Find ther critical point x* of f(x) = 4x12 -4x1 x2+7x1 x3 +6x22-3x2 x3 +8x32 -...

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Find ther critical point x* of f(x) = 4x12 -4x1 x2+7x1 x3 +6x22-3x2 x3 +8x32 - 3x1-6x2+5x3+3 subject to g(x) = 3x1+9x22x3 = 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 X can change!) In both cases, give your answer as an exact fraction or a decimal approximation accurate to at least 3 significant figures. Find ther critical point x* of f(x) = 4x12 -4x1 x2+7x1 x3 +6x22-3x2 x3 +8x32 - 3x1-6x2+5x3+3 subject to g(x) = 3x1+9x22x3 = 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 X can change!) In both cases, give your answer as an exact fraction or a decimal approximation accurate to at least 3 significant figures.