A second study of the country in Exercise 54 indicates that natural restrictive forces are at work

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A second study of the country in Exercise 54 indicates that natural restrictive forces are at work that make the actual rate of growth


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instead of the exponential rate P'1(t) = 10e0.02t. If this rate is correct, how much smaller will the population be in the year 2015 than if the exponential rate were correct?



Data from Exercises 54


The population of a third-world country grows exponentially at the unsustainable rate of P'1(t) = 10e0.02t thousand people per year where t is the number of years after 2005. A study indicates that if certain socioeconomic changes are instituted in this country, then the population will instead grow at the restricted rate P'2(t) = 10 + 0.02t + 0.002t2 thousand people per year. How much smaller will the population of this country be in the year 2015 if the changes are made than if they are not?

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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