Question

A population P obeys the logistic model. It satisfies the equation dP/dt=(2/700)*P(7−P) for P>0 Assume that...

A population P obeys the logistic model. It satisfies the equation

dP/dt=(2/700)*P(7−P) for P>0

Assume that P(0)=2. Find P(53)

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose that the population develops according to the logistic equation dP/dt = 0.0102P - 0.00003P^2 where...
Suppose that the population develops according to the logistic equation dP/dt = 0.0102P - 0.00003P^2 where t is measured in days. What is the P value after 10 days where A = (M-P(0)) / P(0)) if the P(0) = 40? And P(0) = 20?
Suppose that a population develops according to the following logistic population model. dp/dt=0.04p-0.0001p^2 What is the...
Suppose that a population develops according to the following logistic population model. dp/dt=0.04p-0.0001p^2 What is the carrying capacity? 0.0001 400 10000 0.04 0.0025 What are the equilibrium solutions for the population model ? P = 400 only P = 0 and P = 10000 P = 0 and P = 400 P = 0 only Using the population model , for what values of P  is the population increasing? (0,400) and (0,10000) and
Suppose that the certain population obeys the logistics equation dP / dt = 0.025·P ·(1−P /...
Suppose that the certain population obeys the logistics equation dP / dt = 0.025·P ·(1−P / C) where C is the carrying capacity. If the initial population P0 = C/3, find the time t∗ at which the initial population has doubled, i.e., find time t∗ such that P(t∗) = 2P0 = 2C/3.
The population P(t) of bacteria grows according to the logistics equation dP/dt=P(12−P/4000), where t is in...
The population P(t) of bacteria grows according to the logistics equation dP/dt=P(12−P/4000), where t is in hours. It is known that P(0)=700. (1) What is the carrying capacity of the model? (2) What is the size of the bacteria population when it is having is fastest growth?
Suppose a population P(t) satisfies dP/dt = 0.8P − 0.001P2    P(0) = 50 where t is measured...
Suppose a population P(t) satisfies dP/dt = 0.8P − 0.001P2    P(0) = 50 where t is measured in years. (a) What is the carrying capacity? ______ (b) What is P'(0)? P'(0) = ______ (c) When will the population reach 50% of the carrying capacity? (Round your answer to two decimal places.) _____yr Please show all work neatly, line by line, and justify steps so that I can learn. Thank you!
Assuming that P≥0, a population is modeled by the differential equation dP/dt = 1.4P(1- P/3400) 1....
Assuming that P≥0, a population is modeled by the differential equation dP/dt = 1.4P(1- P/3400) 1. For what values of P is the population increasing? Answer (in interval notation): 2. For what values of P is the population decreasing? Answer (in interval notation): 3. What are the equilibrium solutions? Answer (separate by commas): P =
a logistic equation for a pipulation P(T) in which there is harvesting can be written as...
a logistic equation for a pipulation P(T) in which there is harvesting can be written as (dP/dt)=aP(1-(P/M))-h, P(0)=P0 (a) if a=22, M=11, h=48, what are the equilibrium solutions for the logistic equation? (b) if P(0) = 4, what will the long-term behavior of the population?
Differential Equations problem Given the equation - dP / dt = kP(M - P) - h...
Differential Equations problem Given the equation - dP / dt = kP(M - P) - h where k, h, and M are constant real numbers and P is population as a function of time t, with the initial condition P(0) = Po, find the solution for P(t). Show your work and enough steps so another student can understand the solution.
The population of the world was about 5.3 billion in 1990 (t = 0) and about...
The population of the world was about 5.3 billion in 1990 (t = 0) and about 6.1 billion in 2000 (t = 10). Assuming that the carrying capacity for the world population is 50 billion, the logistic differential equation dP =kP(50−P)dt models the population of the world P(t) (measured in billions), where t is the number of years after 1990. Solve this differential equation for P(t) and use this solution to predict what the population will be in 2050 according...
(a) The population of a city in 2003 was 755932. Assume that the city’s population is...
(a) The population of a city in 2003 was 755932. Assume that the city’s population is growing exponentially given by the following equation: dP/dt = 0.08P Find the function that satisfies the initial-value problem. After what period of time will the city’s population double? (b) Iodine-131 has a decay rate of 8.6% per day. The rate of change of an amount N is given by dN/dt = -0.086N, N(0) = N0 Find the function that satisfies the equation in terms...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT