By Earl Swokowski, Jeffery A. Cole
The most recent 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 version, 12E, successfully prepares scholars for additional 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 12th Edition
4 lb͞in2 on the walls and ceiling of the building. (a) Calculate the force in pounds exerted on 1 square foot of a wall. (b) Estimate the tons of force exerted on a wall that is 8 feet high and 40 feet wide. 62 Cattle population A rancher has 750 head of cattle consisting of 400 adults (aged 2 or more years), 150 yearlings, and 200 calves. The following information is known about this particular species. Each spring an adult female gives birth to a single calf, and 75% of these calves will survive the first year.
Simplifying rational powers EXAMPLE 5 Simplify: (a) ͑Ϫ27͒2/3͑4͒Ϫ5/2 (b) ͑r 2s6͒1/3 (c) ͩ ͪͩ ͪ 2x 2/3 y 1/2 2 3xϪ5/6 y1/3 SOLUTION (a) 3 ͑Ϫ27͒2/3͑4͒Ϫ5/2 ϭ ͑ 2 Ϫ27͒2͑ 24͒ Ϫ5 ϭ ͑Ϫ3͒2͑2͒Ϫ5 ͑Ϫ3͒2 ϭ 25 9 ϭ 32 ͑r s ͒ 2 6 1/3 (b) (c) 2x y1/2 2 Ϫ5/6 3x y1/3 take roots definition of negative exponents take powers ϭ ͑r ͒ ͑s ͒ law 3 of exponents ϭ r 2/3s 2 4x 4/3 3xϪ5/6 ϭ y y1/3 ͑4 и 3͒x 4/3Ϫ5/6 ϭ y 1ϩ͑1/3͒ 12x 8/6Ϫ5/6 ϭ y 4/3 12x 1/2 ϭ 4/3 y law 2 of exponents 2 1/3 6 1/3 ͩ ͪ ͩ ͪ ͩ ͪͩ ͪ 2/3 definition of rational exponents laws of exponents law 1 of exponents common denominator simplify L Rational exponents are useful for problems involving radicals that do not have the same index, as illustrated in the next example.
75. Round all weights to the nearest pound. Weight Height Weight Height 60 68 61 69 62 70 63 71 64 72 65 73 66 74 67 75 Weight We sometimes use the notation and terminology of sets to describe mathematical relationships. A set is a collection of objects of some type, and the objects are called elements of the set. Capital letters R, S, T, . . are often used to denote sets, and lowercase letters a, b, x, y, . . usually represent elements of sets. Throughout this book, ޒdenotes the set of real numbers and ޚdenotes the set of integers.