1. A population of a certain microorganism quadruples every 33 minutes. If the growth rate of the population is directly proportional to the population itself, determine the equation of the population as a function of time. Determine also the population after next 33 minutes.

Q: 2. A certain radioactive material is known to decay at a rate proportional to the amount  present.…

A:

Q: suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per…

A: suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per…

Q: 2. The amount of heat H (in joules) required to convert one gram of water into vapor is linearly…

A:

Q: A bacterial population B is known to have a growth rate proportional to B itself. If between 3pm and…

A: we know that population growth formula A(t)=P0ekt where A(t) : population at time t P0 : initial…

Q: 4. Suppose that a student carrying a flu virus returns to an isolated campus of 1000 students. After…

A: Given:-          dydt = ky1000-yy0 = 1yl0 = 5dyy1000-y = k dtdy 1y+11000-y = 1000 k dtdyy+dy1000-y =…

Q: The rate of population growth of a certain country is proportional to the number of inhabitants. if…

A: According to the question, if P represents the population, then

Q: 3. The rate at which radioactive nuclei decay is proportional to the number of such nuclei that are…

A:

Q: If the population (in millions) of a country as a function of time (in years) is P(t) = 10 · 2kt,…

A:

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 A baseball Card inifialy worth $36 cuppreciates each year at a rate of 2% each year, Write an…

A:

Q: The rate at which radioactive nuclei decay is proportional to the number of nuclei that are present…

A:

Q: Consider the constant rate of decrease of a certain microorganism. At the start, there are 10 000…

A: Let's find.

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

A: Solution

Q: It is known that the population of a certain country at time t is proportional to the people living…

A:

Q: If the growth rate of a culture of bacteria is proportional to the number of bacteria present. After…

A:

Q: Suppose that a printing firm considers its production as a continuous income stream. If the annual…

A: Given problem:- Suppose that a printing firm considers its production as a continuous income stream.…

Q: 1. The number of a certain type of bacteria increases continuously at a rate proportional to the…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: If population y grows at a rate proportional to the current population, then y could be

A: This make separable differential equation

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

A: Consider the provided information, We assume that rate of change of amount of substance is…

Q: Suppose an unknown radioactive substance produces 22400 counts per minute on a Geiger counter at a…

A:

Q: 1) For a period of time, an island's population grows at a rate proportional to its population. If…

A:

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

A: The general solution of a differential equation always contains a constant of integration. The…

Q: The following graph shows the yearly industrial output (measured in billions of zonars) of the…

A: We will find the answers to all the parts as following.

Q: 1. If the growth rate of a culture of bacteria is proportional to the number of bacteria present.…

A: Given:  If the growth rate of a culture of bacteria is proportional to the number of bacteria…

Q: A population of a certain microorganism quadruples every 33 minutes. If the growth rate of the…

A:

Q: 1. The rate at which radioactive nuclei decay is proportional to the number of such nuclei that are…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: A businessman found out that there is a need for a great supply of a certain type of ornamental fish…

A: Given: Fish grows and multiplyin captivity at a rate proportional to its population for any given…

Q: It is known that the population of a certain country at time t is proportional to the people living…

A: Given:- It is known that the population of a certain country at time t is proportional to the people…

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

A: Given: The population of a certain state is known to grow at a rate proportional to the numberof…

Q: 5. A storage battery discharge at a rate which is proportional to the charge. If the charger is…

A: Given that: Rate of discharging is proportional to the charge.Charge is reduced to 50% of its…

Q: The following graph shows the yearly industrial output (measured in billions of zonars) of the…

A:

Q: 4- The gross domestic product (GDP) of a certain country was N(t) = t² + 5t + 106 billion dollars t…

A:

Q: Suppose an unknown radioactive substance produces 800 counts per minute on a Geiger counter at a…

A:

Q: 1. The population of a certain barangay is increasing at a rate proportional to its current…

A:

Q: If the world's population grows at a rate proportional to the present population and it is recorded…

A: 20 billion population reached in 2121. Hence correct option is second one. For details calculation…

Q: 2. It has been observed that a mothball of radius 1 cm evaporates to leave a ball of radius 1/2 cm…

A: We will use rate of evaporation ( change in surface area ) is proportional to surface area formed a…

Q: model a population p if its rate of growth is proportional to the amount present at time t

A: model a population p if its rate of growth is proportional to the amount present at time t

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: It is estimated that t months from now, the population of a certain town will be changing at the…

A:

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 certain population of rabbits grows proportionally to its size. If initially there are 1000…

A:

Q: 3. In a certain culture, the rate of growth of bacteria is proportional to the amount present. If…

A:

Q: The state of decay of radium is proportional to the amount present at any time. Suppose that 400 mg…

A: Here we will find radium left after 2.5 hours and 10hours,

Q: (4) Consider the constant rate of decrease of a certain microorganism. At the start, there are…

A: We have to find the number of microorganisms that will be there after 45 seconds.

Q: It is estimated that t months from now, the population of a certain town will be changing at the…

A:

Q: Consider the constant rate of depreciation value of a certain car. You bought a car amounting to 1.5…

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.