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
icon
Related questions
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?


7. 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
700
students who have heard the rumour is given by n(t)=
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.
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?
700
600 +
500
400
300+
200+
100
6
7
8
13
NI
# People
2
3
+
4
5
# Days
9
10
Transcribed Image Text:7. 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 700 students who have heard the rumour is given by n(t)= 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. 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? 700 600 + 500 400 300+ 200+ 100 6 7 8 13 NI # People 2 3 + 4 5 # Days 9 10
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,