Suppose we place a tiny ball on a hard surface given by function f(x,y) = 3x^2y-2xy^2 at the point (1,2). That is, we place the ball on the point (1,2, f(1,2)) = (1,2,-2). In what initial direction will the ball start rolling, just being pulled downward by gravity

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Advanced Physics Suppose we place a tiny ball on a hard surface given by function f(x,y) = 3x^2y-2xy^2 at the point (1,2). That is, we place the ball on the point (1,2, f(1,2)) = (1,2,-2). In what initial direction will the ball start rolling, just being pulled downward by gravity
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