Question

# Required information Many fields of engineering require accurate population estimates. For example, transportation engineers might find...

Required information Many fields of engineering require accurate population estimates. For example, transportation engineers might find it necessary to determine separately the population growth trends of a city and adjacent suburb. The population of the urban area is declining with time according to Pu(t)=Pu,maxe−kut+Pu,min while the suburban population is growing, as in Ps(t)=Ps,max1+(Ps,max/P0−1)e−kst where Pu,max, ku, Ps,max, P0, and ks are empirically derived parameters. The parameter values are Pu,max = 80,000, ku = 0.05/yr, Pu,min = 110,000 people, Ps,max = 320,000 people, P0 = 10,000 people, and ks = 0.09/yr. Use the false-position method to determine the time and corresponding values of Pu(t) and Ps(t) when the suburbs are 20% larger than the city. (Round the values of time to four decimal places, and round the value of Pu(t) and Ps(t) to the nearest integers.)

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