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Math Help - Average value of a fundtion

  1. #1
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    Average value of a fundtion

    Im trying to find the average value of this function,
    S is the temperature of a bar
    there isnt any values in the question so its proving difficult.

    The bar is of length h units,
    Fidn the mean value of S in terms of h
    My answer is



    and the correct answer is



    Can anybody see where i have gone wrong?

    Thanks
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  2. #2
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    Re: Average value of a fundtion

    Hey MMCS.

    I can't see the pictures: Can you re-upload them?
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  3. #3
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    Re: Average value of a fundtion

    Average value of a fundtion-q.png
    Sorry for the delayed reply, there is the equation. The mean value theorem is not too difficult, however, without the intervals given i dont know how to use the formual to derive the equation

    Thanks
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  4. #4
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    Re: Average value of a fundtion

    So T= 120+ 232e^{-0.8x}. Not that hard to type. And you are told the interval- it is x= 0 to x= h. However, the "mean value theorem" will not help you find the average value of the figure- just tell you that there is a point where the temperature is equal to that average value. The average value of function f, from x= 0 x= h, is \left(\int_0^h f(x)dx\right)/h.
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  5. #5
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    Re: Average value of a fundtion

    Do you have any knowledge of mathcad to help me with a worksheet for this?
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  6. #6
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    Re: Average value of a fundtion

    I have worked it out now, thanks for your help hallsofivy
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