8) Suppose that the number of bald eagles in the U.S. at any given time is given by P(t) = 50, 000 – 1, 000t + 50t² 12). Is the U.S. bald eagle population where t is the number of years since 2000 (i.e. 2012 is t = growing faster now than it was in 2015?

Q: The population, P, of the city of Hazelton has grown according to the mathematical model P =…

A:

Q: According to estimates, the global emissions of CO2 in the energy sector will total about 36 billion…

A: Given that the amount of CO2 emissions in the energy sector in 2020 is about 36 billion metric tons.…

Q: 20. In "x" years from now, one investment plan will be generating profit at the rate of R₁ (x) = 50+…

A: Given: R1x=50+x2R2x=200+5x

Q: The volume of fluid in an IV (intravenous) drop decreases according to the mathematical model…

A: The  given model of the volume of fluid in IV drop versus time is:   V=-0.110t+1   Where, V is the…

Q: A tank contains 50-liters of brine in which 20 grams of salt is dissolved. Pure water is being…

A: Given: Let the rate of pumping in, Rin = 5 L / min Let the rate of pumping out, Rout = 4 L / min

Q: Suppose you are using the Runge-Kutta method to numerically approximate the solution of an…

A: We will use the fact that runga kutta method is of order 4 to answer the given question.

Q: Suppose that a new company begins its operations in 2020 and the size of the company over the next…

A:

Q: A certain species of alligators is to be introduced into a swamp, and wildlife experts estimate the…

A: Given that

Q: ) The population of the world in 2015 was 9.75 billion people and was growing at a rate of 25% per…

A: Given query is to find the expression for the population after t years.

Q: Suppose the Marginal product of labor in the economy is given by MPN= .002(16,000-N), while the…

A: a. The market-clearing wage rate equates the demand and supply of labour Solve for w first Therefore…

Q: Suppose that t years from now, one investment plan will be generating profit at the rate of…

A:

Q: Suppose that the fish population P(t)in a lake is attacked by a disease at time t=0, with the result…

A: From the given data, dPdt=βt-δtPβ=0δ=kPP0=100,000P20=1984Px=0x=?

Q: A study shows that if the government implemented energy conservation measures in 2009, the country's…

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: A certain species of deer is to be introduced into a forest, and wildlife experts estimate the…

A: A certain species of deer is to be introduced into a forest, and wildlife experts estimate the…

Q: When they invest K dollars, a fishery can produce Q(K) pounds of fish per month, where Q(K) = 104…

A: Rate of change is nothing but the change happen in any observations over a period of time. Here…

Q: It is estimated that between the hours of noon and 7:00pm, the speed of highway traffic past a…

A: Check S(t) for all values of t

Q: If f10,500 is invested fie 3 4ears at a rate of 9%.how much willyou have if interest Es compounded…

A: P=10500t=3 years.r=9%=0.09To find A

Q: Suppose that a population has a rate of growth of 0.1 and a carrying ranacity of 2 million, Şet up…

A: The population dynamics can be modeled through a first-order differential equation. It contains the…

Q: Suppose we have two 1 metre long rods. Each rod has a temperature of 0° on its left end with the…

A:

Q: Suppose that I years from now, one investment plan will be generating profit at the rate of P1'(t)=…

A: Given. P1'(t) = 90e0.1t (1000$) P2'(t) = 140e0.07t (1000$)

Q: new firm starts in business, it finds that its rate of profits (in hundreds of dollars per year)…

A: We have to find the future value function for profit.

Q: 4- Suppose that you can learn N(t)= 64t - t³ words of a new language after 1 hours of study time. a-…

A: We have to find the rate in words per hour.

Q: 4. A certain type of storage battery lasts on the average 3.0 y of 0.5 year. Assuming that the…

A: Given data,Mean μ=3.0sd σ=0.5P(X<2.3)=?

Q: The population of a certain inner-city area is estimated to be declining according to the model…

A:

Q: if the population of the lunar station at clavius is given by P=200 + 30t, where t is time in years…

A:

Q: When it comes to bacteria growing by binary fission, its generation time will be the time interval…

A: Given,              G=t3.3 logbB; G= generation time  t=  time interval in hours or minutes b=…

Q: Solve the following problems. Suppose COVID-19, a pandemic that spread worldwide has infected 40,000…

A: Given: The number of infected people on August 2020  = 40,000 The people getting infected every day…

Q: 2. Suppose a ball is thrown downward with an initial velocity of 3.00 m/s, instead of being dropped.…

A:

Q: 5. Consider the problem: A water bucket is being filled with water from a water faucet at a constant…

A:

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

A:

Q: Suppose the following graph represents the number of bacteria in a culture t hours after the start…

A: Answer is mentioned below As per the guidelines we are suppose to answer only first 3 subparts.…

Q: Suppose that when a certain lake is stocked with fish, the birth and death rates B and 8 are both…

A: (a)

Q: A certain population of bacteria doubled after 20 minutes. If it is known that it grows proportional…

A:

Q: City A has a current population of 500,00 people and grows at a rate of 3%/year. City B has a…

A: Given  City A :-  current population(P) is  500,00 people and growth rate (r) is 3% or 0.03  City B…

Q: Suppose a population can be modeled by P(t) = %3D 200(1.052)*, where P(t) is in thousands and time…

A: Exponential function: - An exponential function in mathematics is one of the form f(x)=ax, where "x"…

Q: It is projected that t years from now the population of a certain country will be changing at the…

A: We can solve this question as below

Q: A sample of 600g of radioactive lead-210 decays to polonium-210 according to the function AT) =…

A: Topic:- exponential decaying function

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

A:

Q: 2- An efficiency study of the morning shift at a certain factory indicates that an average worker…

A:

Q: Suppose a person with x years of eduction before seeking regular employment can expect to receive an…

A:

Q: Two tanks are connected as in Figure Q2b. Tank 1 initially contains 20 kilograms of salt dissolved…

A: Here we will use differential equation to solve this problem

Q: A certain radioactive isotope has a half-life of 5 days. If one is to make a table showing the…

A:

Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

A:

Q: Jesaki Inc will sell N units of product after spending $a thousand in advertising, as given by N=71…

A: Take the derivative both sides and substitute the values then simplify.

Q: It is predicted that, t years from now, the population of a certain town will be P(t) t²+5t+22…

A: Use first derivative for critical years and second derivatives to check maximum or minimum…

Q: 2- An efficiency study of the moming shift at a certain factory indicates that an average worker who…

A:

Q: A certain hermit wants to design a reactor using radioactive material A that will be converted into…

A: Topic :- Differential equation

Q: It is predicted that, t years from now, the population of a certain town will be P(t)=…

A: here t= number of years  P(t)= population in thousand the given domain is

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.