According to the census, the number of inhabltants of the U.S. over the period 1790 to 1850 was as follows, Population (millions) Year 1790 3.929 1800 5.308 1810 7.240 1820 9.638 1830 12.866 1840 17.069 1850 23.192 Over this period, the population grew roughly exponentially. Taking t = 0 to correspond to the start of the year 1790, we can approximate the population size by the exponential curve N(t) = No ekt for sorme No and k. Find the best fitting values of No and k by taking natural logs of the population sizes and using linear regression. (Give your answers Correct lu at least four decimal places, but be careful to use the unrounded you calculate the answers to the last two parts of this problem!) No = 3 9639 million people k = 0294 per year According to the exponential curve, in what year would the population be predicted to reach one hundred and ten million people? (Give a caleridar year. For example: 1851)

According to the census, the number of inhabltants of the U.S. over the period 1790 to 1850 was as follows, Population (millions) Year 1790 3.929 1800 5.308 1810 7.240 1820 9.638 1830 12.866 1840 17.069 1850 23.192 Over this period, the population grew roughly exponentially. Taking t = 0 to correspond to the start of the year 1790, we can approximate the population size by the exponential curve N(t) = No ekt for sorme No and k. Find the best fitting values of No and k by taking natural logs of the population sizes and using linear regression. (Give your answers Correct lu at least four decimal places, but be careful to use the unrounded you calculate the answers to the last two parts of this problem!) No = 3 9639 million people k = 0294 per year According to the exponential curve, in what year would the population be predicted to reach one hundred and ten million people? (Give a caleridar year. For example: 1851)

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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