The data in the table in Fig. 2.1.7 are given for a certain population P(t) that satisfies

Question:

The data in the table in Fig. 2.1.7 are given for a certain population P(t) that satisfies the logistic equation in (3).

(a) What is the limiting population M? (Suggestion: Use the approximation

with h = 1 to estimate the values of P'(t) when P = 25.00 and when P = 47.54. Then substitute these values in the logistic equation and solve for k and M.)

(b) Use the values of k and M found in part (a) to determine when P = 75. (Suggestion: Take t = 0 to correspond to the year 1965.)

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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Question Posted: Jun 27, 2023 09:31 AM

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The data in the table in Fig. 2.1.7 are given for a certain population P(t) that satisfies

Question:

P' (t) P(t + h) - P(t-h) 2h

Step by Step Answer:

a b We find that P 75 when t 50ln 9 110 that is in 2075 AD Followin...View the full answer

Differential Equations And Linear Algebra

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