The population of community is known to increase at a rate proportional to the number of people present at time t. If an initial population Po has doubled in five years, how long will it take to triple? To quadruple?

Q: suppose the population of a certain bacteria in a laboratory sample is 100. if it is doubles in…

A: Given: The population of a certain bacteria in a laboratory sample is 100 and it is doubles in…

Q: If a town has a population of 850 people at year t=0, what is the formula for if it grows at a…

A:

Q: A radioactive substance decays at a rate proportional to the amount present, and half the original…

A: given radioactive substance that its half life is 1500 years. we have to find time after which the…

Q: The rate of decay of radium is said to be proportional to the amount of radium present. If the…

A: Given : S=the amount of radium you start with=250gm t=the amount of time in years=950 years  h=the…

Q: 6. The population of a community is known to increase at a rate proportional to the number of people…

A: We have to find the time it takes for the population to quadraple.

Q: A certain bacterium is known to grow according to the Malthusian model, doubling itself every 8…

A:

Q: The rate growth of a population is proportional to the present population. If it is 1000 initially…

A: This question is related to the population growth, We will solve it using integration.

Q: The population of a state is known to grow at a rate proportional to the number of people presently…

A: Follow the steps.

Q: 1. The population of a community is known to increase at a rate proportional to the number of people…

A: Topic:- exponential function

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: Given that , The radioactive material is known to decay at a rate proportional to the amount…

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

A:

Q: How much should be invested at a rate of 7% coumpounded continuously to produce an amount of $15,000…

A:

Q: After a long study, three scientists conclude that a eucalyptus tree will grow at a rate of…

A: Given the rate of change= 0.6+4/(t+2)2 feet per year To find the total number of feet grown during…

Q: Initially 100 milligrams of a radioactive substance were present. After 6 hours the mass had…

A:

Q: The half-life of radioactive cobalt is 5.27 years. Suppose that a nuclear accident has left the…

A: Given:    Half-life of radioactive cobalt =5.27 years    The proportion p that remains after y years…

Q: In the absence of predators the population of mosquitos in a certain area would inccrease at a rate…

A: Let P(t) be the population of mosquitoes in the area with t in weeks, and k be the rate at whichthey…

Q: A population of 320 bacteria grows continuously at a rate of 4.2% each day. How many bacteria will…

A:

Q: 3. The population of a community is known to increase at a rate proportional to the number of people…

A: Let initial population P0Population at time t is P.

Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

A:

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

A: Given that 10 years the population has trembled and for  20years the population is 150000. p(t)…

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: Let us assume that the rate of change of the amount of material is proportional to the amount of…

Q: There are currently 250 cells in a culture and it grows ata rate proportional to its size. After one…

A: Given data: Total cells=250 After one hour=630

Q: A radioactive substance decays at a rate proportional to the amount present ( y(t) = yoe-rt ) If 40%…

A: let the amount of radioactive material be x, and Given that…

Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

A:

Q: The radioactive isotope lead has a half-life of 3.3 hours and decays at a rate proportionate to the…

A: This is a problem of differential equation and integration. Based on the given scenario first of all…

Q: If

A: Explanation and solutions is given below....

Q: A bank pays interest continuously at the rate of 6%. How long does it take for a deposit of Q0 to…

A:

Q: nown to grow at a rate proportional

A:

Q: A storage battery discharge at a rate which is proportional to the charge. If the charger is reduced…

A: Solve by making equation

Q: Assume that the population of a certain city increases at a rate proportional to the number of…

A: Note: There are two problems of same type. We will solve the first one for you. Kindly repost the…

Q: A quantity with an initial value of 8200 grows continuously at a rate of o.55% per decade. What is…

A:

Q: The population of Tagum City is increasing at the rate proportional to its current population. In…

A:

Q: Element X is a radioactive isotope such that every 16 years, its mass decreases by half. Given that…

A:

Q: The population of one state increases at a rate numerically equal to the cube root of the…

A:

Q: The amount of a radioactive isotope present in a certain sample at time t is given by…

A: Solve the following

Q: The number of bacteria in a liquid culture is observed to grow at a rate proportional to the number…

A: We know that at the beginning of the experiment, number of cells = 104 After 3 hours of the…

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

A:

Q: With a half life of 36 hours. Suppose a patient receives a  medication of 90 milligrams at midnight.…

A: A=A0e-ktAt t=36,A=A02A02=A0e-36kk=ln236A=A0e-ln236tA0=90At noon on first day…

Q: After a long study, three scientists conclude that a eucalyptus tree will grow at a rate of…

A:

Q: projected that, t months from now, the population of a certain town will be growing at the rate of…

A:

Q: 3. The population of a community is known to increase at a rate proportional to the number of people…

A: Topic:-  exponential function

Q: An environmental study of a certain community suggests that t years from now the level of carbon…

A: Let's find.

Q: A colony of bacteria with originally 100 cells has now grown to 900 in 2 hours. Assuming the rate of…

A:

Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

A:

Q: Ifthe population of bacteria in a certain region triples in 15 days. In how many days will be four…

A: given                                                 dAdt=AK Where, A is population of bacteria. K…

Q: A bacterial population B is known to have a rate of growth proportional to B itself. If between noon…

A: Solved below

Q: A hypothetical square grows at a rate of 8 m^2/min. How fast are the diagonals of the square…

A:

Q: A certain population of bacteria grows at a rate that is proportional to the number present. It is…

A: Given that: Growth rate of bacteria ∝ Number of bacteria presentNumber doubles in 2 hr

Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

A: Given- Half life t12 =3.3 hours, Intial weight=1 gm. To find- The time in which the radioactive…

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.