The data in the table in Fig. 2.1.7 are given for a certain population P(t) that satisfies
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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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Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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