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| Relations, Functions, and Graphs | |
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| Linear Relations and Functions | |
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| Relations and Functions | |
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| Composition of Functions | |
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| Graphing Linear Equations | |
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| Graphing Calculator Exploration: Analyzing Families of Linear Graphs | |
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| Writing Linear Equations | |
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| Writing Equations of Parallel and Perpendicular Lines | |
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| Modeling Real-World Data with Linear Functions | |
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| Piecewise Functions | |
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| Graphing Linear Inequalities | |
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| Study Guide and Assessment | |
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| SAT & ACT Preparation | |
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| Systems of Linear Equations and Inequalities | |
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| Solving Systems of Equations in Two Variables | |
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| Solving Systems of Equations in Three Variables | |
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| Modeling Real-World Data with Matrices | |
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| Graphing Calculator Exploration: Transformation Matrices | |
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| Modeling Motion with Matrices | |
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| Determinants and Multiplicative Inverses of Matrices | |
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| Graphing Calculator Exploration: Augmented Matrices and Reduced Row-Echelon Form | |
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| Solving Systems of Linear Inequalities | |
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| Linear Programming | |
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| Study Guide and Assessment | |
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| SAT & ACT Preparation | |
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| The Nature of Graphs | |
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| Symmetry and Coordinate Graphs | |
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| Families of Graphs | |
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| Graphs of Nonlinear Inequalities | |
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| Inverse Functions and Relations | |
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| Continuity and End Behavior | |
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| Graphing Calculator Exploration: Gap Discontinuities | |
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| Critical Points and Extrema | |
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| Graphs of Rational Functions | |
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| Direct, Inverse, and Joint Variation | |
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| Study Guide and Assessment | |
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| SAT & ACT Preparation | |
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| Polynomial and Rational Functions | |
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| Polynomial Functions | |
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| Quadratic Equations | |
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| The Remainder and Factor Theorems | |
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| The Rational Root Theorem | |
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| Locating Zeros of a Polynomial Function | |
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| Rational Equations and Partial Fractions | |
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| Radical Equations and Inequalities | |
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| Modeling Real-World Data with Polynomial Functions | |
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| Graphing Calculator Exploration: Fitting a Polynomial Function to a Set of Points | |
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| Study Guide and Assessment | |
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| SAT & ACT Preparation | |
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| Trigonometry | |
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| The Trigonometric Functions | |
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| Angles and Degree Measure | |
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| Trigonometric Ratios in Right Triangles | |
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| Trigonometric Functions on the Unit Circle | |
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| Applying Trigonometric Functions | |
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| Solving Right Triangles | |
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| The Law of Sines | |
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| The Ambiguous Case for the Law of Sines | |
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| The Law of Cosines | |
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| Graphing Calculator Exploration: Solving Triangles | |
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| Study Guide and Assessment | |
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| SAT & ACT Preparation | |
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| Graphs of Trigonometric Functions | |
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| Angles and Radian Measure | |
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| Linear and Angular Velocity | |
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| Graphing Sine and Cosine Functions | |
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| Amplitude and Period of Sine and Cosine Functions | |
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| Translations of Sine and Cosine Functions | |
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| Modeling Real-World Data with Sinusoidal Functions | |
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| Graphing Other Trigonometric Functions | |
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| Graphing Calculator Exploration: Sound Beats | |
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| Trigonometric Inverses and Their Graphs | |
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| Study Guide and Assessment | |
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| SAT & ACT Preparation | |
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| Trigonometric Identities and Equations | |
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| Basic Trigonometric Identities | |
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| Verifying Trigonometric Identities | |
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| Sum and Difference Identities | |
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| Graphing Calculator Exploration: Reduction Identities | |
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| Double-Angle and Half-Angle Identities | |
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| Solving Trigonometric Equations | |
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| Normal Form of a Linear Equation | |
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| Distance From a Point to a Line | |
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| Study Guide and Assessment | |
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| SAT & ACT Preparation | |
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| Vectors and Parametric Equations | |
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| Geometric Vectors | |
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| Algebraic Vectors | |
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| Vectors in Three-Dimensional Space | |
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| Perpendicular Vectors | |
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| Graphing Calculator Exploration: Finding Cross Products | |
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| Applications with Vectors | |
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| Vectors and Parametric Equations | |
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| Graphing Calculator Exploration: Modeling with Parametric Equations | |
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| Modeling Motion Using Parametric Equations | |
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| Transformational Matrices in Three-Dimensional Space | |
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| Study Guide and Assessment | |
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| SAT & ACT Preparation | |
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| Advanced Functions and Graphing | |
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| Polar Coordinates and Complex Numbers | |
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| Polar Coordinates | |
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| Graphs of Polar Equations | |
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| Polar and Rectangular Coordinates | |
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| Polar Form of a Linear Equation | |
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| Simplifying Complex Numbers | |
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| The Complex Plane and Polar Form of Complex Numbers | |
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| Graphing Calculator Exploration: Geometry in the Complex Plane | |
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| Products and Quotients of Complex Numbers in Polar Form | |
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| Powers and Roots of Complex Numbers | |
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| Study Guide and Assessment | |
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| SAT & ACT Preparation | |
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| Conics | |
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| Introduction to Analytic Geometry | |
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| Circles | |
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| Ellipses | |
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| Hyperbolas | |
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| Parabolas | |
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| Rectangular and Parametric Forms of Conic Sections | |
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| Transformations of Conics | |
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| Systems of Second-Degree Equations and Inequalities | |
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| Graphing Calculator Exploration: Shading Areas on a Graph | |
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| Study Guide and Assessment | |
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| SAT & ACT Preparation | |
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| Exponential and Logarithmic Functions | |
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| Real Exponents | |
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| Exponential Functions | |
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| The Number e | |
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| Logarithmic Functions | |
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| Common Logarithms | |
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| Natural Logarithms | |
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| Graphing Calculator Exploration: Natural Logarithms and Area | |
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| Modeling Real-World Data with Exponential and Logarithmic Functions | |
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| Study Guide and Assessment | |
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| SAT & ACT Preparation | |
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| Discrete Mathematics | |
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| Sequences and Series | |
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| Arithmetic Sequences and Series | |
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| Geometric Sequences and Series | |
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| Infinite Sequences and Series | |
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| Graphing Calculator Exploration: Continued Fractions | |
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| Convergent and Divergent Series | |
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| Sigma Notation and the nth Term | |
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| The Binomial Theorem | |
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| Special Sequences and Series | |
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| Sequences and Iteration | |
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| Mathematical Induction | |
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| Study Guide and Assessment | |
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| SAT & ACT Preparation | |
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| Combinatorics and Probability | |
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| Permutations and Combinations | |
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| Permutations with Repetitions and Circular Permutations | |
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| Probability and Odds | |
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| Probabilities of Compound Events | |
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| Conditional Probability | |
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| The Binomial Theorem and Probability | |
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| Study Guide and Assessment | |
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| SAT & ACT Preparation | |
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| Statistics and Data Analysis | |
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| The Frequency Distribution | |
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| Measures of Central Tendency | |
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| Measures of Variability | |
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| The Normal Distribution | |
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| Graphing Calculator Exploration: The Standard Normal Curve | |
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| Sample Sets of Data | |
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| Study Guide and Assessment | |
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| SAT & ACT Preparation | |
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| Calculus | |
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| Introduction to Calculus | |
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| Limits | |
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| Graphing Calculator Exploration: The Slope of a Curve | |
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| Derivatives and Antiderivatives | |
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| Area Under a Curve | |
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| The Fundamental Theorem of Calculus | |
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| Study Guide and Assessment | |
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| SAT & ACT Preparation | |
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| Student Handbook | |
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| Graphing Calculator Appendix | |
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| Extra Practice | |
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| Chapter Tests | |
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| Glossary | |
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| Selected Answers | |
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| Photo Credits | |
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| Index | |
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| Formulas and Symbols | |