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- Suppose the range of a function fis [5,8] . What is the range of |f(x)| ?When Limiting Values Occur Suppose S(t) represents the average speed, in miles per hour, for a 100-mile trip that requires t hours. Explain why we expect S to have a limiting value.An analysis of passenger traffic at Daytona Beach International Airport over the past 40 years shows that the number of passengers using the airport each year can be modeled by the function P(x) = 134x3 - 8335x2 + 138,607x + 222,284, where x represents the number of years since 1980 and the domain is [0, 40]. Answer the following questions. All work must be shown. a. At what rate was the passenger traffic changing in 2015? Label and interpret your answer. b. Evaluate P(25), P ' (25), and P '' (25). Label and interpret the answers. What do these answers tell you about passenger traffic in that year? c. Determine the relative/absolute extrema of the function on the interval. Interpret the meaning of the answer. d. What is the POI and what does it tell you about passenger traffic?
- Suppose f is a continuous function on [a,b] and suppose that f(a) < 0 and f(b) > 0 What can you say about the number of times that the graph of f crosses the x-axis? What about the number of times the graph of f touches the x-axis? Explain your reasoning.The function describes the number of people, f(t), who have become ill with influenza t weeks after its initial outbreak in a town with 30,000 inhabitants. a. How many people became ill with the flu when the epidemic began? b. How many people were ill by the end of the fourth week? c. What is the limiting size of f(t), the population that becomes ill?How do I find a function to determine the perimeter for the nth figure? It also says a table should be made to organize solution
- a company bought the k machine for 2.000 $ The value of the machine decreases over time depending on the f(t) = P 0e-0,07t function. When will the value of the machine be 20 $ ? Please explain whether the value of the machine is 0 mathematically according to this model.I don't understand how this problem was worked nor how the numbers make sense. How does 110-67=6.700? Shouldn't the formula start with 1/b-a not 1b-a? This is confusing. https://www.bartleby.com/questions-and-answers/.-the-function-is-continuous-on-the-interval-10-20-with-some-of-its-values-given-in-the-table-above./a40e8467-066f-4fce-a115-cbff670bf91eWhat happens to the function as ? approaches −2 from the left compared to approaching it from the right. Is the function continuous at ? = −2? Explain your answer. What is the value of the function when ? approaches 2? Is the function continuous at ? = 2? Explain your answer.
- Donna has 280 meters of fencing and wishes to enclose a rectangular field. Suppose that a side length (in meters) of the field is x. a. Find a function that gives the area A(x) of the field (in sq meters) in terms of x. b. What side length x gives the maximum area that the field can have? c. What is the maximum area that the field can have?The function models the number of people, f(t), in a city who have become ill with influenza t weeks after its initial outbreak. a. How many people became ill with the flu when the epidemic began? b. How many people were ill by the end of the sixth week? c. What is the limiting size of f(t), the population that becomes ill?Describe the Discontinuity Functions?