Find the minimum value of f(x, y, z) = 3x² + y² + 3z² when the domain is constrained to the planes -4x+y+3z = -4 and -2x - y + 5z = −3 You may round to the nearest hundredth if necessary.
Find the minimum value of f(x, y, z) = 3x² + y² + 3z² when the domain is constrained to the planes -4x+y+3z = -4 and -2x - y + 5z = −3 You may round to the nearest hundredth if necessary.
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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Transcribed Image Text:Find the minimum value of f(x, y, z) = 3x² + y² + 3z²
when the domain is constrained to the planes
-4x+y+3z = -4 and -2x - y + 5z = −3
You may round to the nearest hundredth if necessary.
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