23. A population grows according to the logistic growth model, with growth parameter r = 0.8. Starting with an initial population given by po = 0.3, a) Find p₁ (report your answer to 4 decimal places) = 0.168 b) Find p2 (report your answer to 4 decimal places) = 0.1118 c) Determine what percent of the habitat's carrying capacity is taken up by the 3rd generation. (Report your answer to decimal places) 0.079 * %
23. A population grows according to the logistic growth model, with growth parameter r = 0.8. Starting with an initial population given by po = 0.3, a) Find p₁ (report your answer to 4 decimal places) = 0.168 b) Find p2 (report your answer to 4 decimal places) = 0.1118 c) Determine what percent of the habitat's carrying capacity is taken up by the 3rd generation. (Report your answer to decimal places) 0.079 * %
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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Question
I have tried 8 percent, 0.080, 0.079, and many others however I am still stuck on this problem. I even tried a different method that gave me 11.82 still wrong.
Transcribed Image Text:23. A population grows according to the logistic growth model, with growth parameter r = 0.8. Starting with an initial
population given by po = 0.3,
a) Find p₁ (report your answer to 4 decimal places) = 0.168
b) Find p2 (report your answer to 4 decimal places) =
0.1118
c) Determine what percent of the habitat's carrying capacity is taken up by the 3rd generation. (Report your answer to 2
decimal places) 0.079 * %
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Follow-up Question
The answer 8.32 is wrong. I have tried the formula which has worked for all my other problems but it keeps showing up incorrect for this one. 0.8x(1-0.1118)x0.1118. 8 percent is wrong, I have also tried 0.79, 11.82, 0.080, and many others. Nobody seems to be able to help.
Transcribed Image Text:23. A population grows according to the logistic growth model, with growth parameter r = 0.8. Starting with an initial
population given by po = 0.3,
a) Find p₁ (report your answer to 4 decimal places) =
=
0.168
b) Find p2 (report your answer to 4 decimal places) =
0.1118
c) Determine what percent of the habitat's carrying capacity is taken up by the 3rd generation. (Report your answer to 2
decimal places) 8.32 X %
Solution
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