The number of bacteria growing in an incubation culture increases with time according to n(t) = 1,800(3)', where t is time in days. After how many days will the number of bacteria in the culture be 145,800?

Q: A particular type of bacteria is found to be capable of doubling in number about every 48.4 minutes.…

A: The number N of bacteria present after t minutes is modeled by:Nt=N0e0.014t   . . . (1) The initial…

Q: newton's law of cooling

A: We have given that a cup of hot cocoa coo from 90∘C to 60∘C after 10min in a room temperature having…

Q: If p( t ) = 450 ( 1.24 ) tgives the number of cells in a lab culture t days after the culture is…

A: Given: The number of cells in a lab culture t days after the culture is created is given by…

Q: The population of a bacteria culture grows at a rate of P = 100(2)n, where P is the population and n…

A:

Q: A radioactive substance decays in such a way that the amount left after t years is given by A=100e…

A: Follow the procedure given below.

Q: The following function represents the amount of the radioactive material present at time t (in…

A:

Q: Simplify '.

A: We will simplify the given expression in the following step.

Q: A large tank is filled to capacity with 300 gallons of pure water. Brine containing 4 pounds of salt…

A: Tank has been filled to capacity with 300 gallons of pure water. Incoming rate of brine solution  is…

Q: The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

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.