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
icon
Related questions
Question
100%

Need some help with number 8

Thank You

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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,