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College algebra and trigonometry / / J.S. Ratti, Marcus McWaters
| College algebra and trigonometry / / J.S. Ratti, Marcus McWaters |
| Autore | Ratti J. S. |
| Edizione | [Third, Global edition.] |
| Pubbl/distr/stampa | Boston : , : Pearson, , [2015] |
| Descrizione fisica | 1 online resource (1,108 pages) : illustrations (some color) |
| Disciplina | 512.9 |
| Soggetto topico | Algebra |
| ISBN | 1-292-07890-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Title Page -- Contents -- Preface -- Resources -- Acknowledgments -- About the Authors -- Chapter P Basic Concepts of Algebra -- P.1 The Real Numbers and Their Properties -- Classifying Numbers -- Equality of Numbers -- Classifying Sets of Numbers -- Rational Numbers -- Irrational Numbers -- The Real Number Line -- Inequalities -- Sets -- Definition of Union and Intersection -- Intervals -- Absolute Value -- Distance Between Two Points on a Real Number Line -- Arithmetic Expressions -- Properties of the Real Numbers -- Subtraction and Division of Real Numbers -- Algebraic Expressions -- P.2 Integer Exponents and Scientific Notation -- Integer Exponents -- Rules of Exponents -- Simplifying Exponential Expressions -- Scientific Notation -- P.3 Polynomials -- Polynomial Vocabulary -- Adding and Subtracting Polynomials -- Multiplying Polynomials -- Special Products -- Squaring a Binomial Sum or Difference -- The Product of the Sum and Difference of Terms -- P.4 Factoring Polynomials -- The Greatest Common Monomial Factor -- Factoring Out a Monomial -- Factoring Trinomials of the Form x2 + bx + c -- Factoring Formulas -- Perfect-Square Trinomials -- Difference of Squares -- Difference and Sum of Cubes -- Factoring by Grouping -- Factoring Trinomials of the Form Ax2 + Bx + C -- P.5 Rational Expressions -- Rational Expressions -- Lowest Terms for a Rational Expression -- Multiplication and Division of Rational Expressions -- Addition and Subtraction of Rational Expressions -- Complex Fractions -- P.6 Rational Exponents and Radicals -- Square Roots -- Simplifying Square Roots -- Other Roots -- Like Radicals -- Radicals with Different Indexes -- Rationalizing Radical Expressions -- Conjugates -- Rational Exponents -- Chapter P Summary -- Chapter P Review Exercises -- Chapter P Practice Test -- Chapter 1 Equations and Inequalities.
1.1 Linear Equations in One Variable -- Definitions -- Equivalent Equations -- Solving Linear Equations in One Variable -- Formulas -- Applications -- 1.2 Quadratic Equations -- Factoring Method -- The Square Root Method -- Completing the Square -- The Quadratic Formula -- Applications -- Golden Rectangle -- 1.3 Complex Numbers: Quadratic Equations with Complex Solutions -- Complex Numbers -- Addition and Subtraction -- Multiplying Complex Numbers -- Complex Conjugates and Division -- Quadratic Equations with Complex Solutions -- 1.4 Solving Other Types of Equations -- Solving Equations by Factoring -- Rational Equations -- Equations Involving Radicals -- Equations with Rational Exponents -- Equations That Are Quadratic in Form -- 1.5 Inequalities -- Inequalities -- Linear Inequalities -- Combining Two Inequalities -- Using Test Points to Solve Inequalities -- 1.6 Equations and Inequalities Involving Absolute Value -- Equations Involving Absolute Value -- Inequalities Involving Absolute Value -- Chapter 1 Summary -- Chapter 1 Review Exercises -- Chapter 1 Practice Test A -- Chapter 1 Practice Test B -- Chapter 2 Graphs and Functions -- 2.1 The Coordinate Plane -- The Coordinate Plane -- Scales on a Graphing Utility -- Distance Formula -- Midpoint Formula -- 2.2 Graphs of Equations -- Graph of an Equation -- Intercepts -- Symmetry -- Circles -- Semicircles -- 2.3 Lines -- Slope of a Line -- Equation of a Line -- Slope-Intercept Form -- Equations of Horizontal and Vertical Lines -- General Form of the Equation of a Line -- Parallel and Perpendicular Lines -- Modeling Data Using Linear Regression -- 2.4 Functions -- Functions -- Function Notation -- Representations of Functions -- The Domain of a Function -- The Range of a Function -- Graphs of Functions -- Function Information from Its Graph -- Building Functions -- Functions in Economics. 2.5 Properties of Functions -- Increasing and Decreasing Functions -- Relative Maximum and Minimum Values -- Even-Odd Functions and Symmetry -- Average Rate of Change -- 2.6 A Library of Functions -- Linear Functions -- Square Root and Cube Root Functions -- Piecewise Functions -- Graphing Piecewise Functions -- Basic Functions -- 2.7 Transformations of Functions -- Transformations -- Vertical and Horizontal Shifts -- Reflections -- Stretching or Compressing -- Multiple Transformations in Sequence -- 2.8 Combining Functions -- Composite Functions -- Combining Functions -- Composition of Functions -- Domain of Composite Functions -- Decomposition of a Function -- Applications of Composite Functions -- 2.9 Inverse Functions -- Inverses -- Finding the Inverse Function -- Finding the Range of a One-to-One Function -- Applications -- Chapter 2 Summary -- Chapter 2 Review Exercises -- Chapter 2 Practice Test A -- Chapter 2 Practice Test B -- Chapter 2 Cumulative Review Exercises Chapters P-2 -- Chapter 3 Polynomial and Rational Functions -- 3.1 Quadratic Functions -- Quadratic Functions -- Standard Form of a Quadratic Function -- Graphing a Quadratic Function f(x) = ax2 + bx + c -- Applications -- 3.2 Polynomial Functions -- Polynomial Functions -- Power Functions -- End Behavior of Polynomial Functions -- Zeros of a Function -- Zeros and Turning Points -- Graphing a Polynomial Function -- 3.3 Dividing Polynomials -- The Division Algorithm -- Synthetic Division -- The Remainder and Factor Theorems -- 3.4 T he Real Zeros of a Polynomial Function -- Real Zeros of a Polynomial Function -- Rational Zeros Theorem -- Descartes's Rule of Signs -- Bounds on the Real Zeros -- Find the Real Zeros of a Polynomial Function -- 3.5 The Complex Zeros of a Polynomial Function -- Conjugate Pairs Theorem -- 3.6 Rational Functions -- Rational Functions. Vertical and Horizontal Asymptotes -- Translations of f(x)=1/x -- Graphing Rational Functions -- Oblique Asymptotes -- Graph of a Revenue Curve -- 3.7 Variation -- Direct Variation -- Inverse Variation -- Joint and Combined Variation -- Chapter 3 Summary -- Chapter 3 Review Exercises -- Chapter 3 Practice Test A -- Chapter 3 Practice Test B -- Chapter 3 Cumulative Review -- Chapter 4 Exponential and Logarithmic Functions -- 4.1 Exponential Functions -- Exponential Functions -- Evaluate Exponential Functions -- Graphing Exponential Functions -- Simple Interest -- Compound Interest -- Continuous Compound Interest Formula -- The Natural Exponential Function -- Natural Exponential Growth and Decay -- 4.2 Logarithmic Functions -- Logarithmic Functions -- Evaluating Logarithms -- Basic Properties of Logarithms -- Domains of Logarithmic Functions -- Graphs of Logarithmic Functions -- Common Logarithm -- Natural Logarithm -- Investments -- Newton's Law of Cooling -- 4.3 Rules of Logarithms -- Rules of Logarithms -- Number of Digits -- Change of Base -- Growth and Decay -- Half-Life -- Radiocarbon Dating -- 4.4 Exponential and Logarithmic Equations and Inequalities -- Solving Exponential Equations -- Applications of Exponential Equations -- Solving Logarithmic Equations -- Logarithmic and Exponential Inequalities -- 4.5 Logarithmic Scales -- pH Scale -- Earthquake Intensity -- Loudness of Sound -- Musical Pitch -- Star Brightness -- Chapter 4 Summary -- Chapter 4 Review Exercises -- Chapter 4 Practice Test A -- Chapter 4 Practice Test B -- Chapter 4 Cumulative Review Exercises Chapters P-4 -- Chapter 5 Trigonometric Functions -- 5.1 Angles and Their Measure -- Angles -- Angle Measure -- Degree Measure -- Radian Measure -- Relationship Between Degrees and Radians -- Complements and Supplements -- Length of an Arc of a Circle -- Area of a Sector. Linear and Angular Speed -- 5.2 Right-Triangle Trigonometry -- Trigonometric Ratios and Functions -- Relations between Trigonometric Functions -- Function Values for Some Special Angles -- Evaluating Trigonometric Functions Using a Calculator -- Complements -- Applications -- 5.3 Trigonometric Functions of Any Angle -- The Unit Circle -- Trigonometric Functions of Angles -- Quadrantal Angles -- Coterminal Angles -- Signs of the Trigonometric Functions -- Reference Angle -- Using Reference Angles -- Circular Functions -- 5.4 Graphs of the Sine and Cosine Functions -- Properties of Sine and Cosine -- Domain and Range of Sine and Cosine -- Zeros of Sine and Cosine Functions -- Even-Odd Properties -- Periodic Functions -- Graphs of Sine and Cosine Functions -- Graph of the Sine Function -- Graph of the Cosine Function -- Five Key Points -- Amplitude and Period -- Biorhythm States -- Phase Shift -- Vertical Shifts -- Simple Harmonic Motion -- 5.5 Graphs of the Other Trigonometric Functions -- Tangent Function -- Graph of y = tan x -- Graphs of the Reciprocal Functions -- 5.6 Inverse Trigonometric Functions -- The Inverse Sine Function -- The Inverse Cosine Function -- The Inverse Tangent Function -- Other Inverse Trigonometric Functions -- Evaluating Inverse Trigonometric Functions -- Composition of Trigonometric and Inverse Trigonometric Functions -- Chapter 5 Summary -- Chapter 5 Review Exercises -- Chapter 5 PracticeTest A -- Chapter 5 Practice Test B -- Chapter 5 Cumulative Review Exercises Chapters P-5 -- Chapter 6 Trigonometric Identities and Equations -- 6.1 Verifying Identities -- Fundamental Trigonometric Identities -- Evaluating Trigonometric Functions Using the Fundamental Identities -- Simplifying a Trigonometric Expression -- Trigonometric Equations and Identities -- Process of Verifying Trigonometric Identities. Methods of Verifying Trigonometric Identities. |
| Record Nr. | UNINA-9910154808003321 |
Ratti J. S.
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| Boston : , : Pearson, , [2015] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Precalculus : a right triangle approach / / J. S. Ratti, Marcus S. McWaters
| Precalculus : a right triangle approach / / J. S. Ratti, Marcus S. McWaters |
| Autore | Ratti J. S. |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Harlow, Essex, England : , : Pearson, , [2014] |
| Descrizione fisica | 1 online resource (985 pages) : illustrations (some color) |
| Disciplina | 512.9 |
| Collana | Always learning |
| Soggetto topico | Precalculus |
| ISBN | 1-292-03514-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Table of Contents -- 1. Basic Concepts of Algebra -- 2. Equations and Inequalities -- 3. Graphs and Functions -- 4. Polynomial and Rational Functions -- 5. Exponential and Logarithmic Functions -- 6. Trigonometric Functions -- 7. Trigonometric Identities and Equations -- 8. Applications of Trigonometric Functions -- 9. Systems of Equations and Inequalities -- 10. Matrices and Determinants -- 11. Conic Sections -- Algebra- Formulas and Definitions & Trigonometry -- Index. |
| Record Nr. | UNINA-9910153123803321 |
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Ratti J. S.
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| Harlow, Essex, England : , : Pearson, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Second International Workshop on Digital and Computational Video : proceedings : February 8-9, 2001, Tampa, Florida, USA ; sponsored by Center for Digital and Computational Video, University of South Florida ; editors, V.K. Jain, M.M. McWaters, and M. Kunt
| Second International Workshop on Digital and Computational Video : proceedings : February 8-9, 2001, Tampa, Florida, USA ; sponsored by Center for Digital and Computational Video, University of South Florida ; editors, V.K. Jain, M.M. McWaters, and M. Kunt |
| Pubbl/distr/stampa | [Place of publication not identified], : IEEE Computer Society, 2001 |
| Disciplina | 778.59 |
| Soggetto topico |
Digital video
Electrical & Computer Engineering Electrical Engineering Engineering & Applied Sciences |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996203359103316 |
| [Place of publication not identified], : IEEE Computer Society, 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Second International Workshop on Digital and Computational Video : proceedings : February 8-9, 2001, Tampa, Florida, USA ; sponsored by Center for Digital and Computational Video, University of South Florida ; editors, V.K. Jain, M.M. McWaters, and M. Kunt
| Second International Workshop on Digital and Computational Video : proceedings : February 8-9, 2001, Tampa, Florida, USA ; sponsored by Center for Digital and Computational Video, University of South Florida ; editors, V.K. Jain, M.M. McWaters, and M. Kunt |
| Pubbl/distr/stampa | [Place of publication not identified], : IEEE Computer Society, 2001 |
| Disciplina | 778.59 |
| Soggetto topico |
Digital video
Electrical & Computer Engineering Electrical Engineering Engineering & Applied Sciences |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910872604003321 |
| [Place of publication not identified], : IEEE Computer Society, 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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