| A Word from the Authors (Preface) |
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vii | |
| Features |
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ix | |
| A Plan for You as a Student |
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xx | |
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0-1 | |
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0-2 | |
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Absolute Value and Distance on the Real Line |
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0-8 | |
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0-13 | |
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0-19 | |
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Fractions and Rationalization |
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0-25 | |
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Functions, Graphs, and Limits |
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1 | (80) |
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The Cartesian Plane and the Distance Formula |
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2 | (9) |
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11 | (13) |
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Lines in the Plane and Slope |
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24 | (12) |
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36 | (13) |
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49 | (12) |
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61 | (20) |
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81 | (90) |
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The Derivative and the Slope of a Graph |
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82 | (11) |
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Some Rules for Differentiation |
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93 | (12) |
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Rates of Change: Velocity and Marginals |
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105 | (15) |
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The Product and Quotient Rules |
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120 | (11) |
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131 | (9) |
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140 | (7) |
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147 | (7) |
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154 | (17) |
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Applications of the Derivative |
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171 | (86) |
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Increasing and Decreasing Functions |
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172 | (9) |
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Extrema and the First-Derivative Test |
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181 | (10) |
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Concavity and the Second-Derivative Test |
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191 | (10) |
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201 | (9) |
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Business and Economics Applications |
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210 | (10) |
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220 | (11) |
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Curve Sketching: A Summary |
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231 | (9) |
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Differentials and Marginal Analysis |
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240 | (17) |
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Exponential and Logarithmic Functions |
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257 | (56) |
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258 | (11) |
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Derivatives of Exponential Functions |
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269 | (8) |
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277 | (9) |
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Derivatives of Logarithmic Functions |
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286 | (9) |
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Exponential Growth and Decay |
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295 | (18) |
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Integration and Its Applications |
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313 | (70) |
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Antiderivatives and Indefinite Integrals |
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314 | (11) |
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325 | (8) |
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Exponential and Logarithmic Integrals |
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333 | (7) |
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Area and the Fundamental Theorem of Calculus |
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340 | (11) |
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The Area of a Region Bounded by Two Graphs |
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351 | (9) |
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The Definite Integral as the Limit of a Sum |
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360 | (7) |
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Volumes of Solids of Revolution |
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367 | (16) |
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Techniques of Integration |
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383 | (68) |
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Integration by Substitution |
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384 | (8) |
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Integration by Parts and Present Value |
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392 | (10) |
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Partial Fractions and Logistics Growth |
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402 | (10) |
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Integration Tables and Completing the Square |
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412 | (10) |
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422 | (10) |
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432 | (19) |
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Functions of Several Variables |
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451 | (1) |
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The Three-Dimensional Coordinate System |
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452 | (8) |
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460 | (10) |
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Functions of Several Variables |
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470 | (9) |
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479 | (11) |
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Extrema of Functions of Two Variables |
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490 | (1) |
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500 | (10) |
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Least Squares Regression Analysis |
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510 | (10) |
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Double Integrals and Area in the Plane |
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520 | (8) |
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Applications of Double Integrals |
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528 | |
| Appendices |
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A1 | |
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Appendix A Alternate Introduction to the Fundamental Theorem of Calculus |
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A2 | |
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Appendix B Formulas, Properties, and Measurements |
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A12 | |
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Appendix C Graphing Utility Programs |
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A37 | |
| Answers to Selected Exercises |
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A49 | |
| Index |
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A117 | |
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