dp ne logistic equation for the population (in thousands) of a certain species is given by 9p - 4p Complete parts (a) through (d) below dt (b) If the initial population is 2900 (that is, p(0) = 2.9], what can be said about the limiting population lim p(0? If p(0)= 2.9. then lim p(t)= The population will (c) If p(0) = 0.1, what can be said about the limiting population lim p(t)? 1++ 00 If p(0) = 0.1, then lim p(t)= The population will + 00 (d) Can a population of 2900 ever decline to 100? possible for a population of 2900 to decline to 100. One solution of the given ditferential equation is the horzontal line p(l) = If the population were to decline from 2900 to 100, the corresponding solution curve would V that horizontal line. This would V what is quaranteed by the existence-criqueness thodrem,

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 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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dp
he logistic equation for the population (in thousands) of a certain species is given by
= 9p - 4p. Complete parts (a) through (d) below.
dt
....
a) Sketch the direction field by using either a computer software package or the method of isoclines. Choose the correct sketch below.
OA.
OB.
OC.
AP
Ap
(b) If the initial population is 2900 [that is, p(0) = 2.9], what can be said about the limiting population lim p(t)?
t oo
Transcribed Image Text:dp he logistic equation for the population (in thousands) of a certain species is given by = 9p - 4p. Complete parts (a) through (d) below. dt .... a) Sketch the direction field by using either a computer software package or the method of isoclines. Choose the correct sketch below. OA. OB. OC. AP Ap (b) If the initial population is 2900 [that is, p(0) = 2.9], what can be said about the limiting population lim p(t)? t oo
dp
The logistic equation for the population (in thousands) of a certain species is given by
9p- 4p Complete parts (a) through (d) below
dt
(b) If the initial population is 2900 [that is, p(0) = 2.9], what can be said about the limiting population lim p(0?
If p(0) = 2.9, then lim p(t) = The population will
t++ 00
(c) If p(0) = 0.1, what can be said about the limiting population lim p(t)?
1++ 00
If p(0) = 0.1, then lim p(t)= The population will
t+ 00
(d) Can a population of 2900 ever decline to 100?
V possible for a population of 2900 to decline to 100. One solution of the given differential equation is the horizontal line p(l) - If the population were to decline from 2900 to 100, the corresponding solution
curve would
V that horizontal line. This would
V what is guaranteed by the existence-uniqueness thedrem.
Transcribed Image Text:dp The logistic equation for the population (in thousands) of a certain species is given by 9p- 4p Complete parts (a) through (d) below dt (b) If the initial population is 2900 [that is, p(0) = 2.9], what can be said about the limiting population lim p(0? If p(0) = 2.9, then lim p(t) = The population will t++ 00 (c) If p(0) = 0.1, what can be said about the limiting population lim p(t)? 1++ 00 If p(0) = 0.1, then lim p(t)= The population will t+ 00 (d) Can a population of 2900 ever decline to 100? V possible for a population of 2900 to decline to 100. One solution of the given differential equation is the horizontal line p(l) - If the population were to decline from 2900 to 100, the corresponding solution curve would V that horizontal line. This would V what is guaranteed by the existence-uniqueness thedrem.
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