Let g(x,y) = + 2y - 12x + 4y -4. Then 9.(z,y)=32-12, 9,(z,y) = 4y +...

   

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Let g(x,y) = + 2y - 12x + 4y -4. Then 9.(z,y)=32-12, 9,(z,y) = 4y + 4, 9az (1,1)= 61, 9(z,y) = 4, and gry (I, U) = 0. (a) Find the critical points g(x, y). (b) Classify the critical points as local maxima, local minima, or saddle points, with justifi- cation. Let g(x,y) = + 2y - 12x + 4y -4. Then 9.(z,y)=32-12, 9,(z,y) = 4y + 4, 9az (1,1)= 61, 9(z,y) = 4, and gry (I, U) = 0. (a) Find the critical points g(x, y). (b) Classify the critical points as local maxima, local minima, or saddle points, with justifi- cation.