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    The Method of Lagrange Multipliers

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    Use the method of Lagrange multipliers to find the indicated extremum. You may assume the extremum exists.

    Find the maximum and minimum values of f(x,y,z) =
    x + 3y - z subject to z = 2x^2 + y^2

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    https://brainmass.com/math/calculus-and-analysis/method-lagrange-multipliers-23174

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    Step 1: Find extreme point
    The corresponding Lagrange ...

    Solution Summary

    This solution is comprised of a step-wise response which shows how to use Lagrange multipliers to find extrema. This solution is provided in an attached Word document.

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