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Math Help - Using the difference quotient

  1. #1
    Newbie crazydaizy78's Avatar
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    Unhappy Disregard/8-)figured Out Problem On My Own!! 8-)

    using this formula, I'm trying to figure out the problem below

    formula: f(a+h)-f(a)/h

    Original prob is P(r)=500(1+r)^2
    r=0.07 & h=0.01

    I want to do this:

    500(1+(r+h))^2/h

    So 500(1+(0.07+0.01))^2 / 0.01

    but it doesn't come ouut w/the answer in the book. Where am I going wrong? Can you help me step by step? Math is so hard for me to grasp. then they mix up the letters!

    Thanks a bunch!
    Last edited by crazydaizy78; January 20th 2008 at 04:53 PM. Reason: FIGURED OUT PROBLEM ON MY OWN!! 8-)
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  2. #2
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    mr fantastic's Avatar
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    Quote Originally Posted by crazydaizy78 View Post
    using this formula, I'm trying to figure out the problem below

    formula: f(a+h)-f(a)/h

    Original prob is P(r)=500(1+r)^2
    r=0.07 & h=0.01

    I want to do this:

    500(1+(r+h))^2/h

    So 500(1+(0.07+0.01))^2 / 0.01

    but it doesn't come ouut w/the answer in the book. Where am I going wrong? Can you help me step by step? Math is so hard for me to grasp. then they mix up the letters!

    Thanks a bunch!
    First off - good for you for being a donor

    You need to break it down to small bits and then do each bit at a time:


    1. P(r + h) = 500(1 + r + h)^2 = 500(1 + 0.07 + 0.01)^2 = 500(1.08)^2 = 583.2.



    2. P(r) = 500(1 + r)^2 = 500(1 + 0.07)^2 = 500(1.07)^2 = 572.45.



    3. \displaystyle \frac{P(r + h) - P(r)}{h} = \frac{583.2 - 572.45}{0.01} = \frac{10.75}{0.01} = 1075.
    Last edited by mr fantastic; January 20th 2008 at 04:59 PM. Reason: Forgot an =
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