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Using a Lagrange Multiplier with One Constraint.

Find the maximum value of f(x,y)=4xy, where x>0 and y>0, subject to the constraint (x^(2)/3^(2)+(y^(2)/4^(2)=1.
11 years ago

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Answered by Steve
f(3/√2 , 2√2) = 24
11 years ago
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Using a Lagrange Multiplier with One Constraint.

Find the maximum value of f(x,y)=4xy, where x>0 and y>0, subject to the constraint (x^(2)/3^(2)+(y^(2)/4^(2)=1.

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