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The birth rate in a certain city is described by the following function 6.92-0.01t^2 The city's death rate is given by 5+0.02t^2 Here,tis measured in
The birth rate in a certain city is described by the following function
6.92-0.01t^2
The city's death rate is given by
5+0.02t^2
Here,tis measured in years, andt= 0 corresponds to the start of the year 1990.
The birth and death rates are measured in thousands of births or deaths per year.
At the start of 1990, the population of the city is 450 thousand.
Enter all the following answers correct to two decimal places.
- Calculate the total number of deaths over the same period Number of deaths =thousand.
- What is the population of the city at the start of year 2000? Population :thousand.
- Consideringjusttheperiodfromthestartof1990tothestartof2000,overwhatintervalisthepopulationincreasing?(Enteryourdatesasyears,notthenumberofyearssince1990.)
- Overwhatintervalisthepopulationdecreasing?
- Calculate the area between the curvesy=b(t) andy=d(t) fortbetween 0 and 10. Area :
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