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
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
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