(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.

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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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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Biocalculus

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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