有英语要求,If a tank holds 5000 gallons of water,which drains fro

来源：学生作业帮编辑：作业帮分类：英语作业时间：2024/05/12 14:43:25

有英语要求,
If a tank holds 5000 gallons of water,which drains from the bottom of the tank in 2
hours,then Torricelli’s Law gives the volume of water remaining in the tank after t
minutes as:V=5000(1-t/120)^2,0≤t≤120.(^为指数符号)
a) Find the rate at which the water is draining from the tank after t minutes
b) Find the rate at which the water is draining from the tank after i) 30 minutes,and ii)1 hour
c) Is the rate of flow increasing or decreasing?How could we find this out using
derivatives?

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)的答案.
(c)的题目问随着时间的增加,水流出容器的比率是增大还是减少,你应该比较(b)题的答案从而得出结论.然后要你用derivatives的方法求.这一题我也不太清楚.
其实求the rate of sth这种题目都要求导,就是用differentiation.

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