The number of cars per hour passing an observation point along a highway is called the traffic flow rate q(t) (in cars per hour). On a weekday morning, the traffic flow rate on a highway is given by the function q(t) = 300 + 200t − 30t2 , where t denotes the time in 2 t hours and t = 0 corresponds to 3:00 A.M. (a) Write down the integral that represents how many cars pass by from 3:00 A.M. to 11:00 A.M.

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The number of cars per hour passing an observation point along a highway is called the traffic flow rate q(t) (in cars per hour). On a weekday morning, the traffic flow rate on a highway is given by the function q(t) = 300 + 200t − 30t2 , where t denotes the time in 2 t hours and t = 0 corresponds to 3:00 A.M.

(a) Write down the integral that represents how many cars pass by from 3:00 A.M. to 11:00 A.M.

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