By James Stewart, Lothar Redlin, Saleem Watson
This most sensible promoting writer crew explains suggestions easily and obviously, with out glossing over tricky issues. challenge fixing and mathematical modeling are brought early and bolstered all through, supplying scholars with an outstanding origin within the ideas of mathematical pondering. complete and calmly paced, the e-book offers whole insurance of the functionality idea, and integrates an important quantity of graphing calculator fabric to assist scholars advance perception into mathematical rules. The authors' awareness to aspect and readability, just like present in James Stewart's market-leading Calculus e-book, is what makes this ebook the industry chief.
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Extra info for Algebra and Trigonometry (3rd Edition)
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. 28. (a) B ʜ C ■ 50. 3Ϫ4, 6 2 ʜ 30, 8 2 53. (a) ƒ 100 ƒ 59. Find the indicated set if A ϭ 51, 2, 3, 4, 5, 6, 76 ■ 53–58 5 x is positive.
PROPERTIES OF FRACTIONS Property Example Description 1. a#c ac ϭ b d bd 2#5 2#5 10 ϭ # ϭ 3 7 3 7 21 When multiplying fractions, multiply numerators and denominators. 2. 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. b aϩb a 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.
3 I NTEGER E XPONENTS Exponential Notation ᭤ Rules for Working with Exponents ᭤ Scientific Notation In this section we review the rules for working with exponent notation. We also see how exponents can be used to represent very large and very small numbers. ▼ Exponential Notation A product of identical numbers is usually written in exponential notation. For example, 5 # 5 # 5 is written as 53. In general, we have the following definition. EXPONENTIAL NOTATION If a is any real number and n is a positive integer, then the nth power of a is an ϭ a # a # .