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Population Growth Beginning in the next section we will

A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill ISBN: 9781111827052 44

Solution for problem 51E Chapter 1.2

A First Course in Differential Equations with Modeling Applications | 10th Edition

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A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill

A First Course in Differential Equations with Modeling Applications | 10th Edition

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Problem 51E

Population Growth Beginning in the next section we will see that differential equations can be used to describe or model many different physical systems. In this problem suppose that a model of the growing population of a small community is given by the initial-value problem where P is the number of individuals in the community and time t is measured in years. How fast—that is, at what rate—is the population increasing at t = 0? How fast is the population increasing when the population is 500?

Step-by-Step Solution:
Step 1 of 3

Solution:-Step1Given thatWe have to find how fast and at what rate the population increasing at t = 0 and how fast is the population increasing when the population is 500Step2We haveThe initial-value problemWhere time t is measured in years and P is the number of individuals in the community.Step3Now=Rate at which population increases at “t “ time.At t=0The rate of growth of population is = = 0.15 = 15+20=35Therefore, the population increasing at t = 0 is 35.Step4When the population is 500The rate of growth of population is = = 75+20=95Therefore, the population increasing when the population is 500 is 95.

Step 2 of 3

Chapter 1.2, Problem 51E is Solved
Step 3 of 3

Textbook: A First Course in Differential Equations with Modeling Applications
Edition: 10
Author: Dennis G. Zill
ISBN: 9781111827052

This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10. Since the solution to 51E from 1.2 chapter was answered, more than 259 students have viewed the full step-by-step answer. This full solution covers the following key subjects: population, model, community, increasing, fast. This expansive textbook survival guide covers 109 chapters, and 4053 solutions. The full step-by-step solution to problem: 51E from chapter: 1.2 was answered by , our top Calculus solution expert on 07/17/17, 09:41AM. The answer to “Population Growth Beginning in the next section we will see that differential equations can be used to describe or model many different physical systems. In this problem suppose that a model of the growing population of a small community is given by the initial-value problem where P is the number of individuals in the community and time t is measured in years. How fast—that is, at what rate—is the population increasing at t = 0? How fast is the population increasing when the population is 500?” is broken down into a number of easy to follow steps, and 86 words. A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052.

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