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Math Help - graph Mean value theorem

  1. #1
    Junior Member
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    graph Mean value theorem

    Please help. How do you read a graph and tell where the c's are?

    Consider the following figure. Use the graph of f to estimate the values of c to the nearest 0.1 that satisfy the conclusion of the Mean Value Theorem for the interval [0, 8].
    c = (smallest value)
    c =
    c =
    c = (largest value)
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by kwivo View Post
    Please help. How do you read a graph and tell where the c's are?

    Consider the following figure. Use the graph of f to estimate the values of c to the nearest 0.1 that satisfy the conclusion of the Mean Value Theorem for the interval [0, 8].
    c = (smallest value)
    c =
    c =
    c = (largest value)
    You are looking for the points where the tangent to the curve has the same
    slope as the line joining the ends of the curve (which has slope 0.25).

    You will need a paper copy of the plot and use a ruler, but the points are
    near x=0.8, 3.2, 4, and 6.2, but these are probably not accurate to the
    nearest 0.1.

    RonL
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