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Let f (x, y) = 2x2 + 3y2 represent the height of a mountain above the point (x, y). Let the positive x-direction point East and the positive...

Let f (x, y) = 2x2 + 3y2 represent the height of a mountain above the point (x, y). Let the positive x-direction point East and the positive y-direction point North. Suppose that I am standing above the point P (3, 2) and sit a ball down. Which direction best represents the direction that the ball will start to roll?

This question was asked on Mar 30, 2010.

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