A bicycle rider rides from home along a highway and back

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A bicycle rider rides from home along a highway and back along the same road in such a way that her distance from home at time t is given by

X = t**4 - 8t**3 + 16 t**2 where t is in hours and x in kilometers. Here X is the function of time as shown.

(a) After how many hours does the rider get home?

(b) How far from home in kilometers does the rider go?

(d) After how many hours does the rider's maximum speed occur?

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A bicycle rider rides from home along a highway and back : a bicycle rider rides from home along a highway and back along the same road in such a way that her distance from home

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