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Math Help - estimation

  1. #1
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    estimation

    For time t, in hours, 0 t 1, a bug is crawling at a velocity, v, in meters/hour given by the following equation.

    .
    Use t = 0.2 to estimate the distance that the bug crawls during this hour. Find an overestimate and an underestimate. Then average the two to get a new estimate.


    can i get some help on how to go about this problem...i know how to do it given the different values for time and velocity...but this one stumps me...any help??

    mer1988
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  2. #2
    MHF Contributor
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    Your v(t) is strictly decreasing.

    Calculate:

    v(0.0)
    v(0.2)
    v(0.4)
    v(0.6)
    v(0.8)
    v(1.0)

    Use the first 5 for the over-estimate.
    Use the last 5 for the under-estimzate.
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