Question: Population A country is in a state of civil war. As a consequence of deaths and people fleeing the country, its population is decreasing at a rate of \(D(x)\) people per month. The rate of increase of the population as a result of births and immigration is \(I(x)\) people per month. The variable \(x\) is the number of months since the beginning of the year. Graphs of \(D\) and are shown in the figure. Region has area 3690 , and region has area $9720 .$

1. Interpret the area of in context.
2. Interpret the area of in context.
   
3. Find the change in population from the beginning of January through the end of April.
4. Explain why the answer to part is not the sum of the areas of the two regions.

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