The population P of a certain small-town t years from now is predicted to be p(t) = 35000+ (10000/(t+2)3). In your own method estimate the population of the town in the long run

Q: The decay equation for radon-222 gas is known tobe y = y0e^-0.18t, with t in days. About how long…

A:

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

A:

Q: How can the mortality force be changed for the share of newborns who will survive the first year…

A: For yearly compounded,        P=P0 1+rnt   where,        n=1        and r=rate of changed…

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

A:

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

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: From 1975 to 2009, the age-adjusted incidence rate of invasive lung and bronchial cancer among women…

A: Given that the age-adjusted incidence rate of invasive lung and bronchial cancer among women can be…

Q: Find (0) for a solution (x) to the initial value problem

A:

Q: A 200 g sample of radioactive polonium-210 has a half-life of 138 days. This means that every 138…

A:

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

A:

Q: A 200 g sample of radioactive polonium-210 has a half-life of 138 days. This means that every 138…

A:

Q: 2. The population of a certain state is known to grow at a rate proportional to the number of people…

A: 2) Given:         Rate of increase of the population of the state is proportional to the number of…

Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 95% of the…

A: It is given days half-life of polonium is 139 days. By the definition of half life, A139=12A0

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: Q2 find the optimal solution of the first stage (Phase I only) of the prime LP: Minz = 2x, + x2 s.t…

A: Linear Programming is a mathematical technique to optimize the given constraints.

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per…

A: Given problem:- The population of the world in 2015 was 9.75 billion people and was growing at a…

Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 95% of the…

A:

Q: A colony of rats is transplanted into an island environment by stowing away on a cargoship. The…

A: Given that  A colony of rats is transplanted into an island environment by stowing away on a…

Q: Lake Taal has a volume of 458 cubic km, and its rate of inflow and outflov are both 175 cubic…

A:

Q: A lake has a water volume of 450 km³ and a flow rate (in and out) of 175 km³ per year. If at some…

A: The rate of change in pollution equals the product of the flow rate and pollution change. Therefore…

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: Element X is a radioactive isotope such that every 4 years, its mass decreases by half. Given that…

A:

Q: 3 In a community in which R elderly people and people with comorbidities are susceptible to a…

A:

Q: Consider the IVP: x" + (x')² + 10tx = 0, x(0) - 3, x'(0) = 2 Using the Euler method with a time step…

A: The initial value problem given is as follows: x''+x'2+10tx=0,  x0=-3, x'0=2…

Q: Find the solution of the initial value problem

A:

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

A:

Q: A certain type of bacteria, given a favorable growth medium, doubles in population every 6.5 hours.…

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: Solve the initial- value problem:

A: We are given the Problem: ⇒dydx=cos x-sin x+y ⇒dy=(cos x-sin x+y)dx Now , integrating both sides, we…

Q: The population of mosquitoes in a certain area increases at a rate proportional to the current…

A:

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

A:

Q: 1. Solve one real root of e* – 2x – 5 = 0 with xo = -2 using the Fixed-Point Iteration Method…

A: I am doing first question

Q: The​ half-life of polonium is 139​ days, but your sample will not be useful to you after 91​%of the…

A:

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

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

Q: Q3: Solve the initial value problem by using Predictor method for two iterations: ý=y-x² +1, 0≤x≤2,…

A: Sol

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

A: Population of fish

Q: A bacterial colony is rapidly expanding. It has 10 bacteria at time t=0 and 2000 bacteria at time…

A: As per our guidelines we only solve first question and rest of the question will be reposted.

Q: The decay equation for radon-222 gas is known to be y = y0 e-0.18t, with t in days. About how long…

A: The decay equation for radon-222 gas is known to be y = y0 e-0.18t, with t in days. About how long…

Q: Solve the initial value problem by the linear or separable method

A:

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

A:

Q: The biomass of a yeast culture in an experiment is initially 29 grams. After 30 minutes the mass is…

A:

Q: Some initial value problems do not have unique solutions صواب ihi

A: Yes statement is true: y(t)=0 for t∈[0,1] and y(t)=(t−1)^2 for t≥1.

Q: he​ half-life of polonium is 139​ days, but your sample will not be useful to you after 83​%of the…

A: The given data is: The​ half-life of polonium is 139​ days but your sample will not be useful to you…

Q: Find the solution of the initial value problem substitution y-erX in to given defind

A:

Q: After 12 hours, half of a 16 gram sample of a radioactive element remains. Find the constant k for…

A:

Q: Suppose a population can be modeled by 50 P(t) = where time is in years since 2005. (1+75e--5t)…

A:

Q: 2. Solve x3 + x² – 1 = 0, correct to three decimal places by using fixed point | iteration method.

A: Given: x3+x2-1=0

Q: The population of a certain bacteria culture was 49,271 after 15 hours had elapsed. After another 22…

A: Given that the population of a certain bacteria culture was 49,271 after 15 hours had elapsed.After…

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.