x,y) = x³+3x²-3x-y³+6y²-9y. Find the maximum and minimum of f on the region x[-1,1], y[-1,1]

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