Applied Mathematics: For the Managerial, Life, and Social by Soo T. Tan PDF

By Soo T. Tan

ISBN-10: 0495559679

ISBN-13: 9780495559672

Market-leading utilized arithmetic FOR THE MANAGERIAL, existence, AND SOCIAL SCIENCES, fifth version, is a standard textual content with a marginally glossy think. This re-creation comprises know-how in this sort of approach that either conventional and glossy practitioners locate the aid they should educate successfully. carrying on with its culture of mathematical accuracy, the recent 5th version teaches by way of software and makes use of actual and real looking examples to encourage scholars. It combines strong idea with leading edge studying instruments, contains a strong complement package deal, and provides unequalled flexibility that makes the path effortless to coach. obtainable for majors and non-majors alike, the ebook makes use of an intuitive procedure that introduces summary ideas via examples drawn from universal, real-life reports to which scholars can relate. It additionally attracts purposes from readers' fields of curiosity. moreover, insightful Portfolios spotlight the careers of actual humans and talk about how they contain math into their expert lives. a variety of workouts verify scholars have a high-quality knowing of textual content recommendations earlier than advancing to the following subject. Bringing strong assets to scholars' fingertips, the text's interesting array of supplements--including better WebAssign, resolution movies, and private Tutor--equips scholars with vast studying help to aid them maximize their research time.

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Additional resources for Applied Mathematics: For the Managerial, Life, and Social Sciences, Fifth Edition

Example text

A 30 # 4xϪ2 45. c a 12. (18 ϩ 25)0 11. 19960 36. 6 Solving Equations Equations An equation is a statement that two mathematical expressions are equal. EXAMPLE 1 The following are examples of equations. a. 2x ϩ 3 ϭ 7 c. y 3y ϩ 1 ϭ yϪ2 3y Ϫ 4 b. 3(2x ϩ 3) ϭ 4(x Ϫ 1) ϩ 4 d. 2z Ϫ 1 ϭ 2 In Example 1 the letters x, y, and z are called variables. A variable is a letter that stands for a number belonging to a set of (real) numbers. A solution of an equation involving one variable is a number that renders the equation a true statement when it is substituted for the variable.

2 Exercises 41. (2u Ϫ √)(2u ϩ √) In Exercises 1–12, evaluate the expression. 1. 34 2 3. a b 3 2. (Ϫ2)5 3 4. aϪ b 4 3 3 7. Ϫ2 a b 5 2 9. 23 и 25 11. (3y)2(3y)3 44. (3m ϩ 2)2 Ϫ 2m(1 Ϫ m) Ϫ 4 3 2 3 8. aϪ b aϪ b 3 4 3 2 46. (x Ϫ 2y)( y ϩ 3x) Ϫ 2xy ϩ 3(x ϩ y Ϫ 1) 3 10. (Ϫ3)2 и (Ϫ3)3 12. (Ϫ2x)3(Ϫ2x)2 In Exercises 13–56, perform the indicated operations and simplify. 13. (2x ϩ 3) ϩ (4x Ϫ 6) 2 45. (2x ϩ 3y)2 Ϫ (2y ϩ 1)(3x Ϫ 2) ϩ 2(x Ϫ y) 4 6. Ϫ aϪ b 5 5. Ϫ43 42. (3r ϩ 4s)(3r Ϫ 4s) 43. (2x Ϫ 1) ϩ 3x Ϫ 2(x ϩ 1) ϩ 3 2 14.

2 Self-Check Exercises 1. Find the product of (2x ϩ 3y)(3x Ϫ 2y). 2. Simplify 3x Ϫ 2{2x Ϫ [x Ϫ 2(x Ϫ 2)] ϩ 1}. 2 can be found on page 14. 2 Concept Questions 1. Describe a polynomial of degree n in x. Give an example of a polynomial of degree 4 in x. 2. Without looking at the text, complete the following formulas: a. (1 ϩ b)2 ϭ ______ b. (a Ϫ b)2 ϭ ______ c. 2 Exercises 41. (2u Ϫ √)(2u ϩ √) In Exercises 1–12, evaluate the expression. 1. 34 2 3. a b 3 2. (Ϫ2)5 3 4. aϪ b 4 3 3 7. Ϫ2 a b 5 2 9. 23 и 25 11.

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Applied Mathematics: For the Managerial, Life, and Social Sciences, Fifth Edition by Soo T. Tan

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