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3. A model for the population P(t) in a suburb of a large city is given by the initial-value problem 5 dP P(10-- 10-7 P), P(0) = 5000, dt %3D where 1 is measured in months. What is the limiting value of the population? At what time will the popula- tion be equal to one-half of this limiting value? 4. (a) Census data for the United Staton

3. A model for the population P(t) in a suburb of a large city is given by the initial-value problem 5 dP P(10-- 10-7 P), P(0) = 5000, dt %3D where 1 is measured in months. What is the limiting value of the population? At what time will the popula- tion be equal to one-half of this limiting value? 4. (a) Census data for the United Staton

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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Solve question 3 only and plz show all steps.. solve now in one hour
st term and that are usn N(1-0.0005N), N(0) = 1. dt dịct how many supermarkets are expected to adopt the new procedure over a long period of time. By hand, sketch a solution curve of the given initial- value problem. (b) Solve the initial-value problem and then use a graph- ing utility to verify the solution curve in part (a). How many companies are expected to adopt the new technology whent 10? te 2 The number N(1) of people in a community who are exposed to a particular advertisement is governed by the logistic equation. Initially, N(0) = 500, and it is observed that N(1) = 1000. Solve for N(t) if it is pre- dicted that the limiting number of people in the commu- nity who will see the advertisement is 50,000. = 30 g 3. A model for the population P(1) in a suburb of a large city is given by the initial-value problem e the laste Moc dP 5. P(10-!- 10-7P), dt P(0) = 5000, where t is measured in months. What is the limiting value of the population? At what time will the popula- tion be equal to one-half of this limiting value? 4. It is cle that 40 4. (a) Census data for the United States between 1790 and 1950 are given in Table 3.1. Construct a logistic population model using the data from 1790, 1850, and 1910. of B.
Transcribed Image Text:st term and that are usn N(1-0.0005N), N(0) = 1. dt dịct how many supermarkets are expected to adopt the new procedure over a long period of time. By hand, sketch a solution curve of the given initial- value problem. (b) Solve the initial-value problem and then use a graph- ing utility to verify the solution curve in part (a). How many companies are expected to adopt the new technology whent 10? te 2 The number N(1) of people in a community who are exposed to a particular advertisement is governed by the logistic equation. Initially, N(0) = 500, and it is observed that N(1) = 1000. Solve for N(t) if it is pre- dicted that the limiting number of people in the commu- nity who will see the advertisement is 50,000. = 30 g 3. A model for the population P(1) in a suburb of a large city is given by the initial-value problem e the laste Moc dP 5. P(10-!- 10-7P), dt P(0) = 5000, where t is measured in months. What is the limiting value of the population? At what time will the popula- tion be equal to one-half of this limiting value? 4. It is cle that 40 4. (a) Census data for the United States between 1790 and 1950 are given in Table 3.1. Construct a logistic population model using the data from 1790, 1850, and 1910. of B.
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