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The Gompertz population model was described in Exercise 26 ofSection 2.3. The population

Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden ISBN: 9781305253667 457

Solution for problem 6 Chapter 5.8

Numerical Analysis | 10th Edition

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Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden

Numerical Analysis | 10th Edition

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Problem 6

The Gompertz population model was described in Exercise 26 ofSection 2.3. The population is given by P{t) = PLe-ce ~ k ' where Pi, c, and A: > 0 are constants and P{t) isthe population attime t. P(t) satisfies the differential equation P'(t) = k fin PL - In P{t)] P{t). a. Using / = 0 as 1960 and the data given in the table on page 103, approximate Pi, c, and k. b. Apply the Extrapolation method with TOL I to the differential equation to approximate / , (1990), / > (2000), and / , (2010). c. Compare the approximationsto the values ofthe Gompertz function and to the actual population.

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Chapter 5.8, Problem 6 is Solved
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Textbook: Numerical Analysis
Edition: 10
Author: Richard L. Burden J. Douglas Faires, Annette M. Burden
ISBN: 9781305253667

The full step-by-step solution to problem: 6 from chapter: 5.8 was answered by , our top Math solution expert on 03/16/18, 03:24PM. The answer to “The Gompertz population model was described in Exercise 26 ofSection 2.3. The population is given by P{t) = PLe-ce ~ k ' where Pi, c, and A: > 0 are constants and P{t) isthe population attime t. P(t) satisfies the differential equation P'(t) = k fin PL - In P{t)] P{t). a. Using / = 0 as 1960 and the data given in the table on page 103, approximate Pi, c, and k. b. Apply the Extrapolation method with TOL I to the differential equation to approximate / , (1990), / > (2000), and / , (2010). c. Compare the approximationsto the values ofthe Gompertz function and to the actual population.” is broken down into a number of easy to follow steps, and 111 words. Numerical Analysis was written by and is associated to the ISBN: 9781305253667. This textbook survival guide was created for the textbook: Numerical Analysis, edition: 10. This full solution covers the following key subjects: . This expansive textbook survival guide covers 76 chapters, and 1204 solutions. Since the solution to 6 from 5.8 chapter was answered, more than 218 students have viewed the full step-by-step answer.

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The Gompertz population model was described in Exercise 26 ofSection 2.3. The population

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