The population of minnows in the lagoon is 5,400, but the population will decay exponentially. If there are only 4,374 minnows left after two years, then what is the rate of decay?

Q: A bacterian culture has a initial population of 10000. If its population declines to 5000 in 6…

A: Exponential model ⇒Pt=Ae-kt⇒A=initial population ⇒k=decay rate ⇒t=Time in hours⇒Pt=Population at…

Q: bacillus subtilis, a type of a bacteria responsible for the decomposition of organic matter, grows…

A:

Q: The element lithium naturally decays at a continuous exponential rate of 1.9% per month. If a sample…

A:

Q: A colony of bacteria is grown under ideal conditions in a laboratory so that the population…

A: Consider the following exponential function: y=abx                                  ...... 1 Here,…

Q: Personal care aid is an occupation that is growing quickly. Assume that, in a certain region there…

A: Given information:The number of personal care aids in 2024 is 157,500, which is a growth of 28% over…

Q: A species of beetles grows 41% every year. Suppose 100 beetles are released into a field construct…

A:

Q: A culture of bacteria obeys the law of natural exponential growth. If 140,000 bacteria are present…

A: We can make it easier for you.

Q: There are 5,000 wolves in the park, but their population is expected to decay at a rate of 8% per…

A: Given, initially , wolves in the park = 5000 Decay of population = 8% per year finally , wolves in…

Q: Assume that the number of bacteria follows an exponential growth model: P(t)= P0ekt. The count in…

A: Assume that the number of bacteria follows an exponential growth model: P(t)= P0ekt. The count in…

Q: Suppose a study is completed that finds that the number of cockroaches in Chandler decreases by 18%…

A: Given information:  Cockroach population decrease by 18% in 12 years.…

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

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.