Time, t (min) 4 8 12 16 20 28 Concentration, C (mg/L) 2.5 3.2 3.4 3.5 3.3 0.3 Data in the table for the concentration of E. coli bacteria fits the following curve: C = 0.0001 - 0.0236r + 0.5563t + 0.2045 Determine the time for the E. coli concentration to be maximum in the swimming area. Employ any suitable optimization method with a stopping criterion of 0.1%. Answer: tmax = unit 24 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The following table lists the concentration of E. coli bacteria (C, pg/L) at any given time (t, min) in a swimming
area.
Time, t (min)
4
8
12
16
20
24
28
Concentration, C (mg/L)
2.5
3.2
3.4
3.5
3.3
0.3
Data in the table for the concentration of E. coli bacteria fits the following curve:
C = 0.0001t - 0.0236t + 0.5563t + 0.2045
Determine the time for the E. coli concentration to be maximum in the swimming area. Employ any suitable
optimization method with a stopping criterion of 0.1%.
Answer:
tmax
unit
Transcribed Image Text:The following table lists the concentration of E. coli bacteria (C, pg/L) at any given time (t, min) in a swimming area. Time, t (min) 4 8 12 16 20 24 28 Concentration, C (mg/L) 2.5 3.2 3.4 3.5 3.3 0.3 Data in the table for the concentration of E. coli bacteria fits the following curve: C = 0.0001t - 0.0236t + 0.5563t + 0.2045 Determine the time for the E. coli concentration to be maximum in the swimming area. Employ any suitable optimization method with a stopping criterion of 0.1%. Answer: tmax unit
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