Mathematical Applications for the Management, Life, and by Ronald J. Harshbarger, James J. Reynolds

By Ronald J. Harshbarger, James J. Reynolds

MATHEMATICAL purposes FOR THE administration, lifestyles, AND SOCIAL SCIENCES, tenth version, is meant for a two-semester utilized calculus or mixed finite arithmetic and utilized calculus direction. The book's concept-based strategy, a number of presentation equipment, and engaging and suitable purposes continue scholars who regularly take the course--business, economics, lifestyles sciences, and social sciences majors--engaged within the fabric. This version broadens the book's real-life context by way of including a couple of environmental technology and monetary functions. using modeling has been elevated, with modeling difficulties now in actual fact classified within the examples. additionally integrated within the 10th version is a quick evaluate of algebra to organize scholars with diversified backgrounds for the cloth in later chapters.

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For example, 234 5 281, but (23)4 5 81. Some of the rules of exponents follow. Positive Integer Exponents For any real numbers a and b and positive integers m and n, 1. am ? an 5 am1n am2n am 2. For a 2 0, n 5 • 1 a 1yan2m m m m 3. (ab) = a b a m am 1b 2 02 4. a b 5 m b b 5. (am)n 5 amn if m . n if m 5 n if m , n Copyright 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).

All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 3 Example 1 Integral Exponents 17 ​Positive Integer Exponents Use rules of positive integer exponents to rewrite the following.

0 2 (c) 3 1 x 2 0 2 "x "18xy "2x 2 Copyright 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 26 Chapter 0 Algebraic Concepts Solution (a) We wish to create a perfect square under the radical in the denominator.

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