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BL
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| Record Number
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706459
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| Doc. No
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b528648
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| Main Entry
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Stewart, James,1941-
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| Title & Author
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Precalculus : : mathematics for calculus /\ James Stewart, Lothar Redlin, Saleem Watson.
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| Edition Statement
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Fifth edition, new enhanced WebAssign edition.
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| Publication Statement
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Belmont, CA :: Brooks/Cole Cengage Learning,, [2009]
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, ©2009
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| Page. NO
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1 volume (various pagings) :: illustrations (some color) ;; 26 cm +e 1 guide (27 pages : illustrations ; 24 cm)
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| ISBN
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0495384798 (smart start guide)
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: 0495557501 (student edition)
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: 9780495384793 (smart start guide)
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: 9780495557500 (student edition)
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9780495557505 (student ed.)
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| Notes
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Includes index.
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| Contents
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10. Analytic geometry -- Chapter overview -- 10.1. Parabolas -- 10.2. Ellipses -- 10.3. Hyperbolas -- Discovery project : conics in architecture -- 10.4. Shifted conics -- 10.5. Rotation of axes -- Discovery project : computer graphics II -- 10.6. Polar equations of conics -- 10.7. Plane curves and parametric equations -- Chapter 10 review -- Chapter 10 test -- Focus on modeling : the path of a projectile -- 11. Sequences and series -- Chapter overview -- 11.1. Sequences and summation notation -- 11.2. Arithmetic sequences -- 11.3. Geometric sequences -- Discovery project : finding patterns -- 11.4. Mathematics of finance -- 11.5. Mathematical induction -- 11.6. The binomial theorem -- Chapter 11 review -- Chapter 11 test -- Focus on modeling : modeling with recursive sequences -- 12. Limits : a preview of calculus -- Chapter overview -- 12.1. Finding limits numerically and graphically -- 12.2. Finding limits algebraically -- 12.3. Tangent lines and derivatives -- Discovery project : designing a roller coaster -- 12.4. Limits at infinity : limits of sequences -- 12.5. Areas -- Chapter 12 review -- Chapter 12 test -- Focus on modeling : interpretations of area -- Cumulative review -- Answers -- Index -- Photo credits.
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3. Polynomial and rational functions -- Chapter overview -- 3.1. Polynomial functions and their graphs -- 3.2. Dividing polynomials -- 3.3. Real zeros of polynomials -- Discovery project : zeroing in on a zero -- 3.4. Complex numbers -- 3.5. Complex zeros and the fundamental theorem of algebra -- 3.6. Rational functions -- Chapter 3 review -- Chapter 3 test -- Focus on modeling : fitting polynomial curves to data -- 4. Exponential and logarithmic functions -- Chapter overview -- 4.1. Exponential functions -- Discovery project : exponential explosion -- 4.2. Logarithmic functions -- 4.3. Laws of logarithms -- 4.4. Exponential and logarithmic equations -- 4.5. Modeling with exponential and logarithmic functions -- Chapter 4 review -- Chapter 4 test -- Focus on modeling : fitting exponential and power curves to data -- 5. Trigonometric functions of real numbers -- Chapter overview -- 5.1. The unit circle -- 5.2. Trigonometric functions of real numbers -- 5.3. Trigonometric graphs -- Discovery project : predator/prey models -- 5.4. More trigonometric graphs -- 5.5. Modeling harmonic motion -- Chapter 5 review -- Chapter 5 test -- Focus on modeling : fitting sinusoidal curves to data -- 6. Trigonometric functions of angles -- Chapter overview -- 6.1. Angle measure -- 6.2. Trigonometry of right triangles -- 6.3. Trigonometric functions of angles -- Discovery project : similarity -- 6.4. The law of Sines -- 6.5. The law of Cosines -- Chapter 6 review -- Chapter 6 test -- Focus on modeling : surveying --
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7. Analytic trigonometry -- Chapter overview -- 7.1. Trigonometric identities -- 7.2. Addition and subtraction formulas -- 7.3. Double-angle, half-angle, and sum-product formulas -- 7.4. Inverse trigonometric functions -- Discovery project : where to sit at the movies -- 7.5. Trigonometric equations -- Chapter 7 review -- Chapter 7 test -- Focus on modeling : traveling and standing waves -- 8. Polar coordinates and vectors -- Chapter overview -- 8.1. Polar coordinates -- 8.2. Graphs of polar equations -- 8.3. Polar form of complex numbers ; DeMoivre's Theorem -- Discovery project : fractals -- 8.4. Vectors -- 8.5. The dot product -- Discovery project : sailing against the wind -- Chapter 8 review -- Chapter 8 test -- Focus on modeling : mapping the world -- 9. Systems of equations and inequalities -- Chapter overview -- 9.1. Systems of equations -- 9.2. Systems of linear equations in two variables -- 9.3. Systems of linear equations in several variables -- Discovery project : best fit versus exact fit -- 9.4. Systems of linear equations : matrices -- 9.5. The algebra of matrices -- Discovery project : will the species survive? -- 9.6. Inverses of matrices and matrix equations -- Discovery project : computer graphics I -- 9.7. Determinants and Cramer's Rule -- 9.8. Partial fractions -- 9.9. Systems of inequalities -- Chapter 9 review -- Chapter 9 test -- Focus on modeling : linear programming --
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Preface -- To the student -- Calculators and calculations -- 1. Fundamentals -- Chapter overview -- 1.1. Real numbers -- 1.2. Exponents and radicals -- 1.3. Algebraic expressions -- Discovery project : visualizing a formula -- 1.4. Rational expressions -- 1.5. Equations -- 1.6. Modeling with equations -- Discovery project : equations through the ages -- 1.7. Inequalities -- 1.8. Coordinate geometry -- 1.9. Graphing calculators ; Solving equations and inequalities graphically -- 1.10. Lines -- 1.11. Modeling variation -- Chapter 1 review -- Chapter 1 test -- Focus on problem solving : general principles -- 2. Functions -- Chapter overview -- 2.1. What is a function? -- 2.2. Graphs of functions -- Discovery project : relations and functions -- 2.3. Increasing and decreasing functions ; Average rate of change -- 2.4. Transformations of functions -- 2.5. Quadratic functions ; Maxima and minima -- 2.6. Modeling with functions -- 2.7. Combining functions -- Discovery project : iteration and chaos -- 2.8. One-to-one functions and their inverses -- Chapter 2 review -- Chapter 2 test -- Focus on modeling : fitting lines to data --
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| Subject
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Mathematics, Textbooks.
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| Dewey Classification
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512
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| LC Classification
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QA39.3.S74 2009
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| Added Entry
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Redlin, L.
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Watson, Saleem.
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