Preface |
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xv | |
To the Student |
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xxiii | |
Calculators and Calculations |
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xxiv | |
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1 | (145) |
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1 | (1) |
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2 | (10) |
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12 | (12) |
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24 | (11) |
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Discovery Project: Visualizing a Formula |
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34 | (1) |
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35 | (9) |
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44 | (14) |
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58 | (18) |
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Discovery Project: Equations through the Ages |
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75 | (1) |
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76 | (11) |
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87 | (14) |
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Graphing Calculators; Solving Equations and Inequalities Graphically |
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101 | (10) |
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111 | (12) |
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123 | (23) |
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130 | (5) |
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135 | (3) |
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Focus on Problem Solving: General Principles |
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138 | (8) |
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146 | (102) |
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147 | (1) |
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148 | (10) |
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158 | (15) |
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Discovery Project: Relations and Functions |
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171 | (2) |
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Increasing and Decreasing Functions; Average Rate of Change |
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173 | (9) |
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Transformations of Functions |
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182 | (11) |
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Quadratic Functions; Maxima and Minima |
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193 | (10) |
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203 | (11) |
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214 | (11) |
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Discovery Project: Iteration and Chaos |
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223 | (2) |
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One-to-One Functions and Their Inverses |
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225 | (23) |
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233 | (4) |
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237 | (2) |
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Focus on Modeling: Fitting Lines to Data |
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239 | (9) |
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Polynomial and Rational Functions |
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248 | (78) |
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249 | (1) |
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Polynomial Functions and Their Graphs |
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250 | (15) |
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265 | (7) |
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Real Zeros of Polynomials |
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272 | (13) |
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Discovery Project: Zeroing in on a Zero |
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283 | (2) |
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285 | (6) |
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Complex Zeros and the Fundamental Theorem of Algebra |
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291 | (8) |
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299 | (27) |
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316 | (3) |
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319 | (1) |
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Focus on Modeling: Fitting Polynomial Curves to Data |
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320 | (6) |
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Exponential and Logarithmic Functions |
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326 | (72) |
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327 | (1) |
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328 | (14) |
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Discovery Project: Exponential Explosion |
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341 | (1) |
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342 | (10) |
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352 | (6) |
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Exponential and Logarithmic Equations |
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358 | (11) |
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Modeling with Exponential and Logarithmic Functions |
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369 | (29) |
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382 | (3) |
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385 | (1) |
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Focus on Modeling: Fitting Exponential and Power Curves to Data |
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386 | (12) |
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Trigonometric Functions of Real Numbers |
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398 | (68) |
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399 | (1) |
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400 | (8) |
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Trigonometric Functions of Real Numbers |
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408 | (10) |
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418 | (16) |
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Discovery Project: Predator/Prey Models |
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432 | (2) |
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More Trigonometric Graphs |
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434 | (8) |
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442 | (24) |
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454 | (4) |
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458 | (1) |
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Focus on Modeling: Fitting Sinusoidal Curves to Data |
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459 | (7) |
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Trigonometric Functions of Angles |
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466 | (60) |
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467 | (1) |
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468 | (10) |
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Trigonometry of Right Triangles |
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478 | (10) |
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Trigonometric Functions of Angles |
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488 | (13) |
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Discovery Project: Similarity |
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499 | (2) |
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501 | (7) |
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508 | (18) |
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516 | (4) |
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520 | (2) |
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Focus on Modeling: Surveying |
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522 | (4) |
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526 | (54) |
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527 | (1) |
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528 | (7) |
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Addition and Subtraction Formulas |
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535 | (6) |
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Double-Angle, Half-Angle, and Sum-Product Formulas |
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541 | (9) |
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Inverse Trigonometric Functions |
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550 | (11) |
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Discovery Project: Where to Sit at the Movies |
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560 | (1) |
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561 | (19) |
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571 | (3) |
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574 | (1) |
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Focus on Modeling: Traveling and Standing Waves |
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575 | (5) |
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Polar Coordinates and Vectors |
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580 | (54) |
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581 | (1) |
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582 | (5) |
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Graphs of Polar Equations |
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587 | (9) |
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Polar Form of Complex Numbers; DeMoivre's Theorem |
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596 | (11) |
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Discovery Project: Fractals |
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605 | (2) |
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607 | (10) |
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617 | (17) |
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Discovery Project: Sailing Against the Wind |
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626 | (1) |
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627 | (2) |
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629 | (1) |
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Focus on Modeling: Mapping the World |
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630 | (4) |
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Systems of Equations and Inequalities |
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634 | (108) |
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635 | (1) |
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636 | (8) |
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Systems of Linear Equations in Two Variables |
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644 | (7) |
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Systems of Linear Equations in Several Variables |
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651 | (11) |
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Discovery Project: Best Fit versus Exact Fit |
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660 | (2) |
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Systems of Linear Equations: Matrices |
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662 | (13) |
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675 | (14) |
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Discovery Project: Will the Species Survive? |
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688 | (1) |
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Inverses of Matrices and Matrix Equations |
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689 | (15) |
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Discovery Project: Computer Graphics I |
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700 | (4) |
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Determinants and Cramer's Rule |
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704 | (11) |
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715 | (6) |
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721 | (21) |
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728 | (5) |
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733 | (2) |
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Focus on Modeling: Linear Programming |
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735 | (7) |
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742 | (78) |
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743 | (1) |
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744 | (9) |
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753 | (9) |
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762 | (13) |
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Discovery Project: Conics in Architecture |
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771 | (4) |
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775 | (8) |
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783 | (12) |
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Discovery Project: Computer Graphics II |
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792 | (3) |
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Polar Equations of Conics |
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795 | (6) |
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Plane Curves and Parametric Equations |
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801 | (19) |
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810 | (4) |
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814 | (2) |
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Focus on Modeling: The Path of a Projectile |
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816 | (4) |
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820 | (60) |
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821 | (1) |
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Sequences and Summation Notation |
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822 | (11) |
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833 | (5) |
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838 | (10) |
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Discovery Project: Finding Patterns |
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847 | (1) |
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848 | (6) |
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854 | (6) |
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860 | (20) |
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870 | (3) |
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873 | (1) |
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Focus on Modeling: Modeling with Recursive Sequences |
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874 | (6) |
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Limits: A Preview of Calculus |
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880 | |
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881 | (1) |
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Finding Limits Numerically and Graphically |
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882 | (8) |
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Finding Limits Algebraically |
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890 | (8) |
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Tangent Lines and Derivatives |
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898 | (10) |
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Discovery Project: Designing a Roller Coaster |
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908 | (1) |
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Limits at Infinity: Limits of Sequences |
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908 | (8) |
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916 | |
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925 | (3) |
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928 | (1) |
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Focus on Modeling: Interpretations of Area |
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929 | |
Answers |
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1 | (10) |
Index |
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11 | |
Photo Credits |
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1 | |