answer only d options for the boxes with arrows are1st box : Yes / No2nd box : Is / Is not3rd box : Always be below / Always be above / pass through4th box : Contradict / Match dpThe logistic equation for the population (in thousands) of a certain species is given by= 5p-4p. Complete parts (a) through (d).(a) Sketch the direction field by using either a computer software package or the method of isoclines.Choose the correct answer below.O A.QQ(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) = 1.7, then lim p(t) = 1.25. The population will decrease and level off.t→ +∞0(c) If p(0) = 0.2, what can be said about the limiting population lim p(t)?t→ +00If p(0) = 0.2, then lim p(t)= 1.25. The population will increase and level off.t→ +∞0B.(d) Can a population of 1700 ever decline to 200?O✔CO C.APQQitpossible for a population of 1700 to decline to 200. Two solutions of the given differential equation are the horizontal lines p(t) = 0 and p(t)=. If the population were to decline from 1700 to 200, the corresponding solution curve wouldlatter horizontal line. This wouldwhat is guaranteed by the existence-uniqueness theorem.▼ the

For the given differential equation dpdt=5p-4p2 to answer the d) part of the question.

Can a population of 1700 ever decline to 200? possible for a population of 1700 to decline to 200. Two solutions of the given differential equation are the horizontal lines p(t)= 0 and p(t)= If the population were to decline from 1700 to 200, the corresponding solution curve would er horizontal line. This would what is guaranteed by the existence-uniqueness theorem.

Can a population of 1700 ever decline to 200? possible for a population of 1700 to decline to 200. Two solutions of the given differential equation are the horizontal lines p(t)= 0 and p(t)= If the population were to decline from 1700 to 200, the corresponding solution curve would er horizontal line. This would what is guaranteed by the existence-uniqueness theorem.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 31E

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Question

answer only d

options for the boxes with arrows are

1st box : Yes / No

2nd box : Is / Is not

3rd box : Always be below / Always be above / pass through

4th box : Contradict / Match

dp
The logistic equation for the population (in thousands) of a certain species is given by
= 5p-4p. Complete parts (a) through (d).
(a) Sketch the direction field by using either a computer software package or the method of isoclines.
Choose the correct answer below.
O 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)?
If p(0) = 1.7, then lim p(t) = 1.25. The population will decrease and level off.
t→ +∞0
(c) If p(0) = 0.2, what can be said about the limiting population lim p(t)?
t→ +00
If p(0) = 0.2, then lim p(t)= 1.25. The population will increase and level off.
t→ +∞0
B.
(d) Can a population of 1700 ever decline to 200?
O
✔
C
O C.
AP
Q
Q
it
possible for a population of 1700 to decline to 200. Two solutions of the given differential equation are the horizontal lines p(t) = 0 and p(t)=. If the population were to decline from 1700 to 200, the corresponding solution curve would
latter horizontal line. This would
what is guaranteed by the existence-uniqueness theorem.
▼ the

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