Preface |
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x | |
A Tribute to Lothar Redlin |
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xvii | |
Technology in the Fifth Edition |
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xviii | |
To the Student |
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xix | |
Are You Ready for This Course? |
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xx | |
Prologue: Principles of Problem-Solving |
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1 | (1) |
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1 | (970) |
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1 | (1) |
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P.1 Modeling the Real World with Algebra |
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2 | (5) |
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7 | (11) |
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P.3 Integer Exponents and Scientific Notation |
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18 | (7) |
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P.4 Rational Exponents and Radicals |
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25 | (7) |
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P.5 Algebraic Expressions |
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32 | (6) |
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38 | (7) |
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45 | (9) |
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P.8 Solving Basic Equations |
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54 | (9) |
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P.9 Modeling with Equations |
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63 | (19) |
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75 | (5) |
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80 | (2) |
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Focus on Modeling Making Optimal Decisions |
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82 | (5) |
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87 | (100) |
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87 | (1) |
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88 | (6) |
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1.2 Graphs of Equations in Two Variables |
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94 | (7) |
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101 | (7) |
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108 | (11) |
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1.5 Solving Quadratic Equations |
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119 | (10) |
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129 | (6) |
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1.7 Solving Other Types of Equations |
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135 | (9) |
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144 | (10) |
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1.9 Solving Absolute-Value Equations and Inequalities |
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154 | (3) |
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1.10 Solving Equations and Inequalities Graphically |
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157 | (8) |
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165 | (16) |
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172 | (7) |
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179 | (2) |
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Focus on Modeling Fitting Lines to Data |
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181 | (6) |
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187 | (104) |
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187 | (1) |
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188 | (11) |
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199 | (13) |
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2.3 Getting Information from the Graph of a Function |
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212 | (13) |
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2.4 Average Rate of Change of a Function |
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225 | (8) |
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2.5 Linear Functions and Models |
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233 | (8) |
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2.6 Transformations of Functions |
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241 | (13) |
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254 | (10) |
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2.8 One-to-One Functions and Their Inverses |
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264 | (19) |
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274 | (7) |
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281 | (2) |
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Focus on Modeling Modeling with Functions |
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283 | (8) |
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3 Polynomial and Rational Functions |
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291 | (86) |
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291 | (1) |
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3.1 Quadratic Functions and Models |
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292 | (8) |
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3.2 Polynomial Functions and Their Graphs |
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300 | (15) |
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315 | (6) |
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3.4 Real Zeros of Polynomials |
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321 | (12) |
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3.5 Complex Zeros and the Fundamental Theorem of Algebra |
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333 | (8) |
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341 | (17) |
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3.7 Polynomial and Rational Inequalities |
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358 | (14) |
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364 | (6) |
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370 | (2) |
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Focus on Modeling Fitting Polynomial Curves to Data |
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372 | (5) |
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4 Exponential and Logarithmic Functions |
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377 | (72) |
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377 | (1) |
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4.1 Exponential Functions |
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378 | (8) |
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4.2 The Natural Exponential Function |
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386 | (6) |
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4.3 Logarithmic Functions |
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392 | (10) |
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402 | (7) |
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4.5 Exponential and Logarithmic Equations |
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409 | (10) |
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4.6 Modeling with Exponential Functions |
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419 | (12) |
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431 | (12) |
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436 | (6) |
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442 | (1) |
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Focus on Modeling Fitting Exponential and Power Curves to Data |
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443 | (6) |
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Cumulative Review Test: Chapters 2, 3, and 4 (Website) |
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5 Trigonometric Functions: Right Triangle Approach |
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449 | (68) |
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449 | (1) |
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450 | (10) |
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5.2 Trigonometry of Right Triangles |
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460 | (9) |
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5.3 Trigonometric Functions of Angles |
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469 | (11) |
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5.4 Inverse Trigonometric Functions and Right Triangles |
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480 | (8) |
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488 | (8) |
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496 | (17) |
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504 | (7) |
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511 | (2) |
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Focus on Modeling Surveying |
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513 | (4) |
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6 Trigonometric Functions: Unit Circle Approach |
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517 | (76) |
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517 | (1) |
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518 | (7) |
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6.2 Trigonometric Functions of Real Numbers |
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525 | (10) |
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535 | (15) |
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6.4 More Trigonometric Graphs |
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550 | (9) |
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6.5 Inverse Trigonometric Functions and Their Graphs |
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559 | (7) |
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6.6 Modeling Harmonic Motion |
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566 | (21) |
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580 | (6) |
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586 | (1) |
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Focus on Modeling Fitting Sinusoidal Curves to Data |
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587 | (6) |
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593 | (50) |
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593 | (1) |
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7.1 Trigonometric Identities |
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594 | (7) |
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7.2 Addition and Subtraction Formulas |
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601 | (9) |
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7.3 Double-Angle, Half-Angle, and Product-Sum Formulas |
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610 | (10) |
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7.4 Basic Trigonometric Equations |
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620 | (6) |
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7.5 More Trigonometric Equations |
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626 | (12) |
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632 | (5) |
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637 | (1) |
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Focus on Modeling Traveling and Standing Waves |
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638 | (5) |
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Cumulative Review Test: Chapters 5, 6, and 7 (Website) |
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8 Polar Coordinates, Parametric Equations, and Vectors |
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643 | (62) |
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643 | (1) |
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644 | (6) |
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8.2 Graphs of Polar Equations |
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650 | (8) |
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8.3 Polar Form of Complex Numbers; De Moivre's Theorem |
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658 | (10) |
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8.4 Plane Curves and Parametric Equations |
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668 | (9) |
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677 | (10) |
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687 | (14) |
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695 | (4) |
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699 | (2) |
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Focus on Modeling The Path of a Projectile |
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701 | (4) |
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9 Systems of Equations and Inequalities |
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705 | (52) |
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705 | (1) |
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9.1 Systems of Linear Equations in Two Variables |
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706 | (11) |
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9.2 Systems of Linear Equations in Several Variables |
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717 | (8) |
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725 | (6) |
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9.4 Systems of Nonlinear Equations |
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731 | (5) |
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9.5 Systems of Inequalities |
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736 | (15) |
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746 | (4) |
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750 | (1) |
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Focus on Modeling Linear Programming |
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751 | (6) |
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10 Matrices and Determinants |
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757 | (56) |
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757 | (1) |
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10.1 Matrices and Systems of Linear Equations |
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758 | (13) |
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10.2 The Algebra of Matrices |
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771 | (10) |
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10.3 Inverses of Matrices and Matrix Equations |
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781 | (10) |
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10.4 Determinants and Cramer's Rule |
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791 | (18) |
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802 | (6) |
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808 | (1) |
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Focus on Modeling Computer Graphics |
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809 | (4) |
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813 | (62) |
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813 | (1) |
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814 | (9) |
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823 | (9) |
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832 | (8) |
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840 | (10) |
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850 | (8) |
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11.6 Polar Equations of Conies |
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858 | (12) |
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864 | (5) |
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869 | (1) |
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Focus on Modeling Conies in Architecture |
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870 | (5) |
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Cumulative Review Test: Chapters 8, 9, 10, and 11 (Website) |
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875 | (1) |
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12.1 Sequences and Summation Notation |
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876 | (10) |
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12.2 Arithmetic Sequences |
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886 | (6) |
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892 | (9) |
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12.4 Mathematical Induction |
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901 | (6) |
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12.5 The Binomial Theorem |
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907 | (13) |
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915 | (4) |
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919 | (1) |
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Focus on Modeling Modeling with Recursive Sequences |
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920 | (5) |
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13 Counting and Probability |
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925 | (1) |
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926 | (12) |
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938 | (13) |
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13.3 Binomial Probability |
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951 | (6) |
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957 | (9) |
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960 | (5) |
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965 | (1) |
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Focus on Modeling The Monte Carlo Method |
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966 | (5) |
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Cumulative Review Test: Chapters 12 and 13 (Website) |
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Appendix A Geometry Review |
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971 | |
Appendix B Calculations and Significant Figures (Website) |
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Appendix C Graphing with a Graphing Calculator (Website) |
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Appendix D Using the TI-83/84 Graphing Calculator (Website) |
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Appendix E Three-Dimensional Coordinate Geometry (Website) |
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Appendix F Mathematics of Finance (Website) |
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Appendix G Probability and Statistics (Website) |
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Answers |
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1 | (1) |
Index |
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1 | |