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Math Help - word problem with possible integration? a rate

  1. #1
    Junior Member LexiRae's Avatar
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    word problem with possible integration? a rate

    water is leaking from a tank at a rate of R(t) = 500e^(-.2t) gallons per hour, where t is measured in hrs. the AMOUNT of oil that is leaked after ten hrs is closest to...?

    im not sure what to do with this.
    i think you integrate the function?
    but i dont know.
    any help is appreciated!
    Last edited by LexiRae; April 5th 2009 at 03:47 PM. Reason: typo
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  2. #2
    MHF Contributor
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    I do believe you're right! Just as the total distance attained is the integral of the velocity (the rate of change in the position), so also your total amount attained (drained, in this case) will be the integral of the flow velocity (the rate of change in the amount).

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