A model for the population P(t) in a suburb of a large city is given by the initial-value problem dP dt where t is measured in months. What is the limiting value of the population? = P(10-110-7P), P(0) = 3000, At what time will the population be equal to one-half of this limiting value? (Round your answer to one decimal place.) months

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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A model for the population P(t) in a suburb of a large city is given by the initial-value problem
dP
P(10-¹1-10-7P), P(0) = 3000,
dt
where t is measured in months. What is the limiting value of the population?
=
At what time will the population be equal to one-half of this limiting value? (Round your answer to one decimal place.)
months
Transcribed Image Text:A model for the population P(t) in a suburb of a large city is given by the initial-value problem dP P(10-¹1-10-7P), P(0) = 3000, dt where t is measured in months. What is the limiting value of the population? = At what time will the population be equal to one-half of this limiting value? (Round your answer to one decimal place.) months
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