The population of a certain microgranism grows continuousely and follows an exponential behaviour over time.  It's doubling time is found to be 14.6 hours.  What is the differential equation would you describe it's growth?

Q: Suppose a population grows according to a logistic differential equation model. Its population in…

A:

Q: Suppose a population grows according to a logistic differential equation model. Its population in…

A: It is given that the population in years 2000 and 2001 is 500 and 1500 respectively and carrying…

Q: A certain RNA molecule replicates every 3 minutes. Find the differential equation for the number…

A:

Q: A certain radioactive material decays at a rate proportional to the amount present. At time ?=0,…

A:

Q: The spread of a rumor in a group of people can be modeled by a logistic growth equation. In a…

A:

Q: The population y(t) grows continuously and follows an exponential behavior over time. Its…

A: We have to find the differential equation to describe growth of population y(t).

Q: A radioactive isotope decays at a rate proportional to the amount of the isotope, in other words…

A: Consider the radioactive decay of an isotope is given by  and the solution of this differential…

Q: A population is modeled by the differential equation dP = 1.005P1- dt P 7500 For what value(s) of P…

A: The Given Differential equation is: dPdt = 1.005P1-P7500

Q: what is the Non-exact differential equation?

A:

Q: An investor deposits $8000 into an account that pays 6% compounded continuously and then begins to…

A:

Q: Which of the following is the differential equation of the family of Straight lines with slope and x…

A:

Q: After t hours, the percentage of alcohol in the blood decays according to the differential equation…

A: After time t=9.555 hours....they can legally drive...for detail solution...go through the solution

Q: A city block has 10 pigeons and then 1 week later there are 15 pigeons. Assuming the rate of growth…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the Differential Equation of the following family of curves 4. Straight lines with slope half…

A: The equation of straing line is given byy=mx+cwhere,m=slope=dydxand, c=y-interceptat…

Q: Suppose that you now have $10,000 and that you expect to save an additional $4000 during each year,…

A: Given that, you now have $10,000 and that you expect to save an additional $4000 during each year,…

Q: A population of insects grows at a rate that is given by dN = 0.078N dt - If there are initially 100…

A:

Q: Find the general solution of the differential equation for interest compounded continuously,dA/dt =…

A: dA/dt=kA

Q: Explain briefly the classifications of the Differential Equations?

A:

Q: Determine whether the following statement is true or false, and explain why. Every differential…

A: Solution:GivenEvery differential equation is either separable or linear.To determine the given…

Q: The number of students in a school who have heard a rumor at time t hours is modeled by the function…

A:

Q: dy 2. When does the differential equation Cekt represent exponential growth? exponential dt decay?

A: We need to explain growth and decay.

Q: Use exponential shift to find the general solution of the differential equation. (D+1)°y = 0

A:

Q: Find the solution y(t) by recognizing the differential equation as determining unlimited, limited,…

A:

Q: What is the differential equation given functions?

A:

Q: Suppose that you now have $10,000 and that you expect to save an additional $4000 during each year,…

A: Given that, You now have $10,000 and that you expect to save an additional $4000 during each year,…

Q: In the given question ,, determine whether the statement is true or false. If it is false, explain…

A: Given :                The function y = 0 is always a solution of a differential equation that can…

Q: Why is the exponential model unrealistic for predicting long-term population growth? How does the…

A: The exponential model is unrealistic for predicting long-term population growth because it does not…

Q: A bank pays continuous compounded interest. Sue deposits $100 in the account and in 3 years she has…

A: We will find the equation of A(t) as following.

Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

A:

Q: The radioactive isotope lead has a half-life of 3.3 hours and decays at a rate proportionate to the…

A: This is a problem of differential equation and integration. Based on the given scenario first of all…

Q: An investor deposits $9,000 into an account that pays 8% compounded continuously, and then begins to…

A:

Q: The growth rate of population of a city is known to be equal to 20% of the current…

A: According to the given information it is required to find the number of years it will take to double…

Q: The total number of reported cases of an illness in a large city tt days after the start of an…

A: Given the logistic differential equation is: y'=15600y1400-y…1 The standard form of a logistic…

Q: Q1\ A 200°F cup of tea left in 65°F room. At time initially the tea is cooling at 5 °F per minute.…

A: The rate of cooling is directly proportional to the rate of temperature difference between the…

Q: How can you tell that a differential equation is separable? Thatit is linear?

A: We can say differential equation separable  if it  can be written so that all terms in x and all…

Q: A radioactive substance has a half life of 175 years. Find the decay constant, r, for this…

A: A radioactive substance has a half life of 175 years

Q: Is the given Differential Equation a homogenous? If yes, what is the degree?

A: We know that a differential equation containing a homogenous function is called a homogenous…

Q: A radioactive isotope has a half-life of 25 years. 100 g of it is present. Write the differential…

A:

Q: A culture initially has P0 number of bacteria. At 1 h the number of bacteria is measured to be…

A: given: A culture initially has P0 number of bacteria. At 1 h the number of bacteria is measured to…

Q: A cypress beam found in the tomb of Sneferu in Egypt contained 55% of the radioactive carbon-14…

A:

Q: Suppose that in a certain company, the relationship between the price per unit p of its product and…

A:

Q: Suppose that a population grows according to a logistic model with carrying capacity 6300 and k =…

A:

Q: Assume that the amount of time, T, a job takes is inversely proportional to the number of people P…

A:

Q: After t hours there are P(t) cells present in a culture, where P(t) = 4000e 0.3t. (a) How many cells…

A: We can answer first three parts of the question as per the honor policy. Please resubmit other part…

Q: If the rate of change in the number of cows, W, in a population is proportional to 150 - W(t), where…

A:

Q: The von Bertalanffy growth model states that the rate of increase in the length L(t) of a shark of…

A: according to question, rate of increase in length of a shark of age t in years is proportional to…

Q: Suppose that news spreads through a city of fixed size of 800000 people at a time rate proportional…

A: Total number of people in the village are =800000. No. of people who have heard the news after t…

Q: Find the order and degree of the differential equation:

A: Given,                d2ydx2+5dydx4=13sinx

Q: Which kind of the differential equation is it

A: dydx=y' = x2y+y3x3+y3 is the given differential equation.    Degree of Numerator =3  Degree of…

Q: Recall that the Logistic Growth Equation is given by P'=k P (M-P), where M is the carrying capacity…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…