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QUESTION

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).

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