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A portion of a roller-coaster track is described by h= 0.75 ⋅x− 1.2×10^−2 ⋅x^2, where h...

A portion of a roller-coaster track is described by h= 0.75 ⋅x− 1.2×10^−2 ⋅x^2, where h and x are the height and horizontal position in meters. 1. Find a point where the roller-coaster car could be in static equilibrium on this track. 2. Is the equilibrium stable or unstable?

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