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Part I Solutions to Odd-Numbered Exercises |
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1 | (624) |
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Functions and Their Graphs |
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Section 1.1 Rectangular Coordinates |
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2 | (5) |
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Section 1.2 Graphs of Equations |
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7 | (5) |
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Section 1.3 Linear Equations in Two Variables |
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12 | (7) |
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19 | (6) |
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Section 1.5 Analyzing Graphs of Functions |
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25 | (6) |
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Section 1.6 A Library of Parent Functions |
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31 | (4) |
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Section 1.7 Transformations of Functions |
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35 | (8) |
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Section 1.8 Combinations of Functions: Composite Functions |
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43 | (5) |
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Section 1.9 Inverse Functions |
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48 | (8) |
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Section 1.10 Mathematical Modeling and Variation |
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56 | (20) |
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60 | (10) |
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70 | (3) |
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73 | (3) |
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Polynomial and Rational Functions |
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Section 2.1 Quadratic Functions and Models |
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76 | (8) |
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Section 2.2 Polynomial Functions of Higher Degree |
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84 | (9) |
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Section 2.3 Polynomial and Synthetic Division |
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93 | (7) |
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Section 2.4 Complex Numbers |
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100 | (4) |
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Section 2.5 Zeros of Polynomial Functions |
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104 | (10) |
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Section 2.6 Rational Functions |
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114 | (9) |
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Section 2.7 Nonlinear Inequalities |
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123 | (25) |
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132 | (11) |
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143 | (2) |
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145 | (3) |
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Exponential and Logarithmic Functions |
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Section 3.1 Exponential Functions and Their Graphs |
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148 | (4) |
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Section 3.2 Logarithmic Functions and Their Graphs |
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152 | (5) |
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Section 3.3 Properties of Logarithms |
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157 | (4) |
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Section 3.4 Exponential and Logarithmic Equations |
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161 | (7) |
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Section 3.5 Exponential and Logarithmic Models |
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168 | (18) |
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175 | (7) |
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182 | (2) |
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184 | (2) |
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Section 4.1 Radian and Degree Measure |
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186 | (5) |
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Section 4.2 Trigonometric Functions: The Unit Circle |
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191 | (3) |
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Section 4.3 Right Triangle Trigonometry |
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194 | (6) |
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Section 4.4 Trigonometric Functions of Any Angle |
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200 | (6) |
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Section 4.5 Graphs of Sine and Cosine Functions |
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206 | (7) |
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Section 4.6 Graphs of Other Trigonometric Functions |
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213 | (6) |
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Section 4.7 Inverse Trigonometric Functions |
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219 | (6) |
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Section 4.8 Applications and Models |
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225 | (16) |
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230 | (7) |
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237 | (2) |
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239 | (2) |
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Section 5.1 Using Fundamental Identities |
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241 | (7) |
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Section 5.2 Verifying Trigonometric Identities |
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248 | (4) |
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Section 5.3 Solving Trigonometric Equations |
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252 | (6) |
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Section 5.4 Sum and Difference Formulas |
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258 | (9) |
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Section 5.5 Multiple-Angle and Product-to-Sum Formulas |
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267 | (24) |
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279 | (7) |
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286 | (3) |
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289 | (2) |
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Additional Topics in Trigonometry |
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291 | (4) |
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Section 6.2 Law of Cosines |
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295 | (5) |
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Section 6.3 Vectors in the Plane |
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300 | (6) |
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Section 6.4 Vectors and Dot Products |
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306 | (5) |
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Section 6.5 Trigonometric Form of a Complex Number |
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311 | (21) |
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321 | (7) |
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328 | (2) |
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330 | (2) |
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Systems of Equations and Inequalities |
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Section 7.1 Linear and Nonlinear Systems of Equations |
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332 | (7) |
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Section 7.2 Two-Variable Linear Systems |
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339 | (7) |
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Section 7.3 Multivariable Linear Systems |
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346 | (12) |
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Section 7.4 Partial Fractions |
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358 | (7) |
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Section 7.5 Systems of Inequalities |
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365 | (6) |
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Section 7.6 Linear Programming |
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371 | (21) |
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377 | (8) |
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385 | (4) |
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389 | (3) |
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Matrices and Determinants |
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Section 8.1 Matrices and Systems of Equations |
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392 | (8) |
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Section 8.2 Operations with Matrices |
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400 | (7) |
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Section 8.3 The Inverse of a Square Matrix |
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407 | (8) |
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Section 8.4 The Determinant of a Square Matrix |
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415 | (6) |
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Section 8.5 Applications of Matrices and Determinants |
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421 | (23) |
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427 | (11) |
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438 | (3) |
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441 | (3) |
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Sequences, Series, and Probability |
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Section 9.1 Sequences and Series |
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444 | (6) |
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Section 9.2 Arithmetic Sequences and Partial Sums |
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450 | (4) |
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Section 9.3 Geometric Sequences and Series |
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454 | (7) |
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Section 9.4 Mathematical Induction |
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461 | (8) |
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Section 9.5 The Binomial Theorem |
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469 | (5) |
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Section 9.6 Counting Principles |
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474 | (3) |
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477 | (13) |
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480 | (5) |
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485 | (3) |
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488 | (2) |
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Topics in Analytic Geometry |
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490 | (4) |
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Section 10.2 Introduction to Conics: Parabolas |
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494 | (5) |
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499 | (6) |
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505 | (6) |
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Section 10.5 Rotation of Conics |
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511 | (9) |
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Section 10.6 Parametric Equations |
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520 | (7) |
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Section 10.7 Polar Coordinates |
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527 | (5) |
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Section 10.8 Graphs of Polar Equations |
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532 | (6) |
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Section 10.9 Polar Equations of Conics |
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538 | (19) |
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544 | (8) |
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552 | (3) |
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555 | (2) |
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APPENDIX A Review of Fundamental Concepts of Algebra |
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Appendix A.1 Review of Real Numbers and Their Properties |
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557 | (5) |
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Appendix A.2 Exponents and Radicals |
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562 | (4) |
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Appendix A.3 Polynomials and Factoring |
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566 | (7) |
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Appendix A.4 Rational Expressions |
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573 | (4) |
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Appendix A.5 Solving Equations |
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577 | (12) |
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Appendix A.6 Linear Inequalities in One Variable |
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589 | (5) |
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Appendix A.7 Errors and the Algebra of Calculus |
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594 | (4) |
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Solutions to Practice Tests |
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598 | (27) |
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Part II Solutions to Chapter and Cumulative Tests |
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625 | |
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