A lake holds a population of 600,000 trout. The natural growth rate of the trout population is 5%. Fishing removes 35,000 trout each year from the lake. Set up a differential equation modeling the fish population as a function of time. Solve it to find out if and when the fish population will be completely depleted. (Compute your answer to 3 decimal places.)

A lake holds a population of 600,000 trout. The natural growth rate of the trout population is 5%. Fishing removes 35,000 trout each year from the lake. Set up a differential equation modeling the fish population as a function of time. Solve it to find out if and when the fish population will be completely depleted. (Compute your answer to 3 decimal places.)

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

A lake holds a population of 600,000 trout. The natural growth rate of the trout population is 5%. Fishing
removes 35,000 trout each year from the lake. Set up a differential equation modeling the fish population
as a function of time. Solve it to find out if and when the fish population will be completely depleted.
(Compute your answer to 3 decimal places.)

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