The populations of two neighboring villages A and B vary according to the med sinusoidal function which gives the population P of the village as a function of time t, in years, since the year 2000. In the year 2000, the two villages had 3000 and 2500 inhabitants respectively. The graph on the right shows the progression of the population of each village. Village A reaches its maximum population of 4125 after 2 years and village B reaches its minimal population of 1000 after 3 years. yA 1000 What will be the difference in population between these two villages in the year 2005? 1

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