By Andrew M. Rockett Geoffrey C. Berresford

ISBN-10: 0547169787

ISBN-13: 9780547169781

This article for the single- or two-semester utilized or enterprise calculus path makes use of interesting real-world functions to have interaction scholars' curiosity and convey them the sensible facet of calculus. Many purposes are monetary or company similar, yet many purposes during this textual content conceal general-interest themes in addition, together with the transforming into inhabitants of Africa, the composition of the preferrred courtroom, water scarcity, the quickest pitch in baseball, and pollutants and the depletion of common assets. The 5th variation continues the hallmark beneficial properties that experience made utilized Calculus so renowned: modern and engaging functions; cautious and powerful use of know-how, together with built-in calculator insurance that's non-compulsory; consistent pedagogical reinforcement via part summaries, bankruptcy summaries, rigorously annotated examples, and additional perform difficulties; and various workouts and project innovations together with workout units, initiatives, and essays.

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**Additional resources for Applied Calculus, Fifth Edition **

**Sample text**

Solutions to Practice Problems 1. Ϫ1,000,000 [the negative sign makes it less than (to the left of) the positive 1 number 100 ] 2. a. { x ͉ x Ն Ϫ7 } b. The set of all x such that x is less than Ϫ1 3. a. S1 b. 1 4. m ϭ 7Ϫ1 6 ϭ ϭ3 4Ϫ2 2 y Ϫ 1 ϭ 3(x Ϫ 2) REAL NUMBERS, INEQUALITIES, AND LINES 15 From points (2, 1) and (4, 7 ) Using the point-slope form with (x 1, y1 ) ϭ (2, 1) y Ϫ 1 ϭ 3x Ϫ 6 y ϭ 3x Ϫ 5 5. x ϭ Ϫ 2 y 3 6. x Ϫ ϭ 2 Ϫ y ϭ Ϫx ϩ 2 3 Subtracting x from each side y ϭ 3x Ϫ 6 Multiplying each side by Ϫ3 Slope is m ϭ 3 and y-intercept is (0, Ϫ6).

State the regression formula. ] b. Interpret the slope of the line. c. Use the regression line to predict slot revenues at the casino in the ﬁscal year 2011–12. Source: Connecticut Division of Special Revenue 70. S. for recent quarters is shown in the following table. 8 (millions) a. Number the data columns with x-values 1–8 and use linear regression to ﬁt a line to the data. State the regression formula. ] b. Interpret the slope of the line. From your answer, what is the yearly increase? c. Use the regression line to predict the number of satellite radio subscribers in the 4th quarter of 2010.

B. Interpret the slope of the line. From your answer, what is the yearly increase? c. Use the regression line to predict the number of satellite radio subscribers in the 4th quarter of 2010. Source: Standard & Poor’s Industry Surveys 71–72. BIOMEDICAL SCIENCES: Life Expectancy The following tables give the life expectancy for a newborn child born in the indicated year. ) 71. 6 72. Expectancy Clearly, as people age they should expect to live for fewer additional years. The following graph gives the future life expectancy for Americans of different ages.

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

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