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Find the minimum value of f(x, y, z) = 3x² + 3y² + z² when the domain is constrained to the planes -x+3y+3z = 0 and x+5y – 4z = 1 You may round to the nearest hundredth if necessary.

Find the minimum value of f(x, y, z) = 3x² + 3y² + z² when the domain is constrained to the planes -x+3y+3z = 0 and x+5y – 4z = 1 You may round to the nearest hundredth if necessary.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 35E
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Find the minimum value of f(x, y, z) = 3x² + 3y² + z² when the domain is constrained to the planes -x+3y+3z = 0 and x+5y – 4z = 1 You may round to the nearest hundredth if necessary.
Transcribed Image Text:Find the minimum value of f(x, y, z) = 3x² + 3y² + z² when the domain is constrained to the planes -x+3y+3z = 0 and x+5y – 4z = 1 You may round to the nearest hundredth if necessary.
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