By Earl W. Swokowski, Jeffery A. Cole
Transparent motives, an uncluttered and beautiful format, and examples and routines that includes various real-life purposes have made this article renowned between scholars 12 months after 12 months. This most recent variation of Swokowski and Cole's ALGEBRA AND TRIGONOMETRY WITH ANALYTIC GEOMETRY keeps those beneficial properties. the issues were continually praised for being at simply the perfect point for precalculus scholars such as you. The publication additionally offers calculator examples, together with particular keystrokes that enable you to use a variety of graphing calculators to unravel difficulties extra quick. might be so much important-this e-book successfully prepares you for additional classes in arithmetic.
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Extra info for Algebra and Trigonometry with Analytic Geometry
CHAPTER 1 FUNDAMENTAL CONCEPTS OF ALGEBRA We next extend the definition of an to nonpositive exponents. Zero and Negative (Nonpositive) Exponents Definition (a 0) Illustrations a0 ϭ 1 aϪn ϭ ͑ Ϫ 22 ͒0 ϭ 1 30 ϭ 1, 1 an 5Ϫ3 ϭ 1 , 53 ͑Ϫ3͒Ϫ5 ϭ 1 ͑Ϫ3͒5 If m and n are positive integers, then m factors of a ⎧ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎩ aman ϭ a и a и a и и и и и a и a и a и a и и и и и a. ⎧ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎩ n factors of a Since the total number of factors of a on the right is m ϩ n, this expression is equal to amϩn; that is, aman ϭ amϩn.
1 Re a l N u m b e r s Figure 6 Many calculators use scientific form in their display panels. For the number c ϫ 10n, the 10 is suppressed and the exponent is often shown preceded by the letter E. For example, to find ͑4,500,000͒2 on a scientific calculator, we could enter the integer 4,500,000 and press the x 2 (or squaring) key, obtaining a display similar to one of those in Figure 6. 025 ϫ 1013. 025 I3 15 ͑4,500,000͒2 ϭ 20,250,000,000,000. Calculators may also use scientific form in the entry of numbers.
19–24: The two given numbers are coordinates of points A and B, respectively, on a coordinate line. Express the indicated statement as an inequality involving the absolute value symbol. (b) s is nonpositive. 19 x, 7; d͑A, B͒ is less than 5 (c) w is greater than or equal to Ϫ4. com/login Copyright 2008 Thomson Learning, Inc. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. 1 Re a l N u m b e r s 21 x, Ϫ3; d͑A, B͒ is at least 8 22 x, 4; d͑A, B͒ is at most 2 23 4, x; d͑A, B͒ is not greater than 3 24 Ϫ2, x; d͑A, B͒ is not less than 2 Exer.