The population of a town is f(x) = 3x - 11x + 240 people after x weeks (for 0 ≤ x ≤ 20). (a) Find f'(x) by using the definition of the derivative. (b) Use your answer to part (a) to find the instantaneous rate of change of the population after 1 week. Be sure to interpret the sign of your answer. The population is --Select--- at a rate of people per week after 1 week. (c) Use your answer to part (a) to find the instantaneous rate of change of the population after 5 weeks. The population is --Select-- at a rate of people per week after 5 weeks.
The population of a town is f(x) = 3x - 11x + 240 people after x weeks (for 0 ≤ x ≤ 20). (a) Find f'(x) by using the definition of the derivative. (b) Use your answer to part (a) to find the instantaneous rate of change of the population after 1 week. Be sure to interpret the sign of your answer. The population is --Select--- at a rate of people per week after 1 week. (c) Use your answer to part (a) to find the instantaneous rate of change of the population after 5 weeks. The population is --Select-- at a rate of people per week after 5 weeks.
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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