Homework Answers
Add Answer to:
Suppose that a population develops according to the following logistic population model. dP = 0.03P-0.00015P2 dt...
3 pts) Suppose that a population develops according to the logistic equation dP dt = 0.15P...
3 pts) Suppose that a population develops according to the logistic equation dP dt = 0.15P - 0.0006P2 where t is measured in weeks. a) What is the carriying capacity? b) Is the solution increasing or decreasing when P is between() and the carriying capacity? C) Is the solution increasing or decreasing when P is greater than the carriying capacity? Note: You can earn partial credit on this problem.
2. Suppose a population P(t) satisfies the logistic differential equation dP dt = 0.1P 1 −...
2. Suppose a population P(t) satisfies the logistic differential
equation dP dt = 0.1P 1 − P 2000 P(0) = 100 Find the following: a)
P(20) b) When will the population reach 1200?
2. Suppose a population P(t) satisfies the logistic differential equation 2P = 0.1P (1–2000) = 0.1P | P(0) = 100 2000 Find the following: a) P(20) b) When will the population reach 1200?
Suppose that a population of hacteria grows according to the logistic differential equation dP =0.01P-0.0002P2 dt...
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...
Logistic Population Growth
I do not understand how to work this type of problem. The logistic growth model is dP/dt = kP(1-P/M) or dP/dt = (k/M)P(M-P) where P is population, k is aconstant growth rate and M is the carrying capacity. The question I'm having trouble with is dP/dt = 0.04P - 0.0004P^2 and I am supposed to find k and M, I have noidea where to even start
A population P obeys the logistic model. It satisfies the equation dp 2 dt = 500...
A population P obeys the logistic model. It satisfies the equation dp 2 dt = 500 P(5 – P) for P >0. (a) The population is increasing when - Preview <P < 5 Preview (b) The population is decreasing when P > 5 Preview (c) Assume that P(0) = 4. Find P(40). P(40) = 1.93 * Preview
POPULATION MODELS: PLEASE ANSWSER ASAP: ALL 3 AND WILL RATE U ASAP. The logistic growth model...
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...
3. (17 points) The growth in a population of bacteria follows a logistic growth model given...
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...
1. A population grows according to a logistic model, with carrying capacity of 10,000, and an...
1. A population grows according to a logistic model, with carrying capacity of 10,000, and an initial population of 1000. (a) Determine the constant B. (b) The population grew to 2500 in one year. Find the growth constant k (c) Write down the particular solution with the values of k, B found in (a) and (b). What will the population be in another three years (that is, when t-4)?
Suppose that the rate of change of a population is given by: dP dt = kP(M-P) a) What model of pop...
Suppose that the rate of change of a population is given by: dP dt = kP(M-P) a) What model of population growth is this ? b) What does it predict for the growth of the population as the population increases ? c) Sketch what happens to the population if the initial population, Po, were such that G) 0< Po< M/2, (ii) M/2 < PoM and (iii) Po > M (all on the same graph of population as a function of...
Logistic model
A population grows according to a logistic model with a carrying capacity of 10000. An initial population of 100 grows to 1000 in 100 hours. How long will it take for an initial population of 100 to grow to 9000.
3 pts) Suppose that a population develops according to the logistic equation dP dt = 0.15P - 0.0006P2 where t is measured in weeks. a) What is the carriying capacity? b) Is the solution increasing or decreasing when P is between() and the carriying capacity? C) Is the solution increasing or decreasing when P is greater than the carriying capacity? Note: You can earn partial credit on this problem.
2. Suppose a population P(t) satisfies the logistic differential
equation dP dt = 0.1P 1 − P 2000 P(0) = 100 Find the following: a)
P(20) b) When will the population reach 1200?
2. Suppose a population P(t) satisfies the logistic differential equation 2P = 0.1P (1–2000) = 0.1P | P(0) = 100 2000 Find the following: a) P(20) b) When will the population reach 1200?
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...
A population P obeys the logistic model. It satisfies the equation dp 2 dt = 500 P(5 – P) for P >0. (a) The population is increasing when - Preview <P < 5 Preview (b) The population is decreasing when P > 5 Preview (c) Assume that P(0) = 4. Find P(40). P(40) = 1.93 * Preview
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...
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...
1. A population grows according to a logistic model, with carrying capacity of 10,000, and an initial population of 1000. (a) Determine the constant B. (b) The population grew to 2500 in one year. Find the growth constant k (c) Write down the particular solution with the values of k, B found in (a) and (b). What will the population be in another three years (that is, when t-4)?
Suppose that the rate of change of a population is given by: dP dt = kP(M-P) a) What model of population growth is this ? b) What does it predict for the growth of the population as the population increases ? c) Sketch what happens to the population if the initial population, Po, were such that G) 0< Po< M/2, (ii) M/2 < PoM and (iii) Po > M (all on the same graph of population as a function of...
Most questions answered within 3 hours.
-
An infinite sheet of charge that has a surface charge density of
39 nC/m2 lies in...
asked 37 minutes ago -
After watching the lectures I am still having a hard time
understanding these equations.
1. The...
asked 1 hour ago -
Testing:
H0:μ=56.9
H1:μ<56.9
Your sample consists of 23 subjects, with a mean of 56.3 and
standard...
asked 1 hour ago -
straight wire, labeled as Wire A, lies horizontally on a
tabletop and is oriented to run...
asked 1 hour ago -
For a Chi-Squared Goodness of Fit Test about a uniform
distribution, complete the table.
Round to...
asked 2 hours ago -
Milk of magnesia is only slightly soluble in water. Kc for the
reaction Mg(OHs)(s)>Mg2+(a) + 2OH-1(aq)...
asked 2 hours ago -
Excel's HYPGEOM.DIST function can be used to compute _____.
a. both hypergeometric probabilities and cumulative
hypergeometric...
asked 2 hours ago -
The rocket used for the human lunar missions was the Saturn V
rocket. At liftoff the...
asked 2 hours ago -
1. The East Street Bagel Shop has a weekly demand for 3,500
bagels, which they make...
asked 2 hours ago -
paraphrasing each paragraph
“Where two or more persons knowingly act together unlawfully,
the act of each...
asked 2 hours ago -
The lateral line system in fish is contained which of the
following?
chemoreceptors
photoreceptors
mechanoreceptors
odor...
asked 2 hours ago -
Find the y-intercept of y =-5 x. The y-intercept of y equals
negative 5 x is______...
asked 2 hours ago