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2. People board a train at a rate modeled by the function B is given by
As people board the train, they exit at a constant rate of 3.2 people per minute. There are initially 30 people on the train.
(a) How many people board the train during the time interval 0≤t≤10
(b) How many people are on the train at time t=10 ?
(c) No one boards the train after time t=10, so at what time will there be no people on the train?
(d) At what time t is the number of people on the train a maximum?
