Use Lagrange multipliers to find the maximum and minimum values of f subject to the given constraint. Also, find the points at which these extreme values occur. f(x, y, z) = xyz; x² + y² + z² = 147 The maximum value of f is i The minimum value of f is i The extreme values occur when x = ± i ,y = ± i and z = ± i
Use Lagrange multipliers to find the maximum and minimum values of f subject to the given constraint. Also, find the points at which these extreme values occur. f(x, y, z) = xyz; x² + y² + z² = 147 The maximum value of f is i The minimum value of f is i The extreme values occur when x = ± i ,y = ± i and z = ± i
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 6E
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