微积分求容积
问题描述：
微积分求容积
An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) liters per minute.How much oil V leaks out during the first hour?(Give your answer to the nearest liter.)
r(t)=85e^-0.01t
V=?liters
答
我不太会英语
但题会做
r(t)=dV/dt=85e^-0.01t
dV=(85e^-0.01t)dt
V=-8500(e^-0.01t)|t=1
所以t时刻漏油8500(e^-0.01)