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Multivariable CalculusMediumOptimization & Lagrange Multipliers

Optimization & Lagrange Multipliers · Medium problem

Find the absolute maximum of f(x,y)=x2+y2−2xf(x,y) = x^2 + y^2 - 2x on the closed disk x2+y2≤4x^2 + y^2 \le 4.