Find and classify all critical points of the function f(x,y,z,w) = x^2 + 5/2y^2 + 3x^2 + w^2 + 3xy + 6xz + 5xw + 4yz + 2yw + 5x - 3y + 6w
Find and classify all critical points of the function f(x,y,z,w) = x^2 + 5/2y^2 + 3x^2 + w^2 + 3xy + 6xz + 5xw + 4yz + 2yw + 5x - 3y + 6w
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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Question
Find and classify all critical points of the function
f(x,y,z,w) = x^2 + 5/2y^2 + 3x^2 + w^2 + 3xy + 6xz + 5xw + 4yz + 2yw + 5x - 3y + 6w
Note: that your solutions might not be integers.
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