dp The logistic equation for the population (in thousands) of a certain species is given by t 3p²-2p³ Complete parts (a) through (d) below. = (a) Sketch the direction field by using either a computer software package or the method of isoclines. Choose the correct sketch below. O B. A. Q Q ✔ (b) If the initial population is 1700 [that is, p(0) = 1.7], what can be said about the limiting population lim p(t)? 1+ +00 If p(0) = 1.7, then lim p(t)= The population will (c) If p(0) = 1.4, what can be said about the limiting population lim p(t)? 14+00 it line. This would If p(0) = 1.4, then lim p(t) = The population will 1- +∞ (d) Can a population of 1400 ever increase to 1700? Ap Q Q If possible for a population of 1400 to increase to 1700. One solution of the given differential equation is the horizontal line p(t) = If the population were f what is guaranteed by the existence-uniqueness theorem. O C. the population were to increase from 1400 to 1700, the corresponding solution curve would that horizontal
dp The logistic equation for the population (in thousands) of a certain species is given by t 3p²-2p³ Complete parts (a) through (d) below. = (a) Sketch the direction field by using either a computer software package or the method of isoclines. Choose the correct sketch below. O B. A. Q Q ✔ (b) If the initial population is 1700 [that is, p(0) = 1.7], what can be said about the limiting population lim p(t)? 1+ +00 If p(0) = 1.7, then lim p(t)= The population will (c) If p(0) = 1.4, what can be said about the limiting population lim p(t)? 14+00 it line. This would If p(0) = 1.4, then lim p(t) = The population will 1- +∞ (d) Can a population of 1400 ever increase to 1700? Ap Q Q If possible for a population of 1400 to increase to 1700. One solution of the given differential equation is the horizontal line p(t) = If the population were f what is guaranteed by the existence-uniqueness theorem. O C. the population were to increase from 1400 to 1700, the corresponding solution curve would that horizontal
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The logistic equation for the population (in thousands) of a certain species is given by
dp
dt
= 3p²-2p³. Complete parts (a) through (d) below.
(a) Sketch the direction field by using either a computer software package or the method of isoclines. Choose the correct sketch below.
O A.
Ap
LLL
I
Q
Q
If p(0) = 1.7, then lim p(t) =. The population will
(c) If p(0) = 1.4, what can be said about the limiting population lim p(t)?
t→ +∞0
(b) If the initial population is 1700 [that is, p(0) = 1.7], what can be said about the limiting population lim p(t)?
If p(0) = 1.4, then lim p(t) = . The population will
t→ +∞o
(d) Can a population of 1400 ever increase to 1700?
it
line. This would
O B.
| |
11
Q
Q
...
possible for a population of 1400 to increase to 1700. One solution of the given differential equation is the horizontal line p(t) =
what is guaranteed by the existence-uniqueness theorem.
O C.
Ⓡ
Q
If the population were to increase from 1400 to 1700, the corresponding solution curve would
that horizontal](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc45acf51-cefc-42df-83e4-535a253da58c%2F02ca12ba-8cca-4c2a-bac4-3d8a63025bfe%2Fced8dq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The logistic equation for the population (in thousands) of a certain species is given by
dp
dt
= 3p²-2p³. Complete parts (a) through (d) below.
(a) Sketch the direction field by using either a computer software package or the method of isoclines. Choose the correct sketch below.
O A.
Ap
LLL
I
Q
Q
If p(0) = 1.7, then lim p(t) =. The population will
(c) If p(0) = 1.4, what can be said about the limiting population lim p(t)?
t→ +∞0
(b) If the initial population is 1700 [that is, p(0) = 1.7], what can be said about the limiting population lim p(t)?
If p(0) = 1.4, then lim p(t) = . The population will
t→ +∞o
(d) Can a population of 1400 ever increase to 1700?
it
line. This would
O B.
| |
11
Q
Q
...
possible for a population of 1400 to increase to 1700. One solution of the given differential equation is the horizontal line p(t) =
what is guaranteed by the existence-uniqueness theorem.
O C.
Ⓡ
Q
If the population were to increase from 1400 to 1700, the corresponding solution curve would
that horizontal
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