Applied Calculus, Fifth Edition by Andrew M. Rockett Geoffrey C. Berresford PDF

By Andrew M. Rockett Geoffrey C. Berresford

ISBN-10: 0547169787

ISBN-13: 9780547169781

This article for the only- or two-semester utilized or company calculus path makes use of exciting real-world purposes to have interaction scholars' curiosity and express them the sensible aspect of calculus. Many functions are monetary or company comparable, yet many functions during this textual content hide general-interest issues in addition, together with the transforming into inhabitants of Africa, the composition of the preferrred courtroom, water scarcity, the quickest pitch in baseball, and toxins and the depletion of common assets. The 5th variation continues the hallmark beneficial properties that experience made utilized Calculus so renowned: modern and fascinating functions; cautious and potent use of know-how, together with built-in calculator insurance that's non-compulsory; consistent pedagogical reinforcement via part summaries, bankruptcy summaries, conscientiously annotated examples, and additional perform difficulties; and numerous workouts and project suggestions together with workout units, initiatives, and essays.

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Extra resources for Applied Calculus, Fifth Edition

Example text

BUSINESS: Mobile Phones Total mobile phone sales in recent years are given in the following table. 9 (millions of units) a. Number the data columns with x-values 1–6 (so that x stands for years since 2001), use power regression to fit a power curve to the data, and state the regression formula. ] Conceptual Exercises 99. Should √9 be evaluated as 3 or Ϯ3? 100–102. For each statement, either state that it is True (and find a property in the text that shows this) or state that it is False (and give an example to show this).

B. Interpret the slope of the line. c. Use the regression line to predict Internet access in the year 2012. 14 CHAPTER 1 FUNCTIONS Solution a. We number the years with x-values 1–6, so x stands for years since 2000 (we could choose other x-values instead). We enter the data into lists, as shown in the first screen below (as explained in Graphing Calculator Basics— Entering Data on page xxiii), and use ZoomStat to graph the data points. 9 L2(1)=47 Then (using STAT, CALC, and LinReg), graph the regression along with the data points.

7 million units. a. 7) to find the linear relationship y ϭ mx ϩ b between x ϭ Years Since 2000 and y ϭ Sales (in millions). b. Interpret the slope of the line. c. Use the linear relationship to predict sales in the year 2015. Source: Euromonitor International 60. ECONOMICS: Per Capita Personal Income In the short run, per capita personal income (PCPI) in the United States grows approximately linearly. 4 (both in thousands of dollars). Source: Bureau of Economic Analysis a. 4) to find the linear relationship y ϭ mx ϩ b between x ϭ years since 1990 and y ϭ PCPI.

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Applied Calculus, Fifth Edition by Andrew M. Rockett Geoffrey C. Berresford


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