f the population of a certain county was 100,000 in 1998 and 110,517 in 2008 and the for- mula y 5 P0eht applies to the growth of the co

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

Q: 2x усха=<,ex + Czerx + зе + 3х. у сол=а, ў' сог=0

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Q: Suppose a man is 30 years old and would like to retire at age 60. Furthermore, he would like to have…

A: In the question  it is asked to calculate the amount of money that a person would save in order to…

Q: In a hypothetical city, there is a population of 200,000 people.  During the year 2000, there were…

A: The total number of people in the population is 200,000.

Q: It is observed that a certain bacteria culture has a relative growth rate of 12% per hour, but in…

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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.

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A: Given - The AMA makes electric bike investment. One out of every 50 electric bike is faulty, but AMA…

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

Q: A tank initially contains of 50 litres of brine solution with 20kg of dissolved salt. A brine…

A: Given the rate of flow in is 4 L/min and flow out is 2 L/min. So per minute the solution is…

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Q: (For Bacteriologists). In one of your Basic Calculus sessions, a top of the class Grade- 12 student…

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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 population of Coloradoin 2000 was approx. 3,700,000 With. an annualincrease of 2. Find…

A: Here the initial population of the colorado was 3,700,000 in the year 2000. Let t be the time in…

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: 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=…

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Q: Suppose that a healthy population of some species is growing in a limited environment and that the…

A: Given, M0 is initial carrying capacity P0 is initial population M1 is carrying capacity after…

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A:

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

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Q: The radiator car is filled with a solution of 65% antifreeze and 35% water. The manufacturer of the…

A: The capacity of the radiator is 3.9L.Let x be the amount of coolant to be drained.

Q: is uslng Newton-Raphson method with 10 iterations y = -x² + x + 0.75 y + 5xy = x Employ initial…

A: solve the system of equation using initial gusses of x=y=1.2  y=-x2+x+0.75   ⇒…

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: 2. The liquid base of an ice cream has an initial temperature of 210°F before it is placed in a…

A: Given : The liquid base of an ice cream has an initial temperature of    To find at what time will…

Q: Suppose stock A is priced at $30/share and the company will pay a dividend of $0.30/share after two…

A: Given: stock A is priced at $30/share and the company will pay a dividend of $0.30/share after two…

Q: A species of butterflies is calculated to triple the size of its population every year. Which of the…

A: Current number of butterflies=1500

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…

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

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Q: the fuel efficiency for a certain mid size car is given by E(v)=-0.018v^2 + 1.476v+ 3.4 where E(v)…

A: The fuel efficiency for a certain mid size car is given by  Ev=-0.018v2+1.476v+3.4 The given…

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: Solve the initial value problem Using undetermined coefficients method. y tayot y co) 20

A: Given- y'+2y=t , y0=0 To solve the given initial value problem using undetermined coefficients…

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

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A: Given : (t2+1)y'+y2+1=0,   y(3)=2

Q: 4. One bucket starts at noon with two liters of water, and water is gradually leaking out at a rate…

A: As per our guidelines I am solving only first problem please repost other question.     For first…

Q: which 20 grams of salt is dissolved. Pure water is being pumped into the tank at a rate of 5…

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Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: It is minimum average cost per unit problem.

Q: 2. The population of a city grows from a initial size of 1000,

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Q: Solve the initial-value problem for yy as a function of xx. (64−x2)dydx=1,y(0)=5(64-x2)dydx=1,y(0)=5

A: (64-x2)dydx=1⇒dy=dx64-x2integrating,                ∫dy=∫dx64-x2+c      [c=…

Q: Solve the initiall- value problem: - Cad- Smスtみ o<メsos, Using Adams- Moulton method w0rking to s…

A: Given - dydx = cosx - sinx + y , 0 ≤ x ≤ 0.5 , y0 = 0 To find - Solve the initial - value problem…

Q: ion of a city in 2000 was 900,000 while the at demographic studies show that each ye ile 3% of the…

A: Given,   City Suburbs of the city Population in the year 2000 900,000 400,000

Q: . Use the variation of parameters formula together with the exponential from part 3) to find the…

A: As per the question we have the following second order linear non-homogeneous differential equation…

Q: Consider a poputation Piti satistying the extinction expiosion equation-ap - bP. where B= aPis the…

A: Given- Consider a population Pt satisfyinf the extinction explosion equation dPdt = aP2 - bP, where…

Q: 2) Solve the following initial value problem using the method of variation of parameters Yo = 2.

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: 11A The gross primary productivity of an ecosystem is 3.5 kgC/m2/year, and the energy needed by the…

A: Part(a): Given, Gross primary productivity =3.5 kgC/m2/year And energy needed for their own…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.