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A train travels along a set of tracks according to the function s(t)=2t^3/38t^2+30t+1 for t0, where t is measured in seconds and s is measured

A train travels along a set of tracks according to the function s(t)=2t^3/38t^2+30t+1 for t0, where t is measured in seconds and s is measured in meters. On what interval(s) is the train moving to the left?

(Enter your answer in interval notation. If entering more than one interval write the intervals as a union.)

The value of s(t) is increasing to the right and decreasing to the left.

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