SOLUTION: Can someone please help me with this integral calculus problem? An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 120^e−0.01(t)lit

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Question 744266: Can someone please help me with this integral calculus problem?
An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 120^e−0.01(t)liters per minute. How much oil leaks out during the first hour? (Round your answer to the nearest liter.)

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 120^e−0.01(t)liters per minute. How much oil leaks out during the first hour? (Round your answer to the nearest liter.)
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r(t) = 120e^-0.01t, t in minutes
R(t) = -12000e^-0.01t
Vol = R(60) - R(0)
= -6585.74 + 12000
=~ 5414 liters

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