Find ther critical point ✗* 2 * of f(x) = 5x1² + 2 x1 x2 - 4x1 x3 +7x2²+5x3 ²+5x1+5x2 +5 x3 − 2 subject to g(x) = -4x14x2+6x3 = 4. 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 \ can change!) In both cases, give your answer as an exact fraction or a decimal approximation accurate to at least 3 significant figures. λ = f(x*) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
Question
Find ther critical point ✗*
2
*
of
f(x) = 5x1² + 2 x1 x2 - 4x1 x3 +7x2²+5x3 ²+5x1+5x2 +5 x3 − 2
subject to
g(x) = -4x14x2+6x3
= 4.
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 \ can
change!)
In both cases, give your answer as an exact fraction or a decimal approximation accurate to at least 3
significant figures.
λ =
f(x*) =
Transcribed Image Text:Find ther critical point ✗* 2 * of f(x) = 5x1² + 2 x1 x2 - 4x1 x3 +7x2²+5x3 ²+5x1+5x2 +5 x3 − 2 subject to g(x) = -4x14x2+6x3 = 4. 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 \ can change!) In both cases, give your answer as an exact fraction or a decimal approximation accurate to at least 3 significant figures. λ = f(x*) =
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