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Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=xy subject to the constraint...

Use Lagrange multipliers to find the maximum and minimum values of

f(x,y)=xy

subject to the constraint 25x^2+y^2=200

if such values exist.

Enter the exact answers. Which is global maximum/global minimum? Enter NA in the appropriate answer area if these do not apply.

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