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Use Lagrange multipliers to find the maximum and minimum values of the function f (x, y) = x^2+4y^2 subject to the constraint xy = 8.
Use Lagrange multipliers to find the maximum and minimum values of the function
f (x, y) = x^2+4y^2 subject to the constraint xy = 8.
Clearly mark which value is the maximum value (assuming this exists) and which
value is the minimum value (assuming this exists).