solve via matlab

(b) 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) = Pumaxe Kut + Pu,min while the suburban population is growing, as in Ps(t) = Ps.max Po where Pumax, ku, Ps.max. Po, and ks = empirically derived parameters. Determine the time and corresponding values of P..(t) and P (t) when the suburbs are 30% larger than the city. The parameter values are Pumax = 80000, ky = 0.05/yr, Pu.min = 110000 people, Ps,max = 320000 people, Po= 10,000 people, and ks = 0.09/yr. To obtain your solutions, use (a) graphical, and (b) false-position methods