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Given a function f (x,y,z) = xy -5x2 + y2 - y + z + 2 and a point P(1 , 2 , 2). (a)

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Given a function f (x,y,z) = xy -5x2 + y2 - y + z + 2 and a point P(1 , 2 , 2). (a) Find the Directional Derivative of the function f at the point P in the direction from the point P towards the point Q(- 1 , 0 , 3). (b) Find the Maximum rate of change of the function f at the point P

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