Answered: 5. [Local Optimization] Let f = f(x,y)… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.3: Algebraic Expressions

Problem 20E

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5. [Local Optimization]
Let f = f(x, y) = x³ + x²y — y² – 4y.
(a) Find and classify all critical points of f on all of R².
(b) Find and classify all critical points of f on the line y - z.
(c) Find and classify all critical points of f on the curve y = 2².
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