1. During the exponential phase, E. coli bacteria in a culture increase in number at a rate proportional to the current population. If the growth rate is 1.5% per minute and the current population is 129.0 million, what will the population be 7.3 minutes from now?

Q: A population is growing exponentially with growth constant .04. In how many years will the current…

A: Exponential model is Pt=P0ekt Where Pt=Population at any time 't' P0=Initial population t= time…

Q: Country A has an exponential growth rate of 2.3% per year. The population is currently 4,485,000,…

A: Given that, Country A has an exponential growth rate of 2.3% per year. The population is currently…

Q: A colony of bacteria is increasing at the rate of 15% each hour. There are 3,500 bacteria in the…

A:

Q: The population of minnows in the lagoon is 5,400, but the population will decay exponentially. If…

A: The formula for the exponential decay model is, y=C1-rt Here, y is the final amount C is the initial…

Q: Suppose that inflation causes the value of a dollar to decrease at a rate of 4.5%per year.  To use a…

A: Given :-  Suppose that inflation causes the value of a dollar to decrease at a rate of 4.5 % per…

Q: 5. The number of users on a social networking site was 45 thousand in February when they officially…

A: Concept to be used:An exponential model can be written in the form f(x)=abx, where a is the initial…

Q: An extremely large flywheel in a generator is rotating at 1980 revolutions per minute at full power.…

A: Initial power of flywheel No=1980 rev/min After 8 minutes,N=1564 rev/min

Q: If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population…

A: So the equation for the exponential population with growth rate k is given by: Where, A= initial…

Q: certain drug is eliminated from the bloodstream exponentially with a half-life of 36 hours. onsider…

A: We can use exponential decay function to solve the problem

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.