List of Graphing Calculator Topics |
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ix | |
Preface |
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xi | |
Chapter 1 Topics From Algebra |
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1 | (80) |
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2 | (14) |
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1.2 Exponents and Radicals |
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16 | (11) |
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1.3 Algebraic Expressions |
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27 | (14) |
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41 | (16) |
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57 | (7) |
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64 | (11) |
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Chapter 1 Review Exercises |
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75 | (2) |
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Chapter 1 Discussion Exercises |
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77 | (2) |
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79 | (2) |
Chapter 2 Functions And Graphs |
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81 | (102) |
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2.1 Rectangular Coordinate Systems |
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82 | (7) |
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89 | (15) |
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104 | (16) |
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2.4 Definition of Function |
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120 | (16) |
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136 | (15) |
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151 | (14) |
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2.7 Operations on Functions |
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165 | (9) |
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Chapter 2 Review Exercises |
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174 | (6) |
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Chapter 2 Discussion Exercises |
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180 | (1) |
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181 | (2) |
Chapter 3 Polynomial And Rational Functions |
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183 | (66) |
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3.1 Polynomial Functions of Degree Greater Than 2 |
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184 | (10) |
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3.2 Properties of Division |
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194 | (7) |
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201 | (12) |
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3.4 Complex and Rational Zeros of Polynomials |
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213 | (8) |
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221 | (15) |
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236 | (8) |
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Chapter 3 Review Exercises |
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244 | (2) |
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Chapter 3 Discussion Exercises |
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246 | (1) |
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247 | (2) |
Chapter 4 Inverse, Exponential, And Logarithmic Functions |
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249 | (74) |
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250 | (11) |
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4.2 Exponential Functions |
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261 | (13) |
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4.3 The Natural Exponential Function |
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274 | (9) |
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4.4 Logarithmic Functions |
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283 | (14) |
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4.5 Properties of Logarithms |
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297 | (8) |
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4.6 Exponential and Logarithmic Equations |
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305 | (11) |
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Chapter 4 Review Exercises |
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316 | (3) |
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Chapter 4 Discussion Exercises |
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319 | (3) |
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322 | (1) |
Chapter 5 The Trigonometric Functions |
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323 | (92) |
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324 | (10) |
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5.2 Trigonometric Functions of Angles |
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334 | (15) |
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5.3 Trigonometric Functions of Real Numbers |
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349 | (17) |
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5.4 Values of the Trigonometric Functions |
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366 | (7) |
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373 | (13) |
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5.6 Additional Trigonometric Graphs |
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386 | (7) |
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393 | (12) |
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Chapter 5 Review Exercises |
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405 | (6) |
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Chapter 5 Discussion Exercises |
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411 | (1) |
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412 | (3) |
Chapter 6 Analytic Trigonometry |
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415 | (66) |
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6.1 Verifying Trigonometric Identities |
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416 | (6) |
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6.2 Trigonometric Equations |
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422 | (14) |
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6.3 The Addition and Subtraction Formulas |
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436 | (10) |
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6.4 Multiple-Angle Formulas |
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446 | (9) |
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6.5 Product-to-Sum and Sum-to-Product Formulas |
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455 | (5) |
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6.6 The Inverse Trigonometric Functions |
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460 | (15) |
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Chapter 6 Review Exercises |
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475 | (2) |
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Chapter 6 Discussion Exercises |
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477 | (2) |
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479 | (2) |
Chapter 7 Applications Of Trigonometry |
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481 | (62) |
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482 | (9) |
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491 | (9) |
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500 | (14) |
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514 | (10) |
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7.5 Trigonometric Form for Complex Numbers |
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524 | (6) |
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7.6 De Moivre's Theorem and nth Roots of Complex Numbers |
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530 | (5) |
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Chapter 7 Review Exercises |
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535 | (3) |
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Chapter 7 Discussion Exercises |
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538 | (2) |
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540 | (3) |
Chapter 8 Systems Of Equations And Inequalities |
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543 | (92) |
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544 | (9) |
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8.2 Systems of Linear Equations in Two Variables |
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553 | (9) |
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8.3 Systems of Inequalities |
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562 | (7) |
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569 | (8) |
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8.5 Systems of Linear Equations in More Than Two Variables |
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577 | (15) |
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8.6 The Algebra of Matrices |
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592 | (9) |
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8.7 The Inverse of a Matrix |
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601 | (6) |
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607 | (6) |
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8.9 Properties of Determinants |
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613 | (8) |
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621 | (6) |
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Chapter 8 Review Exercises |
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627 | (3) |
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Chapter 8 Discussion Exercises |
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630 | (2) |
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632 | (3) |
Chapter 9 Sequences, Series, And Probability |
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635 | (80) |
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9.1 Infinite Sequences and Summation Notation |
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636 | (13) |
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649 | (7) |
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656 | (10) |
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9.4 Mathematical Induction |
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666 | (6) |
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672 | (8) |
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680 | (7) |
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9.7 Distinguishable Permutations and Combinations |
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687 | (7) |
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694 | (15) |
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Chapter 9 Review Exercises |
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709 | (2) |
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Chapter 9 Discussion Exercises |
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711 | (2) |
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713 | (2) |
Chapter 10 Topics From Analytic Geometry |
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715 | (74) |
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716 | (9) |
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725 | (13) |
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738 | (11) |
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10.4 Plane Curves and Parametric Equations |
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749 | (13) |
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762 | (14) |
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10.6 Polar Equations of Conics |
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776 | (6) |
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Chapter 10 Review Exercises |
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782 | (2) |
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Chapter 10 Discussion Exercises |
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784 | (2) |
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786 | (3) |
Chapter 11 Limits Of Functions |
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789 | |
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11.1 Introduction to Limits |
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790 | (10) |
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800 | (8) |
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11.3 Techniques for Finding Limits |
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808 | (9) |
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11.4 Limits Involving Infinity |
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817 | (12) |
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Chapter 11 Review Exercises |
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829 | (1) |
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Chapter 11 Discussion Exercises |
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830 | (1) |
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831 | |
Appendixes |
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APP1 | |
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I Common Graphs and Their Equations |
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APP2 | |
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II A Summary of Graph Transformations |
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APP4 | |
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III Graphs of Trigonometric Functions and Their Inverses |
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APP6 | |
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IV Values of the Trigonometric Functions of Special Angles on a Unit Circle |
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APP8 | |
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APP9 | |
Answers to Selected Exercises |
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A1 | |
Index |
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A85 | |