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 function numerous functions, its uncluttered structure 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 extra classes in arithmetic via its first-class, time-tested challenge units

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**Additional info for Algebra and Trigonometry with Analytic Geometry, Classic Edition**

**Example text**

Y II III V ϭ x3 Ϫ y3 103 Find the areas of regions I and II in the figure to establish the difference of two squares formula for the special case x Ͼ y. 105 Calorie requirements The basal energy requirement for an Exercise 103 individual indicates the minimum number of calories necessary to maintain essential life-sustaining processes such as circulation, regulation of body temperature, and respiration. 7y y 104 Find the volumes of boxes I, II, and III in the figure to establish the difference of two cubes formula for the special case x Ͼ y.

000 005 5 (c) 24,900,000 Exer. 51–52: Express the number in decimal form. 000 000 000 000 000 000 000 001 7 gram. Express this number in scientific form. 1 ϫ 10Ϫ31 kilogram. Express this number in decimal form. 55 Light year In astronomy, distances to stars are measured in light years. One light year is the distance a ray of light travels in one year. If the speed of light is approximately 186,000 miles per second, estimate the number of miles in one light year. 56 Milky Way galaxy (a) Astronomers have estimated that the Milky Way galaxy contains 100 billion stars.

To find the lcd, we factor each denominator into primes and then form the product of the different prime factors, using the largest exponent that appears with each prime factor. Let us begin with a numerical example of this technique. 4 Fractional Expressions 43 The prime factorizations of the denominators 24 and 18 are 24 ϭ 23 и 3 and 18 ϭ 2 и 32. 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.