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Question: 5 consider the function f xyxy 9y 10 points...

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5. Consider the function f (x,y)-x?y + уз-хуг-9y. [10 points] a. Find all critical points. b. Consider the square region D - (x,y): xl + lyl s 4). Determine the absolute minima and maxima of f on D. c. Calculate the gradient vector field for f and find equation of the tangent plane to the graph of z f (x, y) at (0,1).
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