A certain population of bacteria grows at a rate that is proportional to the number present. It is found that the number doubles in 2 hours, how long does it take to triple the original population

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A: Given that rate of decay of radium is proportional to the amount present at that time.

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Q: Initially 35 grams of radioactive substance was present. After 5 hours the mass had decreased by 11…

A: Given:- Initially 35 grams of radioactive substance was present. After 5 hours the mass had…

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

A: we know that population growth formula A(t)=P0ekt where A(t) : population at time t P0 : initial…

Q: 2. In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

A: Solution is given below:

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Q: A population of bacteria grows at a rate proportional to the number of bacteria at the time. There…

A: Given that:                      Bacteria growth rate is proportional to the number of bacteria at…

Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

A:

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

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Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

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

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

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

A: We will use the exponential growth equation of bacteria .

Q: 2. In a certain culture of bacteria, the rate of increase is proportional to the number present. If…

A:

Q: The rate of change of the male population of a particular barangay is proportional to the male…

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Q: A certain radioactive substance has a half-life of 38 hours. The rate of change in the decay is…

A: In this we are going to use decay formula so I'm providing hand written solution for this

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: Initially there was 80 milligrams of radioactive substance present.  After an 8 hour period the mass…

A: From the differential equation from the given information. dPdt=kPdPP=kdt Here, the amount of…

Q: Bacteria grown in a certain culture increase at a rate proportional to the amount present. If there…

A: This question is based on application of diffrential equation.

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A: Given:- It is known that the population of a certain country at time t is proportional to the people…

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

A:

Q: A certain population of microorganisms grows at a rate proportional to the amount present under a…

A: Given that, A certain population of microorganisms grows at a rate proportional to the amount…

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A: We will find out the required initial population of the state .

Q: A certain population of bacteria doubled after 20 minutes. If it is known that it grows proportional…

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Q: [2] The rate of growth of the bacterial population is proportional to the number of bacteria present…

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

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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: A certain radioactive substance has a half-life of 38 hours. The rate of change in the decay is…

A: Solved below

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

A: Solved below

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Q: Initially 47 grams of radioactive substance was present. After 10 hours the mass had decreased by…

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Q: (4) Consider the constant rate of decrease of a certain microorganism. At the start, there are…

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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: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: Image is attached with detailed solution.

Q: A certain mold grows at a rate proportional to its present size. If the original amount doubles in…

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Q: A certain bacteria culture is observed to double its amount after two hours it was initially…

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Q: 1. After 2 days, 10 grams of a radioactive substance is present. Three days later, 5 grams is…

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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.