A small town in Ohio commissioned an actuarial firm to conduct a study that modeled the rate of change of the town's population. The study found that the town's population (measured in thousands of people) can be modeled by the function P(t)=-13t3+64t+3000, where t is measured in years. a. Find the rate of change function P'(t) of the population function. b. Find P'(1), P'(2), P'(3), and P'(4
A small town in Ohio commissioned an actuarial firm to conduct a study that modeled the rate of change of the town's population. The study found that the town's population (measured in thousands of people) can be modeled by the function P(t)=-13t3+64t+3000, where t is measured in years. a. Find the rate of change function P'(t) of the population function. b. Find P'(1), P'(2), P'(3), and P'(4
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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A small town in Ohio commissioned an actuarial firm to conduct a study that modeled the rate of change of the town's population. The study found that the town's population (measured in thousands of people) can be modeled by the function P(t)=-13t3+64t+3000, where t is measured in years.
a. Find the rate of change function P'(t) of the population function.
b. Find P'(1), P'(2), P'(3), and P'(4)
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