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In: Advanced Math

Population Exponential Model: Suppose that the growth rate of the population of city X is proportional...

Population Exponential Model:

Suppose that the growth rate of the population of city X is proportional to the population of X. We have the following data: the population in 1945 was 36,000 and the population in 1990 was 63,000. Establish and solve an Initial Value Problem to express the population of X as a function of time, graph this function and calculate an estimate of the population in the year 2040.

Solve the problem using the parameters from the beggining to the end.

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