A 8-year projection of population trends suggests that t years from now, the population of a certain community will be P(t) = t³ + 15t² + 21t+ 60 thousand people. (a) At what time during the 8-year period will the population be growing most rapidly? 6 (b) At what time during the 8-year period will the population be growing least rapidly? (c) At what time during the 8-year period will the rate of population growth be growing most rapidly?
A 8-year projection of population trends suggests that t years from now, the population of a certain community will be P(t) = t³ + 15t² + 21t+ 60 thousand people. (a) At what time during the 8-year period will the population be growing most rapidly? 6 (b) At what time during the 8-year period will the population be growing least rapidly? (c) At what time during the 8-year period will the rate of population growth be growing most rapidly?
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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![A 8-year projection of population trends suggests that t years from now, the population of a certain community will be
P(t) = t³ + 15t² + 21t+ 60
thousand people.
(a) At what time during the 8-year period will the population be growing most rapidly?
6
(b) At what time during the 8-year period will the population be growing least rapidly?
(c) At what time during the 8-year period will the rate of population growth be growing most rapidly?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41c4a4a3-0105-4167-b545-c16e09348d84%2F41202f7c-9c6f-4be7-8462-e23375e7cf60%2Fc3tijja_processed.png&w=3840&q=75)
Transcribed Image Text:A 8-year projection of population trends suggests that t years from now, the population of a certain community will be
P(t) = t³ + 15t² + 21t+ 60
thousand people.
(a) At what time during the 8-year period will the population be growing most rapidly?
6
(b) At what time during the 8-year period will the population be growing least rapidly?
(c) At what time during the 8-year period will the rate of population growth be growing most rapidly?
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