Precalculus: Mathematics for Calculus, 5th Edition, Enhanced by James Stewart

By James Stewart

This top promoting writer staff explains recommendations easily and obviously, with out glossing over tough issues. challenge fixing and mathematical modeling are brought early and bolstered all through, in order that while scholars end the path, they've got an excellent starting place within the ideas of mathematical considering. This finished, frivolously paced booklet offers entire insurance of the functionality inspiration and integrates titanic graphing calculator fabrics that aid scholars strengthen 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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Likewise, we want to have 54 # 5Ϫ4 ϭ 54ϩ 1Ϫ42 ϭ 54Ϫ4 ϭ 50 ϭ 1 and this will be true if 5Ϫ4 ϭ 1/54. These observations lead to the following definition. Zero and Negative Exponents If a 0 is any real number and n is a positive integer, then a0 ϭ 1 Example 2 a Ϫn ϭ 1 an Zero and Negative Exponents A 47 B 0 ϭ1 1 1 (b) x Ϫ1 ϭ 1 ϭ x x 1 1 1 (c) 1Ϫ22 Ϫ3 ϭ ϭ ϭϪ Ϫ8 8 1Ϫ22 3 (a) and ■ 14 CHAPTER 1 Fundamentals Familiarity with the following rules is essential for our work with exponents and bases. In the table the bases a and b are real numbers, and the exponents m and n are integers.

19 ϫ 105 77. 806 ϫ 10Ϫ12 2 80. 2/5 Ϫ3/4 Write each number in scientific notation. 71. (a) 69,300,000 77–82 ■ Use scientific notation, the Laws of Exponents, and a calculator to perform the indicated operations. State your answer correct to the number of significant digits indicated by the given data. 79. Ϫ1 127s 3t Ϫ4 2 2/3 76. (a) The distance from the earth to the sun is about 93 million miles. 000000000000000000000053 g. (c) The mass of the earth is about 5,970,000,000,000,000,000,000,000 kg. 58.

In general, what can you say about the sum of a rational and an irrational number? What about the product? 79. Limiting Behavior of Reciprocals Complete the tables. What happens to the size of the fraction 1/x as x gets large? As x gets small? 75. Mailing a Package The post office will only accept 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 x L 5 ft=60 in. x 6 in. 001 1 2 10 100 1000 L ϩ 21x ϩ y 2 Յ 108 (a) Will the post office accept a package that is 6 in.

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