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7. (9+3=12 pts) (a) Determine the values of the constants a, b, and c such that the function f(x,y) = axly + bxy + 2xyz

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7. (9+3=12 pts) (a) Determine the values of the constants a, b, and c such that the function f(x,y) = axly + bxy + 2xyz + c has a minimum at the point (2/3, 1/3) with minimum value -1/9. (b) With the values of a, b, and c obtained in part (a), check the second order condition for minimum is satisfied

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