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
Vaselesa [24]
3 years ago
10

The population of Cook island has always been modeled by a logistic equation P′=????(????−P) with growth rate ????=4 and carryin

g capacity ????=9000 with time t in years. Starting in 2000, 4 citizens of Cook island have left every year to become a mathematician, never to return.
What is the new differential equation modeling the population of the island P?
Mathematics
1 answer:
REY [17]3 years ago
4 0

Answer:

P = Ke^{(ln Pr^{c}-t) }

Step-by-step explanation:

The differential equation is modeled as follows:

P = r (C-P)

then

\frac{dP}{dt}  = r(C-P)

arranging gives:

dP = Cr - Pr

Arranging the equation gives:

\frac{dP}{P}  = \frac{C}{P}r - 1

solving:

P = e^{(lnPr^{c} -t)} K\\P = Ke^{(lnPr^{c} -t) }

You might be interested in
How do you say i dont like you without making it sound offensive?. -.
Kitty [74]

Answer:

they will hurt your fellings

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Ben said the graph of the inequality
Ksivusya [100]

Answer:

Ben is incorrect

The solutions are x>-3 and x < 3

Step-by-step explanation:

we have

-x^{2} +9 > 0

Multiply by -1 both sides

x^{2} -9 < 0

Adds 9 both sides

x^{2} < 9

The solutions are

x < 3

and

-x < 3 -----> Multiply by -1 both sides ----> x > -3

therefore

The solution is the interval (-3,3)

Ben is incorrect

7 0
4 years ago
OMG PLEASE HELP MEEEEEEEEEEEE!!!!!!!!!
Andreas93 [3]

Answer:

I think it is 123 for number 9 i can't see, the other problems

Step-by-step explanation:

7 0
3 years ago
To which subsets of the real numbers does 22 belong to?
Vedmedyk [2.9K]
Whole number and integer
8 0
3 years ago
Read 2 more answers
What is the probability from a two way table ?
vladimir1956 [14]
You may remember the two way relative frequency table where each entry in the table is divided by a total from the table. When each cell is divided by the table total (in this case 240), you get a two way whole table relative frequency. (There are also row and column relative frequency tables.)
4 0
3 years ago
Other questions:
  • 800 is 10 times as much ad
    5·2 answers
  • Lisa made $286 for 13 hours of work. at the same rate, how many hours would she have to work to make $242 ?
    14·1 answer
  • What is the equivalent of -3 (x+2)+(x-3)x
    13·2 answers
  • Which set of three angles could represent the interior angles of a triangle? 26 degrees, 51 degrees, 103 degrees 29 degrees, 54
    11·2 answers
  • in a certain population, 11% of people are left-handed. Suppose that you plan to randomly select 100 people and ask each person
    14·1 answer
  • The area of the shaded section is 63 square units. What is the value of x ? Help
    10·2 answers
  • Simplify the polynomial below<br><br> (a^3 + 4a^2 − 7) + (3a^3 − 2a^2 + 1)
    10·1 answer
  • The following equation is often referred to as Euler's Formula; e^pii+1=0 Use what you know about complex numbers to show that t
    9·1 answer
  • Mrs anglin is driving her car at a constant speed of 90 miles in 2 hours select three statements that are true based on her spee
    14·1 answer
  • Which polynomial is prime? x2 – 36 x2 + 16 x2 – 7x + 12 x2 – x – 20
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!