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(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 = 148 | thousand tons (c) What is the optimum yield level? | thousand tons

(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 = 148 | thousand tons (c) What is the optimum yield level? | thousand tons

Advanced Engineering Mathematics
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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Studies to fit a logistic model to the Eastern Pacific yellowfin tuna population have yielded 148 N = 1 + 3.6e-2.61t 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? r = per yr (b) What is the carrying capacity K for the Eastern Pacific yellowfin tuna? K = 148 | thousand tons (c) What is the optimum yield level? thousand tons (d) Use Desmos to graph N against t. 200 200 180 180 160 160 140 140 120 120 N 100 - N 100 80 80 60- 60 40 40 20- 20 louise murrayA lamy
Transcribed Image Text:Studies to fit a logistic model to the Eastern Pacific yellowfin tuna population have yielded 148 N = 1 + 3.6e-2.61t 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? r = per yr (b) What is the carrying capacity K for the Eastern Pacific yellowfin tuna? K = 148 | thousand tons (c) What is the optimum yield level? thousand tons (d) Use Desmos to graph N against t. 200 200 180 180 160 160 140 140 120 120 N 100 - N 100 80 80 60- 60 40 40 20- 20 louise murrayA lamy
(d) Use Desmos to graph N against t. 200 200 180 180 160 160 140 140 120 120 N 100 N 100 80 80 60- 60 40- 40 20 20 6 8 10 12 6 8 10 12 200 200 180 180 160 160 140 140 120 120 N 100 N 100 80 80 60- 60- 40- 40- 20- 20 4 6 8. 10 12 8. 10 12 (e) At what time was the population growing the most rapidly? (Round your answer to two decimal places.) yr 2. 2.
Transcribed Image Text:(d) Use Desmos to graph N against t. 200 200 180 180 160 160 140 140 120 120 N 100 N 100 80 80 60- 60 40- 40 20 20 6 8 10 12 6 8 10 12 200 200 180 180 160 160 140 140 120 120 N 100 N 100 80 80 60- 60- 40- 40- 20- 20 4 6 8. 10 12 8. 10 12 (e) At what time was the population growing the most rapidly? (Round your answer to two decimal places.) yr 2. 2.
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