Question 1: The population size x(t) in the logistic equation dx = x(1 – 0.04x). dt is evaluated from the equation

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 56SE: Recall that the general form of a logistic equation for a population is given by P(t)=c1+aebt , such...
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Question 1: The population size x(1) in the logistic equation
dx
= x(1 – 0.04x).
dt
is evaluated from the equation
25
x(t) =
ce- + 1
] Solve the initial value problem if it is known that x(0) = 2.5.
a
b.
B What is the population after 6 years? How long will it take for the size to
triple?
Transcribed Image Text:Question 1: The population size x(1) in the logistic equation dx = x(1 – 0.04x). dt is evaluated from the equation 25 x(t) = ce- + 1 ] Solve the initial value problem if it is known that x(0) = 2.5. a b. B What is the population after 6 years? How long will it take for the size to triple?
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