Assuming the rate of leakage decreased linearly from 62000 to 53000 barrels per day during the time interval stated above, write a function f(t) for the daily rate of leakage in terms of time. (In this problem, use t= 0 for April 20, so July 15 will be t= 86, with days being the unit of time.)    (2) Use this function to write and compute a definite integral for the total amount of oil that leaked out.    (3) What was the average daily rate of leakage?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Assuming the rate of leakage decreased linearly from 62000 to 53000
barrels per day during the time interval stated above, write a function
f(t) for the daily rate of leakage in terms of time. (In this problem, use
t= 0 for April 20, so July 15 will be t= 86, with days being the unit of time.) 
 
(2) Use this function to write and compute a definite integral for the total
amount of oil that leaked out. 
 
(3) What was the average daily rate of leakage? 
 
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