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    Derivatives for functions

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    The percent of mothers who work outside the home and have children younger than age 6 yr is approximated by the following function where t is measured in years, with t = 0 corresponding to the beginning of 1980.
    P(t) = 34.57(t + 3)0.205 (0 t 21)
    Compute the following value. Round your answer to 4 decimal places.
    P''(18) =

    During testing of a certain brand of air purifier, the amount of smoke remaining (as a percent of the original amount) t min after the start of the test was given by the following function.
    A(t) = -0.00006t5 + 0.00468t4 - 0.132t3 + 1.7t2 - 17.63t + 107
    Compute the following values.
    A'(10) =

    A''(10) =

    (b) Compute the following values. (Round your answer to four decimal places.)
    C '(5000) =

    C '(10,000) =

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    The percent of mothers who work outside the home and have children younger than age 6 yr is approximated by the following function where t is measured in years, with t = 0 corresponding to the beginning of 1980.
    P(t) = 34.57(t + 3)0.205 (0 t 21)
    Compute the following ...

    Solution Summary

    The solution provides examples on how to perform derivatives for some functions.

    $2.49

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