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# Solution: In a fish farm, a population of fish is introduced into a pond and harvested ISBN: 9781305270336 484

## Solution for problem 38 Chapter 3.7

Single Variable Calculus: Early Transcendentals | 8th Edition

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Problem 38

In a fish farm, a population of fish is introduced into a pond and harvested regularly. A model for the rate of change of the fish population is given by the equation dP dt r0S1 2 Pstd Pc DPstd 2 Pstd where r0 is the birth rate of the fish, Pc is the maximum population that the pond can sustain (called the carrying capacity), and is the percentage of the population that is harvested. (a) What value of dPydt corresponds to a stable population? (b) If the pond can sustain 10,000 fish, the birth rate is 5%, and the harvesting rate is 4%, find the stable population level. (c) What happens if is raised to 5%?

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Chapter 17 Notes (pages 900­914) Investments in Debt Securities  Every company has a different motivation to invest in debt or equity securities o Earn a high rate of return o Secure certain operating or financing arrangements with another company  To provide useful information, companies account for investments based on the type of security (debt or equity) and their intent with respect to the investment Debt Investment Classifications  Represent creditor relationship with another entity  These include: gov. securities, municipal securities, corporate bonds, convertible debt, and commercial paper  A security is a share, participation, or other investment in property or in an enterprise of the is

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##### ISBN: 9781305270336

This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. This full solution covers the following key subjects: . This expansive textbook survival guide covers 95 chapters, and 5427 solutions. The full step-by-step solution to problem: 38 from chapter: 3.7 was answered by , our top Calculus solution expert on 03/19/18, 03:29PM. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. Since the solution to 38 from 3.7 chapter was answered, more than 228 students have viewed the full step-by-step answer. The answer to “In a fish farm, a population of fish is introduced into a pond and harvested regularly. A model for the rate of change of the fish population is given by the equation dP dt r0S1 2 Pstd Pc DPstd 2 Pstd where r0 is the birth rate of the fish, Pc is the maximum population that the pond can sustain (called the carrying capacity), and is the percentage of the population that is harvested. (a) What value of dPydt corresponds to a stable population? (b) If the pond can sustain 10,000 fish, the birth rate is 5%, and the harvesting rate is 4%, find the stable population level. (c) What happens if is raised to 5%?” is broken down into a number of easy to follow steps, and 116 words.

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