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Rates of Change : Derivatives

A tank holding 1000 gallons is being drained. The volume in the tank is given by:

V (t) = 1000 (1- _t_)^2 for 0 < t < 40

where t is given in minutes. Find the rate at which water is draining from the tank. When is the tank draining fastest?

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Solution Summary

A rate of change is calculated using derivatives.