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## Related Calculus Q&A

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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: The price per barrel of crude oil in the period 1980-2013, in constant 2014 dollars, can be…

A: To find P'(t) and P'(28).

Q: For the years 1970-2006, the percent of females in the workforce is given by y=10.956+8.280lnx,…

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Q: In 2000, the average weekly salary for workers in the United States was $567. This amount has…

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Q: The number of high school students who have ever used marijuana for the years 1990 through 2006 is…

A: The number of high school students who have ever used marijuana for the years 1990 through 2006 is…

Q: A company's revenue from selling x units of an item is given as R = 1600x - x. If sales are…

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Q: According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million…

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Q: The number of people afflicted with the common cold in the winter months dropped steadily by 25 each…

A: As ‘C’ denotes the number of people afflicted with common cold and let ‘t’ be the years after 2002…

Q: The number of people afflicted with the common cold in the winter months dropped steadily by 25 each…

A: Given, The number of people afflicted with the common cold in the winter months dropped…

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Q: The number of people afflicted with the common cold in the winter months dropped steadily by 25 each…

A: Given, Number of people afflicted in the year 2002=8040 Number of people dropped steadily by 25 each…

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Q: A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that, which equation…

A: A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that Let the number…

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Q: A store finds that its sales revenue changes at a rate given by S'(t) = -30t2 + 380t dollars per day…

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Q: A startup business projects its instantaneous rate of revenue flow to be given by R(x)=120,000e^.03t…

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Q: The number of concurrent users of a social networking site has increased dramatically since 2002. By…

A: The given function is Pt=2.4491.487t. t is the number of years after 2002. that is, t=0. Now, t is…

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Q: A company selling widgets has found that the number of items sold, x, depends upon the price, p at…

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Q: In 1990, the population of Bend, Oregon was 722. In 2000, the population had grown to 977. Using…

A: Let us denote t= years after 1990 So, 1990 means t=0 and 2000 means t=2000-1990=10 So the…

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Q: The number of Instagram monthly active users (in millions) between 2013 and 2015 can be modeled…

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Q: Crude Oil Using data for the years from 2010 andprojected to 2030, the U.S. Crude Oil production…

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Q: The math club is experiencing a growth in membership. On average, they are seeing a growth of 3%…

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Q: Suppose that a vending machine service company models its income by assuming that money flows…

A: *to find:- total income over the first 3 years. *concept:- integration of e^{ax} = (e^{ax})/a.

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Q: Life expectancy at age 65: By using the Social Security Administration data for selected year from…

A: fx=0.077x+13.8

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Q: A company selling widgets has found that the number of items sold, x, depends upon the price, p at…

A: Please see the explanation below

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Q: The rate at which photosynthesis takes place for a species of phytoplankton is modeled by the 841…

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Q: An engineer creates a model to predict the electric consumption of a household in summer in a day…

A: # consider a linear regression model y=b0+b1*X b0=23 hr & b1=1.55 hr then to find y at x=17…

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Q: A company selling widgets has found that the number of items sold, x, depends upon the price, p at…

A: Given: The equation of the number of items sold is x=700002p+1. Here, p is the price at which the…

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Q: You buy a new car for $25,000 and 2 years later, the car is valued at $17,500. Assuming that the…

A: Let us consider that after t years the car is worth C(t). Since the depreciation is linear, let C(t)…

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Q: The concentration of salt x in a homemade soap maker is given as a function of time by

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Q: Between 2006 and 2016, the number of applications for patents, N. grew by about 4.5% per year. That…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: A team of researchers finds that there is a relationship between the overall health of a forest…

A: Given function: fx=13x3+676x5+39 where, x is in tens of thousand of beetles. f(x) is thousands of…

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Q: Use the model to estimate the profit in '1991 y =

A: Given, Y = 0.85 X+ 3.78 where, Y represents profit of the company X represents years after 1980

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Q: Use the model to estimate the profit in '1991 y =

A: given: Let Y = 0.85 X + 3.78

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Q: An influenza epidemic spreads at a rate proportional to the product of the number of people…

A: An influenza epidemic spreads at a rate proportional to the product of the number of people infected…

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Q: A company's revenue from selling x units of an item is given as R = 1600x – A 2x2. If sales are…

A: The rate of increase of revenue will be the first derivative of the revenue function w.r.t time.

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Q: An engineer creates a model to predict the electric consumption of a household in summer in a day…

A: Fixed = The electric consumption is only at 26 kWh per day if aircon is not used. Variable rate = If…

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Q: Suppose and investment's value, V, can be tracked with the function v(t) = 932(1.005)120), www. ,…

A: Option D is correct answer. Detailed solution is given below.

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Q: 2. When doctors prescribe medicine, they must consider how much the drug's effectiveness will…

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Q: A company's revenue from selling x units of an item is given as R = 1700x – x2. If sales are…

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Q: The rate of U.S. per capita sales of bottled water for the period 2000-2010 can be approximated by…

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Q: In 2009 the number of vehicle sales in the United States was 10,602 and in 2013 it was 15,884.…

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Q: 3. Suppose that the water level of a river is 50 feet and that it is receding at a rate of 0.75 foot…

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Q: he differential to approximate the change in average cost per racket if production is (A) increased…

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Q: The education of women in Oman in the year 1999 was (30+5) percentages. It was increased to (75+R)…

A: Click to see the answer

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Q: Many science fiction movies feature animals such as ants, spiders, or apes growing to monstrous…

A: (a) Given - Weight is proportional to the cube of the length and the cross-sectional area of limbs…

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Q: Find the slope of the graph of the function at the given point. f(x) = V1 - x3, (-2, 3) f'(-2) =

A: Click to see the answer

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Q: The world population was 2560 million in 1950 and 3040 million in 1960. Which equation models the…

A: The solution as follows :-

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Q: anita is on a competetive rowing team . after 2 minutes the team rows at a constant speed of 4…

A: By making differential equation between distance and time

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Q: The function f(x) = 4ᴫx3/3 describes the volume, f(x), of a sphere of radius x inches. If the radius…

A: V=4πx33x inches is the radius. Formula ddxxn= n xn-1

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Q: The function f(x) = 4ᴫx3/3 describes the volume, f(x), of a sphere of radius x inches. If the radius…

A: f(x) = 4πx33 Volume of sphere , f(x) = 4πx33 where, x is the radius of sphere in inches.…

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Q: The annual revenue earned by Target for fiscal years 2004 through 2010 can be approximated by R(t) =…

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Q: It takes Josephine 34 minutes to complete her homework assignment of 10 problems. If we assume that…

A: lets say number of problems = n