Algebra and trigonometry, 2nd Edition by James Stewart

By James Stewart

This top promoting writer group explains ideas easily and obviously, with no glossing over tricky issues. challenge fixing and mathematical modeling are brought early and bolstered all through, in order that while scholars end the direction, they've got an excellent beginning within the rules of mathematical considering. This entire, frivolously paced e-book presents entire insurance of the functionality inspiration and integrates mammoth graphing calculator fabrics that support scholars improve perception into mathematical rules. The authors' awareness to element and readability, as in James Stewart's market-leading Calculus textual content, is what makes this article the industry chief.

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001 43–60 ■ Simplify the expression and eliminate any negative exponents(s). Assume that all letters denote positive numbers. 43. 5 1/3 4 4 33. 75 4 4 32. 1 48 Ϫ 1 3 3 (b) 1 Ϫ64 2/3 17. (a) 100 5 5 31. 1 96 ϩ 1 3 3 2 3 4 40. 2 a b2 a b (b) Ϫ2/3 3 3 30. 1 24 Ϫ 1 81 5 6 7 39. 1 29. 1245 Ϫ 1125 4 (c) 2161 (b) 1256 12. (a) 27 228 28. 18 ϩ 150 4 (b) 216 4 249 3 33–42 ■ Simplify the expression. Assume the letters denote any real numbers. 1 8. 22. 1xy2 2z 23. 132 ϩ 118 3 Ϫ3/2 4 3 20. 2 x ϩ 14y ϩ 2z Simplify the expression.

13a 2 1b ϩ c Ϫ 2d2 17. 412m 2 21–26 ■ 21. (a) 22. (a) 2 3 ϩ Ϫ 2 3 A6 4 15 3 5 Ϫ 3 2B 24. (a) A3 ϩ 14 B A1 Ϫ 45 B 25. (a) 2 2 3 Ϫ 2 3 2 35–38 ■ (b) 1 4 ϩ 1 5 (b) 1 ϩ Ϫ 5 8 (b) A 12 Ϫ 13 B A 12 ϩ 13 B C ϭ {7, 8, 9, 10} 35. (a) A ʜ B (b) A ʝ B 36. (a) B ʜ C (b) B ʝ C 37. (a) A ʜ C (b) A ʝ C 38. 25A 89 ϩ 12 B (b) Find the indicated set if A ϭ {1, 2, 3, 4, 5, 6, 7} 18. 43 1Ϫ6y 2 Perform the indicated operations. 3 10 23. (a) 19 39. 67 0 20 CHAPTER P Prerequisites 40. (a) A ʝ C (b) A ʝ B 41–46 ■ Express the interval in terms of inequalities, and then graph the interval.

A c a d Ϭ ϭ # b d b c 2 5 2 7 14 Ϭ ϭ # ϭ 3 7 3 5 15 When dividing fractions, invert the divisor and multiply. 3. a b aϩb ϩ ϭ c c c 2 7 2ϩ7 9 ϩ ϭ ϭ 5 5 5 5 When adding fractions with the same denominator, add the numerators. 4. a c ad ϩ bc ϩ ϭ b d bd 2 3 2#7ϩ3#5 29 ϩ ϭ ϭ 5 7 35 35 When adding fractions with different denominators, find a common denominator. Then add the numerators. 5. ac a ϭ bc b 2#5 2 ϭ # 3 5 3 Cancel numbers that are common factors in numerator and denominator. 2 6 ϭ , so 2 # 9 ϭ 3 # 6 3 9 Cross multiply.

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