Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive. Minimize f(x, y, z) = x² + y² + z2 Constraint: x + y + z – 21 = 0 f( %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
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Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.
Minimize f(x, y, z) = x² + y² + z²
Constraint: x + y + z – 21 = 0
%3D
eRook
Transcribed Image Text:Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive. Minimize f(x, y, z) = x² + y² + z² Constraint: x + y + z – 21 = 0 %3D eRook
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