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

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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.