The population of a certain country was 37.5 million people in the year of 1985. If population growth is assumed to obey the following model: dP 0.009P dt P(0) = 37.5 million where is the size of the population over time and is measured in years. a) Use separation of variables to determine the number of people the company will have population in the year 2085. b) How long will it take for the initial population to double? c) Do you know any other way to solve the problem? Note: Solve step by step to arrive at the result of each of the items. Note2: Solve the 3 parts (a, b, c)
The population of a certain country was 37.5 million people in the year of 1985. If population growth is assumed to obey the following model: dP 0.009P dt P(0) = 37.5 million where is the size of the population over time and is measured in years. a) Use separation of variables to determine the number of people the company will have population in the year 2085. b) How long will it take for the initial population to double? c) Do you know any other way to solve the problem? Note: Solve step by step to arrive at the result of each of the items. Note2: Solve the 3 parts (a, b, c)
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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Perform the exercise that is in the image, step by step to arrive at the result of what is requested in the 3 sections (a, b, c)
Note: Solve step by step to arrive at the result of each of the items.
Note2: Solve the 3 parts (a, b, c)
Transcribed Image Text:The population of a certain country was 37.5 million people in the year of 1985. If
population growth is assumed to obey the following model:
dP
= 0.009P
dt
P(0) = 37.5 million
%3D
where is the size of the population over time and is measured in
years.
a) Use separation of variables to determine the number of people the company will have
population in the year 2085.
b) How long will it take for the initial population to double?
c) Do you
know
any
other
way to solve the problem?
Note: Solve step by step to arrive at the result of each of the items.
Note2: Solve the 3 parts (a, b, c)
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