The biomass of a yeast culture in an experiment is initially 29 grams. After 30 minutes the mass is 37 grams. Assuming that the equation for unlimited population growth gives a food model for the growth of the yeast when the mass is below 100 grams, how long will it take for the mass to double from its initial value ?

Q: Suppose a population is dying with a half-life of 43 years.The initial size is 1600. How long will…

A: We will find how long will it take to reach 200 as following .

Q: A tank initially holds 245 liters of brine solution containing 25 Ibm (pound mass) of salt. At t =…

A: Initial amount in tank = 245 liters, in which 25lb Fresh water is poured into @ 7g/m. Well stirred…

Q: A population of mosquitoes increases at a daily rate of 1/2 times the current population. You can…

A: Given that A population of mosquitoes increases at a daily rate of 1/2 times the current population.…

Q: The third bacteria culture started with 5,000 bacteria. The assistant found that after 3 hours the…

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: The doubling period of a bacterial population is 10 minutes. At time t = 110 minutes, the bacterial…

A: Given that  The doubling period of a bacterial population is 10 mins At time t=110 mins, the…

Q: The bacteria in a laboratory culture increased from an initial population of 500 to 2000 in four…

A: We can express this growth using the formula for exponential growthN(t)=N0⋅ertN(t) is the population…

Q: e) What are the domain and the range for this situation?

A:

Q: A colony of rats is transplanted into an island environment by stowing away on a cargoship. The…

A: Given that  A colony of rats is transplanted into an island environment by stowing away on a…

Q: A bacteria culture starts with 500 bacteria and grows at a rate proportional to its size. After 5…

A:

Q: A population of 200 rodents is growing at a rate of 5% per month. What equation model can represent…

A: The exponential growth or decay is modelled using the equation, f(t)=a(1±r)t, where a is the initial…

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.