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    Absolute maximum and minimum

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    Find the absolute maximum and absolute minimum values of f on the given interval.

    F(x) = sqrt(9-x^2) [-1, 2]

    or in other words:

    F(x) equals the square root of (9 minus x squared).

    The problem is also attached in MS word.

    © BrainMass Inc. brainmass.com December 24, 2021, 4:41 pm ad1c9bdddf


    Solution Preview

    F(x) = sqrt(9-x^2) = (9-x^2)^(1/2)
    on the interval [-1,2];

    are standard notations for writing this equation out in text form. The ^ means exponent.

    To find the absolute max and min we have to:
    1) find all extreme (or critical points)
    2) check the end points.

    Calculate the first derivative.
    F'(x) = 1/2 (9 - x^2)^(-1/2) (-2x) = - x / sqrt(9-x^2)
    (remember to use the chain ...

    Solution Summary

    The solution shows how to find absolute maximum and minimum of a given function on a specified interval.