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Let n(t) be the size of the population of a specific country at any time t. Suppose the maximum population size this country can possibly sustain is N 1012434. Suppose further that the rate of growth of the population at any current time t is proportional to both the current population size and the differences between the maximum population size and its current size. (Use A as the proportionality constant). If we take the initial population at time to 2.,002 to be No 10,663, and use a proportionality constant A 0.00000029. What will the population be int 2006? (Round to the nearest whole number.) Type answer.

Let n(t) be the size of the population of a specific country at any time t. Suppose the maximum population size this country can possibly sustain is N 1012434. Suppose further that the rate of growth of the population at any current time t is proportional to both the current population size and the differences between the maximum population size and its current size. (Use A as the proportionality constant). If we take the initial population at time to 2.,002 to be No 10,663, and use a proportionality constant A 0.00000029. What will the population be int 2006? (Round to the nearest whole number.) Type answer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let n(t) be the size of the population of a specific country at any time t. Suppose the maximum population size this country can possibly sustain is N 1012434. Suppose further that the rate of growth of the population at any current time t is proportional to both the current population size and the difference between the maximum population size and its current size. (Use A as the proportionality constant). If we take the initial population at time to 2,002 to be No 10,663, and use a proportionality constant A 0.00000029. What will the population be in t 2006? (Round to the nearest whole number.) Type your answer
Transcribed Image Text:Let n(t) be the size of the population of a specific country at any time t. Suppose the maximum population size this country can possibly sustain is N 1012434. Suppose further that the rate of growth of the population at any current time t is proportional to both the current population size and the difference between the maximum population size and its current size. (Use A as the proportionality constant). If we take the initial population at time to 2,002 to be No 10,663, and use a proportionality constant A 0.00000029. What will the population be in t 2006? (Round to the nearest whole number.) Type your answer
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