问题标题:
有英语要求,Ifatankholds5000gallonsofwater,whichdrainsfromthebottomofthetankin2hours,thenTorricelli’sLawgivesthevolumeofwaterremaininginthetankaftertminutesas:V=5000(1-t/120)^2,0≤t≤120.(^为指数符号)a)Find
问题描述:
有英语要求,
Ifatankholds5000gallonsofwater,whichdrainsfromthebottomofthetankin2
hours,thenTorricelli’sLawgivesthevolumeofwaterremaininginthetankaftert
minutesas:V=5000(1-t/120)^2,0≤t≤120.(^为指数符号)
a)Findtherateatwhichthewaterisdrainingfromthetankaftertminutes
b)Findtherateatwhichthewaterisdrainingfromthetankafteri)30minutes,andii)1hour
c)Istherateofflowincreasingordecreasing?Howcouldwefindthisoutusing
derivatives?
苗原回答:
题目的意思是一个tank里面装着5000加仑的水,然后在2小时内从tank的底部流出.然后给你一条式子代表t分钟后,tank里面剩下的水的体积.其实你求dv/dt就能求出(a)的答案.然后把30和60代进入dv/dt的式子里面就能求出(b)的...
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