(a) Explanation Given information: x t + 1 = 2.5 x t ( 1 − x t ) , x 0 = 0.5 Calculation: Here logistic equation is given x t + 1 = 2.5 x t ( 1 − x t ) , x 0 = 0.5 Find the terms of Equation x 0 + 1 = 2.5 x 0 ( 1 − x 0 ) substitute t = 0 , x 1 = 2.5 × 0.5 ( 1 − 0.5 ) x 1 = 0.625 x 1 + 1 = 2.5 x 1 ( 1 − x 1 ) substitute t = 1 , x 2 = 2.5 × 0.625 ( 1 − 0.625 ) x 2 = 0 (b) To determine To plot: enough terms of the logistic difference equation to see the behavior of the terms.

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

1st Edition

ISBN: 9781305779037

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Chapter 2, Problem 8E

(a)

To determine

To plot: enough terms of the logistic difference equation to see the behavior of the terms.

(b)

To determine

To plot: enough terms of the logistic difference equation to see the behavior of the terms.

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Chapter 2, Problem 7E

Chapter 2, Problem 9E

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Chapter 2 Solutions

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

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Prob. 9CS

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To plot: enough terms of the logistic difference equation to see the behavior of the terms.

Solution Summary: The author illustrates how the logistic difference equation is converging to 0.6 when the value of t is increasing.

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To plot: enough terms of the logistic difference equation to see the behavior of the terms.

To plot: enough terms of the logistic difference equation to see the behavior of the terms.

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Chapter 2 Solutions