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Finding Extrema: Lagrange Multipliers

Use the method of Lagrange multipliers to find the indicated extremum.

Let f(x,y) = 8x^2 - 24xy + y^2. Find the maximum and minimum values of the function f(x,y) subject to the constraint 8x^2 + y^2 = 1.

Solution Summary

This solution is provided in a Word document which is attached and uses the Lagrange multipliers method to find extrema. The solution is detailed and well-presented.