f. Assume that the population of a certain city increases at a rate proportional to the number of its inhabitants at any time. If the population doubles in 40 years, in how many years will it triple?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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Solve the following applications of differential equations.
f. Assume that the population of a certain city increases at a rate proportional
to the number of its inhabitants at any time. If the population doubles in 40
years, in how many years will it triple?
g. A thermometer reading 50°C is taken outside where the temperature is
30°C. Five minute later the reading is 40°C. Find the temperature reading 10
minutes later after the thermometer was brought outside.
Transcribed Image Text:f. Assume that the population of a certain city increases at a rate proportional to the number of its inhabitants at any time. If the population doubles in 40 years, in how many years will it triple? g. A thermometer reading 50°C is taken outside where the temperature is 30°C. Five minute later the reading is 40°C. Find the temperature reading 10 minutes later after the thermometer was brought outside.
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