8. A jealous student started a malicious rumor on an isolated college campus of 5000 students. The number of people who know of the rumor within t days after it was started is given by the function 5000 1+ ae-kt ° R(t) = Half the students had known of the rumor within ten days. (a) Find a and k. (b) How many students would have known of the rumor within 15 days after it started? (c) How many students altogether will know the rumor?
8. A jealous student started a malicious rumor on an isolated college campus of 5000 students. The number of people who know of the rumor within t days after it was started is given by the function 5000 1+ ae-kt ° R(t) = Half the students had known of the rumor within ten days. (a) Find a and k. (b) How many students would have known of the rumor within 15 days after it started? (c) How many students altogether will know the rumor?
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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![8. A jealous student started a malicious rumor on an isolated college campus of 5000
students. The number of people who know of the rumor within i days after it was
started is given by the function
5000
R(t)
1+ ae-t°
Half the students had known of the rumor within ten days.
(a) Find a and k.
(b) How many students would have known of the rumor within 15 days after it
started?
(c) How many students altogether will know the rumor?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff89f5582-9fdc-4ede-82bb-28c01b8ca835%2Fa9583114-a631-4d02-b7ed-699d07ce7b24%2Fquvtjrl_processed.png&w=3840&q=75)
Transcribed Image Text:8. A jealous student started a malicious rumor on an isolated college campus of 5000
students. The number of people who know of the rumor within i days after it was
started is given by the function
5000
R(t)
1+ ae-t°
Half the students had known of the rumor within ten days.
(a) Find a and k.
(b) How many students would have known of the rumor within 15 days after it
started?
(c) How many students altogether will know the rumor?
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