Homework Help is Here – Start Your Trial Now!
Math
Calculus
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
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...
See similar textbooks
icon
Related questions
Question
Need help with last two blanks. The rest are correct.
According to the census, the number of inhabitants 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 tu at least four decimal places, but be careful to use the unrounded values wh 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) What population size does the exponential curve predict for the start of the year 2015? (Give your answer correct to at least one decimal place.) million people 3:35 PM
Transcribed Image Text:According to the census, the number of inhabitants 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 tu at least four decimal places, but be careful to use the unrounded values wh 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) What population size does the exponential curve predict for the start of the year 2015? (Give your answer correct to at least one decimal place.) million people 3:35 PM
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS