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Multivariable CalculusHardOptimization & Lagrange Multipliers

Optimization & Lagrange Multipliers · Hard problem

Find the minimum value of f(x,y)=3x2−xy+21x+3y2−21y+63f(x, y) = 3 x^{2} - x y + 21 x + 3 y^{2} - 21 y + 63.