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Working mothers the percentage of mothers who work outside

Question: WORKING MOTHERS The percentage of mothers who work outside the home and have children younger than age 6 yr is approximated by the function

P(t) = 33.55(t + 5)^0.205 (0 ≤ t ≤ 21)

where t is measured in years, with t = 0 corresponding to the beginning of 1980. Compute P'(t). At what rate was the percentage of these mothers changing at the beginning of 2000? What was the percentage of these mothers at the beginning of 2000?

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