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- Farms in the United States The graph gives the number of farms in the United States from 1850 to 2000. aEstimate the average rate of change in the number of farms between i 1860 and 1890 and ii 1950 and 1970. bIn which decade did the number of farms experience the greatest average rate of decline?arrow_forwardDVD Player sales The table shows the number of DVD play-ers sold in a small electronics store in the years 2003-2013. What was the average rate of change of sales between 2003 and 2013? Whatwas the average rate of change of sales between 2003 and 2004? What was the average rate of change of sales between 2004 and 2005? Between which two successive years did DVD player sales increase most quickly?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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