During the period from 1790 to 1920, a country's population P(t) (t in years) grew from 3.6 million to 104.3 million. Throughout this period, P(t) remained close to the solution of the initial value problem -=0.03137P-0.0001493p² dP dt P(0) = 3.6. (a) What 1920 population does this logistic equation predict? (b) What limiting population does it predict? (c) The country's population in 2000 was 258 million. Has this logistic equation continued since 1920 to accurately model the country's population? (a) The logistic equation predicts the population in 1920 to be round to the nearest thousandth as needed.) million. (Do not round until the final answer. Then

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
icon
Related questions
Question

Rrr

During the period from 1790 to 1920, a country's population P(t) (t in years) grew from 3.6 million to 104.3 million.
Throughout this period, P(t) remained close to the solution of the initial value problem -=0.03137P-0.0001493p²
dP
dt
P(0) = 3.6.
(a) What 1920 population does this logistic equation predict?
(b) What limiting population does it predict?
(c) The country's population in 2000 was 258 million. Has this logistic equation continued since 1920 to accurately
model the country's population?
(a) The logistic equation predicts the population in 1920 to be
round to the nearest thousandth as needed.)
million. (Do not round until the final answer. Then
Transcribed Image Text:During the period from 1790 to 1920, a country's population P(t) (t in years) grew from 3.6 million to 104.3 million. Throughout this period, P(t) remained close to the solution of the initial value problem -=0.03137P-0.0001493p² dP dt P(0) = 3.6. (a) What 1920 population does this logistic equation predict? (b) What limiting population does it predict? (c) The country's population in 2000 was 258 million. Has this logistic equation continued since 1920 to accurately model the country's population? (a) The logistic equation predicts the population in 1920 to be round to the nearest thousandth as needed.) million. (Do not round until the final answer. Then
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
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,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage