solve only d) and options for box area) decrease without limitb) increase without limitc) increase and level offd) decrease and level off dpConsider the differential equation=p(p-1)(2-p) for the population p (in thousands) of a certain species at time t. Complete parts (a) through (e) below.(a) Sketch the direction field by using either a computer software package or the method of isoclines. Choose the correct sketch below.B.ApOA.APQ(b) If the initial population is 3000 [that is, p(0) = 3], what can be said about the limiting population lim p(t)?t→ +∞oIf p(0) = 3, then lim p(t)= 2. The population will decrease and level off.t→ +∞o(c) If p(0) = 1.8, what can be said about the limiting population lim p(t)?t→ +00If p(0) = 1.8, then lim p(t) = 2. The population will increase and level off.(d) If p(0) = 0.4, what can be said about the limiting population lim p(t)?t→ +∞oIf p(0) = 0.4, then lim p(t)=. The population willt→ +∞oIIIIIQCMO C.AP1171717Q✔

dp Consider the differential equation=p(p-1)(2-p) for the population p (in thousands) of a certain species at time t. Complete parts (a) through (e) below. dt (a) Sketch the direction field by using either a computer software package or the method of isoclines. Choose the correct sketch below. A. AF Q If p(0) = 3, then lim p(t)= 2. The population will decrease and level off. 1→ +00 (b) If the initial population is 3000 [that is, p(0) = 3], what can be said about the limiting population lim p(t)? (c) If p(0) = 1.8, what can be said about the limiting population lim p(t)? If p(0) = 1.8, then lim p(t) = 2. The population will increase and level off. 1→ +00 (d) If p(0) = 0.4, what can be said about the limiting population lim p(t)? B If p(0) = 0.4, then lim p(t)=. The population will 1→ +00 AF C Q Q O C. Ap Q

dp Consider the differential equation=p(p-1)(2-p) for the population p (in thousands) of a certain species at time t. Complete parts (a) through (e) below. dt (a) Sketch the direction field by using either a computer software package or the method of isoclines. Choose the correct sketch below. A. AF Q If p(0) = 3, then lim p(t)= 2. The population will decrease and level off. 1→ +00 (b) If the initial population is 3000 [that is, p(0) = 3], what can be said about the limiting population lim p(t)? (c) If p(0) = 1.8, what can be said about the limiting population lim p(t)? If p(0) = 1.8, then lim p(t) = 2. The population will increase and level off. 1→ +00 (d) If p(0) = 0.4, what can be said about the limiting population lim p(t)? B If p(0) = 0.4, then lim p(t)=. The population will 1→ +00 AF C Q Q O C. Ap Q

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

See similar textbooks

Related questions

Q: Direction: differentiate the following: 5x 4. tan 5. у -sin(6x'-1)

A: 4. Let y=tan5x4 ⇒dydx=ddxtan5x4⇒dydx=sec25x4×ddx5x4⇒dydx=sec25x4×54dxdx⇒dydx=54sec25x4

Q: 4. Let V be a finite-dimensional vector space and let S be a subset of V which spans V. Then S a.…

A: Given that, V be a finite dimensional vector space and S be a subset of V which spans V. We have to…

Q: Va2–x2 ху(х + у)dydx

A: To evaluate the given double integral.

Q: LOVE is a rectangle. Find x LV and EO. Given: LV = 3x + 10, EO = 5x - 6. Find X, LV and EO. L E V

Q: Find the solution of the given IVP y" – 6y + 15y = 2 sin(3t), y (0) = -1, y (0) = -4 %3D The Laplace…

Q: How many reams of bond paper can you buy for (x* + x3 - 7x2 - x + 6) pesos if one ream costs (x + 3)…

Q: 2. A particle is moving along a horizontal line. The position of the particle from the origin after…

Q: ☺ Sketch the araph of each inequality: a.) 4x +3y&12 b.) y z 12x-41 e) (x-2)? +ly-)e<lo

Q: A bacteria culture is known to grow at a rate proportional to the amount present. After one hour,…

Q: 3. Determine if the given function is continuous on the given point and intervals 1 x<0 f(x) = Osx<5…

Q: Çompute (f.g)(x) and (g.f)(x) for f(x) = 4x – 1, g(x) = v6 + 7x %3D %3D

A: Explanation of the answer is as follows

Q: 5. The following data are the ages of diabetic patient of a certain hospital. A are the ages of nine…

Q: 1. Which among the following functions have an inverse? (a) f(x) = 2x2 – 5 (b) g(x) = 3x -8 (c) h(x)…

Q: Pattern D. 4, 12, 36, 108, 324,... This pattern has initial value P It has recursive form P₁= P₁- t…

Q: The probabilities of a machine manufacturing 0,1,2,3,4, or defective machines parts in one day are…

A: Given information: X P(X) 0 0.75 1 0.17 2 0.04 3 0.025 4 0.01 5 0.005 Variance:…

Q: The number of computers sold per day at a local computer store, along with its corresponding…

A: Solution

Q: 6. Let U = {2,4,5,6,8,9,10} Y={y|y= 0.5U} Enumerate: X = {x|x² 13x + 42 = 0} Z = {z | Z EZ, 4 ≤ z ≤…

Q: x3 + 3x2 - 2x - 17 dx 29. x - 2

A: topic - indefinite integral

Question

solve only d) and options for box are

a) decrease without limit

b) increase without limit

c) increase and level off

d) decrease and level off

dp
Consider the differential equation=p(p-1)(2-p) for the population p (in thousands) of a certain species at time t. Complete parts (a) through (e) below.
(a) Sketch the direction field by using either a computer software package or the method of isoclines. Choose the correct sketch below.
B.
Ap
OA.
AP
Q
(b) If the initial population is 3000 [that is, p(0) = 3], what can be said about the limiting population lim p(t)?
t→ +∞o
If p(0) = 3, then lim p(t)= 2. The population will decrease and level off.
t→ +∞o
(c) If p(0) = 1.8, what can be said about the limiting population lim p(t)?
t→ +00
If p(0) = 1.8, then lim p(t) = 2. The population will increase and level off.
(d) If p(0) = 0.4, what can be said about the limiting population lim p(t)?
t→ +∞o
If p(0) = 0.4, then lim p(t)=. The population will
t→ +∞o
IIIII
Q
C
M
O C.
AP
1171717
Q
✔

Expert Solution

Step 1

First using the phase portrait, we will find out stability of the fixed points. Then for different initial conditions, we will draw some solution trajectories and phase line.