Oil is leaking out of a ruptured tanker at a rate of r(t) = 20e−0.02t thousand liters per minute. how many liters leak out during the first hour?

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03-01-2017
Mathematics

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Oil is leaking out of a ruptured tanker at a rate of r(t) = 20e−0.02t thousand liters per minute. how many liters leak out during the first hour?

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LammettHash LammettHash · Answer 1 · 2017-01-03T23:51:37+01:00

LammettHash LammettHash

03-01-2017

There are 60 minutes to an hour, so the amount of oil that leaks out is given by

[tex]\displaystyle\int_0^{60}r(t)\,\mathrm dt\approx698.806\text{ L}[/tex]

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