By Earl Swokowski, Jeffery A. Cole
The newest variation within the hugely revered Swokowski/Cole precalculus sequence keeps the weather that experience made it so well liked by teachers and scholars alike: its exposition is apparent, the time-tested workout units characteristic quite a few functions, its uncluttered format is attractive, and the trouble point of difficulties is suitable and constant. Mathematically sound, ALGEBRA AND TRIGONOMETRY WITH ANALYTIC GEOMETRY, vintage variation, 12E, successfully prepares scholars for additional classes in arithmetic via its very good, time-tested challenge units.
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Additional resources for Algebra and Trigonometry with Analytic Geometry, Classic 12th Edition
02 ϫ 1023. 01 grams, estimate the mass of a hydrogen atom. a b c 48 Rational approximations to square roots can be found using a formula discovered by the ancient Babylonians. Let x 1 be the first rational approximation for 2n. If we let x2 ϭ 1 2 ͩ x1 ϩ ͪ n , x1 then x 2 will be a better approximation for 2n, and we can repeat the computation with x 2 replacing x 1. Starting with x 1 ϭ 32, find the next two rational approximations for 22. Exer. 49–50: Express the number in scientific form. 000 005 5 (c) 24,900,000 Exer.
57 281 3 Ϫ125 58 2 5 Ϫ64 59 2 4 256 60 2 61 1 62 3 22 ͱ 1 7 63 29xϪ4y6 64 216a8bϪ2 3 8a6bϪ3 65 2 4 81r 5s 8 66 2 67 69 71 73 ͱ ͱ ͱ ͱ 3x 2y3 68 3 2x 4y4 9x 70 4 5x 8y3 27x 2 72 5x7y2 8x 3 74 5 4 ͑3x 5yϪ2͒4 75 2 77 ͱ ͱ 5 8x 3 y4 5 4x 4 y2 3 3 3t 4v 2 2 Ϫ9tϪ1v 4 79 2 ͱ ͱ ͱ ͱ 1 3x 3y 3 3x 2y 5 4x 4 x 7y12 125x 5 3x11y3 9x 2 6 ͑2uϪ3v4͒6 76 2 78 25xy7 210x 3y 3 3 ͑2r Ϫ s͒3 80 2 Exer. 81–84: Simplify the expression, assuming x and y may be negative. 81 2x 6y 4 82 2x4y10 4 8 x ͑ y Ϫ 1͒12 83 2 4 ͑x ϩ 2͒12y4 84 2 Exer.
To find the lcd, we form the product of the different prime factors, using the largest exponent associated with each factor. This gives us 23 и 32. We now change each fraction to an equivalent fraction with denominator 23 и 32 and add: SOLUTION 7 5 7 5 ϩ ϭ ϩ 24 18 23 и 3 2 и 32 ϭ 7 3 5 22 и ϩ и 23 и 3 3 2 и 32 22 ϭ 21 20 ϩ 3 2 2 2 и3 2 и3 ϭ 41 23 и 32 ϭ 41 72 3 L The method for finding the lcd for rational expressions is analogous to the process illustrated in Example 2. The only difference is that we use factorizations of polynomials instead of integers.
Algebra and Trigonometry with Analytic Geometry, Classic 12th Edition by Earl Swokowski, Jeffery A. Cole