In Problems 5–10, for each logistic function P, identify (a) the carrying capacity M. 6) the maximum population growth rate k. (e) the initial population Po = P(0). A the population P when P is growing most rapidly. beninnolab sani %3D 5500 120,000 5. P(t) = 6. P(t) = %3D 1+99e-0.02t 1+4999e-0.3t 660 6800 7. P(t) = 8. P(t)= %3D 1+32e-0.05t 1+ 16e-0.2t l
In Problems 5–10, for each logistic function P, identify (a) the carrying capacity M. 6) the maximum population growth rate k. (e) the initial population Po = P(0). A the population P when P is growing most rapidly. beninnolab sani %3D 5500 120,000 5. P(t) = 6. P(t) = %3D 1+99e-0.02t 1+4999e-0.3t 660 6800 7. P(t) = 8. P(t)= %3D 1+32e-0.05t 1+ 16e-0.2t l
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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![In Problems 5-10, for each logistic function P, identify
(a) the carrying capacity M.
) the maximum population growth rate k.
(c) the initial population Po = P().
(d) the population P when P is growing most rapidly.
t beninneab
5500
120,000
5. P(t) =
6. P(t)=
%3D
1+ 99e-0.02t
1+ 4999e-0.3t
660
6800
7. P(t)
8. P(t):
%3D
1+ 32e-0.05t
1+ 16e-0.2t
150
8000
9. P(t)=
10. P(t) =
%3D
1+ 2e-0.2r
1+ 63e-0.04t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbba91e5f-c1e4-4666-8346-2553a0293e03%2F8ffc5daa-7dfd-47e3-9028-70b5182ed960%2F093i1g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In Problems 5-10, for each logistic function P, identify
(a) the carrying capacity M.
) the maximum population growth rate k.
(c) the initial population Po = P().
(d) the population P when P is growing most rapidly.
t beninneab
5500
120,000
5. P(t) =
6. P(t)=
%3D
1+ 99e-0.02t
1+ 4999e-0.3t
660
6800
7. P(t)
8. P(t):
%3D
1+ 32e-0.05t
1+ 16e-0.2t
150
8000
9. P(t)=
10. P(t) =
%3D
1+ 2e-0.2r
1+ 63e-0.04t
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