(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Oil is ﬂowing from a well in a continuous stream at a rate of

f(t) =54/(t + 3)^2 barrels per month (in multiples of 100). Find

the total oil produced by the well in its second

three months of operation.

2. Relevant equations

3. The attempt at a solution

Answer choices are 300, 250, 350, 450, 400.

Now, I found the problem worded strangely, but here goes. f(t) is a derivative, so I took the integral of f(t) and got -54/(t+3). The question asks for how much is produced in its second three months, so I took that as 6 months total. Plug in 6 for t and get -6 barrels. But it is in multiples of 100, so 600 barrels produced in the 6 months? So if its asking for oil produced in its "second three months of operation", then in those three months it produced 300 barrels? I hate the wording of the question, and that is the only way I could interpret it and get an answer choice that was provided. Your thoughts?

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# Homework Help: Finding the total production of oil given a rate.

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