The population of a city is expected to be P(x) = x(x2 + 16)-1/2 million people after x years. Find the average population between year x = 0 and year x = 3. million

Q: A soccer ball manufacturer is planning to expand its workforce. It estimates that the number of…

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Q: The total daily profit (in thousands of pesos) of a certain food company for the sale of x boxes of…

A: Given query is to find the number of box needs to be produced to maximize the profit.

Q: The number of insects in a colony is known to multiply at a rate proportional to the number of…

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Q: The Corona Virus, that started to spread in many countries in early 2020, is more contagious than…

A: It is given that: Infection rate = 10 to 25 people per million (PPM) Mortality rate = 1000 to 2500…

Q: This week a factory is producing 50 units of a particular commodity, and the amount being produced…

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Q: A certain forest covers an area of 2100  km2 . Suppose that each year this area decreases by 9% .…

A: ANSWER:

Q: he amount of a certain radioactive substance decreases by 15% every hour. If a sample starts with…

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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 the critical points of the function f(x)=2x^2−4x.

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Q: A manufacturer estimates that she can sell a maximum of 105 thousand cell phones in a city. By…

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Q: A population of mosquitoes increases at a daily rate of 1/2 times the current population. You can…

A: Given that A population of mosquitoes increases at a daily rate of 1/2 times the current population.…

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: Find all critical points of the function: f (x) = 7x − 2

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

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Q: Sales of fine-cut cigarettes (in millions) in a country are given by y = - 14.898x2 + 356.467x +…

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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: A study of the exercise habits of 17,000 alumni from a certain college found that the death rate…

A: We are given the death rate function as R(x)=5x² − 35x + 108 where x is the weekly amount of…

Q: A study of the exercise habits of 17,000 alumni from a certain college found that the death rate…

A: Solve the problem

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

A: Given:

Q: The critical point for the function ƒ(x)= x² – 3x is

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Q: A cigar manufacturer produces x cases of cigars per day at a daily cost of 50x(x + 200)>(x + 100)…

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Q: Find a 4th degree function that has solutions X=-4-2/3 and x=-4+2/3, x=2i and x=-2

A: See the attachment

Q: How many critical points does the function f(x)=∣∣x3−12x∣∣ have?

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Q: 2) Find all relative extrema of ƒ(x)= x* – 4x³

A: Answer

Q: The population of the United States is predicted to be P(t) = 310e0.0073t million, where t is the…

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Q: An articlet in The New York Times states, "The number of gas stations [in a city] grows only in…

A: We will use the given relation between population and gas station.

Q: A population of insects increases at a rate of 75 + 5t + 0.2t^2 insects per day. If there are…

A: We have given that population of insects increases at a rate of 75+5t+0.2t2 insects per day.…

Q: Find the local minimum and local maximum values of the function g(x) = 6x2− 4x3 using both the First…

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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: Find the average rate of change of f(x) = 3x2 - x from x1 = -1 to x2 = 2.

A: The given function is fx=3x2-x.

Q: Find the positive critical point of the function f (x) = x / x^4 + 4

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Q: Consider the production function:  Y = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output…

A: The given production function: y=0.75x+0.0042x2-0.000023x3  .......1 Differentiate both sides with…

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: : Find the critical points of the function f(x) = 5æ² – 10x. -

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Q: Find the critical points of the function f(x)=x2−4x+3x−2.

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Q: Find the critical point(s) of the function f(x) = x³ + x−³+2.

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

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Q: The population of a bacteria increases at a rate proportional to the present number of bacteria ‘P0’…

A: Given problem is : The population of a bacteria increases at a rate proportional to the present…

Q: What is the first derivative of p(æ) = In (4x3 + x² +1)?

A: Given function is p(x)=ln4x3+x2+1

Q: A manufacturer estimates that she can sell a maximum of 105 thousand cell phones in a city. By…

A: image is attached

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: During a certain epidemic, the number of people that are infected at any time increases at a rate…

A: image is attched

Q: The population of certain species of bats doubles every five hours, initially there are 40 Båts (a)…

A: General formula for exponential growth is given by P(t)=P0ert. Since initially there are 40 bats…

Q: find the critical valves of f(x)= 3x?

A: We can find the critical values as below.

Q: find the critical points of the function f(x)=5x3-75x

A: fx=5x3-75x Differentiating with respect to x, we get f'x=53x2-751=15x2-75

Q: The function f(x) = 2x³ – 27x² + 108x + 9 has derivative f'(x) = 6x² – 54x + 108. f(x) has one local…

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Q: Rank the functions x100, ln x10, xx, and 10x in order of increasinggrowth rates as x→ ∞.

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Q: Q3\ Find the second derivative of the funetion F(x)= 3x + 2x - 6x2 -4

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