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Linear And Quadratic Functions |
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1 | (6) |
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7 | (7) |
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Finding Equations of Lines |
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14 | (5) |
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Linear Functions and Models |
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19 | (6) |
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25 | (5) |
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Solving Quadratic Equations |
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30 | (7) |
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Quadratic Functions and Their Graphs |
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37 | (6) |
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43 | (5) |
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48 | (2) |
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50 | (3) |
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Zeros and Factors of Polynomial Functions |
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53 | (5) |
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Synthetic Division; The Remainder and Factor Theorems |
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58 | (4) |
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Graphs; Maximums and Minimums |
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Graphing Polynomial Functions |
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62 | (6) |
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Finding Maximums and Minimums of Polynomial Functions |
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68 | (7) |
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Using Technology to Approximate Roots of Polynomial Equations |
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75 | (5) |
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Solving Polynomial Equations by Factoring |
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80 | (5) |
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General Results for Polynomial Equations |
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85 | (6) |
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91 | (2) |
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93 | (2) |
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Inequalities in One Variable |
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Linear Inequalities; Absolute Value |
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95 | (5) |
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Polynomial Inequalities in One Variable |
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100 | (4) |
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Inequalities in Two Variables |
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Polynomial Inequalities in Two Variables |
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104 | (4) |
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108 | (6) |
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114 | (1) |
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115 | (1) |
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116 | (1) |
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Careers in Architecture and Urban Planning |
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117 | (2) |
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119 | (5) |
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124 | (7) |
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Graphs and Inverses of Functions |
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Reflecting Graphs; Symmetry |
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131 | (7) |
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Periodic Functions; Stretching and Translating Graphs |
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138 | (8) |
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146 | (5) |
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Applications of Functions |
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Functions of Two Variables |
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151 | (6) |
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Forming Functions from Verbal Descriptions |
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157 | (8) |
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165 | (1) |
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166 | (3) |
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Growth and Decay: Integral Exponents |
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169 | (6) |
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Growth and Decay: Rational Exponents |
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175 | (5) |
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180 | (6) |
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The Number e and the Function eX |
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186 | (5) |
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191 | (6) |
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197 | (6) |
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Exponential Equations; Changing Bases |
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203 | (5) |
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208 | (1) |
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209 | (1) |
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210 | (3) |
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213 | (44) |
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214 | (5) |
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219 | (6) |
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225 | (6) |
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231 | (7) |
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238 | (4) |
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Systems of Second-Degree Equations |
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242 | (5) |
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A New Look at Conic Sections |
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247 | (5) |
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252 | (1) |
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253 | (1) |
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254 | (3) |
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Angles, Arcs, and Sectors |
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257 | (6) |
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263 | (5) |
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The Trigonometric Functions |
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The Sine and Cosine Functions |
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268 | (7) |
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Evaluating and Graphing Sine and Cosine |
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275 | (7) |
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The Other Trigonometric Functions |
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282 | (4) |
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The Inverse Trigonometric Functions |
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286 | (5) |
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291 | (2) |
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293 | (2) |
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Trigonometric Equations and Applications |
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Equations and Applications of Sine Waves |
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Simple Trigonometric Equations |
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295 | (6) |
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301 | (7) |
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Modeling Periodic Behavior |
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308 | (9) |
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Relationships Among the Functions |
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317 | (6) |
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Solving More Difficult Trigonometric Equations |
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323 | (5) |
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328 | (1) |
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328 | (3) |
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331 | (8) |
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339 | (6) |
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345 | (5) |
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350 | (5) |
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Mixed Trigonometry Exercises |
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355 | (11) |
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Applications of Trigonometry to Navigation and Surveying |
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359 | (5) |
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364 | (1) |
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365 | (1) |
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The People of Mathematics |
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366 | (3) |
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Trigonometric Addition Formulas |
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Formulas for cos (α±β) and sin (α±β) |
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369 | (6) |
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375 | (5) |
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Double-Angle and Half-Angle Formulas |
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380 | (6) |
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Solving Trigonometric Equations |
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386 | (5) |
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391 | (2) |
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393 | (2) |
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Polar Coordinates and Complex Numbers |
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Polar Coordinates and Graphs |
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395 | (8) |
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Geometric Representation of Complex Numbers |
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403 | (4) |
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Powers of Complex Numbers |
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407 | (5) |
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412 | (2) |
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414 | (1) |
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415 | (1) |
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416 | (3) |
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Properties and Basic Operations |
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Geometric Representation of Vectors |
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419 | (7) |
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Algebraic Representation of Vectors |
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426 | (6) |
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Vector and Parametric Equations: Motion in a Plane |
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432 | (9) |
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Parallel and Perpendicular Vectors; Dot Product |
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441 | (5) |
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Vectors in Three Dimensions |
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446 | (6) |
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452 | (6) |
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Determinants and Their Applications |
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458 | (3) |
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Applications of Determinants |
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461 | (4) |
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Determinants and Vectors in Three Dimensions |
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465 | (3) |
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468 | (1) |
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469 | (1) |
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470 | (3) |
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Finite Sequences and Series |
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Arithmetic and Geometric Sequences |
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473 | (6) |
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479 | (7) |
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Arithmetic and Geometric Series and Their Sums |
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486 | (7) |
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Infinite Sequences and Series |
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Limits of Infinite Sequences |
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493 | (7) |
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500 | (6) |
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506 | (4) |
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510 | (4) |
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514 | (1) |
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515 | (2) |
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Matrix Addition and Scalar Multiplication |
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517 | (6) |
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523 | (7) |
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Applying Matrices to Linear Systems |
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530 | (7) |
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537 | (6) |
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543 | (8) |
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551 | (9) |
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560 | (1) |
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560 | (2) |
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562 | (3) |
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565 | (6) |
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The Multiplication, Addition, and Complement Principles |
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571 | (7) |
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Permutations and Combinations |
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578 | (5) |
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Permutations with Repetition; Circular Permutations |
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583 | (4) |
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Mixed Combinatorics Exercises |
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587 | (10) |
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The Binomial Theorem; Pascal's Triangle |
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590 | (4) |
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594 | (1) |
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595 | (2) |
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Introduction to Probability |
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597 | (8) |
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Probability of Events Occurring Together |
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605 | (8) |
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The Binomial Probability Theorem |
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613 | (6) |
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Probability Problems Solved with Combinations |
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619 | (5) |
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Applications of Probability |
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Working with Conditional Probability |
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624 | (6) |
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630 | (6) |
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636 | (1) |
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636 | (3) |
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Tables, Graphs, and Averages |
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639 | (9) |
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648 | (5) |
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653 | (7) |
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660 | (9) |
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669 | (5) |
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Confidence Intervals for Surveys and Polls |
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674 | (6) |
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680 | (1) |
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681 | (2) |
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Introduction to Curve Fitting; The Least-Squares Line |
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683 | (8) |
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Fitting Exponential Curves |
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691 | (7) |
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698 | (7) |
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705 | (4) |
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709 | (1) |
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710 | (1) |
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711 | (2) |
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Careers in Genetics and Statistics |
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713 | (1) |
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714 | (3) |
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Limits, Series, and Iterated Functions |
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717 | (9) |
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Graphs of Rational Functions |
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726 | (3) |
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Using Technology to Approximate the Area under a Curve |
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729 | (4) |
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733 | (4) |
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737 | (7) |
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Applications of Iterated Functions |
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744 | (4) |
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748 | (1) |
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749 | (1) |
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Chaos in the Complex Plane |
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750 | (7) |
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An Introduction to Calculus |
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757 | (7) |
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Using Derivatives in Curve Sketching |
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764 | (5) |
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769 | (5) |
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Velocity and Acceleration |
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774 | (7) |
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781 | (1) |
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782 | (1) |
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783 | (1) |
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784 | (4) |
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Properties of the Real Number System |
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788 | (1) |
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789 | (1) |
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College Entrance Examinations |
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790 | (10) |
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800 | (22) |
| Appendix 1 Graph Theory |
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822 | (8) |
| Appendix 2 The Median-Median Line |
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830 | (5) |
| Appendix 3 Descartes' Rule of Signs and Bounds for Real Roots |
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835 | (3) |
| Appendix 4 Partial Fractions |
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838 | (4) |
| Appendix 5 Tangents and Normals to Conic Sections |
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842 | (4) |
| Appendix 6 Graphing Calculator Applications |
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846 | (8) |
| Refresher Exercises |
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854 | (10) |
| List of Symbols |
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864 | (2) |
| Visual Glossary of Functions |
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866 | (2) |
| Glossary |
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868 | (6) |
| Index |
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874 | |
Other versions by this Author
