Lake Kisssimmee, polluted by bacteria E. Coli, is treated with an antibacterial chemical. After t days, the number N of bacteria per millimeter of water is approximated by N(t)=2* (ln(t)/t^2+5 )for 3<=t<=10 a.) when (during this time interval 3<=t<=10) will the number of bacteria be minimal? b.) What is the minimum number of bacteria? c.) When (during this time interval 3<=t<=10) will the number of bacteria be maximal? d.) What is the maximum number of bacteria?

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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Lake Kisssimmee, polluted by bacteria E. Coli, is treated with an antibacterial chemical. After t days, the number N of bacteria per millimeter of water is approximated by N(t)=2* (ln(t)/t^2+5 )for 3<=t<=10

a.) when (during this time interval 3<=t<=10) will the number of bacteria be minimal?

b.) What is the minimum number of bacteria?

c.) When (during this time interval 3<=t<=10) will the number of bacteria be maximal?

d.) What is the maximum number of bacteria?

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