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    Mean Value Theorem and Intervals

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    Use the Mean Value Theorem to find c = _________________
    the value, or values, of c for the following function, in the interval [- 1, 1],
    that satisfies the theorem.

    For x>=0, G(x) = 1 + x^2
    For x < 0, G(x) = 1 - x^2

    © BrainMass Inc. brainmass.com March 4, 2021, 6:09 pm ad1c9bdddf
    https://brainmass.com/math/basic-calculus/mean-value-theorem-intervals-31895

    Solution Preview

    Here, a = -1, b = 1
    G(b) = G(1) = 1 + 12 = 2
    G(a) = G(-1) = 1 - (-1)2 = ...

    Solution Summary

    The mean value theorem and intervals are examined.

    $2.19

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