10. Consider the function f(x, y, z) = 6x² + 3y² + 2z². A. What is the minimum value of f if we require x, y, and z to add up to 3? B. What is the value of the lagrange multiplier X? C. Approximate the minimum value of f if we require x, y, and z to add up to 3.1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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10.
Consider the function f(x, y, z) = 6x² + 3y² + 2z².
A. What is the minimum value of f if we require x, y, and z to add up to 3?
B. What is the value of the lagrange multiplier X?
C. Approximate the minimum value of f if we require x, y, and z to add up to 3.1.
Transcribed Image Text:10. Consider the function f(x, y, z) = 6x² + 3y² + 2z². A. What is the minimum value of f if we require x, y, and z to add up to 3? B. What is the value of the lagrange multiplier X? C. Approximate the minimum value of f if we require x, y, and z to add up to 3.1.
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