# Precalculus

## John W. Coburn

Language: English

Pages: 1216

ISBN: 0073519421

Format: PDF / Kindle (mobi) / ePub

Three components contribute to a theme sustained throughout the Coburn Series: that of laying a firm foundation, building a solid framework, and providing strong connections. Not only does Coburn present a sound problem-solving process to teach students to recognize a problem, organize a procedure, and formulate a solution, the text encourages students to see beyond procedures in an effort to gain a greater understanding of the big ideas behind mathematical concepts. Written in a readable, yet mathematically mature manner appropriate for college algebra level students, Coburn's Precalculus uses narrative, extensive examples, and a range of exercises to connect seemingly disparate mathematical topics into a cohesive whole. Coburn's hallmark applications are born out of the author's extensive experiences in and outside the classroom, and appeal to the vast diversity of students and teaching methods in this course area. Benefiting from the feedback of hundreds of instructors and students across the country, Precalculus second edition, continues to emphasize connections in order to improve the level of student engagement in mathematics and increase their chances of success in college algebra.

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the exercises. cob19421_ch01_001-082.qxd 12/30/2008 08:35 am Page 39 Precalculus— 1-39 Section 1.4 Complex Numbers 39 1.4 EXERCISES ᮣ CONCEPTS AND VOCABULARY Fill in each blank with the appropriate word or phrase. Carefully reread the section, if necessary. 1. Given the complex number 3 ϩ 2i, its complex conjugate is . 2. The product 13 ϩ 2i213 Ϫ 2i2 gives the real number . 4 ϩ 6i12 is written in the standard 2 form a ϩ bi, then a ϭ and b ϭ . 3. If the expression ᮣ 4. For i ϭ 1Ϫ1,

Cincinnati? (Hint: The flight time between the two cities must add up to 5 hr.) modeled by T ϭ 0.407R2, where R is the maximum radius of the planet’s orbit in millions of miles (Kepler’s third law of planetary motion). Use the equation to approximate the maximum radius of each orbit, given the number of days it takes for one revolution. (See Appendix I.F, Exercises 45 and 46.) a. Mercury: 88 days b. Venus: 225 days c. Earth: 365 days d. Mars: 687 days e. Jupiter: 4,333 days f. Saturn: 10,759

object variable and apply properties of equality to write this variable in terms of all others. • The basic elements of good problem solving include: 1. Gathering and organizing information 2. Making the problem visual 3. Developing an equation model 4. Using the model to solve the application For a complete review, see the problem-solving guide on page 78. C U M U L AT I V E R E V I E W C H A P T E R S 1 – 2 1. Perform the division by factoring the numerator: 1x3 5x2 2x 102 1x 52. x 6 5 and 2.

extension anywhere it is placed. Figure 2.33 shows a horizontal line will likewise always intersect the graph. The domain is x ʦ 1Ϫq, q 2 , and the range is y ʦ 1Ϫq, q 2 . cob19421_ch02_083-214.qxd 12/15/2008 03:54 PM Page 127 Precalculus— 2-45 Section 2.4 Functions, Function Notation, and the Graph of a Function Cube Root Function x y ϭ 2x Ϫ8 Ϫ2 Ϫ4 Ϸ Ϫ1.6 Ϫ1 Ϫ1 0 0 1 1 4 Ϸ 1.6 8 2 Figure 2.33 Figure 2.32 3 5 3 y y ϭ ͙x Ϫ10 127 5 10 x 3 y y ϭ ͙x Ϫ10 Ϫ5 10 x Ϫ5

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