A population is modeled by dP = 0.1P dt 50 For simplicity, let us say that there is no "minus" population, that is, P(t) >0 for all t>0. Answer the following questions. (a) For what values of P is the population increasing? (b) For what values of-P is the population decreasing? (c) What are the equilibrnim solutions? (d) If P(0) = 20, determine the solution to the initial value problem. %3D

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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3. A population is modeled by
dP
= 0.1P
dt
50
For simplicity, let us say that there is no "minus" population, that is, P(t) >0 for all t> 0.
Answer the following questions.
(a) For what values of P is the population increasing?
(b) For what values of P is the population decreasing?
(c) What are the equilibrim solutions?
(d) If P(0)
= 20, determine the solution to the initial value problem.
(If you print this quiz to solve and if you need additional space to write, you can continue to write your
solution on the back.)
Transcribed Image Text:3. A population is modeled by dP = 0.1P dt 50 For simplicity, let us say that there is no "minus" population, that is, P(t) >0 for all t> 0. Answer the following questions. (a) For what values of P is the population increasing? (b) For what values of P is the population decreasing? (c) What are the equilibrim solutions? (d) If P(0) = 20, determine the solution to the initial value problem. (If you print this quiz to solve and if you need additional space to write, you can continue to write your solution on the back.)
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