Assume that the amount of time, T, a job takes is inversely proportional to the number of people P doing the job. Does it make sense to use differential equations to model how long a job takes? If so, write the differential equation. If not, explain why. 1 Assume that a population, P, is changing at a rate proportional to 75 - P. Does it make sense to use differential equations to model the population size? If so, write the differential equation. If not, explain why.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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Please explain how to solve both, thank you!
Assume that the amount of time, T, a job takes is inversely proportional to the
number of people P doing the job. Does it make sense to use differential equations
to model how long a job takes? If so, write the differential equation. If not, explain
why.
A
Assume that a population, P, is changing at a rate proportional to 75 - P. Does it
make sense to use differential equations to model the population size? If so, write
the differential equation. If not, explain why.
Transcribed Image Text:Assume that the amount of time, T, a job takes is inversely proportional to the number of people P doing the job. Does it make sense to use differential equations to model how long a job takes? If so, write the differential equation. If not, explain why. A Assume that a population, P, is changing at a rate proportional to 75 - P. Does it make sense to use differential equations to model the population size? If so, write the differential equation. If not, explain why.
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