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
Vilka [71]
2 years ago
6

The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu

m number of people allowed on the beach is 1200. At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour. Whats the differential equation which can describe this situation?
Mathematics
1 answer:
Kazeer [188]2 years ago
3 0

Answer:

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

Step-by-step explanation:

The logistic differential equation is as follows:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

In this problem, we have that:

K = 1200, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.

This means that \frac{dP}{dt} = 400 when P = 200. With this, we can find r, that is, the growth rate,

So

\frac{dP}{dt} = rP(1 - \frac{P}{K})

400 = 200r(1 - \frac{200}{1200})

166.67r = 400

r = 2.4

So the differential equation is:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

You might be interested in
Given two points what’s the slope intersect form (-3, 7) and (1, -1)
UNO [17]
Change in y over the change in x
-1-7=-8
1- -3=4

-8 divided by 4

Slope=-2
5 0
2 years ago
What is the approximate distance between the points (4, 5, 4) and (3, 7, 6)?
Murrr4er [49]
A is the answer okay
4 0
3 years ago
Read 2 more answers
Find m2ABC.<br> C/ 98°<br> 5x + 2<br> 6x + 8<br> A<br> B
Feliz [49]

Answer:

2

Step-by-step explanation:

7 0
2 years ago
What is 19-h-h=-13 find h
hram777 [196]
First subtract h from h to get - 2h 
Then add 19 to both sides leaving you with 
-2h = -32 
Then divide by -2 on both sides 
H = 16 
3 0
3 years ago
In ΔIJK, i = 11 inches, j = 65 inches and k=70 inches. Find the area of AIJK to the nearest square inch.
earnstyle [38]

Answer:

330

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • 38 plus what makes 223?
    8·2 answers
  • Need help (: would love the help
    11·1 answer
  • Write the conversion factor for converting meters to centimeters.
    11·2 answers
  • Adding variables such as n to 10 as well as how to write that out
    11·1 answer
  • What is the significance of the mean of a probability​ distribution?
    12·1 answer
  • 11a + 12b = does it equal 23ab or not
    10·1 answer
  • What is 87-54? plzzzzzzzzzzzzzzzzzzzz
    9·1 answer
  • Jolly Middle School is building a park, in the shape of a square, with an area of 256 square feet. How much fence do they need t
    9·2 answers
  • Which equation has the solution x = 2?
    6·1 answer
  • PLEASE HELP!!!! Click on the picture
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!