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Solved: PROBLEM 4E(a) Census data for the United States

A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill ISBN: 9781111827052 44

Solution for problem 4E Chapter 3.2

A First Course in Differential Equations with Modeling Applications | 10th Edition

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A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill

A First Course in Differential Equations with Modeling Applications | 10th Edition

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Problem 4E

PROBLEM 4E

(a) Census data for the United States between 1790 and 1950 are given in Table 3.1. Construct a logistic population model using the data from 1790, 1850, and 1910.

(b) Construct a table comparing actual census population with the population predicted by the model in part (a). Compute the error and the percentage error for each entry pair.

Step-by-Step Solution:

Solution

Step 1:

(a)we have given a census data for the United States between 1790 and 1950 and we have to construct a logistic population model using data from 1790,1850,1910.

We have

With (year 1790)

 (year 1850)

 (year 1910)

Put in equation to get we get,

Let then becomes

Step 2 of 2

Chapter 3.2, Problem 4E is Solved
Textbook: A First Course in Differential Equations with Modeling Applications
Edition: 10
Author: Dennis G. Zill
ISBN: 9781111827052

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Solved: PROBLEM 4E(a) Census data for the United States