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Using Lagrange Multipliers, find the highest/lowest points on the surface: x^2+y^2+z^2-xz-yz=5, given that f(x,y,z)=z and g(x,y,z)=x^2+y^2+z^2-xz-yz.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 39RE

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Using Lagrange Multipliers, find the highest/lowest points on the surface: x^2+y^2+z^2-xz-yz=5, given that f(x,y,z)=z and g(x,y,z)=x^2+y^2+z^2-xz-yz.

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