Find the extremum of​ f(x,y) subject to the given​ constraint, and state whether it is a maximum or a minimum. x^2+y^2+z^2;2x+y-z=2 I am trying to determine if minimum or maximum and the (x,y,z) coordinates

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 33E
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Find the extremum of​ f(x,y) subject to the given​ constraint, and state whether it is a maximum or a minimum. x^2+y^2+z^2;2x+y-z=2 I am trying to determine if minimum or maximum and the (x,y,z) coordinates. 

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