Below are data on the population of a species of moths that inhabit an island and breed annually (then die). Suppose the population model has the form P₁ = (1+r) Pn-1+#₂ where n is measured in years after 2000. That is, Po= population in 2000, P=population in 2001, etc. Year 2000 2001 2002 (a) You are to determine the updating function for this population using the data in the table above. Which of the following equations are valid for this model and can be used to find the parameters? Select all correct choices. 7800 = 9960-r+μ 7800=6000-r+fl 9960=(1+r)7800 +μ 6000 = (1+r)7800+μ T moths 6000 7800 9960 " (b) Now use the equations to solve for the two paramaters. 7800=(1+r)6000+μ 7800 = (1+r)9960+μ
Below are data on the population of a species of moths that inhabit an island and breed annually (then die). Suppose the population model has the form P₁ = (1+r) Pn-1+#₂ where n is measured in years after 2000. That is, Po= population in 2000, P=population in 2001, etc. Year 2000 2001 2002 (a) You are to determine the updating function for this population using the data in the table above. Which of the following equations are valid for this model and can be used to find the parameters? Select all correct choices. 7800 = 9960-r+μ 7800=6000-r+fl 9960=(1+r)7800 +μ 6000 = (1+r)7800+μ T moths 6000 7800 9960 " (b) Now use the equations to solve for the two paramaters. 7800=(1+r)6000+μ 7800 = (1+r)9960+μ
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:Below are data on the population of a species of moths that inhabit an island and breed annually (then
die). Suppose the population model has the form
P₁ = (1 + r) Pn-1+fl,
where 72 is measured in years after 2000. That is, P = population in 2000, P₁=population in 2001, etc.
Year
2000
2001
2002
(a) You are to determine the updating function for this population using the data in the table above. Which
of the following equations are valid for this model and can be used to find the parameters?
Select all correct choices.
r=
moths
6000
7800
9960
"
(b) Now use the equations to solve for the two paramaters.
7800 = 9960-r+fl
7800 6000 r+H
9960= (1+r)7800+μ
6000= (1+r)7800+μ
7800 = (1+r)6000+ μ
7800 = (1+r)9960+ μ
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