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^-0.01tV=?liters
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![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^-0.01tV=?liters](/uploads/image/z/13558303-55-3.jpg?t=%E5%BE%AE%E7%A7%AF%E5%88%86%E6%B1%82%E5%AE%B9%E7%A7%AFAn+oil+storage+tank+ruptures+at+time+t+%3D+0+and+oil+leaks+from+the+tank+at+a+rate+of+r%28t%29+liters+per+minute.How+much+oil+V+leaks+out+during+the+first+hour%3F%28Give+your+answer+to+the+nearest+liter.%29+r%28t%29%3D85e%5E-0.01tV%3D%3Fliters)
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^-0.01tV=?liters
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
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^-0.01tV=?liters
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)