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Part I: Using This Book to Improve Your AP Score |
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1 | (6) |
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Preview: Your Knowledge, Your Expectations |
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2 | (1) |
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Your Guide to Using This Book |
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2 | (1) |
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3 | (4) |
Part II: Practice Test 1 |
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7 | (58) |
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9 | (28) |
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Practice Test 1: Answers and Explanations |
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37 | (28) |
Part Ill: About the AP Calculus AB Exam |
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65 | (8) |
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AB Calculus vs. BC Calculus |
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66 | (1) |
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The Structure of the Calculus Exam |
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66 | (1) |
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How the AP Calculus AB Exam is Scored |
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67 | (1) |
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Overview of Content Topics |
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67 | (3) |
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General Overview of This Book |
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70 | (1) |
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71 | (1) |
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71 | (1) |
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Designing Your Study Plan |
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72 | (1) |
Part IV: Test-Taking Strategies for the AP Calculus AB Exam |
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73 | (10) |
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1 How to Approach Multiple-Choice Questions |
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75 | (4) |
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2 How to Approach Free-Response Questions |
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79 | (4) |
Part V: Content Review for the AP Calculus AB Exam |
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83 | (448) |
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Unit 1: Differential Calculus Essentials |
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85 | (2) |
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87 | (14) |
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88 | (5) |
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Limits of Trigonometric Functions |
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93 | (4) |
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97 | (3) |
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100 | (1) |
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101 | (12) |
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The Definition of Continuity |
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102 | (2) |
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104 | (6) |
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110 | (2) |
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112 | (1) |
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5 The Definition of the Derivative |
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113 | (12) |
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114 | (5) |
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119 | (3) |
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122 | (1) |
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123 | (2) |
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125 | (28) |
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126 | (1) |
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127 | (2) |
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129 | (1) |
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130 | (1) |
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131 | (1) |
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132 | (1) |
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133 | (2) |
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135 | (4) |
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139 | (1) |
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Derivatives of Trig Functions |
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140 | (5) |
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145 | (4) |
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149 | (2) |
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151 | (2) |
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7 Implicit Differentiation |
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153 | (16) |
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154 | (6) |
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160 | (3) |
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163 | (1) |
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164 | (3) |
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Unit 2: Differential Calculus Applications |
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167 | (2) |
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8 Basic Applications of the Derivative |
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169 | (16) |
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Equations of Tangent Lines and Normal Lines |
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170 | (6) |
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176 | (1) |
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The Mean Value Theorem for Derivatives |
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177 | (2) |
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179 | (3) |
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182 | (1) |
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183 | (2) |
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9 Maxima, Minima, and Curve Stretching |
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185 | (30) |
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Applied Maxima and Minima Problems |
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186 | (11) |
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197 | (1) |
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198 | (15) |
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213 | (1) |
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214 | (1) |
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215 | (14) |
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216 | (5) |
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221 | (1) |
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Position, Velocity, and Acceleration |
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221 | (5) |
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226 | (1) |
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227 | (2) |
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11 Derivatives of Exponential and Logarithmic Functions |
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229 | (10) |
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230 | (1) |
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231 | (1) |
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232 | (1) |
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233 | (3) |
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236 | (1) |
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237 | (2) |
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12 Other Topics in Differential Calculus |
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239 | (18) |
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The Derivative of an Inverse Function |
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240 | (3) |
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243 | (1) |
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244 | (3) |
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247 | (1) |
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248 | (4) |
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252 | (1) |
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253 | (2) |
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Unit 3: Integral Calculus Essentials |
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255 | (2) |
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257 | (16) |
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258 | (2) |
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Integrals of Trig Functions |
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260 | (1) |
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260 | (4) |
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264 | (1) |
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265 | (5) |
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270 | (1) |
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271 | (2) |
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273 | (30) |
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274 | (7) |
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281 | (9) |
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290 | (1) |
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The Mean Value Theorem for Integrals |
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291 | (9) |
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300 | (1) |
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301 | (2) |
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15 Integrals of Exponential, Logarithmic, and Trig Functions |
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303 | (20) |
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304 | (6) |
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310 | (1) |
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More Integrals of Trig Functions |
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311 | (3) |
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314 | (4) |
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318 | (1) |
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319 | (2) |
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Unit 4: Integral Calculus Applications |
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321 | (2) |
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16 The Area Between Two Curves |
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323 | (14) |
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324 | (3) |
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327 | (7) |
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334 | (1) |
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335 | (2) |
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17 The Volume of a Solid of Revolution |
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337 | (24) |
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338 | (7) |
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345 | (4) |
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Volumes of Solids with Known Cross-Sections |
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349 | (7) |
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356 | (2) |
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358 | (3) |
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18 Differential Equations |
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361 | (12) |
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362 | (4) |
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366 | (3) |
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369 | (2) |
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371 | (2) |
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19 Solutions to Practice Problem Sets |
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373 | (128) |
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20 Solutions to End of Chapter Drills |
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501 | (30) |
Part VI: Practice Tests 2 and 3 |
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531 | (110) |
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533 | (28) |
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Practice Test 2: Answers and Explanations |
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561 | (22) |
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583 | (32) |
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Practice Test 3: Answers and Explanations |
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615 | (26) |
Part VII: Additional Practice Tests |
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641 | (94) |
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643 | (26) |
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Practice Test 4: Answers and Explanations |
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669 | (20) |
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689 | (26) |
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Practice Test 5: Answers and Explanations |
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715 | (20) |
About the Author |
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