After a new firm starts in​ business, it finds that its rate of profit​ (in hundreds of​ dollars) after t years of operation is given by P'(t)=3t2+4t+9. Find the profit in year 7 of the operation.

Q: Five mice in a stable population of 500 are intentionally infected at r= 0 with a contagious disease…

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Q: A sample population of strands of the bacteria is increasing at rate proportional to the population.…

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

A:

Q: An animal has an initial population of No. From that initial population count, it grew to 705…

A: For population growth we can use logistic model of growth , Where growth depend on  current…

Q: d) A population of 100 bacteria decays at a rate of 5% each day How many bacteria, y, will there be…

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Q: Ununoctium decays naturally at the rate proportional to the original quantity. If there are 20 grams…

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

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Q: 2. One side of a right triangle is known to be 22 cm long and the opposite angle is measured as 60°,…

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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: A mathematical model for world population growth over short intervals is given by P P, e", where P,…

A:

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: s projected that x years from now the population of a certain city will be changing at the rate of…

A:

Q: Approximate the length of the curve using n secant lines for n = 2; n = 4.y=ln x, 1>=x>=3

A: We have been given a curve y=lnx and we are supposed to approximate the length of this curve between…

Q: 8. Create the equation of any function where the instantaneous rate of change when x = 1 does not…

A: Create the equation of any function where the instantaneous rate of change when x = 1 does not…

Q: The current circulation of some magazine is 3000 copies per week. The managing editor of this…

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Q: What are three methods that can be used to estimate the instantaneous rate of change in g(x) at x =…

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Q: nown to grow at a rate proportional

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

A: We will solve the radioactive decay problem.

Q: A radioactive substance decays at a rate proportional to the amount present. If the initial mass of…

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Q: Use differentials to approximate the value of <2.1.

A: Given  Find the value of 52.1

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

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Q: Investigate the root of the equation x+Ln x-5 = 0 in the range [3.2,4] using the Regula-Falsi…

A: Consider the given equation whose root is required to calculate.

Q: Total net shipments of aluminum (in billions of pounds) are approximated by g(x)=16.2+2.86ln(x+1)…

A: A) Total net shipments of aluminum (in billions of pounds) are approximated by g(x)=16.2+2.86ln(x+1)…

Q: 3. Tak-gu baked 10 loaves of bread in 1 hour. After that, he baked a dozen of bread in 80 minutes…

A: We have three points,  A = (60 min, 10 )  B = (80 min, 12 )  C = (90 min, 12)    Hence, we have…

Q: The net worth, ƒ (t), of a company is growing at a rate of f' (t) 1000 – 6t2 in dollars per year…

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Q: Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt…

A: We need to find amount after one hour.

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

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Q: Suppose the amount of oil pumped from one of canyon near the beach of island decreases at the…

A: Given query is to find the time when output will become one fifth of initial value.

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

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

A:

Q: (4) If the population of bacteria in a certain region triples in 15 days. In how many days will be…

A: Bacteria increases proportional during the period given in the problem

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

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Q: A radioactive element is known to decay at a rate proportional to its present mass. Initially, there…

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: quantity with an initial value of 220 grows continuously at a rate of 9.5% per hour. What is the…

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Q: The first derivative of the power series 3x2 3x f(x) = 3 1! 3x3 3x4 325 %3D - 2! 3! 4! 5! • is

A: Formulae: 1. e-x = 1-x/1! +x2/2! - x3/3! +x4/4!- ....... 2. d/dx{ e-x} = - e-x   Answer: f'(x)= f(x)

Q: Suppose a student is a carrier of the flu virus and returns to his isolated campus of 1000 students.…

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Q: proportional

A: We will solve the problem.

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

A:

Q: A manufacturer estimates that she can sell a maximum of 90 thousand cell phones in a city. By…

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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: Find the root of x² – e-2* = 0 using simple fixed-point iteration starting at 1. Express the results…

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Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30 °,…

A: Given,  The one side of a right triangle is 20 cm long and the opposite angle is measured as 30°,…

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

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Q: A radioactive material decays continuously at a rate proportional to the amount present. After 2…

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Q: It is projected that x years from now the population of a certain city will be changing at the rate…

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

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: