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McGraw Hill Glencoe Precalculus, 2010
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McGraw-Hill Education
McGraw Hill Glencoe Precalculus, 2010
Publisher: McGraw Hill Education
ISBN: 9780076602186
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0
Chapter 0
Preparing for Precalculus
0.
Pretest
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0.1
Sets
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0.2
Operations with Complex Numbers
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0.3
Quadratic Functions and Equations
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0.4
nth Roots and Real Exponents
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0.5
Systems of Linear Equations and Inequalities
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0.6
Matrix Operations
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0.7
Probability with Permutations and Combinations
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0.8
Statistics
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0.
Posttest
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1
Chapter 1
Functions from a Calculus Perspective
p. 3-83
1.
Get Ready for the Chapter
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p. 3-83
1.1
Functions
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p. 3-83
1.2
Analyzing Graphs of Functions and Relations
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p. 3-83
1.3
Continuity, End Behavior, and Limits
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p. 3-83
1.4
Extrema and Average Rates of Change
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p. 3-83
1.
Mid-Chapter Quiz
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p. 3-83
1.5
Parent Functions and Transformations
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p. 3-83
1.
Extend: Graphing Technology Lab, Nonlinear Inequalities
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p. 3-83
1.6
Function Operations and Composition of Functions
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p. 3-83
1.7
Inverse Relations and Functions
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p. 3-83
1.
Extend: Graphing Technology Lab Graphing Inverses using Parametric Equations
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p. 3-83
1.
Study Guide and Review
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p. 3-83
1.
Practice Test
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p. 3-83
1.
Connect to AP Calculus: Rate of Change at a Point
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2
Chapter 2
Power, Polynomial and Rational Functions
p. 85-155
2.
Get Ready for the Chapter
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p. 85-155
2.1
Power and Radical Functions
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p. 85-155
2.
Explore: Graphing Technology Lab Behavior of Graphs
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p. 85-155
2.2
Polynomial Functions
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p. 85-155
2.
Extend: Graphing Technology Lab, Hidden Behavior of Graphs
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p. 85-155
2.3
The Remainder and Factor Theorems
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p. 85-155
2.
Mid-Chapter Quiz
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p. 85-155
2.4
Zeros of Polynomial Functions
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p. 85-155
2.5
Rational Functions
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p. 85-155
2.6
Nonlinear Inequalities
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p. 85-155
2.
Study Guide and Review
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p. 85-155
2.
Practice Test
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p. 85-155
2.
Connect to AP Calculus: Area Under a Curve
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3
Chapter 3
Exponential and Logarithmic Functions
p. 157-217
3.
Get Ready for the Chapter
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p. 157-217
3.1
Exponential Functions
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p. 157-217
3.
Extend: Graphing Technology Lab, Financial Literacy: Exponential Functions
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p. 157-217
3.2
Logarithmic Functions
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p. 157-217
3.3
Properties of Logarithms
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p. 157-217
3.
Mid-Chapter Quiz
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p. 157-217
3.4
Exponential and Logarithmic Equations
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p. 157-217
3.
Extend: Graphing Technology Lab, Solving Exponential and Logarithmic Inequalities
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p. 157-217
3.5
Modeling with Nonlinear Regression
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p. 157-217
3.
Study Guide and Review
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p. 157-217
3.
Practice Test
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p. 157-217
3.
Connect to AP Calculus: Approximating Rates of Change
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4
Chapter 4
Trigonometric Functions
p. 219-309
4.
Get Ready for the Chapter
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p. 219-309
4.1
Right Triangle Trigonometry
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p. 219-309
4.2
Degrees and Radians
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p. 219-309
4.3
Trigonometric Functions on the Unit Circle
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p. 219-309
4.
Explore: Graphing Technology Lab, Graphing the Sine Function Parametrically
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p. 219-309
4.4
Graphing Sine and Cosine Functions
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p. 219-309
4.
Extend: Graphing Technology Lab, Sums and Differences of Sinusoids
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p. 219-309
4.
Mid-Chapter Quiz
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p. 219-309
4.5
Graphing Other Trigonometric Functions
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p. 219-309
4.6
Inverse Trigonometric Functions
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p. 219-309
4.7
The Law of Sines and the Law of Cosines
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p. 219-309
4.
Study Guide and Review
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p. 219-309
4.
Practice Test
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p. 219-309
4.
Connect to AP Calculus: Related Rates
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5
Chapter 5
Trigonometric Identities and Equations
p. 311-361
5.
Get Ready for the Chapter
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p. 311-361
5.1
Trigonometric Identities
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p. 311-361
5.2
Verifying Trigonometric Identities
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p. 311-361
5.3
Solving Trigonometric Equations
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p. 311-361
5.
Extend: Graphing Technology Lab, Solving Trigonometric Inequalities
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p. 311-361
5.
Mid-Chapter Quiz
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p. 311-361
5.4
Sum and Difference Identities
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p. 311-361
5.
Extend: Graphing Technology Lab, Reduction Identities
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p. 311-361
5.5
Multiple-Angle and Product-to-Sum Identities
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p. 311-361
5.
Study Guide and Review
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p. 311-361
5.
Practice Test
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p. 311-361
5.
Connect to AP Calculus: Rates of Change for Sine and Cosine
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6
Chapter 6
Systems of Equations and Matrices
p. 363-419
6.
Get Ready for the Chapter
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p. 363-419
6.1
Multivariable Linear Systems and Row Operations
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p. 363-419
6.2
Matrix Multiplication, Inverses, and Determinants
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p. 363-419
6.
Extend: Graphing Technology Lab, Determinants and Areas of Polygons
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p. 363-419
6.3
Solving Linear Systems using Inverses and Cramer's Rule
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p. 363-419
6.4
Extend: Graphing Technology Lab, Matrices and Cryptography
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p. 363-419
6.
Mid-Chapter Quiz
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p. 363-419
6.4
Partial Fractions
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p. 363-419
6.5
Linear Optimization
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p. 363-419
6.
Study Guide and Review
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p. 363-419
6.
Practice Test
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p. 363-419
6.
Connect to AP Calculus: Nonlinear Optimization
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7
Chapter 7
Conic Sections and Parametric Equations
p. 421-479
7.
Get Ready for the Chapter
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p. 421-479
7.1
Parabolas
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p. 421-479
7.2
Ellipses and Circles
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p. 421-479
7.3
Hyperbolas
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p. 421-479
7.
Mid-Chapter Quiz
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p. 421-479
7.4
Rotations of Conic Sections
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p. 421-479
7.
Extend: Graphing Technology Lab, Systems of Nonlinear Equations and Inequalities
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p. 421-479
7.5
Parametric Equations
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p. 421-479
7.
Extend: Graphing Technology Lab, Modeling with Parametric Equations
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p. 421-479
7.
Study Guide and Review
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p. 421-479
7.
Practice Test
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p. 421-479
7.
Connect to AP Calculus: Solids of Revolution
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8
Chapter 8
Vectors
p. 481-531
8.
Get Ready for the Chapter
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p. 481-531
8.1
Introduction to Vectors
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p. 481-531
8.2
Vectors in the Coordinate Plane
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p. 481-531
8.3
Dot Products and Vector Projections
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p. 481-531
8.
Mid-Chapter Quiz
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p. 481-531
8.4
Vectors in Three-Dimensional Space
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p. 481-531
8.
Extend: Graphing Technology Lab, Vector Transformations with Matrices
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p. 481-531
8.5
Dot and Cross Products of Vectors in Space
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p. 481-531
8.
Study Guide and Review
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p. 481-531
8.
Practice Test
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p. 481-531
8.
Connect to AP Calculus: Vector Fields
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9
Chapter 9
Polar Coordinates and Complex Numbers
p. 533-587
9.
Get Ready for the Chapter
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p. 533-587
9.1
Polar Coordinates
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p. 533-587
9.
Explore: Graphing Technology Lab, Investigate Graphs of Polar Equations
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p. 533-587
9.2
Graphs of Polar Equations
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p. 533-587
9.3
Polar and Rectangular Forms of Equations
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p. 533-587
9.
Mid-Chapter Quiz
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p. 533-587
9.4
Polar Forms of Conic Sections
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p. 533-587
9.5
Complex Numbers and DeMoivre's Theorem
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p. 533-587
9.
Study Guide and Review
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p. 533-587
9.
Practice Test
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p. 533-587
9.
Connect to AP Calculus: Arc Length
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10
Chapter 10
Sequences and Series
p. 589-651
10.
Get Ready for the Chapter
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p. 589-651
10.1
Sequences, Series, and Sigma Notation
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p. 589-651
10.2
Arithmetic Sequences and Series
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p. 589-651
10.3
Geometric Sequences and Series
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p. 589-651
10.
Extend: Graphing Technology Lab, Continued Fractions
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p. 589-651
10.
Mid-Chapter Quiz
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p. 589-651
10.4
Mathematical Induction
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p. 589-651
10.5
The Binomial Theorem
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p. 589-651
10.6
Functions as Infinite Series
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p. 589-651
10.
Extend: Spreadsheet Lab, Detecting Patterns in Data
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p. 589-651
10.
Study Guide and Review
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p. 589-651
10.
Practice Test
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p. 589-651
10.
Connect to AP Calculus: Riemann Sum
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11
Chapter 11
Inferential Statistics
p. 653-733
11.
Get Ready for the Chapter
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p. 653-733
11.1
Descriptive Statistics
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p. 653-733
11.2
Probability Distributions
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p. 653-733
11.3
The Normal Distribution
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p. 653-733
11.
Extend: Graphing Technology Lab, Transforming Skewed Data
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p. 653-733
11.4
The Central Limit Theorem
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p. 653-733
11.
Mid-Chapter Quiz
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p. 653-733
11.5
Confidence Intervals
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p. 653-733
11.6
Hypothesis Testing
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p. 653-733
11.7
Correlation and Linear Regression
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p. 653-733
11.
Extend: Graphing Technology Lab, Median-Fit Lines
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p. 653-733
11.
Study Guide and Review
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p. 653-733
11.
Practice Test
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p. 653-733
11.
Connect to AP Calculus: Population Proportions
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12
Chapter 12
Limits and Derivatives
p. 735-799
12.
Get Ready for the Chapter
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p. 735-799
12.1
Estimating Limits Graphically
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p. 735-799
12.2
Evaluating Limits Algebraically
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p. 735-799
12.
Explore: Graphing Technology Lab, The Slope of a Curve
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p. 735-799
12.3
Tangent Lines and Velocity
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p. 735-799
12.
Mid-Chapter Quiz
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p. 735-799
12.4
Derivatives
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p. 735-799
12.5
Area Under a Curve and Integration
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p. 735-799
12.6
The Fundamental Theorem of Calculus
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p. 735-799
12.
Study Guide and Review
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p. 735-799
12.
Practice Test
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p. 735-799
12.
Connect to AP Calculus: The Chain Rule
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Links
expand_more
Preparing for Precalculus
Pretest
Sets
Operations with Complex Numbers
Quadratic Functions and Equations
nth Roots and Real Exponents
Systems of Linear Equations and Inequalities
Matrix Operations
Probability with Permutations and Combinations
Statistics
Posttest
Functions from a Calculus Perspective
Get Ready for the Chapter
Functions
Analyzing Graphs of Functions and Relations
Continuity, End Behavior, and Limits
Extrema and Average Rates of Change
Mid-Chapter Quiz
Parent Functions and Transformations
Extend: Graphing Technology Lab, Nonlinear Inequalities
Function Operations and Composition of Functions
Inverse Relations and Functions
Extend: Graphing Technology Lab Graphing Inverses using Parametric Equations
Study Guide and Review
Practice Test
Connect to AP Calculus: Rate of Change at a Point
Power, Polynomial and Rational Functions
Get Ready for the Chapter
Power and Radical Functions
Explore: Graphing Technology Lab Behavior of Graphs
Polynomial Functions
Extend: Graphing Technology Lab, Hidden Behavior of Graphs
The Remainder and Factor Theorems
Mid-Chapter Quiz
Zeros of Polynomial Functions
Rational Functions
Nonlinear Inequalities
Study Guide and Review
Practice Test
Connect to AP Calculus: Area Under a Curve
Exponential and Logarithmic Functions
Get Ready for the Chapter
Exponential Functions
Extend: Graphing Technology Lab, Financial Literacy: Exponential Functions
Logarithmic Functions
Properties of Logarithms
Mid-Chapter Quiz
Exponential and Logarithmic Equations
Extend: Graphing Technology Lab, Solving Exponential and Logarithmic Inequalities
Modeling with Nonlinear Regression
Study Guide and Review
Practice Test
Connect to AP Calculus: Approximating Rates of Change
Trigonometric Functions
Get Ready for the Chapter
Right Triangle Trigonometry
Degrees and Radians
Trigonometric Functions on the Unit Circle
Explore: Graphing Technology Lab, Graphing the Sine Function Parametrically
Graphing Sine and Cosine Functions
Extend: Graphing Technology Lab, Sums and Differences of Sinusoids
Mid-Chapter Quiz
Graphing Other Trigonometric Functions
Inverse Trigonometric Functions
The Law of Sines and the Law of Cosines
Study Guide and Review
Practice Test
Connect to AP Calculus: Related Rates
Trigonometric Identities and Equations
Get Ready for the Chapter
Trigonometric Identities
Verifying Trigonometric Identities
Solving Trigonometric Equations
Extend: Graphing Technology Lab, Solving Trigonometric Inequalities
Mid-Chapter Quiz
Sum and Difference Identities
Extend: Graphing Technology Lab, Reduction Identities
Multiple-Angle and Product-to-Sum Identities
Study Guide and Review
Practice Test
Connect to AP Calculus: Rates of Change for Sine and Cosine
Systems of Equations and Matrices
Get Ready for the Chapter
Multivariable Linear Systems and Row Operations
Matrix Multiplication, Inverses, and Determinants
Extend: Graphing Technology Lab, Determinants and Areas of Polygons
Solving Linear Systems using Inverses and Cramer's Rule
Extend: Graphing Technology Lab, Matrices and Cryptography
Mid-Chapter Quiz
Partial Fractions
Linear Optimization
Study Guide and Review
Practice Test
Connect to AP Calculus: Nonlinear Optimization
Conic Sections and Parametric Equations
Get Ready for the Chapter
Parabolas
Ellipses and Circles
Hyperbolas
Mid-Chapter Quiz
Rotations of Conic Sections
Extend: Graphing Technology Lab, Systems of Nonlinear Equations and Inequalities
Parametric Equations
Extend: Graphing Technology Lab, Modeling with Parametric Equations
Study Guide and Review
Practice Test
Connect to AP Calculus: Solids of Revolution
Vectors
Get Ready for the Chapter
Introduction to Vectors
Vectors in the Coordinate Plane
Dot Products and Vector Projections
Mid-Chapter Quiz
Vectors in Three-Dimensional Space
Extend: Graphing Technology Lab, Vector Transformations with Matrices
Dot and Cross Products of Vectors in Space
Study Guide and Review
Practice Test
Connect to AP Calculus: Vector Fields
Polar Coordinates and Complex Numbers
Get Ready for the Chapter
Polar Coordinates
Explore: Graphing Technology Lab, Investigate Graphs of Polar Equations
Graphs of Polar Equations
Polar and Rectangular Forms of Equations
Mid-Chapter Quiz
Polar Forms of Conic Sections
Complex Numbers and DeMoivre's Theorem
Study Guide and Review
Practice Test
Connect to AP Calculus: Arc Length
Sequences and Series
Get Ready for the Chapter
Sequences, Series, and Sigma Notation
Arithmetic Sequences and Series
Geometric Sequences and Series
Extend: Graphing Technology Lab, Continued Fractions
Mid-Chapter Quiz
Mathematical Induction
The Binomial Theorem
Functions as Infinite Series
Extend: Spreadsheet Lab, Detecting Patterns in Data
Study Guide and Review
Practice Test
Connect to AP Calculus: Riemann Sum
Inferential Statistics
Get Ready for the Chapter
Descriptive Statistics
Probability Distributions
The Normal Distribution
Extend: Graphing Technology Lab, Transforming Skewed Data
The Central Limit Theorem
Mid-Chapter Quiz
Confidence Intervals
Hypothesis Testing
Correlation and Linear Regression
Extend: Graphing Technology Lab, Median-Fit Lines
Study Guide and Review
Practice Test
Connect to AP Calculus: Population Proportions
Limits and Derivatives
Get Ready for the Chapter
Estimating Limits Graphically
Evaluating Limits Algebraically
Explore: Graphing Technology Lab, The Slope of a Curve
Tangent Lines and Velocity
Mid-Chapter Quiz
Derivatives
Area Under a Curve and Integration
The Fundamental Theorem of Calculus
Study Guide and Review
Practice Test
Connect to AP Calculus: The Chain Rule
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