By Soo T. Tan

Within the market-leading CALCULUS FOR THE MANAGERIAL, existence, AND SOCIAL SCIENCES, Soo T. Tan offers a correct, available presentation of calculus mixed with simply the suitable stability of purposes, pedagogy, and expertise to aid scholars achieve the direction. the recent 7th version contains hugely attention-grabbing present purposes and workouts to assist stimulate pupil motivation. a thrilling new array of supplementations, together with iLrn instructional and the Interactive Video Skillbuilder CD-ROM, offers scholars with vast studying help so teachers can have extra time to target instructing the center recommendations.

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**Extra info for Calculus for the managerial, life, and social sciences, (7th Edition) **

**Sample text**

12m n и œ3m n ෆ 27x 6 œ3 Ϫ c. ᎏᎏ 8y3 œ3 ෆ Solution 4 ෆ a. ͙ 16x 4y8 ϭ (16x 4y8)1/4 ϭ 161/4 и x 4/4y 8/4 ϭ 2xy 2 3 5 8 2 ෆ ෆ ෆ b. œ12m n и œ3m n ϭ œ36m nෆ ϭ (36m8n2)1/2 ϭ 361/2 и m8/2n2/2 ϭ 6m4n 3 ෆ ͙ Ϫ27x6 (Ϫ27x6)1/3 Ϫ271/3x6/3 3x 2 ᎏ ϭ ᎏ ᎏ ϭ ᎏ ᎏ ϭ Ϫᎏ ᎏ c. ᎏ 3 (8y 3)1/3 81/3y3/3 2y y3 ͙8ෆ If a radical appears in the numerator or denominator of an algebraic expression, we often try to simplify the expression by eliminating the radical from the numerator or denominator. This process, called rationalization, is illustrated in the next two examples.

In Example 10, page 38, you will see how the manager of a local sporting goods store used sales figures from the © Taxi/Getty Images previous years to predict the sales level for next year. T HE FIRST TWO sections of this chapter contain a brief review of algebra. We then introduce the Cartesian coordinate system, which allows us to represent points in the plane in terms of ordered pairs of real numbers. This in turn enables us to compute the distance between two points algebraically. This chapter also covers straight lines.

1000 1 In Exercises 29–34, find an equation of the circle that satisfies the given conditions. 29. Radius 5 and center (2, Ϫ3) 30. Radius 3 and center (Ϫ2, Ϫ4) 31. Radius 5 and center at the origin 32. Center at the origin and passes through (2, 3) 33. Center (2, Ϫ3) and passes through (5, 2) 34. Center (Ϫa, a) and radius 2a 2 B (400, 300) A (0, 0) x (miles) 1000 38. MINIMIZING SHIPPING COSTS Refer to the figure for Exercise 37. Suppose a fleet of 100 automobiles are to be shipped from an assembly plant in town A to town D.