Explanation Given information: For the Years 1790-1860: A logistic function was used to model the US population. Calculation: The function we were given is P = 192 48 e ( − 0.0317 t ) + 1 Years 1790-1940 are given for t = 0 to t = 150. For t = 0 , P = 192 48 × 1 + 1 = 192 49 = 3.92 t = 150 , P = 192 48 e ( − 0.0317 * 150 ) + 1 = 192 1.4132 = 135.86 Similarly, substitute the values to get the following table: Years Predicted Population Actual Population Percentage Difference % 1790 3.92 3.93 0.25 1800 5.34 5.3 0.75 1810 7

Applied Calculus, 6e WileyPLUS + Loose-leaf

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ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Chapter 4.7, Problem 13P

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Predict the US population in each of the census years from 1790-1940. Compare the predicted and the actual values.

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Chapter 4.7, Problem 12P

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Applied Calculus, 6e WileyPLUS + Loose-leaf

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Predict the US population in each of the census years from 1790-1940. Compare the predicted and the actual values.

Solution Summary: The author explains how a logistic function was used to model the US population for the years 1790-1940.

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Predict the US population in each of the census years from 1790-1940. Compare the predicted and the actual values.

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Chapter 4 Solutions