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) = -t3 + 27 t + 30 where t is years since 2000. Find the relative extreme values of this function and sketch the graph for 0
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) = -t3 + 27 t + 30 where t is years since 2000. Find the relative extreme values of this function and sketch the graph for 0
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text: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) = -t3 + 27 t + 30
where t is years since 2000.
Find the relative extreme values of this function and sketch the graph
for 0<t< 5
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