The population of country doubles in 100 years. How many years will it be five times as much? Assume that the rate of increase is proportional to the number of inhabitants.

Q: A rocket is 4 miles above the earth in 10 minutes and 8 miles above the earth in 15 minutes What is…

A: Given: A rocket is 4 miles above the earth in 10 minutes and 8 miles above the earth in 15 minutes.

Q: The population of a city was at 6,000 people in 2001. If the population grows at a rate of 1.7% each…

A: Given the population city was 6000 people in 2001. If population grows at a rate of 1.7% each year.…

Q: The rate of growth of the giant bamboo species is proportional to its height. One week after a…

A: This question can be solved using the concept of differential equation.

Q: It takes 15 minutes to preheat your oven to 325 degrees. For an oven preheated to 325 degrees, the…

A:

Q: the bear population gradually increases over a decade. there are 1604 bear this year and there was…

A:

Q: A quantity increases by 6% for each 10 years.  What is its percentage increase over the 10-year…

A: Consider the initial value be x. Rater=6⁒timet=10 years Final…

Q: After 2 hours, the population of a culture of bacteria has increased by 50%. If the rate of growth…

A:

Q: A house increases in value in a linear fashion from $220,000 to $300,000 in 5 years.Find the…

A:

Q: The number of automobiles in a certain small town was 1,525 in 2013, and it was 1,850 in 2018. What…

A: Rate of change of a function f(x) in (a,b) is give by Rate of change =fb-fab-a

Q: The length of a rectangle is increasing at a rate of 5 meters per hour and the width is decreasing…

A: The length of a rectangle is 11 meters and the width is 20 meters. The length is increasing at a…

Q: Bellville is growing at 1.8%.  How many years will it take for Bellville to double its living…

A: Let, the current standard of Bellville is P The growth rate is 1.8% Let after t years, the living…

Q: For a substance C, the time rate of conversion is proportional to the square of the amount of…

A: Given: For substance C, the time rate of conversion is proportional to the square of the amount of…

Q: When water is released from the Kinzua Dam it is released gradually. The water level in Kinzua…

A:

Q: The population of a city increased from 23,400 to 28,800 between 2016 and 2020. Find the rate of…

A: The objective of this question is to find the rate of change of the population of a city between the…

Q: You invest $200 at 12.25% earning continuous interest. How many years does it take for your money to…

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.