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    Maximizing a Function given a Constraint

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    Maximize f(x,y) = sqrt(6- x^2 - y^2) given the constraint x+y-2=0.

    © BrainMass Inc. brainmass.com March 4, 2021, 5:58 pm ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/maximizing-function-constraint-20860

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    We can write the above question into Lagrangian Equation:
    L = (6 - x^2 - y^2)^0.5 - m*(x+y-2)
    Where "^" means "to the power of", and m is Lagrangian ...

    Solution Summary

    A function is maximized given a constraint. The square root constraints are determined.

    $2.19

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