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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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