Studies to fit a logistic model to the Eastern Pacific yellowfin tuna population have yielded 148 N= 1+ 3.6e-2.61t¹ 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? thousand tons K= (c) What is the optimum yield level? thousand tons (d) Use your calculator to graph N against t. 2001 180 160 140 120 N 100- 80- 60 40- 20 200- 180 160 140 120 N 100 Au 80- 60 40- 20 0 8 8 10 10 12 12 2003 180 160 140 120 N 100- 80- 60 40- 20 200- 180 160 140 120 N 100- 80 60 40- 20 0 4 8 8 10 12 10 12 (e) At what time was the population growing the most rapidly? (Round your answer to two decimal places.) yr
Studies to fit a logistic model to the Eastern Pacific yellowfin tuna population have yielded 148 N= 1+ 3.6e-2.61t¹ 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? thousand tons K= (c) What is the optimum yield level? thousand tons (d) Use your calculator to graph N against t. 2001 180 160 140 120 N 100- 80- 60 40- 20 200- 180 160 140 120 N 100 Au 80- 60 40- 20 0 8 8 10 10 12 12 2003 180 160 140 120 N 100- 80- 60 40- 20 200- 180 160 140 120 N 100- 80 60 40- 20 0 4 8 8 10 12 10 12 (e) At what time was the population growing the most rapidly? (Round your answer to two decimal places.) yr
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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Transcribed Image Text:Studies to fit a logistic model to the Eastern Pacific yellowfin tuna population have yielded
148
N =
1+ 3.6e-2.61r
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?
r=
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 N against t.
200
180
160
140
120
N 100
60
40
20
200
180
160
140
120
N 100
80
40
20
1
1
8
8
10 12
10 12
200
180
160
140
120
N 100
60
40
200
180
160
140
120
N 100
80
40
20
1
1
8
10
12
10 12
(e) At what time was the population growing the most rapidly? (Round your answer to two decimal places.)
yr
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