Explanation Given information: The Ricker equation: x t + 1 = c x t e − x t was introduced in Exercise 1.6.32. x 0 = 0.9 , c = 20 Calculation: Given difference equation x t + 1 = c x t e − x t Where x 0 = 0.9 , c = 20 , Let us calculate some terms of the sequence. x 0 = 0.9 x 1 = 20 x 0 e − x 0 ≈ 20 ( 0.9 ) e − 0.9 ≈ 7.3182 x 2 = 20 x 1 e − x 0 ≈ 20 ( 7.3182 ) e − 7.3182 ≈ 0.0971 x 3 = 20 x 2 e − x 2 ≈ 20 ( 0.0971 ) e − 0.0971 ≈ 1.7620 x 4 = 20 x 3 e − x 3 ≈ 20 ( 1

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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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 2.1, Problem 58E

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To plot: enough terms of the Ricker equation to see how the terms behave and estimate the limit and then, assuming the limit exists, calculate its exact value. If not, describe the behavior of the terms

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Chapter 2.1, Problem 57E

Chapter 2.1, Problem 59E

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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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To plot: enough terms of the Ricker equation to see how the terms behave and estimate the limit and then, assuming the limit exists, calculate its exact value. If not, describe the behavior of the terms

Solution Summary: The author analyzes the Ricker equation and calculates its value. The sequence is oscillatory and appears divergent.

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To plot: enough terms of the Ricker equation to see how the terms behave and estimate the limit and then, assuming the limit exists, calculate its exact value. If not, describe the behavior of the terms

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Chapter 2 Solutions