Studies to fit a logistic model to the Eastern Pacific yellowfin tuna population have yielded 148 1+ 3.6e where t is measured in years and N is measured in thousands of tons of fish. (a) what is the r value for the Eastern Pacific yellowfin tuna? per yr

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1 t

Studies to fit a logistic model to the Eastern Pacific yellowfin tuna population have yielded
148
N=
1+ 3.6e2.6lt
where t is measured in years and N is measured in thousands of tons of fish.t
(a) What is the r value for the Eastern Pacific yellowfin tuna?
per yr
(b) What is the carrying capacity K for the Eastern Pacific yellowfin tuna?
K =
thousand tons
(c) What is the optimum yield level?
|thousand tons
(d) Use your calculator to graph Nagainst t.
200
200
180
180
160
160
140
140
120
120
N100
N 100
60
60
40
40
20
20
10
12
10
12
200
200
180
180
160
160
140
140
120
120
N 100
N100
80
60
40
40
20
20
10
12
10
12
e) At what time was the population growing the most rapidly? (Round your answer to two decimal places.)
уг
unsm
Transcribed Image Text:Studies to fit a logistic model to the Eastern Pacific yellowfin tuna population have yielded 148 N= 1+ 3.6e2.6lt where t is measured in years and N is measured in thousands of tons of fish.t (a) What is the r value for the Eastern Pacific yellowfin tuna? per yr (b) What is the carrying capacity K for the Eastern Pacific yellowfin tuna? K = thousand tons (c) What is the optimum yield level? |thousand tons (d) Use your calculator to graph Nagainst t. 200 200 180 180 160 160 140 140 120 120 N100 N 100 60 60 40 40 20 20 10 12 10 12 200 200 180 180 160 160 140 140 120 120 N 100 N100 80 60 40 40 20 20 10 12 10 12 e) At what time was the population growing the most rapidly? (Round your answer to two decimal places.) уг unsm
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