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Thread: Sensitivity and elasticity word problem!

  1. #1
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    Sensitivity and elasticity word problem!

    I am having trouble with this problem:

    In a healthy person of height h inches, the average pulse rate (beats per minute) is modelled by the function
    P (h)=596/sqrt (h)
    1) compute the sensitivity of P at h=60
    2) based on 1), estimate the change in pulse rate corresponding to a height change from 59 to 60 inches.
    3) computer the elasticity of P. Does it depend on h?
    4) use 3) to determine how accurate a measurement of h needs to be in order to ensure the estimate for P is within +or- 10%.

    Thank you ahead of time!!
    Last edited by Purplepeopleeater; Mar 11th 2017 at 12:59 PM.
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  2. #2
    MHF Contributor
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    Re: Sensitivity and elasticity word problem!

    Hey Purplepeopleeater.

    Can you please show us your attempts at the question?
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  3. #3
    MHF Contributor

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    Re: Sensitivity and elasticity word problem!

    It looks to me like the word "sensitivity" here is peculiar to this application and not really a "mathematics" word, nor is "elasticity". How are "sensitivity" and "elasticity" in this sense defined in your class? Are they related to the derivative of the function?
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