Suppose that water is flowing into a tank at a rate
Chapter 6, Problem 66(choose chapter or problem)
Suppose that water is flowing into a tank at a rate ofr(t)gallons per hour, where the rate depends on the timetaccording to the formular(t)=204t,0t5.(a)Consider a brief period of time, say fromt1tot2.Thelength of this time period is t=t2t1. During thisperiod the rate of flow does not change much and isapproximately 204t1(the rate at the beginningof the brief time interval). Approximately how muchwater flows into the tank during the time fromt1tot2?(b)Explain why the total amount of water added to thetank during the time interval fromt=0tot=5isgiven by?50r(t)dt.
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