Breaking Lagrange (#differentiation, #computationaltools) Consider the prob- lem of maximizing the function f(x, y) = 3x+4y subject to the contraint √x+√y=7. (a) What are the critical points you obtain using Lagrange Multipliers? Classify them as local/global maxima or minima. (b) Create a contour plot to illustrate the method of Lagrange multipliers the prob- lem by graphing the constraint equation and several level curves of f. Use your diagram to identify any other critical points. (c) Were there any extreme values not identified by the method of Lagrange Mul- tipliers? Why?

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