I really need to for help please everyone i begging u all.
I really need to for help please everyone i begging u all. Suppose that the certain...
dP [20pt] 7. Suppose that the certain population obeys the logistics equation = 0.025 - P. (1 - dt where C is the carrying capacity. If the initial population Po= C/3, find the time t* at which the initial population has doubled, i.e., find time tº such that P(t) = 2P = 2C/3.
POPULATION MODELS: PLEASE ANSWSER ASAP: ALL 3 AND WILL RATE U ASAP. The logistic growth model describes population growth when resources are constrained. It is an extension to the exponential growth model that includes an additional term introducing the carrying capacity of the habitat. The differential equation for this model is: dP/dt=kP(t)(1-P(t)/M) Where P(t) is the population (or population density) at time t, k > 0 is a growth constant, and M is the carrying capacity of the habitat. This...
(1 point) Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 5500. The number of fish doubled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation dP dt - 2P (1-1) determine the constant k, and then solve the equation to find an expression for the size of the population after t years. k= 0.7985...
The growth of a certain bacteria in a reactor... 3. The growth of a certain bacteria in a reactor is assumed to be governed by the logistic equation: d P dt where P is the population in millions and t is the time in days. Recall that M is the carrying capacity of the reactor and k is a constant that depends on the growth rate (a) Suppose that the carrying capacity of the reactor is 10 million bacteria, and...
i really need help everyone thank you all dat The solution of the differential equation ? + ta + x 12 is a) arctan(-) = In +C b) arctan (™) = Iné + c d) aretan () = Inr+C c) arctan 15 = Int+C e) None of these - 12
Problem #6: A model for a certain population P(1) is given by the initial value problem dP-H10-3-10-13 P), dt P(0)= 100000000, where t is measured in months (a) What is the limiting value of the population'? (b) At what time (i.e., after how many months) will the populaton be equal to one half of the limiting value in (a)? Do not round any numbers for this part. You work should be all symbolic.) Problem #6(a): 10000000000 Enter your answer symbolically,...
I need help with exercise #2. Your help will be really appreciated and rated. MAXWELL'S EQUATION I. Maxwell's Equation: Our first (of mony) distribution functions. Very important A. The "Maxwell-Boltzman speed distribution" gives the speed distribution, fiv), of particles confined to NN()d, which a volume, V, and in thermal equilibrium at a temperature, T. () is the number of particles moving within dv of a speed, v Distributions of this type can be considered as the product of three terms...
3. (17 points) The growth in a population of bacteria follows a logistic growth model given by the differential equation dP 0.05P - 0.00001p? dt with units of number of bacteria and hours. (a) (3 points) What is the carrying capacity of this population? (b) (9 points) Given an initial population of 1000 bacteria, how long will it take for the population to double? (c) (5 points) What is the rate of change (per hour) in the size of the...
Hi, I'm stuck. HELP!!!!! 0/2.2 points 21. Previous Answers SCalcET8 9.4.501.XPM My Notes Ask Your Teacher The population assume that the carrying capacity for world population is 140 billion. (Assume that the difference in birth and death rates is 20 million/year f the world was about 5.3 billion in 1990. Birth rates in the 1990s ranged from 35 to 40 million per year and death rates ranged from 15 to 20 million per year. Let's 0.02 billion/year.) the initial (a)...
Suppose that a population of hacteria grows according to the logistic differential equation dP =0.01P-0.0002P2 dt where Pis the population measured in thousands and t is time measured in days. Logistic growth differential equations are often quite difficult to solve. Instead, you will analyze its direction field to acquire infom ation about the solutions to this differential equation. a) Calculate the maximum population M that the sumounding environment can austain. (Note this is also calked the "canying capacity"). Hint: Rewrite...