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Find the minimum value of f(x,y,z) = x² + y² + z² subject to 2x-8y-4z = - 42. The value of f at the minimum is (Simplify your answer.)

Find the minimum value of f(x,y,z) = x² + y² + z² subject to 2x-8y-4z = - 42. The value of f at the minimum is (Simplify your answer.)

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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K Find the minimum value of f(x,y,z)= x² + y² + z² subject to 2x-8y-4z = - 42. The value of f at the minimum is (Simplify your answer.)
Transcribed Image Text:K Find the minimum value of f(x,y,z)= x² + y² + z² subject to 2x-8y-4z = - 42. The value of f at the minimum is (Simplify your answer.)
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