A track has a height that is a function of horizontal


A track has a height that is a function of horizontal position x, given by h(x) = x3 + 4x2 ? 37x + 16.

Find all the positions on the track where a marble will remain where it is placed.

What kind of equilibrium exists at each of these positions? (Enter your answers from smallest to largest.)

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Physics: A track has a height that is a function of horizontal
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