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Lagrange multipliers method

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Considering the surface f(x,y)=xy and the constraint x2+y2=1 , answer to the following questions:

A. Using the Lagrange multipliers method we can obtain some possible maximum and minimum for ?=ï?±1/2
B. The Lagrange multipliers method is the most convenient
C. There are two absolute maximum and two absolute minimum
D. There is only one absolute maximum and one absolute maximum

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Lagrange multipliers method is carefully applied.

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