Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Find ther critical point x* of
subject to
f(x) = x1
2
2 − 5x1 x2 − 8x1 x3 + 2x2² − 4xq x3 +6x3²
g(x) = -7x₁ - 4x2 +5x3 = 5.
+2x2 - 6x3
5
Specify below the value of the Lagrange multiplier, A, and the value of the function f(x*). (Make sure you use g(x) as
specified above: if you divide through by constants, the resulting value of λ can change!)
In both cases, give your answer as an exact fraction or a decimal approximation accurate to at least 3 significant figures.
入= 数字
f(x*) = *
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Transcribed Image Text:Find ther critical point x* of subject to f(x) = x1 2 2 − 5x1 x2 − 8x1 x3 + 2x2² − 4xq x3 +6x3² g(x) = -7x₁ - 4x2 +5x3 = 5. +2x2 - 6x3 5 Specify below the value of the Lagrange multiplier, A, and the value of the function f(x*). (Make sure you use g(x) as specified above: if you divide through by constants, the resulting value of λ can change!) In both cases, give your answer as an exact fraction or a decimal approximation accurate to at least 3 significant figures. 入= 数字 f(x*) = *
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