Task 1 Many fields of engineering require accurate population estimates. For example, transport engineers might find it necessary to determine separately the population growth trends of a city and an adjacent suburb. Given that the population of a city is declining with time according to Pc(t) = Pc,ende-ket + Pc,start While the population of an adjacent suburb is growing according to: Ps,end Ps(t) = 1 + (Psend -1) e-ks Ps,start The following data is recorded in 2016: Pc,end = 75,000, ke=0.045/year, Pc,start=100,000, Ps,end-300,000, Ps,start=10,000, ks=0.08/year. A. Plot the root-finding equation that you need to solve. B. Use the bisection method to determine the time (to the nearest year) and corresponding values of Pc and P, when the population of the suburb is 20% larger than the city. Use the plot from part A to determine the lower and upper limits. Use a precision of 1000 people. C. Mark the root as a red asterisk on the figure produced in part A. D. Use fprintf to print a statement concerning the year in which the suburb population is 20% larger than the city, and the populations of the city and suburbs. Example below. In year ???, the suburbs are 20% larger than the city. The city population is ??? and the suburb population is ???.
Task 1 Many fields of engineering require accurate population estimates. For example, transport engineers might find it necessary to determine separately the population growth trends of a city and an adjacent suburb. Given that the population of a city is declining with time according to Pc(t) = Pc,ende-ket + Pc,start While the population of an adjacent suburb is growing according to: Ps,end Ps(t) = 1 + (Psend -1) e-ks Ps,start The following data is recorded in 2016: Pc,end = 75,000, ke=0.045/year, Pc,start=100,000, Ps,end-300,000, Ps,start=10,000, ks=0.08/year. A. Plot the root-finding equation that you need to solve. B. Use the bisection method to determine the time (to the nearest year) and corresponding values of Pc and P, when the population of the suburb is 20% larger than the city. Use the plot from part A to determine the lower and upper limits. Use a precision of 1000 people. C. Mark the root as a red asterisk on the figure produced in part A. D. Use fprintf to print a statement concerning the year in which the suburb population is 20% larger than the city, and the populations of the city and suburbs. Example below. In year ???, the suburbs are 20% larger than the city. The city population is ??? and the suburb population is ???.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Transcribed Image Text:Task 1
Many fields of engineering require accurate population estimates. For example, transport engineers
might find it necessary to determine separately the population growth trends of a city and an
adjacent suburb. Given that the population of a city is declining with time according to
Pc(t)
Pc,ende-ket
+ Pc,start
While the population of an adjacent suburb is growing according to:
Ps,end
Ps(t)
=
=
1+
Ps,end
(P5 -1) e-ks
s,start
The following data is recorded in 2016: Pc,end= 75,000, ke=0.045/year, Pc,start=100,000, Ps,end=300,000,
Ps,start=10,000, ks=0.08/year.
A. Plot the root-finding equation that you need to solve.
B.
Use the bisection method to determine the time (to the nearest year) and corresponding
values of Pc and P, when the population of the suburb is 20% larger than the city. Use the plot
from part A to determine the lower and upper limits. Use a precision of 1000 people.
C. Mark the root as a red asterisk on the figure produced in part A.
D. Use fprintf to print a statement concerning the year in which the suburb population is 20%
larger than the city, and the populations of the city and suburbs. Example below.
In year ???, the suburbs are 20% larger than the city.
The city population is ??? and the suburb population is ???.
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