In the absence of predators the population of mosquitos in a certain area would inccrease at a rate proportional to its current population and its population would double every three weeks. There are 250,000 mosquitos in the area initially when a flock of birds arrive that eats 80,000 mosquitos per week. How many mosquitos remain after two weeks?

Q: Suppose that during the first year after its hatching, the weight of a duck increases at a rate…

A: Solution

Q: A tank contains 100 liters of brine, with 50 kg total dissolved salt. Saltwater, with a…

A:

Q: A population of bacteria grows at a rate proportional to the number of bacteria at the time. There…

A: Given that:                      Bacteria growth rate is proportional to the number of bacteria at…

Q: a city grows at a rate directly proportional to its population. The initial pop. is 30 and it…

A: The rate of change of the variable (Population here) is proportion to the variable itself. Hence,…

Q: 1800 978 1850 1,262 1900 1,650 1950 2,519 1960 2,982 1970 3,692 1980 4,435 1985 4,831 1990 5,263…

A: Taking the rate of increment as exponential first fits an exponential function to the given data.…

Q: The population of a district in a town is known to increase at a rate proportional to the number of…

A: We will find out the required initial population of the state .

Q: A tank contains 100 liters of brine, with 50 kg total dissolved salt. Saltwater, with a…

A:

Q: The population of a certain town is known to increase at a rate proportional to the number of people…

A: Let the population at time t be 'P' Now, as per the given data dPdt∝P⇒dPdt=kP

Q: A swarm of bees is spreading from an original region of 1 square mile. The region the swarm occupies…

A: Given that the original region of 1 square mile.  After 1 year area will be 2(1)=2=21 square miles…

Q: A fish population starts at 15000. The (annual) birth rate is 0.4; the (annual) death rate is 0.3.…

A: This question is based on basic calculation.

Q: Assume you have a pasture with a carrying capacity of 96 AUMS, and average annual production of 180…

A: Given problem is : Assume you have a pasture with a carrying capacity of 96 AUMS, and average annual…

Q: The number of germs in a certain culture increases at a rate proportional to the number present. If…

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.