-) The logistic equation is ay dt =ay-by² and its solution is y(t) = a -at de +b a) The US Population grew from 313,873685 in 2012 to 316,128,839 in 2014. What parameters of the logistic equation a, b, and d are consistent with these data? NOTE: This data underspecify the You are free to m assumptions inclu ones that make th problem much eas b) Based on the model you created in (a), what is the steady state US Population we expect to observe in the future?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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dy
~) The logistic equation is = ay – by² and its solution is y(t):
dt
a
de at +b
a) The US Population grew from 313,873685 in 2012 to 316,128,839 in 2014. What
parameters of the logistic equation a, b, and d are consistent with these data?
c) Based on the model you created in (a), what is/was the inflection point?
NOTE: This data may
underspecify the model.
You are free to make
assumptions including
ones that make the
problem much easier.
b) Based on the model you created in (a), what is the steady state US Population we
expect to observe in the future?
Transcribed Image Text:dy ~) The logistic equation is = ay – by² and its solution is y(t): dt a de at +b a) The US Population grew from 313,873685 in 2012 to 316,128,839 in 2014. What parameters of the logistic equation a, b, and d are consistent with these data? c) Based on the model you created in (a), what is/was the inflection point? NOTE: This data may underspecify the model. You are free to make assumptions including ones that make the problem much easier. b) Based on the model you created in (a), what is the steady state US Population we expect to observe in the future?
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