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Find the local maxima, local minima, and saddle points, if any, for the function z = 3x-27xy-3y. (Use symbolic notation and fractions where needed.

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Find the local maxima, local minima, and saddle points, if any, for the function z = 3x-27xy-3y. (Use symbolic notation and fractions where needed. Give your answer as point coordinates in the form (*, *, *), (*, *, *) ... Enter DNE if the points do not exist.) local min: local max:

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