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

Q: A population of mosquitoes increases at a daily rate of 1/2 times the current population. You can…

A: Given that A population of mosquitoes increases at a daily rate of 1/2 times the current population.…

Q: I am having trouble solving this.

A: Let V be the volume at any time t. Hence, dV/dt α V1/3 Or, dV/dt = kV1/3 where k is the factor of…

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 50 grams of radioactive substance was present. After 10 hours the mass had decreased by…

A: The rate of change of amount A with respect to time t can be denoted by dAdt. If x is directly…

Q: Nobelium is a radioactive isotope that has 25 seconds half-life. How long will it take for Nobelium…

A: The formula to calculate the amount of radioactive isotope is N=Noe-λt where N is the rest amount No…

Q: A bacteria culture starts with 500 bacteria and grows at a rate proportional to its size. After 5…

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Q: A bacteria culture is known to grow at a rate proportional to the amount present. After one hour,…

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Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

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

A: Let the population at time t be 'P' Now, as per the given data dPdt∝P⇒dPdt=kP

Q: Radium decomposes at a rate proportional to the amount present. If 100 milligrams of Radium at…

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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.