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Math Help - population growth question using a symetric difference quotient

  1. #1
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    Question population growth question using a symetric difference quotient

    If the symetric difference quotient is given as: (P'(t)= P(t+10)-P(t-10)/20)
    Given the info below, how would I compute this equation? I am a little lost and getting a bit frustrated... I am not sure what to use for (P'(t)... Any help would be greatly appreciated...

    Date population at t time in years after 1790
    1790 3.9 t=0
    1800 5.3 t=10
    1810 7.2 t=20
    1820 9.6 t=30
    1830 12.9 t=40
    Last edited by bemidjibasser; July 28th 2010 at 10:43 AM.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by bemidjibasser View Post
    If the symetric difference quotient is given as: (P'(t)= P(t+10)-P(t-10)/20)
    Given the info below, how would I compute this equation? I am a little lost and getting a bit frustrated... I am not sure what to use for (P'(t)... Any help would be greatly appreciated...

    Code:
    Date         population at t      time in years after 1790        
    1790             3.9                      t=0
    1800             5.3                      t=10
    1810             7.2                      t=20
    1820             9.6                      t=30
    1830            12.9                      t=40
    P'(10)=\dfrac{P(20)-P(0)}{20}=\dfrac{7.2-3.9}{20}

    P'(20)=\dfrac{P(30)-P(10)}{20}=\dfrac{9.6-5.3}{20}

    etc

    CB
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  3. #3
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    Thanks CB! Much appreciated!
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