Assignment:
Q1. 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) =
Q2. 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) =
C'(X) = 0.000004 x -0.03-80000x2
(b) Compute the following values. (Round your answer to four decimal places.)
C '(5000) =
C '(10,000) =
Provide complete and step by step solution for the question and show calculations and use formulas.