A Word from the Authors (Preface) |
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viii | |
Features Highlights |
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xii | |
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Functions and Their Graphs |
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1 | (86) |
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Introduction to Library of Functions |
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2 | (1) |
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3 | (13) |
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16 | (14) |
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30 | (12) |
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Shifting, Reflecting, and Stretching Graphs |
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42 | (9) |
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Combinations of Functions |
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51 | (11) |
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62 | (10) |
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Exploring Data: Linear Models and Scatter Plots |
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72 | (15) |
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81 | (1) |
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82 | (4) |
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86 | (1) |
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Polynomial and Rational Functions |
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87 | (88) |
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88 | (11) |
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Polynomial Functions of Higher Degree |
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99 | (13) |
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Real Zeros of Polynomial Functions |
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112 | (15) |
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127 | (8) |
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The Fundamental Theorem of Algebra |
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135 | (7) |
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Rational Functions and Asymptotes |
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142 | (10) |
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Graphs of Rational Functions |
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152 | (9) |
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Exploring Data: Quadratic Models |
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161 | (14) |
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168 | (1) |
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169 | (5) |
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174 | (1) |
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Exponential and Logarithmic Functions |
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175 | (72) |
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Exponential Functions and Their Graphs |
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176 | (12) |
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Logarithmic Functions and Their Graphs |
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188 | (11) |
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199 | (7) |
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Solving Exponential and Logarithmic Equations |
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206 | (11) |
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Exponential and Logarithmic Models |
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217 | (12) |
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Exploring Data: Nonlinear Models |
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229 | (18) |
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238 | (1) |
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239 | (5) |
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244 | (1) |
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Cumulative Test: Chapters 1--3 |
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245 | (2) |
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247 | (92) |
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Radian and Degree Measure |
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248 | (11) |
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Trigonometric Functions: The Unit Circle |
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259 | (8) |
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Right Triangle Trigonometry |
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267 | (11) |
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Trigonometric Functions of Any Angle |
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278 | (9) |
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Graphs of Sine and Cosine Functions |
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287 | (11) |
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Graphs of Other Trigonometric Functions |
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298 | (11) |
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Inverse Trigonometric Functions |
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309 | (11) |
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320 | (19) |
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332 | (1) |
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333 | (5) |
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338 | (1) |
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339 | (52) |
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Using Fundamental Identities |
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340 | (8) |
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Verifying Trigonometric Identities |
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348 | (8) |
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Solving Trigonometric Equations |
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356 | (12) |
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Sum and Difference Formulas |
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368 | (7) |
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Multiple-Angle and Product-to-Sum Formulas |
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375 | (16) |
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386 | (1) |
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387 | (3) |
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390 | (1) |
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Additional Topics in Trigonometry |
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391 | (60) |
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392 | (9) |
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401 | (7) |
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408 | (14) |
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422 | (10) |
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Trigonometric Form of a Complex Number |
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432 | (19) |
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443 | (1) |
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444 | (4) |
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448 | (1) |
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Cumulative Test: Chapters 4--6 |
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449 | (2) |
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Linear Systems and Matrices |
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451 | (104) |
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Solving Systems of Equations |
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452 | (11) |
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Systems of Linear Equations in Two Variables |
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463 | (10) |
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Multivariable Linear Systems |
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473 | (16) |
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Matrices and Systems of Equations |
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489 | (15) |
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504 | (15) |
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The Inverse of a Square Matrix |
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519 | (9) |
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The Determinant of a Square Matrix |
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528 | (8) |
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Applications of Matrices and Determinants |
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536 | (19) |
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546 | (2) |
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548 | (6) |
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554 | (1) |
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Sequences, Series, and Probability |
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555 | (76) |
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556 | (11) |
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Arithmetic Sequences and Partial Sums |
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567 | (9) |
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Geometric Sequences and Series |
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576 | (10) |
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586 | (8) |
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594 | (8) |
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602 | (10) |
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612 | (19) |
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625 | (1) |
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626 | (4) |
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630 | (1) |
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Topics in Analytic Geometry |
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631 | (74) |
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Introduction to Conics: Parabolas |
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632 | (8) |
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640 | (9) |
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649 | (10) |
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Rotation and Systems of Quadratic Equations |
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659 | (9) |
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668 | (8) |
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676 | (6) |
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Graphs of Polar Equations |
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682 | (9) |
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Polar Equations of Conics |
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691 | (14) |
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698 | (1) |
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699 | (4) |
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703 | (1) |
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Cumulative Test: Chapters 7--9 |
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704 | (1) |
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Analytic Geometry in Three Dimensions |
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705 | (36) |
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The Three-Dimensional Coordinate System |
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706 | (8) |
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714 | (7) |
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The Cross Product of Two Vectors |
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721 | (7) |
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Lines and Planes in Space |
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728 | (13) |
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737 | (1) |
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738 | (2) |
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740 | (1) |
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Limits and an Introduction to Calculus |
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741 | |
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742 | (11) |
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Techniques for Evaluating Limits |
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753 | (10) |
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763 | (10) |
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Limits at Infinity and Limits of Sequences |
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773 | (9) |
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782 | |
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790 | (1) |
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791 | (3) |
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794 | (1) |
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Cumulative Test: Chapters 10--11 |
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795 | |
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Appendix A Technology Support Guide |
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1 | (24) |
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Appendix B Review of Graphs, Equations, and Inequalities |
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25 | (59) |
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25 | (11) |
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36 | (11) |
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Solving Equations Algebraically and Graphically |
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47 | (16) |
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Solving Inequalities Algebraically and Graphically |
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63 | (12) |
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Exploring Data: Representing Data Graphically |
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75 | (9) |
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Appendix C Proofs of Selected Theorems |
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84 | (14) |
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Appendix D Concepts in Statistics |
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98 | (11) |
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Measures of Central Tendency and Dispersion |
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98 | (9) |
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107 | (2) |
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Appendix E Solving Linear Equations and Inequalities |
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109 | (3) |
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Appendix F Systems of Inequalities |
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112 | (19) |
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Solving Systems of Inequalities |
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112 | (10) |
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122 | (9) |
Answers to Odd-Numbered Exercises and Tests |
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131 | (142) |
Index of Applications |
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273 | (4) |
Index |
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277 | |