Find ther critical point x* of f(x)=8x12-9212 +221 23 +7x2²+223 +3x3²+7±1+7+73 +3 2 subject to g(x)=1+72-5x3 = -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 changel) In both cases, give your answer as an exact fraction or a decimal approximation accurate to at least 3 significant figures. A= 数字 f(x*) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 32E
Question
Find ther critical point x* of
f(x)=8x12-9212 +221 23 +7x2²+223 +3x3²+7±1+7+73 +3
2
subject to
g(x)=1+72-5x3 = -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 changel)
In both cases, give your answer as an exact fraction or a decimal approximation accurate to at least 3 significant figures.
A= 数字
f(x*) =
Transcribed Image Text:Find ther critical point x* of f(x)=8x12-9212 +221 23 +7x2²+223 +3x3²+7±1+7+73 +3 2 subject to g(x)=1+72-5x3 = -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 changel) In both cases, give your answer as an exact fraction or a decimal approximation accurate to at least 3 significant figures. A= 数字 f(x*) =
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