Question: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = xy subject to the constraint 9x 2 +y 2 =72 if

Use Lagrange multipliers to find the maximum and minimum values of

f(x, y) = xy

subject to the constraint

9x2+y2=72

if such values exist.

Enter the exact answers. If there is no global maximum or global minimum, enter NA in the appropriate answer area. Maximum =

Minimum =

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