1. The population P of a certain village satisfies the logistic law dP 1 P 100 1 dt (10)8 where time t is measured in years. Given that the population of this village is 100,000 in 1980, determine the population as a function of time for t > 1980. In particular, answer the following questions: a)What will be the population in 2000? b)In what year does the 1980 population double?

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