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Chapter 1
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Functions And Their Graphs
1.1 | Rectangular Coordinates | Exercises | p.8 |
1.2 | Graphs of Equations | Exercises | p.21 |
1.3 | Linear Equations in Two Variables | Exercises | p.33 |
1.4 | Functions | Exercises | p.48 |
1.5 | Analyzing Graphs of Functions | Exercises | p.61 |
1.6 | A Library of Parent Functions | Exercises | p.71 |
1.7 | Transformations of Functions | Exercises | p.78 |
1.8 | Combinations of Functions: Composite Functions | Exercises | p.88 |
1.9 | Inverse Functions | Exercises | p.98 |
1.10 | Mathematical Modeling and Variation | Exercises | p.108 |
Review Exercises | p.116 | ||
Chapter Test | p.121 | ||
Problem Solving | p.123 |
Chapter 2
Polynomial And Rational Functions
2.1 | Quadratic Functions and Models | Exercises | p.132 |
2.2 | Polynomial Functions of Higher Degree | Exercises | p.145 |
2.3 | Polynomial and Synthetic Division | Exercises | p.156 |
2.4 | Complex Numbers | Exercises | p.164 |
2.5 | Zeros of Polynomial Functions | Exercises | p.176 |
2.6 | Rational Functions | Exercises | p.190 |
2.7 | Nonlinear Inequalities | Exercises | p.201 |
Review Exercises | p.206 | ||
Chapter Test | p.210 | ||
Problem Solving | p.213 |
Chapter 3
Exponential And Logarithmic Functions
3.1 | Exponential Functions and Their Graphs | Exercises | p.224 |
3.2 | Logarithmic Functions and Their Graphs | Exercises | p.234 |
3.3 | Properties of Logarithms | Exercises | p.241 |
3.4 | Exponential and Logarithmic Equations | Exercises | p.251 |
3.5 | Exponential and Logarithmic Models | Exercises | p.262 |
Review Exercises | p.270 | ||
Chapter Test | p.273 | ||
Cumulative Test for Chapters 1-3 | p.274 | ||
Problem Solving | p.277 |
Chapter 4
Trigonometry
4.1 | Radian and Degree Measure | Exercises | p.288 |
4.2 | Trigonometric Functions: The Unit Circle | Exercises | p.297 |
4.3 | Right Triangle Trigonometry | Exercises | p.306 |
4.4 | Trigonometric Functions of Any Angle | Exercises | p.316 |
4.5 | Graphs of Sine and Cosine Functions | Exercises | p.326 |
4.6 | Graphs of Other Trigonometric Functions | Exercises | p.337 |
4.7 | Inverse Trigonometric Functions | Exercises | p.347 |
4.8 | Applications and Models | Exercises | p.357 |
Review Exercises | p.364 | ||
Chapter Test | p.367 | ||
Problem Solving | p.369 |
Chapter 5
Analytic Trigonometry
5.1 | Using Fundamental Identities | Exercises | p.377 |
5.2 | Verifying Trigonometric Identities | Exercises | p.385 |
5.3 | Solving Trigonometric Equations | Exercises | p.394 |
5.4 | Sum and Difference Formulas | Exercises | p.402 |
5.5 | Multiple-Angle and Product-to-Sum Formulas | Exercises | p.413 |
Review Exercises | p.418 | ||
Chapter Test | p.421 | ||
Problem Solving | p.425 |
Chapter 6
Additional Topics In Trigonometry
6.1 | Law of Sines | Exercises | p.434 |
6.2 | Law of Cosines | Exercises | p.441 |
6.3 | Vectors in the Plane | Exercises | p.454 |
6.4 | Vectors and Dot Products | Exercises | p.465 |
6.5 | Trigonometric Form of a Complex Number | Exercises | p.476 |
Review Exercises | p.480 | ||
Chapter Test | p.484 | ||
Cumulative Test for Chapters 4-6 | p.485 | ||
Problem Solving | p.491 |
Calculus 10th Edition Pdf Download
Chapter 7
Systems Of Equations And Inequalities
7.1 | Linear and Nonlinear Systems of Equations | Exercises | p.501 |
7.2 | Two-Variable Linear Systems | Exercises | p.513 |
7.3 | Multivariable Linear Systems | Exercises | p.525 |
7.4 | Partial Fractions | Exercises | p.536 |
7.5 | Systems of Inequalities | Exercises | p.545 |
7.6 | Linear Programming | Exercises | p.555 |
Review Exercises | p.560 | ||
Problem Solving | p.567 |
Chapter 8
Matrices And Determinants
8.1 | Matrices and Systems of Equations | Exercises | p.579 |
8.2 | Operations with Matrices | Exercises | p.594 |
8.3 | The Inverse of a Square Matrix | Exercises | p.605 |
8.4 | The Determinant of a Square Matrix | Exercises | p.613 |
8.5 | Applications of Matrices and Determinants | Exercises | p.625 |
Review Exercises | p.630 | ||
Chapter Test | p.635 | ||
Problem Solving | p.637 |
Chapter 9
Sequences, Series, And Probability
9.1 | Sequences and Series | Exercises | p.647 |
9.2 | Arithmetic Sequences and Partial Sums | Exercises | p.657 |
9.3 | Geometric Sequences and Series | Exercises | p.667 |
9.4 | Mathematical Induction | Exercises | p.679 |
9.5 | The Binomial Theorem | Exercises | p.686 |
9.6 | Counting Principles | Exercises | p.696 |
9.7 | Probability | Exercises | p.707 |
Review Exercises | p.714 | ||
Chapter Test | p.717 | ||
Cumulative Test for Chapters 7-9 | p.718 | ||
Problem Solving | p.723 |
Chapter 10
Topics In Analytic Geometry
10.1 | Lines | Exercises | p.730 |
10.2 | Introduction to Conics: Parabolas | Exercises | p.738 |
10.3 | Ellipses | Exercises | p.748 |
10.4 | Hyperbolas | Exercises | p.758 |
10.5 | Rotation of Conics | Exercises | p.767 |
10.6 | Parametric Equations | Exercises | p.774 |
10.7 | Polar Coordinates | Exercises | p.781 |
10.8 | Graphs of Polar Equations | Exercises | p.789 |
10.9 | Polar Equations of Conics | Exercises | p.795 |
Review Exercises | p.800 | ||
Chapter Test | p.803 | ||
Problem Solving | p.807 |
Chapter Appendix A
Review Of Fundamental Concepts Of Algebra
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