Calculus

posted by .

1. I really don't understand what this problem is asking for
The population P(t) of fish in a lake satisfies the logistic differential equation

dP/dt = 3P - (P^2)/6000

If P(0) = 4000, what is ? Is the solution increasing or decreasing?
&& how would you find inc/dec of a solution?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. diffeq

    Suppose a species of fish in a particular lake has a population that is modeled by the logistic population model with growth rate k, carrying capacity N, and time t measured in years. Suppose the growth-rate parameter k=.3 and the …
  2. calculus

    If the fish population, p, in a lake can be modelled by the function p(t)=15(t^2+30)(t+8), where t is the time, in years , from now. How do I determine the rate of change when the population when there are 5000 fish in the lake?
  3. Calculus

    Determine the maximum sustainable yield (the maximum harvesting and still keep the population stable) of population of logistic growth is Kr/4. I know the logistic equation with constant harvest rate, h, is dx/dt=rx((1-x/k)-h) I do …
  4. Calculus

    When a reservoir is created by a dam,50 fish are introduced into the reservoir ,which has an estimated carrying capacity of 8000 fish. A logistic model of the population is P(t)= 400,000 / 50 + 795e^-0.5t , where t is measured in years. …
  5. PreCalculus

    A lake formed by a newly constructed dam is stocked with 1,000 fish. Their population is expected to increase according to the logistic curve N=30/(1+29e^-1.35t) where N is the number of fish, in thousands, expected after t years. …
  6. Trigonometry

    If P0 > c (which implies that −1 < a < 0), then the logistics function P(t) = c 1 + ae−bt decreases as t increases. Biologists often use this type of logistic function to model populations that decrease over time. …
  7. math

    If P0 > c (which implies that −1 < a < 0), then the logistics function P(t) = c 1 + ae−bt decreases as t increases. Biologists often use this type of logistic function to model populations that decrease over time. …
  8. Pleaaaaaase help with differential graph question

    Suppose further that the population’s rate of change is governed by the differential equation dP/dt = f(P) where f (P) is the function graphed. For which values of the population P does the population increase?
  9. calculus

    hi! just needed help on an FRQ for ap calculus ab. let me know if you have any questions for me. I'm just really confused as far as what I am meant to do. If you could walk me through it that would be amazing. THANKS!! A population …
  10. college algebra

    fish population: the fish population in a certain lake rises and falls according to the formula F=1000(30+17t-t^2) , Here F is the number of fish at time t, where t is measured in years since January 1, 2002, when the fish population …

More Similar Questions