19. Use the method of Lagrange multipliers to find the extreme values of f(x, y, z) = 4x + 2y + z, subject to the constraint x? + y + z² = 1

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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19. Use the method of Lagrange multipliers to find the extreme values of f(x, y, z) = 4x + 2y + z, subject to the
constraint x? + y + z² = 1
Transcribed Image Text:19. Use the method of Lagrange multipliers to find the extreme values of f(x, y, z) = 4x + 2y + z, subject to the constraint x? + y + z² = 1
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