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Multivariable CalculusHardOptimization & Lagrange Multipliers

Optimization & Lagrange Multipliers · Hard problem

Find the minimum value of f(x,y)=3x2−xy−12x+2y2+2y+7f(x, y) = 3 x^{2} - x y - 12 x + 2 y^{2} + 2 y + 7.