Algebra and trigonometry, 2nd Edition by James Stewart

By James Stewart

This top promoting writer crew explains options easily and obviously, with out glossing over tough issues. challenge fixing and mathematical modeling are brought early and bolstered all through, in order that whilst scholars end the path, they've got an excellent starting place within the rules of mathematical pondering. This finished, flippantly paced booklet offers whole assurance of the functionality idea and integrates colossal graphing calculator fabrics that aid scholars strengthen perception into mathematical rules. The authors' recognition to element and readability, as in James Stewart's market-leading Calculus textual content, is what makes this article the marketplace chief.

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Scientific Notation A positive number x is said to be written in scientific notation if it is expressed as follows: x ϭ a ϫ 10 n where 1 Յ a Ͻ 10 and n is an integer 26 CHAPTER P Prerequisites For instance, when we state that the distance to the star Proxima Centauri is 4 ϫ 1013 km, the positive exponent 13 indicates that the decimal point should be moved 13 places to the right: 4 ϫ 1013 ϭ 40,000,000,000,000 Move decimal point 13 places to the right. 00000000000000000000000166 Move decimal point 24 places to the left.

83. Interest on a CD A sum of $5000 is invested in a 5-year certificate of deposit paying 3% interest per year, compounded monthly. 00252 12n Ϫ 1 4 Complete the following table, which gives the amount of interest accumulated after the given number of years. 80. 4 Rational Exponents and Radicals 29 85. Easy Powers That Look Hard Calculate these expressions in your head. Use the Laws of Exponents to help you. Discovery • Discussion 84. How Big Is a Billion? If you have a million 110 6 2 dollars in a suitcase, and you spend a thousand 110 3 2 dollars each day, how many years would it take you to use all the money?

1Ϫq, Ϫ4 2 ʜ 14, q 2 61–66 ■ Evaluate each expression. (b) 0 Ϫ73 0 63. (a) @ 0 Ϫ6 0 Ϫ 0 Ϫ4 0 @ (b) 64. (a) @ 2 Ϫ 0 Ϫ12 0 @ (b) Ϫ1 Ϫ @ 1 Ϫ 0 Ϫ1 0 @ 62. (a) 0 15 Ϫ 5 0 (b) 0 10 Ϫ p 0 Ϫ1 0 Ϫ1 0 65. (a) 0 1Ϫ2 2 # 6 0 (b) 0 AϪ 13 B 1Ϫ15 2 0 66. (a) ` (b) ` 67–70 67. 20 ft 60. 1Ϫq, 6 4 പ 12, 102 61. (a) 0 100 0 ■ x Graph the set. Ϫ6 ` 24 7 Ϫ 12 ` 12 Ϫ 7 Find the distance between the given numbers. −3 −2 −1 0 1 2 3 74. Temperature Variation The bar graph shows the daily high temperatures for Omak, Washington, and Geneseo, New York, during a certain week in June.

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