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The Method of Lagrange Multipliers

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

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.