Find the minimum value of f(x,y,z) = 2x²+3y²+2z² When the domain is constrained to the planes -x+5y +22=-2 and -5x+4y-22=-3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Find the minimum value of f(x,y,z) = 2x²+3y²+2z²
When the domain is constrained to the planes
-x+5y +22=-2 and -5x+4y-22=-3
Transcribed Image Text:Find the minimum value of f(x,y,z) = 2x²+3y²+2z² When the domain is constrained to the planes -x+5y +22=-2 and -5x+4y-22=-3
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