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Math Help - need help...por favor!

  1. #1
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    need help...por favor!

    Oil is leaking out of a ruptured tanker at a rate of r(t) = 39e^(-0.02t) thousand liters per minute.
    (a) At what rate is oil leaking out at t = 0?
    thousand liters per minute

    At what rate is oil leaking out at t = 60?
    thousand liters per minute

    (b) How many liters leak out during the first hour?
    thousand liters

    need some help with this one please...

    mathlete
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by mathlete View Post
    Oil is leaking out of a ruptured tanker at a rate of r(t) = 39e^(-0.02t) thousand liters per minute.
    (a) At what rate is oil leaking out at t = 0?
    thousand liters per minute

    At what rate is oil leaking out at t = 60?
    thousand liters per minute

    (b) How many liters leak out during the first hour?
    thousand liters

    need some help with this one please...

    mathlete
    a) You've got the rate equation, just plug in the value of t. For example, for t = 60:
    r(60) = 39e^{-0.02 \cdot 60}

    b) Volume = \int_0^{60}39e^{-0.02t}~dt

    -Dan
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