Suppose that the growth of a population y = y(t) is givenby the logistic equationy =
Chapter 8, Problem 56(choose chapter or problem)
Suppose that the growth of a population \(y=y(t)\) is given by the logistic equation
\(y=\frac{1000}{1+999 e^{-0.9 t}}\)
(a) What is the population at time \(t=0\)?
(b) What is the carrying capacity L?
(c) What is the constant k?
(d) When does the population reach 75% of the carrying capacity?
(e) Find an initial-value problem whose solution is y(t).
Equation Transcription:
Text Transcription:
y=y(t)
y=1000/1+999e^-0.9t
t=0
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