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Find ther critical point x* of subject to 2 2 2 f(x) = 7x₁² +7x₁ x2 + 4x1 x3 + x₂² -6x2 x3 + 3x31 - 5x19x2 + 3x3 9 g(x) = 4x1 + 2x₂ - x3 = -2. Specify below the value of the Lagrange multiplier, X, 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 A 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*) = 7

Find ther critical point x* of subject to 2 2 2 f(x) = 7x₁² +7x₁ x2 + 4x1 x3 + x₂² -6x2 x3 + 3x31 - 5x19x2 + 3x3 9 g(x) = 4x1 + 2x₂ - x3 = -2. Specify below the value of the Lagrange multiplier, X, 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 A 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*) = 7

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 ther critical point x* of subject to 2 2 f(x) = 7x₁² +7x1 x2 + 4x1 x3 + x₂² -6x2 x3 + 3x31 ₂2-5x₁-9x2+3x3 −9 g(x) = 4x1 + 2x₂ − x3 = -2. 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 X 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*) = 7
Transcribed Image Text:Find ther critical point x* of subject to 2 2 f(x) = 7x₁² +7x1 x2 + 4x1 x3 + x₂² -6x2 x3 + 3x31 ₂2-5x₁-9x2+3x3 −9 g(x) = 4x1 + 2x₂ − x3 = -2. 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 X 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*) = 7
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