Explore BrainMass

# Derivatives for functions

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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) =

© BrainMass Inc. brainmass.com March 4, 2021, 11:54 pm ad1c9bdddf
https://brainmass.com/math/derivatives/derivatives-for-functions-464418

#### Solution Preview

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