Calculus: Early Transcendentals (3rd Edition)

3rd Edition

ISBN: 9780134763644

Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher: PEARSON

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Textbook Question

Chapter 9, Problem 26RE

Logistic growth The population of a rabbit community is governed by the initial value problem

P ′ ( t ) = 0.2 P ( 1 − P 1200 ) , P ( 0 ) = 50.

a. Find the equilibrium solutions.

b. Find the population, for all times t ≥ 0.

c. What is the carrying capacity of the population?

d. What is the population when the growth rate is a maximum?

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Chapter 9, Problem 25RE

Chapter 9, Problem 27RE

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Chapter 9 Solutions

Calculus: Early Transcendentals (3rd Edition)

Ch. 9.1 - What are the orders of the equations in Example 2?...Ch. 9.1 - What is the solution of the initial value problem...Ch. 9.1 - Solve the initial value problem in Example 4a with...Ch. 9.1 - Suppose the initial conditions in Example 5a are...Ch. 9.1 - In Example 7, if the height function were given by...Ch. 9.1 - Consider the differential equation y(t) + 9y(t) =...Ch. 9.1 - If the general solution of a differential equation...Ch. 9.1 - Does the function y(t) = 2t satisfy the...Ch. 9.1 - Does the function y(t) = 6e3t satisfy the initial...Ch. 9.1 - The solution to the initial value problem y(t) = 2...

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