By Soo T. Tan
Renowned for accuracy, Soo Tan's utilized CALCULUS FOR THE MANAGERIAL, existence, AND SOCIAL SCIENCES, 8th version balances purposes, pedagogy, and expertise to supply scholars the context they should remain encouraged within the path and attracted to the fabric. available for majors and non-majors alike, the textual content makes use of an intuitive process that introduces summary strategies via examples drawn from universal, real-life studies to which scholars can relate. It additionally attracts purposes from readers' fields of curiosity. additionally, insightful Portfolios spotlight the careers of genuine humans and talk about how they comprise math into their day-by-day operations. quite a few exercises--including new Diagnostic Tests--ensure scholars have an effective knowing of techniques earlier than advancing to the subsequent subject. Algebra assessment notes, keyed to the overview bankruptcy Preliminaries, look the place scholars desire them, once they desire them. Bringing robust assets to students' fingertips, the text's interesting array of vitamins, together with better net Assign, equips scholars with broad studying aid to assist them maximize their research time.
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Additional info for Applied Calculus for the Managerial, Life, and Social Sciences (8th Edition)
9x 3 Ϫ 18x 2 ϩ 17x Ϫ 12 b. (2x Ϫ y)(3x ϩ y) 2 2 2 2 11 Ϫ 12 2; 11 ϩ 12 2 3 3 6. a. 3x12x ϩ 2x ϩ 1 2 3 7. a. 2 b. 1x ϩ 2 2 1x ϩ 3 2 b. 41t 2 Ϫ 4 2 1t 2 ϩ 4 2 2 1x 2 ϩ 2 2 1x 3 ϩ 1 2 x 1x ϩ 2 2 1x Ϫ 3 2 311 Ϫ 2 1x 2 8. a. 9. x 3 z1 xy b. x 21 ϩ 3x 2 13x 2 Ϫ 5x ϩ 1 2 1x Ϫ 1 2 2 2 b. c , 2 d 3 10. a. 2 review some basic concepts and techniques of algebra that are essential in the study of calculus. The material in this review will help you work through the examples and exercises in this book. You can read through this material now and do the exercises in areas where you feel a little “rusty,” or you can review the material on an as-needed basis as you study the text.
Use the distance formula to help you describe the set of points in the xy-plane satisfying each of the following inequalities. a. (x Ϫ h)2 ϩ ( y Ϫ k)2 Յ r 2 b. (x Ϫ h)2 ϩ ( y Ϫ k)2 Ͻ r 2 c. (x Ϫ h)2 ϩ ( y Ϫ k)2 Ն r 2 d. (x Ϫ h)2 ϩ ( y Ϫ k)2 Ͼ r 2 2. Consider the equation x 2 ϩ y2 ϭ 4. a. Show that y ϭ Ϯ 24 Ϫ x 2. b. Describe the set of points (x, y) in the xy-plane satisfying the following equations: (i) y ϭ 24 Ϫ x 2 (ii) y ϭ Ϫ24 Ϫ x 2 APPLIED EXAMPLE 4 Cost of Laying Cable In Figure 14, S represents the position of a power relay station located on a straight coastal highway, and M shows the location of a marine biology experimental station on an island.
6 ϩ 2 ͉ 60. 4 ϩ ͉ Ϫ4 ͉ | Ϫ12 ϩ 4 | | 16 Ϫ 12 | 62. 4 86. MARKUP ON A CAR The markup on a used car was at least 30% of its current wholesale price. If the car was sold for $5600, what was the maximum wholesale price? 68. | 2 13 Ϫ 3 | Ϫ |13 Ϫ 4 | 87. QUALITY CONTROL PAR Manufacturing manufactures steel rods. 5 in. 49 in. 51 in. Letting x denote the diameter of a rod, write an inequality using absolute value signs to express a criterion involving x that must be satisfied in order for a rod to be acceptable.