Consider the function f(x,y) %— ху — х -4 у a) The critical point of f is (х,у)- (4,1) b) According to the second derivative test, the critical point found in part a) yields A. saddle point B. local minimum C. inconclusive D. local maximum c) Consider the function f restricted to the region on the xy plane bounded by the triangle with vertices (0,4), (4,0) and (8,4). What is the absolute maximum and absolute minimum f takes on this region? Absolute max = 16 - 8 and occurs at the point ( 8', 4') Absolute min = - 16 and occurs at the point ( 0 , 4')

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