1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aneli [31]
3 years ago
8

A one-parameter family of solutions of the de p' = p(1 − p) is given below.

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
3 0

Answer:

A solution curve pass through the point (0,4) when c_{1} = -\frac{4}{3}.

There is not a solution curve passing through the point(0,1).

Step-by-step explanation:

We have the following solution:

P(t) = \frac{c_{1}e^{t}}{1 + c_{1}e^{t}}

Does any solution curve pass through the point (0, 4)?

We have to see if P = 4 when t = 0.

P(t) = \frac{c_{1}e^{t}}{1 + c_{1}e^{t}}

4 = \frac{c_{1}}{1 + c_{1}}

4 + 4c_{1} = c_{1}

c_{1} = -\frac{4}{3}

A solution curve pass through the point (0,4) when c_{1} = -\frac{4}{3}.

Through the point (0, 1)?

Same thing as above

P(t) = \frac{c_{1}e^{t}}{1 + c_{1}e^{t}}

1 = \frac{c_{1}}{1 + c_{1}}

1 + c_{1} = c_{1}

0c_{1} = 1

No solution.

So there is not a solution curve passing through the point(0,1).

You might be interested in
The sum of two numbers is 44. One number is 2 more than twice the other. Write a system of equations that defines this situation
hram777 [196]
System: x + y = 44; x = 2y + 2

Solve with substitution: x = 30; y = 14



x + y = 44
x = 2y + 2

Substitute 2y + 2 for x

2y + 2 + y = 44

3y + 2 = 44

Subtract 2 on both sides.

3y = 42

y = 14

Now substitute back in.

x + 14 = 44

Subtract 14 on both sides.

x = 30
8 0
2 years ago
Read 2 more answers
Write an expression that can be used to multiply 6x198 mentally
Vilka [71]
6×100+6×90+6×8 I think that is the answer
4 0
3 years ago
Read 2 more answers
The weights of the fish in a certain lake are normally distributed with a mean of 18 lb and a standard deviation of 12. if 16 fi
oee [108]
<span>The weights of the fish in a certain lake are normally distributed with a mean of 18 lb and a standard deviation of 12. </span>
3 0
3 years ago
A bag contains 5 back marbles 10 red marbles and 20 blue marble which statement is true
Galina-37 [17]
What are the statements?
4 0
2 years ago
The Hu family goes out for lunch, and the price of the meal is $59. The sales tax on the meal is 7%, and the family also leaves
Setler79 [48]
$71.98 is the total cost for the meal
  59.00
+  4.13
+  8.85
======
  71.98
7 0
3 years ago
Other questions:
  • In the figure below, triangle RPQ is similar to triangle RTS.
    14·2 answers
  • Which quadraric equation has roots -2 and 3
    14·1 answer
  • The difference between the roots of the equation 2x2−5x+c=0 is 0.25. Find c.
    5·1 answer
  • Look at mina's work below 10 7/12 - 9/12 = (10/12 + 7/12) - 9/12 = 17/12 - 9/12 = 8/12 is mina's solution reasonable. Explain
    13·1 answer
  • What is the value on n? <br> A. 85<br> B. 47<br> C. 38<br> D. 81
    11·1 answer
  • Please please please heelp
    6·2 answers
  • Triangle DEF with vértices D(2,1), E(3,5), F(6,2) is reflected acreage the x-axis to make triangle D’E’F
    6·1 answer
  • Which is the solution to the equation 2.6 a + 18.4 = 28.8? Round to the nearest tenth if necessary.
    5·2 answers
  • Hi how are you guys doing today
    7·2 answers
  • Simplify the following radical expression.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!