Concept explainers
A function of the form
a. Write an equivalent function using base e; that is, write a function of the form
b. The population of the two given countries is very close for the year 2000, but their growth rates are different. Use the model to approximate the year during which the population of each country reached 5 million.
c. Costa Rica had fewer people in the year 2000 than Norway. Why would Costa Rica reach a population of 5 million sooner than Norway?
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COLLEGE ALG.+TRIG.-LOOSELEAF
- Poultry Farming Researchers at Iowa State University and the University of Arkansas have developed a piecewise function that can be used to estimate the body weight in grams of a male broiler during the first 56 days of life according to W(t)={48+3.64t+0.6363t2+0.00963t3if1t28,1004+65.8tif28t56, Where t is the age of the chicken in days. Source: Poultry Science. a. Determine the weight of a male broiler that is 25 days old . b. Is W(t) a continuous function? c. Use a graphing calculator to graph W(t) on [1,56] by [0,3000].Comment on the accuracy of the graph. d. Comment on why researchers use two different types of functions to estimate the weight of a chicken at various ages.arrow_forwardUse your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.arrow_forwardMedical Literature It has been observed that there has been an increase in proportion of medical research papers that use the word novel in the title or abstract, and that this proportion can be accurately modeled by the function p(t)=0.001131e0.1268t, where t is the number of years since 1970. Source: Nature. a. Find p(40). b. If the phenomenon continues, estimate the year in which every medical article will contain the word novel in its title or abstract. c. Estimate the rate of increase in the proportion of medical papers using this word in the year 2010. d. Explain some factors that may be contributing to researchers using this word.arrow_forward
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