rumour quickly spreads among the students at school. After days, the number of students who have heard the rumour is given by n(t)= 700 1+34e a) What is the initial number of people who started the rumour? 1 b) How many people know about the rumour after 3 days? 1 c) Determine n'(5). Explain the meaning of the result.
rumour quickly spreads among the students at school. After days, the number of students who have heard the rumour is given by n(t)= 700 1+34e a) What is the initial number of people who started the rumour? 1 b) How many people know about the rumour after 3 days? 1 c) Determine n'(5). Explain the meaning of the result.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Cindy and her friends start a rumour about Matt and write it on Facebook. The
rumour quickly spreads among the students at school. After t days, the number of
students who have heard the rumour is given by n(t) 700/ 1+34e^-1
a) What is the initial number of people who started the rumour?
b) How many people know about the rumour after 3 days?
c) Determine n'(5). Explain the meaning of the result.
d) Graph the function over the first 10 days is shown.
After how many days is the rumour spreading the fastest? Why might the rate of
change slow down after this point?
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