It is known that the population of a certain country at time t is proportional to the people living in it presently. If after 2 yrs the poputation is 20000 and after 3 yrs the poputation is tripled (originat) find

Q: It is estimated that t months from now, the population of a certain town will be changing at the…

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Q: A breeder reactor converts relatively stable uranium 238 into the isotope plu- tonium 239. After 15…

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Q: 4. Suppose that a student carrying a flu virus returns to an isolated campus of 1000 students. After…

A: Given:-          dydt = ky1000-yy0 = 1yl0 = 5dyy1000-y = k dtdy 1y+11000-y = 1000 k dtdyy+dy1000-y =…

Q: 2. The rate of decay of radium is proportional to the amount present at any time. If 60 mg of radium…

A: A(t) = amount remaining in t years          = A0ekt, where A0 is the initial amount and k is a…

Q: A study of a certain Subanen community suggests thatt years from now, the average level of carbon…

A: Given query is to find the rate of change of carbon monoxide after 2 years.

Q: Consider the constant rate of decrease of a certain microorganism. At the start, there are 10 000…

A: Let's find.

Q: If the growth rate of a culture of bacteria is proportional to the number of bacteria present. After…

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Q: Assume that the rate of evaporation for water is proportional to the amount of water in a bowl. If…

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Q: Suppose that the fish population P(t)in a lake is attacked by a disease at time t=0, with the result…

A: From the given data, dPdt=βt-δtPβ=0δ=kPP0=100,000P20=1984Px=0x=?

Q: a new substance C is to be formed by removing two units from each of two substances whose initial…

A: 1st we will formed a differential equation for amount of C and then solve it to get actual amount of…

Q: Let n(t)n(t) be the size of the population of a specific country at any time tt. Suppose the maximum…

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Q: If a population of buffalo are becoming extinct. Assume that 150 years ago there were 100,000…

A: This question is about application of differential equation

Q: 2. The population of a certain state is known to grow at a rate proportional to the number of people…

A: 2) Given:         Rate of increase of the population of the state is proportional to the number of…

Q: A college dormitory houses 100 students, each of whom is susceptible to a certain virus infection. A…

A: This is a problem of modeling and IVP.

Q: If population y grows at a rate proportional to the current population, then y could be

A: This make separable differential equation

Q: Consider the constant rate of decrease of a certain microorganism. At the start, there are 50000…

A: Given query is to find the population of microorganisms after 50 second.

Q: 3. The population of a certain country is known to increase at a rate proportional to the number of…

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Q: 2. It is estimated that t months from now, the population of a certain town will be changing at the…

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Q: if the population of the lunar station at clavius is given by P=200 + 30t, where t is time in years…

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Q: It is known that the population of a certain country at time t is proportional to the people living…

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Q: The population of a certain country is known to increase at a rate proportional to the number of…

A: The general solution of a differential equation always contains a constant of integration. The…

Q: A population of a certain microorganism quadruples every 33 minutes. If the growth rate of the…

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Q: 1. The rate at which radioactive nuclei decay is proportional to the number of such nuclei that are…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: It is estimated that x months from now, the population of a certain town will be changing at a rate…

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: (a) In a certain culture of bacteria the rate of increase is proportional to the number present. (i)…

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Q: Suppose a student carrying a flu virus returns to an isolated college campus of 1000 students. It is…

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Q: Suppose that a community contains 15,000 people who are susceptible to Michaud’s syndrome, a…

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Q: 5. A storage battery discharge at a rate which is proportional to the charge. If the charger is…

A: Given that: Rate of discharging is proportional to the charge.Charge is reduced to 50% of its…

Q: 2. It is estimated that t months from now, the population of a certain town will be changing at the…

A: This question is related to population growth, We will solve it using integration.

Q: ) An environmental study estimates that t years from now, the level of carbon monoxide in the air of…

A: Given that :-the level of carbon monoxide:Q(t)=0.01t3+0.1t+2.2 ppm.Q(5)=0.01(5)3+0.1(5)+2.2…

Q: Suppose an unknown radioactive substance produces 800 counts per minute on a Geiger counter at a…

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Q: 3. The rate of population grarth of a to the number inhabitent>. If the population of a certain…

A: topic - exponential function

Q: The population of mosquitoes in a certain area increases at a rate proportional to the current…

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Q: (a) In a certain culture of bacteria the rate of increase is proportional to the number present. (i)…

A:

Q: 3. The population of a community is known to increase at a rate proportional to the number of people…

A: Topic:-  exponential function

Q: If the world's population grows at a rate proportional to the present population and it is recorded…

A: 20 billion population reached in 2121. Hence correct option is second one. For details calculation…

Q: If the area A = s of an expanding square is increasing at the constant rate of 8 square inches

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Q: A group of survivors on a supply run has returned to their base camp with a population of 2000. Two…

A: Given:  y       = present number of infected people 2000 = total population  y'(t)  = rate of spread…

Q: It is estimated that t months from now, the population of a certain town will be changing at the…

A: This question is related to population growth, We will solve it using integration.

Q: A bacterial population B is known to have a growth rate proportional to B itself. If between 3pm and…

A:

Q: A certain population of bacteria grows at a rate that is proportional to the number present. It is…

A: Given that: Growth rate of bacteria ∝ Number of bacteria presentNumber doubles in 2 hr

Q: A certain population of rabbits grows proportionally to its size. If initially there are 1000…

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Q: The state of decay of radium is proportional to the amount present at any time. Suppose that 400 mg…

A: Here we will find radium left after 2.5 hours and 10hours,

Q: Suppose an unknown radioactive substance produces 6400 counts per minute on a Geiger counter at a…

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Q: A bacterial population Y is known to have a rate of growth proportional to Y itself. If between noon…

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Q: It is estimated that t months from now, the population of a certain town will be changing at the…

A:

Q: The population of Normal, Illinois grows proportionally to its population at time t. At an initial…

A: Given, dPdt=kP Where P is the population and k is the proportionality constant.