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During the period from 1790 to 1910, a country's population P(t) (t in years) grew from 4.1 million to 92.8 million. Throughout this period, P(t) remained close to the solution of the initial value problem = 0.03127P - 0.0001487P² P(0) = 4.1. (a) What 1910 population does this logistic equation predict? (b) What limiting population does it predict? (c) The country's population 2000 was 309 million. Has this logistic equation continued since 1910 to accurately model the country's population?

During the period from 1790 to 1910, a country's population P(t) (t in years) grew from 4.1 million to 92.8 million. Throughout this period, P(t) remained close to the solution of the initial value problem = 0.03127P - 0.0001487P² P(0) = 4.1. (a) What 1910 population does this logistic equation predict? (b) What limiting population does it predict? (c) The country's population 2000 was 309 million. Has this logistic equation continued since 1910 to accurately model the country's population?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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X 2.1.29 Question Help dP During the period from 1790 to 1910, a country's population P(t) (t in years) grew from 4.1 million to 92.8 million. Throughout this period, P(t) remained close to the solution of the initial value problem = 0.03127P - 0.0001487P2. dt P(0) = 4.1. (a) What 1910 population does this logistic equation predict? (b) What limiting population does it predict? (c) The country's population in 2000 was 309 million. Has this logistic equation continued since 1910 to accurately model the country's population? (a) The logistic equation predicts the population in 1910 to be million. (Do not round until the final answer. Then round to the nearest thousandth as needed.)
Transcribed Image Text:X 2.1.29 Question Help dP During the period from 1790 to 1910, a country's population P(t) (t in years) grew from 4.1 million to 92.8 million. Throughout this period, P(t) remained close to the solution of the initial value problem = 0.03127P - 0.0001487P2. dt P(0) = 4.1. (a) What 1910 population does this logistic equation predict? (b) What limiting population does it predict? (c) The country's population in 2000 was 309 million. Has this logistic equation continued since 1910 to accurately model the country's population? (a) The logistic equation predicts the population in 1910 to be million. (Do not round until the final answer. Then round to the nearest thousandth as needed.)
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