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Find three positive numbers whose sum is 84 and whose product is a maximum. Let x be the first number, let y be the second number, and let z be the third number. Construct f(x,y,z) and g(x,y,z), the two functional parts of the Lagrange function, F(x,y,z,λ)=f(x,y,z)-λ.g(x,y,z). f(x,y,z)= g(x,y,z)=

Find three positive numbers whose sum is 84 and whose product is a maximum. Let x be the first number, let y be the second number, and let z be the third number. Construct f(x,y,z) and g(x,y,z), the two functional parts of the Lagrange function, F(x,y,z,λ)=f(x,y,z)-λ.g(x,y,z). f(x,y,z)= g(x,y,z)=

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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Find three positive numbers whose sum is 84 and whose product is a maximum. C Let x be the first number, let y be the second number, and let z be the third number. Construct f(x,y,z) and g(x,y,z), the two functional parts of the Lagrange function, F(x,y,z,λ)=f(x,y,z)-λ.g(x,y,z). f(x,y,z)= g(x,y,z) =
Transcribed Image Text:Find three positive numbers whose sum is 84 and whose product is a maximum. C Let x be the first number, let y be the second number, and let z be the third number. Construct f(x,y,z) and g(x,y,z), the two functional parts of the Lagrange function, F(x,y,z,λ)=f(x,y,z)-λ.g(x,y,z). f(x,y,z)= g(x,y,z) =
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