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
Solve the equation -4(8+y)=90.
Delvig [45]

Answer:

-32+y+90

y=122

Step-by-step explanation:

8 0
3 years ago
The number of square units in the base area of a prism is greater than the number of cubic units in the volume of the prism. Is
Triss [41]

Answer:

3

Step-by-step explanation:

1+1+1=3

7 0
3 years ago
Help with formulas and explain
Vlad [161]

A. T. S.A =2* AREA OF TRIANGLE +PREIMETER*5.56

VOLUME=AREA OF *LENGTH[ 5.56]

B. T. S. A=πR{R + SLANT HIGHT }

VOLUME=1/3*π*R*HIGHT{ 7 }

volume of a sphere is 3 by 4 by R cube and surface area of a sphere is 4 Pi R Square

6 0
3 years ago
In an experiment, some diseased mice were randomly divided into two groups. One group was given an experimental drug, and one wa
damaskus [11]

Answer:

D)Yes, because the difference in the means in the actual experiment was more than two standard deviations from 0.

Step-by-step explanation:

We will test the hypothesis on the difference between means.

We have a sample 1 with mean M1=18.2 (drug group) and a sample 2 with mean M2=15.9 (no-drug group).

Then, the difference between means is:

M_d=M_1-M_2=18.2-15.9=2.3

If the standard deviation of the differences of the sample means of the two groups was 1.1 days, the t-statistic can be calculated as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{2.3-(0)}{1.1}=2.09

The critical value for a two tailed test with confidence of 95% (level of significance of 0.05) is t=z=1.96, assuming a large sample.

This is approximately 2 standards deviation (z=2).

The test statistict=2.09 is bigger than the critical value and lies in the rejection region, so the effect is significant. The null hypothesis would be rejected: the difference between means is significant.

4 0
3 years ago
If abc=dbc, then b is the midpoint of ad
Verdich [7]
The answer is true for apex 
6 0
3 years ago
Other questions:
  • 2000 dollars and grows at 4.5% every year. what would be the money after 13 years
    10·1 answer
  • Which shows a perfect square trinomial? A 50 y squared minus 4 x squared B 100 minus 36 x squared y squared C 16 x squared + 24
    12·2 answers
  • identify the coordinates four points on the line with each given slope and y -intercept slop=-1 y-intercept= 8
    7·1 answer
  • The two lines graphed
    8·2 answers
  • As a person cycling increases speed, the rate of calorie burned, distance traveled, and energy expended also increase. Which of
    5·1 answer
  • 'A certain number divided by four, added to twice that number equals 12', all written in an equation​
    12·1 answer
  • Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of pape
    11·2 answers
  • Explain what operation can be used to solve the equation 3.5n=10.5. What is the value of n
    12·1 answer
  • The calculate the mean,____ all the numbers in the data set and then ____
    14·2 answers
  • If you toss a fair coin the probability of getting "heads" is 0.5 .John tossed the coin 28 times how many times would you expect
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!