Posted by **Steve** on Monday, March 19, 2012 at 9:21am.

2. An object is moving along the parabola y = 3x^2.

a) When it passes through the point (2, 12), its “horizontal” velocity is dx/dt= 3. What dt

is its “vertical” velocity at that instant?

b)If it travels in such away that dx/dt=3 for all t,then what happens to dy/dt as t→+∞?

￼￼￼￼

c) If, however, it travels in such a way that dy/dt remains constant, then what happens

￼to dx/dt as t→+∞?

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