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Consider the function F(x,y)=e^(-x^2/3-y^2/3) and the point P(3,-3). A-find the unit vector that gives the directions of steepest ascent and steepest descent at P. B-

Consider the function F(x,y)=e^(-x^2/3-y^2/3) and the point P(3,-3). A-find the unit vector that gives the directions of steepest ascent and steepest descent at P. B- find a vector that points in a direction of no change in the function at P. -the Direction of the steepest ascent is (?,?) The direction of the steepest descent is (?,?) - which of tje following vectors points in a direction of no change of the function at P(3,-3)? A. (0,1) B.(1,0) C.(1,1) D.(-1,1)

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