25. The table below shows the rabbit population on a certain island where t is the number of years beginning with year 2010. (a) Determine the relative growth rate, b) write the general equation for the population P(t) c) estimate the population in 2020 d. How many years will it take for the population to double? Year Population 2010 1500 2011 1577 2012 1658 2013 1743 2014 1832 2015 1926

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Chapter2: Second-order Linear Odes
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HELLO TUTOR, THIS PROBLEM WAS IN THE SUBJECT OF DIFFERENTIAL EQUATION OR DIFFERNTIAL CALCULUS. I NEED THE ANSWER IN 30 mins. - 1 hour. THANKS AND I HOPE YOU GET IT RIGHT. 

25. The table below shows the rabbit population on a certain island where t is the number of years
beginning with year 2010. (a) Determine the relative growth rate, b) write the general equation for
the population P(t) c) estimate the population in 2020 d. How many years will it take for the
population to double?
Year
Population
2010
1500
2011
1577
2012
1658
2013
1743
2014
1832
2015
1926
26. At 2:00PM. The temperature of a tank of water is 200°F. at 2:30PM its temperature is 160 °F.
Assuming the surrounding is maintained at 80°F, what is the temperature at 3:00PM. B) what time
will the temperature be by 100°F?
27. In year 1931, the population of Sri Lanka is 24M. in 1945, its population rise to 82M. Assuming that
the rate of increase is proportional to the number of inhabitants, what was the population in year
1943? What will be the population in 1975?
Transcribed Image Text:25. The table below shows the rabbit population on a certain island where t is the number of years beginning with year 2010. (a) Determine the relative growth rate, b) write the general equation for the population P(t) c) estimate the population in 2020 d. How many years will it take for the population to double? Year Population 2010 1500 2011 1577 2012 1658 2013 1743 2014 1832 2015 1926 26. At 2:00PM. The temperature of a tank of water is 200°F. at 2:30PM its temperature is 160 °F. Assuming the surrounding is maintained at 80°F, what is the temperature at 3:00PM. B) what time will the temperature be by 100°F? 27. In year 1931, the population of Sri Lanka is 24M. in 1945, its population rise to 82M. Assuming that the rate of increase is proportional to the number of inhabitants, what was the population in year 1943? What will be the population in 1975?
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