14th Edition

ISBN: 9780134507132

Author: Asmar

Publisher: YUZU

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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 differentia…

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Textbook Question

Chapter 5.4, Problem 9E

Spread of News A news item is spread by word of mouth to a potential audience of 10 , 000 people. After t days,

f ( t ) = 10 , 000 1 + 50 e − 0.4 t

people will have heard the news. The graph of this function is shown in Fig. 7.

Chapter 5.4, Problem 9E, Spread of News A news item is spread by word of mouth to a potential audience of 10,000 people. , example 1

Chapter 5.4, Problem 9E, Spread of News A news item is spread by word of mouth to a potential audience of 10,000 people. , example 2

Figure 7

a. Approximately how many people will have heard the news after 7 days?

b. At approximately what rate will the news spread after 14 days?

c. Approximately when will 7000 people have heard the news?

d. Approximately when will the news spread at the rate of 600 people per day?

e. When will the news spread at the greatest rate?

f. Use equations (9) and (10) to determine the differential equation satisfied by f ( t ) .

g. At what rate will the news spread when half the potential audience has heard the news?

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Chapter 5.4, Problem 8E

Chapter 5.4, Problem 10E

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