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The function f(x,y) = 4xy has an absolute maximum value and absolute minimum value subject to the constraint xy = 9. Use Lagrange multipliers to find these values.Find the gradient of f(x,y) = 4xy:âˆ‡f(x,y) =Find the gradient of g(x,y) = x y^2-xy-9âˆ‡g(x,y) =Write Lagrange multiplier conditions. Choose the correct answer below:A. 4x = Î»(2x-y), 4y = Î»(2y-x), x y^2-xy-9 = 0B. 4x = Î»(2x-y), 4y = Î»(2y-x), x y^2-xy-9 = 0C. 4x = Î»(2x-y), 4y = Î»(2y-x), x y^2-xy-9 = 0D. 4x = Î»(2x-y), 4y = Î»(2y-x

The function f(x,y) = 4xy has an absolute maximum value and abs…

$Determine all the values of a, b, c, d, e for which the following function is a cubic spline: f(x)={ a(x-2)^2 b(x-1)^3 x ∈(-∞, 1] c(x-2)^2 x ∈[1,3] d(x-2)^2 e(x-3)^3 x ∈[3, ∞). Next, determine the values of the parameters so that the cubic spline interpolates this table: x 0 1 4 26 7 25 | Numerade$

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