After an hour, the population of bacteria with a number of P0 found that their number became 3 / 2P0. If the growth rate is proportional to the number of bacteria (P (t) present at time t, find the time required for the number of bacteria to 3 times.

Q: If the growth rate of the number of bacteria at any time t is proportional to the number present at…

A: Here we have to find the no of bacteria expected after two weeks.

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

A:

Q: the bacteria increased from an initial population of 150 to 850 within 2 hours. How long will it…

A:

Q: A sample of bacteria initially started with 50 bacteria. Twelve hours later, there were 506 bacteria…

A: First, we need to identify the type of growth. In this case, the bacteria are growing exponentially,…

Q: A certain bacteria culture grows at a rate proportional to its size. If 10,000 bacteria grow at the…

A: Given: A certain bacteria culture grows at a rate proportional to its size.

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: 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: A small town is known to grow its population at a rate proportional to the population at any time.…

A:

Q: A teenager ate 2/9 of a pizza in 5/18 of an hour. If the teenager ate at a constant rate, how long…

A: Given that  A teenager ate 2/9 of a pizza in 5/18 of an hour.

Q: Initially 53 grams of radioactive substance was present. After 6 hours the mass had decreased by 6%.…

A:

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.