Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 10, 000. The number of fish tripled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation, find an expression for the size of the population after t years. (b) How long will it take for the population to increase to 5000?

Q: In a city of half a million, there are initially 400 cases of a particularly virulent strain of flu.…

A: Consider the provided question, In a city of half a million, there are initially 400 cases of a…

Q: A bank pays interest at a rate of 5%. What is the yearly multiplier if interest is compounded (a)…

A:

Q: A patient takes a 300 mg tablet for the control ofhigh blood pressure every morning at the same…

A: Given that:    The patient takes 300 mg tablet for the control of high blood pressure every month at…

Q: city of half a million, there are initially 400 cases of a particularly virulent strain of flu. The…

A:

Q: The logistic growth function P(x) = 90 / 1 + 271e-0.122x models the percentage, P(x), of Americans…

A: Given that x= 80 years  We have to find P(80) to find the percentage of 80-year-olds have some…

Q: The logistic growth function f(t) = 100,000 / 1 + 5000e-t describes the number of people, f(t), who…

A:

Q: Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal population…

A: Let's find.

Q: Biologists stocked a lake with 240 fish and estimated the carrying capacity (the maximal population…

A:

Q: At a suburban high school, information spreads by word of mouth according to the logistic function…

A: We are given an logistic function Here k is the growth rate and t is the time. Observe from the…

Q: A population of 200 kangaroo is released into the forest. During the first three years, the…

A: Given,initial kangaroo number, n(0) = 200number of kangaroo after 3 years, n(3) =500carrying…

Q: Suppose a population grows according to a logistic model with initial population 500 and carrying…

A:

Q: Suppose that a population grows according to a logistic model with carrying capacity 6500 and k =…

A:

Q: Assume the carrying capacity of the earth is 11 billion. Use the 1960s peak annual growth rate…

A: According to the given information it is required to predict the base growth rate and current growth…

Q: Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population…

A: We have to find- an expression for the size of the population after t years, how long will it take…

Q: In a city of half a million, there are initially 800 cases of a particularly virulent strain of flu.…

A:

Q: Biologists stocked a lake with 700 fish and estimated the carrying capacity to be 9700. The number…

A:

Q: How long does it take for an investment to double its value if the interest is 7.25% compounded…

A: we know for compound interest  A=P ert here A= compounded amount after time t years P = principal…

Q: A culture of bacteria obeys the law of natural exponential growth. If 140,000 bacteria are present…

A: We can make it easier for you.

Q: The Obama Administration instituted an economic recovery program in 2009 to arrest the recent…

A: The given logistic exponential function is N(t) = 10.003 / 1+ 0.0003e0.8t and 0 is equals to…

Q: In a city of half a million, there are initially 200 cases of a particularly virulent strain of flu.…

A: Since, the number of cases increasing according to cumulative rate so we will use the formula of…

Q: A dog is anesthetized when its bloodstream contains at least 45 milligrams (mg) of the anaesthetic…

A: We can use exponential decay function to solve the problem

Q: Biologists stocked a lake with 600 fish and estimated the carrying capacity to be 3300. The number…

A: Given that the biologists stocked a lake with 600 fish and estimated carrying capacity to be…

Q: In a city of half a million, there are initially 800 cases of a particularly virulent strain of flu.…

A: In a city of half a million, there are initially 800 cases of a particularly virulent strain of flu.…

Q: In 2000, the population of Africa was 807 million and by 2011 it had grown to 1052 million. a. Use…

A: In 2000, the population of Africa was 807 million and by 2011 it had grown to 1052 million i.e. A =…

Q: Suppose that at time t 0, 10 thousand people in a city with population 100 thousand people have…

A: In this question, the concept of the logistic equation is applied. The Representation  of Logistic…

Q: A population of bacteria grows according to the logistic equa

A: The population of bacteria grows according to the logistic equation dPdt=0.05P(1-0.001P)

Q: logistic growth function P(x)=90/ 1+271 e^−0.122x  models the​ percentage, P(x), of Americans who…

A: Given the query is to find the percentage of 68 year old who has heart disease.

Q: The logistic growth function P(x) = 90 / 1 + 271e-0.122x models the percentage, P(x), of Americans…

A:

Q: tion of Dogs can be modeled by the Logistic curv 1+7e-0.03t is time in years since 2010, and P(t) is…

A: Topic:- exponential function    Note:- as per our guideline if more than three subparts posted than…

Q: In a city of half a million, there are initially 200 cases of a particularly virulent strain of flu.…

A:

Q: Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal population…

A:

Q: A population of bacteria is undergoing logistic growth, with a maximum possible population of…

A: Initial population P0=5000 Maximum possible population, P=100,000 Rate of change of population,…

Q: -) Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal…

A: Given equation,  dPdt=kP(1-PK).  (a) Carrying capacity is given K = 5300, Let us plug it in given…

Q: Biologists stocked a lake with 300 fish and estimated the carrying capacity (the maximal population…

A:

Q: A lab culture initially contains 500 bacteria. Two hours later, the number of bacteria decreases to…

A:

Q: The logistic growth function P(x)=901+271e−0.122x models the​ percentage, P(x), of Americans who…

A: The logistic growth function, Px=901+271e-0.122x models the percentage, P(x) of Americans who are x…

Q: Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population…

A:

Q: In a city of half a million, there are initially 200 cases of a particularly virulent strain of flu.…

A: Consider the given information. The logistic model is defined as, N=K1+be-rt Where, K is carrying…

Q: Biologists stocked a lake with 300 fish and estimated the carrying capacity to be 9400. The number…

A:

Q: As the biologist for a certain crocodile farm, you know that its carrying capacity is 20,000…

A: Given A0=5000t=6 weeksA=7500 Find a and b parts

Q: The population of a culture of bacteria is modeled by the logistic equation   P (t) = 14,250 / 1+29e…

A:

Q: A rumor is spreading on an island with a population of 50,000 individuals. When the rumor starts to…

A:

Q: ) The Obama Administration instituted an economic recovery program in 2009 to arrest the recent…

A: 1.   The number of businesses closed in 2011 is 10 and it is calculated below:   The given logistic…

Q: If a village has a population of 2000 and a natural growth rate of 3.7% but has a carrying capacity…

A:

Q: A population of 15,000 small deer in aspecific region has grown exponentially to 17,000 in 4 years.…

A: We know that exponential equation to express the population growth is, y=y0ekt Where y0 is initial…

Q: Biologists stocked a lake with 600 fish and estimated the carrying capacity to be 7400. The number…

A: The form of the logistic equatIon is: y(t)=c1+aebt The carrying capacity is: 7400 Therefore c = 7400

Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

A:

Q: In a city of half a million, there are initially 400 cases of a particularly virulent strain of flu.…

A: Initially there are 400 cases of a particularly virulent strain of flu. infections increases 40%…

Q: Studies to fit a logistic model to the Eastern Pacific yellowfin tuna population have yielded 148 1+…

A:

Q: A person places $123 in an investment account earning an annual rate of 2.8%, compounded…

A: Explanation and solutions is given below....

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.