01:640:151 Lecture Notes - Lecture 25: Iunit, Marginal Cost
Document Summary
Position = rate of change in posiion as a function of t. = 50 t |(cid:2930)=(cid:2868)(cid:2930)=(cid:2872) = 50(4) 50(0) = 200 (cid:2912)(cid:2911) Water leaks from a tank at a rate at 2 + 5t liters per hour where t is the number of hours after 7 am. How much water is lost between 9 am and 11 am? f(t) = [(cid:884)t+(cid:887)(cid:884) t(cid:2870)](cid:2870)(cid:2872) = 8 + 40 4 10. Where (2 + 5t) = liter/hr at time t. The number of cars passing an observation point along a highway is called the traffic flow rate q(t) (in units of car per hour) Suppose the flow rate is recorded at 15 min intervals as follows t q(t) Estimate the number of cards that used the highway during this 2 hr period. Ans: l8 = 0. 25 (1004 + 1297 + 1478 + 1844 + 1451 + 1378 + 1155 + 802) ;