By James Stewart, Lothar Redlin, Saleem Watson
This top promoting writer crew explains strategies easily and obviously, with no glossing over tough issues. challenge fixing and mathematical modeling are brought early and strengthened all through, supplying scholars with a high-quality origin within the ideas of mathematical pondering. accomplished and calmly paced, the publication presents entire assurance of the functionality notion, and integrates an important volume of graphing calculator fabric to aid scholars increase perception into mathematical principles. The authors' realization to element and readability, just like present in James Stewart's market-leading Calculus booklet, is what makes this publication the industry chief.
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Extra info for Algebra and Trigonometry , Third Edition
A 12 B A 52 B 4 y10y0 7 y 28. 3Ϫ1 Ϫ 3Ϫ3 30. 13y2 2 14y5 2 33. „Ϫ2„Ϫ4„ 6 36. x6 x10 39. 12y2 2 3 34. z 5zϪ3zϪ4 37. a9aϪ2 a 40. 18x 2 2 42. 12a3a2 2 4 43. 13z 2 2 16z2 2 Ϫ3 44. 12z2 2 Ϫ5z10 45. a 46. a a2 3 b 4 3x4 2 b 4x2 47–72 ■ Simplify the expression, and eliminate any negative exponent(s). 47. 14x2y4 2 12 x5y 2 60. 3 a2 5 a3b2 3 b a 3 b b c 8a3bϪ4 2aϪ5b5 1u3√Ϫ2 2 3 73–80 66. 3a Ϫ1 b b3 y Ϫ2 5x b Ϫ3 qϪ1rϪ1sϪ2 rϪ5sqϪ8 ■ b Ϫ1 12√ 3„ 2 2 √ 3„ 2 62. a 64. 1uϪ1√ 2 2 2 x5y3 2x3y2 2 x4z2 b a b z3 4y5 5xyϪ2 xϪ1yϪ3 1rs2 2 3 1rϪ3s2 2 2 x2y 2y 70.
Calculate TO Ϫ TG and 0 TO Ϫ TG 0 for each day shown. Which of these two values gives more information? Daily high temperature (*F) 31. (a) B ʜ C C ϭ 5x ƒ Ϫ1 Ͻ x Յ 56 7 Ϫ 12 ` 12 Ϫ 7 Find the distance between the given numbers. 29. (a) A ʜ C B ϭ 5x ƒ x Ͻ 46 (b) ƒ AϪ13 B 1Ϫ152 ƒ Ϫ6 ` 24 58. (a) ` Ϫ1 ƒ Ϫ1 ƒ (b) Ϫ1 Ϫ Ȋ 1 Ϫ ƒ Ϫ1 ƒ Ȋ 57. (a) ƒ 1Ϫ2 2 # 6 ƒ 61. (a) 2 and 17 A ϭ 5x ƒ x Ն Ϫ26 (b) 56. (a) Ȋ 2 Ϫ ƒ Ϫ12 ƒ Ȋ (b) B ʝ C Find the indicated set if 52. 1Ϫq, 64 പ 12, 10 2 Evaluate each expression.
A) Ϫa (b) Ϫc (c) bc (d) a Ϫ b (e) c Ϫ a (f) a Ϫ bc (g) c 2 (h) Ϫabc 65. Mailing a Package The post office will accept only packages for which the length plus the “girth” (distance around) is no more than 108 inches. Thus for the package in the figure, we must have (a) Will the post office accept a package that is 6 in. wide, 8 in. deep, and 5 ft long? What about a package that measures 2 ft by 2 ft by 4 ft? (b) What is the greatest acceptable length for a package that has a square base measuring 9 in.