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Thread: exponential growth

  1. August 19th 2007, 10:39 AM #1
    harry
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    exponential growth

    The population of the world t years after 2000 is predicted to be
    P = 6.1e^0.0125t billion:

    What is the population in 2010?

    What is the predicted average population btwn 2000 - 2010?
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  2. August 19th 2007, 10:47 AM #2
    topsquark
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    Quote Originally Posted by harry View Post
    The population of the world t years after 2000 is predicted to be
    P = 6.1e^0.0125t billion:

    What is the population in 2010?

    What is the predicted average population btwn 2000 - 2010?
    The population in the year 2010 will be
    P(10) = 6.1e^{0.0125 \cdot 10} billion.

    The average over the ten year period is given by the mean value theorem:
    \bar{P} = \frac{1}{10 - 0}\int_0^{10}6.1e^{0.0125t} dt billion

    -Dan
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