1 Let f(x, y) 2 5æ + y - 3y. Зу. 2 Our goal is to find the location and value of the absolute maximum and minimum of f(x, y) in the triangle with vertices (0, 0), (7, 0), and (0, 7). (a) List the critical points of the function f that lie in the interior of the triangle. Enter in your answers in the form (a, b). Use a comma to separate the points if there is more than one such critical point. (Leave the answer box blank if there are none.) (b) The corner points of the triangle are (0, 0), (7, 0), and (0, 7). List all other points of interest on the boundary, that is, any points on the boundary other than the corner points that are candidates for maxima or minima. Enter each point in the form (a, b) and use a comma to separate different points. (Leave the answer box blank if there are no other points.) () The ahsolute minimum occurs at the point

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