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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 1CR
icon
Related questions
Question
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax