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?
Please see the attached file for the fully formatted problems.
A rate of change is calculated using derivatives.