Algebra and Trigonometry Enhanced with Graphing Utilities, 6th Edition

Algebra and Trigonometry Enhanced with Graphing Utilities, 6th Edition textbook answersISBN: 9780321784834
Author: Pearson
Published: 2012

Chapters: 1 2 3 4 5 6 7 8 9 10 11 12 13 14

 

Chapter 1

Graphs, Equations, And Inequalities (More story about how to prepare friendship speech)

1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations Assess Your Understanding p.93
1.2 Solving Equations Using a Graphing Utility; Linear and Rational Equations Assess Your Understanding p.106
1.3 Quadratic Equations Assess Your Understanding p.116
1.4 Complex Numbers; Quadratic Equations in the Complex Number System Assess Your Understanding p.127
1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations Assess Your Understanding p.134
1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications Assess Your Understanding p.142
1.7 Solving Inequalities Assess Your Understanding p.153
Review Exercises p.158
Chapter Test p.161

Chapter 2

Graphs

2.1 Intercepts; Symmetry; Graphing Key Equations Assess Your Understanding p.169
2.2 Lines Assess Your Understanding p.183
2.3 Circles Assess Your Understanding p.192
2.4 Variation Assess Your Understanding p.198
Review Exercises p.201
Chapter Test p.203
Cumulative Review p.203

Chapter 3

Functions And Their Graphs

3.1 Functions Assess Your Understanding p.216
3.2 The Graph of a Function Assess Your Understanding p.224
3.3 Properties of Functions Assess Your Understanding p.237
3.4 Library of Functions; Piecewise-defined Functions Assess Your Understanding p.248
3.5 Graphing Techniques: Transformations Assess Your Understanding p.260
3.6 Mathematical Models: Building Functions Assess Your Understanding p.267
Review Exercises p.272
Chapter Test p.273
Cumulative Review p.274

Chapter 4

Linear And Quadratic Functions

4.1 Linear Functions and Their Properties Assess Your Understanding p.284
4.2 Linear Models: Building Linear Functions from Data Assess Your Understanding p.291
4.3 Quadratic Functions and Their Properties Assess Your Understanding p.303
4.4 Build Quadratic Models from Verbal Descriptions and Data Assess Your Understanding p.312
4.5 Inequalities Involving Quadratic Functions Assess Your Understanding p.319
Review Exercises p.321
Chapter Test p.323
Cumulative Review p.324

Chapter 5

Polynomial And Rational Functions

5.1 Polynomial Functions and Models Assess Your Understanding p.341
5.2 The Real Zeros of a Polynomial Function Assess Your Understanding p.357
5.3 Complex Zeros; Fundamental Theorem of Algebra Assess Your Understanding p.363
5.4 Properties of Rational Functions Assess Your Understanding p.372
5.5 The Graph of a Rational Function Assess Your Understanding p.382
5.6 Polynomial and Rational Inequalities Assess Your Understanding p.389
Review Exercises p.392
Chapter Test p.394
Cumulative Review p.395

Chapter 6

Exponential And Logarithmic Functions

6.1 Composite Functions Assess Your Understanding p.404
6.2 One-to-One Functions; Inverse Functions Assess Your Understanding p.415
6.3 Exponential Functions Assess Your Understanding p.430
6.4 Logarithmic Functions Assess Your Understanding p.445
6.5 Properties of Logarithms Assess Your Understanding p.456
6.6 Logarithmic and Exponential Equations Assess Your Understanding p.463
6.7 Financial Models Assess Your Understanding p.472
6.8 Exponential Growth and Decay; Newton’s Law; Logistic Growth and Decay Models Assess Your Understanding p.483
6.9 Building Exponential, Logarithmic, and Logistical Models from Data Assess Your Understanding p.490
Review Exercises p.496
Chapter Test p.499
Cumulative Review p.500

Chapter 7

Trigonometric Functions

7.1 Angles and Their Measure Assess Your Understanding p.512
7.2 Right Triangle Trigonometry Assess Your Understanding p.524
7.3 Computing the Values of Trigonometric Functions of Acute Angles Assess Your Understanding p.534
7.4 Trigonometric Functions of General Angles Assess Your Understanding p.547
7.5 Unit Circle Approach: Properties of the Trigonometric Functions Assess Your Understanding p.558
7.6 Graphs of the Sine and Cosine Functions Assess Your Understanding p.570
7.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions Assess Your Understanding p.580
7.8 Phase Shift; Sinusoidal Curve Fitting Assess Your Understanding p.590
Review Exercises p.596
Chapter Test p.598
Cumulative Review p.599

Chapter 8

Analytic Trigonometry

8.1 The Inverse Sine, Cosine, and Tangent Functions Assess Your Understanding p.612
8.2 The Inverse Trigonometric Functions (Continued) Assess Your Understanding p.619
8.3 Trigonometric Equations Assess Your Understanding p.626
8.4 Trigonometric Identities Assess Your Understanding p.635
8.5 Sum and Difference Formulas Assess Your Understanding p.647
8.6 Double-angle and Half-angle Formulas Assess Your Understanding p.657
8.7 Product-to-Sum and Sum-to-Product Formulas Assess Your Understanding p.662
Review Exercises p.665
Cumulative Review p.667
Chapter Test p.667

Chapter 9

Applications Of Trigonometric Functions

9.1 Applications Involving Right Triangles Assess Your Understanding p.673
9.2 The Law of Sines Assess Your Understanding p.682
9.3 The Law of Cosines Assess Your Understanding p.689
9.4 Area of a Triangle Assess Your Understanding p.695
9.5 Simple Harmonic Motion; Damped Motion; Combining Waves Assess Your Understanding p.704
Review Exercises p.708
Chapter Test p.709
Cumulative Review p.710

Chapter 10

Polar Coordinates; Vectors

10.1 Polar Coordinates Assess Your Understanding p.721
10.2 Polar Equations and Graphs Assess Your Understanding p.736
10.3 The Complex Plane; De Moivre’s Theorem Assess Your Understanding p.745
10.4 Vectors Assess Your Understanding p.757
10.5 The Dot Product Assess Your Understanding p.765
Review Exercises p.768
Chapter Test p.770
Cumulative Review p.771

Chapter 11

Analytic Geometry

11.2 The Parabola Assess Your Understanding p.781
11.3 The Ellipse Assess Your Understanding p.791
11.4 The Hyperbola Assess Your Understanding p.805
11.5 Rotation of Axes; General Form of a Conic Assess Your Understanding p.814
11.6 Polar Equations of Conics Assess Your Understanding p.821
11.7 Plane Curves and Parametric Equations Assess Your Understanding p.832
Review Exercises p.836
Chapter Test p.838
Cumulative Review p.838

Chapter 12

Systems Of Equations And Inequalities

12.1 Systems of Linear Equations: Substitution and Elimination Assess Your Understanding p.851
12.2 Systems of Linear Equations: Matrices Assess Your Understanding p.866
12.3 Systems of Linear Equations: Determinants Assess Your Understanding p.878
12.4 Matrix Algebra Assess Your Understanding p.893
12.5 Partial Function Decomposition Assess Your Understanding p.902
12.6 Systems of Nonlinear Equations Assess Your Understanding p.910
12.7 Systems of Inequalties Assess Your Understanding p.920
12.8 Linear Programming Assess Your Understanding p.927
Review Exercises p.931
Chapter Test p.933
Cumulative Review p.934

Chapter 13

Sequences; Induction; The Binomial Theorem

13.1 Sequences Assess Your Understanding p.946
13.2 Arithmetic Sequences Assess Your Understanding p.954
13.3 Geometric Sequences; Geometric Series Assess Your Understanding p.962
13.4 Mathematical Induction Assess Your Understanding p.968
13.5 The Binomial Theorem Assess Your Understanding p.974
Review Exercises p.976
Chapter Test p.977
Cumulative Review p.978

Chapter 14

Counting And Probability

14.1 Counting Assess Your Understanding p.985
14.2 Permutations and Combinations Assess Your Understanding p.992
14.3 Probability Assess Your Understanding p.1002
Review Exercises p.1006
Chapter Test p.1007
Cumulative Review p.1008

Chapter R

Review

R.1 Real Numbers Assess Your Understanding p.15
R.2 Algebra Essentials Assess Your Understanding p.27
R.3 Geometry Essentials Assess Your Understanding p.36
R.4 Polynomials Exercises p.48
R.5 Factoring Polynomials Assess Your Understanding p.57
R.6 Synthetic Division Exercises p.62
R.7 Rational Expressions Assess Your Understanding p.71
R.8 nth Roots; Rational Exponents Assess Your Understanding p.78

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