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Precalculus - Mathematics for Calculus - 7th Edition (2015)

Precalculus - Mathematics for Calculus - 7th Edition

  • Page 2 and 3: exponents and radicals geometric fo
  • Page 4 and 5: Complex Numbers polar coordinates F
  • Page 6 and 7: about the authors James Stewart rec
  • Page 8 and 9: This is an electronic version of th
  • Page 10 and 11: contents Preface x To the Student x
  • Page 12 and 13: Contents vii chapter 6 Trigonometri
  • Page 14 and 15: Contents ix chapter 12 Sequences an
  • Page 16 and 17: Preface xi ■ CHAPTER 4 Exponentia
  • Page 18 and 19: Preface xiii ■ Focus on Modeling
  • Page 20 and 21: Preface xv We thank Martha Emry, ou
  • Page 22 and 23: TO THE STUDENT This textbook was wr
  • Page 24 and 25: prologue principles of problem solv
  • Page 26 and 27: Prologue P3 Try a special case. ▶
  • Page 28 and 29: 1 Fundamentals Blend Images/Alamy 1
  • Page 30 and 31: SECTION 1.1 ■ Real Numbers 3 A re
  • Page 32 and 33: SECTION 1.1 ■ Real Numbers 5 ■
  • Page 34 and 35: SECTION 1.1 ■ Real Numbers 7 If S
  • Page 36 and 37: SECTION 1.1 ■ Real Numbers 9 When
  • Page 38 and 39: SECTION 1.1 ■ Real Numbers 11 40.
  • Page 40 and 41: SECTION 1.2 ■ Exponents and Radic
  • Page 42 and 43: SECTION 1.2 ■ Exponents and Radic
  • Page 44 and 45: SECTION 1.2 ■ Exponents and Radic
  • Page 46 and 47: SECTION 1.2 ■ Exponents and Radic
  • Page 48 and 49: SECTION 1.2 ■ Exponents and Radic
  • Page 50 and 51: SECTION 1.2 ■ Exponents and Radic
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    SECTION 1.3 ■ Algebraic Expressio

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    SECTION 1.3 ■ Algebraic Expressio

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    SECTION 1.3 ■ Algebraic Expressio

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    SECTION 1.3 ■ Algebraic Expressio

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    SECTION 1.3 ■ Algebraic Expressio

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    SECTION 1.3 ■ Algebraic Expressio

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    SECTION 1.4 ■ Rational Expression

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    SECTION 1.4 ■ Rational Expression

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    SECTION 1.4 ■ Rational Expression

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    SECTION 1.4 ■ Rational Expression

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    SECTION 1.5 ■ Equations 45 101. D

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    SECTION 1.5 ■ Equations 47 Becaus

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    SECTION 1.5 ■ Equations 49 Exampl

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    SECTION 1.5 ■ Equations 51 Exampl

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    SECTION 1.5 ■ Equations 53 10,000

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    SECTION 1.5 ■ Equations 55 Exampl

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    SECTION 1.5 ■ Equations 57 123-12

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    SECTION 1.6 ■ Complex Numbers 59

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    SECTION 1.6 ■ Complex Numbers 61

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    SECTION 1.6 ■ Complex Numbers 63

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    SECTION 1.7 ■ Modeling with Equat

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    SECTION 1.7 ■ Modeling with Equat

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    SECTION 1.7 ■ Modeling with Equat

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    SECTION 1.7 ■ Modeling with Equat

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    SECTION 1.7 ■ Modeling with Equat

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    SECTION 1.7 ■ Modeling with Equat

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    SECTION 1.7 ■ Modeling with Equat

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    SECTION 1.7 ■ Modeling with Equat

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    SECTION 1.8 ■ Inequalities 81 ste

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    SECTION 1.8 ■ Inequalities 83 0 2

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    SECTION 1.8 ■ Inequalities 85 0 2

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    SECTION 1.8 ■ Inequalities 87 0 F

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    SECTION 1.8 ■ Inequalities 89 63.

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    ` SECTION 1.8 ■ Inequalities 91 1

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    SECTION 1.9 ■ The Coordinate Plan

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    SECTION 1.9 ■ The Coordinate Plan

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    SECTION 1.9 ■ The Coordinate Plan

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    SECTION 1.9 ■ The Coordinate Plan

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    SECTION 1.9 ■ The Coordinate Plan

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    SECTION 1.9 ■ The Coordinate Plan

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    SECTION 1.9 ■ The Coordinate Plan

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    SECTION 1.10 ■ Lines 107 Slope of

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    SECTION 1.10 ■ Lines 109 Example

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    SECTION 1.10 ■ Lines 111 Example

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    SECTION 1.10 ■ Lines 113 y 17 Q S

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    SECTION 1.10 ■ Lines 115 30. Thro

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    SECTION 1.11 ■ Solving Equations

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    SECTION 1.11 ■ Solving Equations

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    SECTION 1.11 ■ Solving Equations

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    SECTION 1.12 ■ Modeling Variation

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    SECTION 1.12 ■ Modeling Variation

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    SECTION 1.12 ■ Modeling Variation

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    SECTION 1.12 ■ Modeling Variation

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    CHAPTER 1 ■ Review 131 Properties

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    CHAPTER 1 ■ Review 133 18. What a

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    CHAPTER 1 ■ Review 135 82. Distan

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    CHAPTER 1 TEST 1. (a) Graph the int

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    FOCUS ON MODELING Fitting Lines to

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    Fitting Lines to Data 141 (c) The y

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    Fitting Lines to Data 143 SOLUTION

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    Fitting Lines to Data 145 4. Carbon

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     ■ 147 2 Functions © iStockph

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    SECTION 2.1 ■ Functions 149 T is

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    SECTION 2.1 ■ Functions 151 Examp

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    SECTION 2.1 ■ Functions 153 The t

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    SECTION 2.1 ■ Functions 155 Examp

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    SECTION 2.1 ■ Functions 157 35-38

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    SECTION 2.2 ■ Graphs of Functions

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    SECTION 2.2 ■ Graphs of Functions

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    SECTION 2.2 ■ Graphs of Functions

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    SECTION 2.2 ■ Graphs of Functions

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    SECTION 2.2 ■ Graphs of Functions

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    SECTION 2.2 ■ Graphs of Functions

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    SECTION 2.3 ■ Getting Information

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    SECTION 2.3 ■ Getting Information

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    SECTION 2.3 ■ Getting Information

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    SECTION 2.3 ■ Getting Information

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    SECTION 2.3 ■ Getting Information

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    SECTION 2.3 ■ Getting Information

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    SECTION 2.4 ■ Average Rate of Cha

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    SECTION 2.4 ■ Average Rate of Cha

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    SECTION 2.4 ■ Average Rate of Cha

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    SECTION 2.4 ■ Average Rate of Cha

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    SECTION 2.5 ■ Linear Functions an

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    SECTION 2.5 ■ Linear Functions an

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    SECTION 2.5 ■ Linear Functions an

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    SECTION 2.5 ■ Linear Functions an

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    SECTION 2.6 ■ Transformations of

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    SECTION 2.6 ■ Transformations of

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    SECTION 2.6 ■ Transformations of

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    SECTION 2.6 ■ Transformations of

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    SECTION 2.6 ■ Transformations of

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    SECTION 2.6 ■ Transformations of

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    SECTION 2.7 ■ Combining Functions

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    SECTION 2.7 ■ Combining Functions

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    SECTION 2.7 ■ Combining Functions

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    SECTION 2.7 ■ Combining Functions

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    SECTION 2.8 ■ One-to-One Function

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    SECTION 2.8 ■ One-to-One Function

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    SECTION 2.8 ■ One-to-One Function

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    SECTION 2.8 ■ One-to-One Function

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    SECTION 2.8 ■ One-to-One Function

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    CHAPTER 2 ■ Review 229 105. DISCU

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    CHAPTER 2 ■ Review 231 15. (a) Wh

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    CHAPTER 2 ■ Review 233 61-66 ■

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    CHAPTER 2 TEST 1. Which of the foll

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    FOCUS ON MODELING Modeling with Fun

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    Modeling with Functions 239 Example

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    Modeling with Functions 241 Pythago

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    Modeling with Functions 243 24. Max

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    3 Polynomial and Rational Functions

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    SECTION 3.1 ■ Quadratic Functions

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    SECTION 3.1 ■ Quadratic Functions

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    SECTION 3.1 ■ Quadratic Functions

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    SECTION 3.1 ■ Quadratic Functions

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    SECTION 3.2 ■ Polynomial Function

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    SECTION 3.2 ■ Polynomial Function

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    SECTION 3.2 ■ Polynomial Function

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    SECTION 3.2 ■ Polynomial Function

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    SECTION 3.2 ■ Polynomial Function

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    SECTION 3.2 ■ Polynomial Function

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    SECTION 3.2 ■ Polynomial Function

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    SECTION 3.3 ■ Dividing Polynomial

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    SECTION 3.3 ■ Dividing Polynomial

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    SECTION 3.3 ■ Dividing Polynomial

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    SECTION 3.4 ■ Real Zeros of Polyn

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    SECTION 3.4 ■ Real Zeros of Polyn

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    SECTION 3.4 ■ Real Zeros of Polyn

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    SECTION 3.4 ■ Real Zeros of Polyn

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    SECTION 3.4 ■ Real Zeros of Polyn

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    SECTION 3.4 ■ Real Zeros of Polyn

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    SECTION 3.5 ■ Complex Zeros and t

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    SECTION 3.5 ■ Complex Zeros and t

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    SECTION 3.5 ■ Complex Zeros and t

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    SECTION 3.5 ■ Complex Zeros and t

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    SECTION 3.6 ■ Rational Functions

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    SECTION 3.6 ■ Rational Functions

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    SECTION 3.6 ■ Rational Functions

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    SECTION 3.6 ■ Rational Functions

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    SECTION 3.6 ■ Rational Functions

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    SECTION 3.6 ■ Rational Functions

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    SECTION 3.6 ■ Rational Functions

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    SECTION 3.6 ■ Rational Functions

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    SECTION 3.7 ■ Polynomial and Rati

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    SECTION 3.7 ■ Polynomial and Rati

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    SECTION 3.7 ■ Polynomial and Rati

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    CHAPTER 3 ■ Review 317 45-50 ■

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    CHAPTER 3 ■ Review 319 If the deg

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    CHAPTER 3 ■ Review 321 37. What i

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    CHAPTER 3 TEST x h(x) r 1x2 2x 1

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    FOCUS ON MODELING Fitting Polynomia

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    Fitting Polynomial Curves to Data 3

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    4 Exponential and Logarithmic Funct

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    SECTION 4.1 ■ Exponential Functio

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    SECTION 4.1 ■ Exponential Functio

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    SECTION 4.1 ■ Exponential Functio

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    SECTION 4.1 ■ Exponential Functio

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    SECTION 4.2 ■ The Natural Exponen

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    SECTION 4.2 ■ The Natural Exponen

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    SECTION 4.2 ■ The Natural Exponen

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    SECTION 4.3 ■ Logarithmic Functio

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    SECTION 4.3 ■ Logarithmic Functio

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    SECTION 4.3 ■ Logarithmic Functio

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    SECTION 4.3 ■ Logarithmic Functio

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    SECTION 4.3 ■ Logarithmic Functio

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    SECTION 4.4 ■ Laws of Logarithms

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    SECTION 4.4 ■ Laws of Logarithms

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    SECTION 4.4 ■ Laws of Logarithms

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    SECTION 4.5 ■ Exponential and Log

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    SECTION 4.5 ■ Exponential and Log

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    SECTION 4.5 ■ Exponential and Log

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    SECTION 4.5 ■ Exponential and Log

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    SECTION 4.5 ■ Exponential and Log

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    SECTION 4.6 ■ Modeling with Expon

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    SECTION 4.6 ■ Modeling with Expon

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    SECTION 4.6 ■ Modeling with Expon

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    SECTION 4.6 ■ Modeling with Expon

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    SECTION 4.6 ■ Modeling with Expon

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    SECTION 4.7 ■ Logarithmic Scales

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    SECTION 4.7 ■ Logarithmic Scales

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    SECTION 4.7 ■ Logarithmic Scales

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    CHAPTER 4 ■ Review 387 Logarithmi

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    CHAPTER 4 ■ Review 389 11. f1x2

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    CHAPTER 4 TEST 1. Sketch the graph

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    Fitting Exponential and Power Curve

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    Fitting Exponential and Power Curve

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    Fitting Exponential and Power Curve

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    Fitting Exponential and Power Curve

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    5 Trigonometric Functions: Unit Cir

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    SECTION 5.1 ■ The Unit Circle 403

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    SECTION 5.1 ■ The Unit Circle 405

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    SECTION 5.1 ■ The Unit Circle 407

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    SECTION 5.2 ■ Trigonometric Funct

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    SECTION 5.2 ■ Trigonometric Funct

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    SECTION 5.2 ■ Trigonometric Funct

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    SECTION 5.2 ■ Trigonometric Funct

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    SECTION 5.2 ■ Trigonometric Funct

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    SECTION 5.3 ■ Trigonometric Graph

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    SECTION 5.3 ■ Trigonometric Graph

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    SECTION 5.3 ■ Trigonometric Graph

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    SECTION 5.3 ■ Trigonometric Graph

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    SECTION 5.3 ■ Trigonometric Graph

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    SECTION 5.3 ■ Trigonometric Graph

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    SECTION 5.3 ■ Trigonometric Graph

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    SECTION 5.4 ■ More Trigonometric

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    SECTION 5.4 ■ More Trigonometric

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    SECTION 5.4 ■ More Trigonometric

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    SECTION 5.5 ■ Inverse Trigonometr

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    SECTION 5.5 ■ Inverse Trigonometr

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    SECTION 5.5 ■ Inverse Trigonometr

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    SECTION 5.6 ■ Modeling Harmonic M

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    SECTION 5.6 ■ Modeling Harmonic M

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    SECTION 5.6 ■ Modeling Harmonic M

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    SECTION 5.6 ■ Modeling Harmonic M

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    SECTION 5.6 ■ Modeling Harmonic M

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    SECTION 5.6 ■ Modeling Harmonic M

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    SECTION 5.6 ■ Modeling Harmonic M

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    SECTION 5.6 ■ Modeling Harmonic M

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    CHAPTER 5 ■ Review 461 Basic Trig

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    CHAPTER 5 ■ Review 463 12. Suppos

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    CHAPTER 5 TEST y 1. The point P1x,

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    Fitting Sinusoidal Curves to Data 4

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    Fitting Sinusoidal Curves to Data 4

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    6 Trigonometric Functions: Right Tr

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    SECTION 6.1 ■ Angle Measure 473 R

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    SECTION 6.1 ■ Angle Measure 475 w

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    SECTION 6.1 ■ Angle Measure 477 L

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    SECTION 6.1 ■ Angle Measure 479 5

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    SECTION 6.1 ■ Angle Measure 481 8

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    SECTION 6.2 ■ Trigonometry of Rig

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    SECTION 6.2 ■ Trigonometry of Rig

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    SECTION 6.2 ■ Trigonometry of Rig

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    SECTION 6.2 ■ Trigonometry of Rig

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    SECTION 6.3 ■ Trigonometric Funct

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    SECTION 6.3 ■ Trigonometric Funct

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    SECTION 6.3 ■ Trigonometric Funct

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    SECTION 6.3 ■ Trigonometric Funct

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    SECTION 6.3 ■ Trigonometric Funct

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    SECTION 6.4 ■ Inverse Trigonometr

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    SECTION 6.4 ■ Inverse Trigonometr

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    SECTION 6.4 ■ Inverse Trigonometr

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    SECTION 6.4 ■ Inverse Trigonometr

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    SECTION 6.5 ■ The Law of Sines 50

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    SECTION 6.5 ■ The Law of Sines 51

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    SECTION 6.5 ■ The Law of Sines 51

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    SECTION 6.5 ■ The Law of Sines 51

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    SECTION 6.6 ■ The Law of Cosines

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    SECTION 6.6 ■ The Law of Cosines

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    SECTION 6.6 ■ The Law of Cosines

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    SECTION 6.6 ■ The Law of Cosines

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    CHAPTER 6 ■ Review 525 Trigonomet

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    CHAPTER 6 ■ Review 527 12. (a) St

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    CHAPTER 6 ■ Review 529 33-44 ■

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    CHAPTER 6 TEST 1. Find the radian m

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    FOCUS ON MODELING Surveying How can

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    Surveying 535 4. Height of a Cliff

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    7 Analytic Trigonometry © Jule_Ber

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    SECTION 7.1 ■ Trigonometric Ident

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    SECTION 7.1 ■ Trigonometric Ident

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    SECTION 7.1 ■ Trigonometric Ident

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    SECTION 7.2 ■ Addition and Subtra

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    SECTION 7.2 ■ Addition and Subtra

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    SECTION 7.2 ■ Addition and Subtra

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    SECTION 7.2 ■ Addition and Subtra

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    SECTION 7.3 ■ Double-Angle, Half-

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    SECTION 7.3 ■ Double-Angle, Half-

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    SECTION 7.3 ■ Double-Angle, Half-

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    SECTION 7.3 ■ Double-Angle, Half-

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    SECTION 7.3 ■ Double-Angle, Half-

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    SECTION 7.3 ■ Double-Angle, Half-

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    SECTION 7.4 ■ Basic Trigonometric

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    SECTION 7.4 ■ Basic Trigonometric

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    SECTION 7.4 ■ Basic Trigonometric

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    SECTION 7.5 ■ More Trigonometric

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    SECTION 7.5 ■ More Trigonometric

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    SECTION 7.5 ■ More Trigonometric

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    CHAPTER 7 ■ Review 577 Double-Ang

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    CHAPTER 7 ■ Review 579 47. Range

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    FOCUS ON MODELING Traveling and Sta

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    y1x, t2 3 sin p 5 x cos 3t ■ Tr

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    Traveling and Standing Waves 585 6.

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    8 Polar Coordinates and Parametric

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    SECTION 8.1 ■ Polar Coordinates 5

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    SECTION 8.1 ■ Polar Coordinates 5

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    SECTION 8.1 ■ Polar Coordinates 5

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    SECTION 8.2 ■ Graphs of Polar Equ

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    SECTION 8.2 ■ Graphs of Polar Equ

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    SECTION 8.2 ■ Graphs of Polar Equ

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    SECTION 8.2 ■ Graphs of Polar Equ

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    SECTION 8.3 ■ Polar Form of Compl

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    SECTION 8.3 ■ Polar Form of Compl

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    SECTION 8.3 ■ Polar Form of Compl

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    SECTION 8.3 ■ Polar Form of Compl

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    SECTION 8.4 ■ Plane Curves and Pa

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    SECTION 8.4 ■ Plane Curves and Pa

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    SECTION 8.4 ■ Plane Curves and Pa

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    SECTION 8.4 ■ Plane Curves and Pa

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    SECTION 8.4 ■ Plane Curves and Pa

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    CHAPTER 8 ■ Review 621 ■ To cha

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    CHAPTER 8 ■ Review 623 39-42 ■

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    FOCUS ON MODELING The Path of a Pro

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    The Path of a Projectile 627 Now we

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    9 Vectors in Two and Three Dimensio

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    SECTION 9.1 ■ Vectors in Two Dime

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    SECTION 9.1 ■ Vectors in Two Dime

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    SECTION 9.1 ■ Vectors in Two Dime

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    SECTION 9.1 ■ Vectors in Two Dime

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    SECTION 9.2 ■ The Dot Product 639

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    SECTION 9.2 ■ The Dot Product 641

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    SECTION 9.2 ■ The Dot Product 643

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    SECTION 9.2 ■ The Dot Product 645

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    SECTION 9.3 ■ Three-Dimensional C

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    SECTION 9.3 ■ Three-Dimensional C

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    SECTION 9.3 ■ Three-Dimensional C

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    SECTION 9.4 ■ Vectors in Three Di

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    SECTION 9.4 ■ Vectors in Three Di

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    SECTION 9.4 ■ Vectors in Three Di

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    SECTION 9.5 ■ The Cross Product 6

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    SECTION 9.5 ■ The Cross Product 6

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    SECTION 9.5 ■ The Cross Product 6

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    SECTION 9.5 ■ The Cross Product 6

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    SECTION 9.6 ■ Equations of Lines

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    SECTION 9.6 ■ Equations of Lines

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    CHAPTER 9 ■ Review 671 The Dot Pr

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    CHAPTER 9 ■ Review 673 ■ exerci

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    CHAPTER 9 TEST 1. Let u be the vect

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    Vector Fields 677 _5 5 5 Graphing v

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    10 Systems of Equations and Inequal

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    SECTION 10.1 ■ Systems of Linear

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    SECTION 10.1 ■ Systems of Linear

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    SECTION 10.1 ■ Systems of Linear

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    SECTION 10.1 ■ Systems of Linear

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    SECTION 10.1 ■ Systems of Linear

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    SECTION 10.2 ■ Systems of Linear

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    SECTION 10.2 ■ Systems of Linear

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    SECTION 10.2 ■ Systems of Linear

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    SECTION 10.2 ■ Systems of Linear

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    SECTION 10.3 ■ Matrices and Syste

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    SECTION 10.3 ■ Matrices and Syste

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    SECTION 10.3 ■ Matrices and Syste

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    SECTION 10.3 ■ Matrices and Syste

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    SECTION 10.3 ■ Matrices and Syste

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    SECTION 10.3 ■ Matrices and Syste

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    SECTION 10.3 ■ Matrices and Syste

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    SECTION 10.4 ■ The Algebra of Mat

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    SECTION 10.4 ■ The Algebra of Mat

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    SECTION 10.4 ■ The Algebra of Mat

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    SECTION 10.4 ■ The Algebra of Mat

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    SECTION 10.4 ■ The Algebra of Mat

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    SECTION 10.4 ■ The Algebra of Mat

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    SECTION 10.5 ■ Inverses of Matric

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    SECTION 10.5 ■ Inverses of Matric

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    SECTION 10.5 ■ Inverses of Matric

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    SECTION 10.5 ■ Inverses of Matric

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    SECTION 10.5 ■ Inverses of Matric

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    SECTION 10.6 ■ Determinants and C

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    SECTION 10.6 ■ Determinants and C

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    SECTION 10.6 ■ Determinants and C

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    SECTION 10.6 ■ Determinants and C

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    SECTION 10.6 ■ Determinants and C

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    SECTION 10.7 ■ Partial Fractions

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    SECTION 10.7 ■ Partial Fractions

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    SECTION 10.7 ■ Partial Fractions

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    SECTION 10.8 ■ Systems of Nonline

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    SECTION 10.8 ■ Systems of Nonline

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    SECTION 10.8 ■ Systems of Nonline

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    SECTION 10.9 ■ Systems of Inequal

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    SECTION 10.9 ■ Systems of Inequal

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    SECTION 10.9 ■ Systems of Inequal

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    SECTION 10.9 ■ Systems of Inequal

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    SECTION 10.9 ■ Systems of Inequal

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    CHAPTER 10 ■ Review 767 2. The le

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    CHAPTER 10 ■ Review 769 ■ CONCE

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    CHAPTER 10 ■ Review 771 44. Numbe

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    CHAPTER 10 TEST 1-2 ■ A system of

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    FOCUS ON MODELING Linear Programmin

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    Linear Programming 777 Guidelines f

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    Linear Programming 779 Problems 1-4

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    11 Conic Sections Harald Sund/The I

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    SECTION 11.1 ■ Parabolas 783 By t

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    SECTION 11.1 ■ Parabolas 785 Exam

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    SECTION 11.1 ■ Parabolas 787 ■

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    SECTION 11.1 ■ Parabolas 789 25-3

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    SECTION 11.2 ■ Ellipses 791 The g

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    SECTION 11.2 ■ Ellipses 793 Examp

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    SECTION 11.2 ■ Ellipses 795 DeFIn

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    SECTION 11.2 ■ Ellipses 797 7. 4x

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    SECTION 11.3 ■ Hyperbolas 799 69.

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    SECTION 11.3 ■ Hyperbolas 801 Asy

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    SECTION 11.3 ■ Hyperbolas 803 SOL

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    SECTION 11.3 ■ Hyperbolas 805 11.

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    SECTION 11.4 ■ Shifted Conics 807

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    SECTION 11.4 ■ Shifted Conics 809

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    SECTION 11.4 ■ Shifted Conics 811

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    SECTION 11.4 ■ Shifted Conics 813

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    SECTION 11.4 ■ Shifted Conics 815

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    SECTION 11.5 ■ Rotation of Axes 8

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    SECTION 11.5 ■ Rotation of Axes 8

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    SECTION 11.5 ■ Rotation of Axes 8

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    SECTION 11.5 ■ Rotation of Axes 8

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    SECTION 11.6 ■ Polar Equations of

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    SECTION 11.6 ■ Polar Equations of

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    SECTION 11.6 ■ Polar Equations of

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    CHAPTER 11 ■ Review 831 DiSCUSS

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    CHAPTER 11 ■ Review 833 6. (a) Su

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    CHAPTER 11 TEST 1. Find the focus a

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    Conics in Architecture 837 C P Circ

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    Conics in Architecture 839 Kobe Tow

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    12 Sequences and Series © Mircea B

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    SECTION 12.1 ■ Sequences and Summ

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    SECTION 12.1 ■ Sequences and Summ

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    SECTION 12.1 ■ Sequences and Summ

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    SECTION 12.1 ■ Sequences and Summ

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    SECTION 12.1 ■ Sequences and Summ

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    SECTION 12.2 ■ Arithmetic Sequenc

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    SECTION 12.2 ■ Arithmetic Sequenc

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    SECTION 12.2 ■ Arithmetic Sequenc

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    SECTION 12.3 ■ Geometric Sequence

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    SECTION 12.3 ■ Geometric Sequence

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    SECTION 12.3 ■ Geometric Sequence

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    SECTION 12.3 ■ Geometric Sequence

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    SECTION 12.4 ■ Mathematics of Fin

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    SECTION 12.4 ■ Mathematics of Fin

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    SECTION 12.4 ■ Mathematics of Fin

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    SECTION 12.5 ■ Mathematical Induc

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    SECTION 12.5 ■ Mathematical Induc

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    SECTION 12.5 ■ Mathematical Induc

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    SECTION 12.6 ■ The Binomial Theor

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    SECTION 12.6 ■ The Binomial Theor

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    SECTION 12.6 ■ The Binomial Theor

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    SECTION 12.6 ■ The Binomial Theor

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    CHAPTER 12 ■ Review 887 45. 8a 3

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    CHAPTER 12 ■ Review 889 ■ CONCE

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    CHAPTER 12 ■ Review 891 55-60 ■

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    FOCUS ON MODELING Modeling with Rec

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    Modeling with Recursive Sequences 8

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    13 PF-(space1)/Alamy Limits: A Prev

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    SECTION 13.1 ■ Finding Limits Num

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    SECTION 13.1 ■ Finding Limits Num

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    SECTION 13.1 ■ Finding Limits Num

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    SECTION 13.1 ■ Finding Limits Num

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    SECTION 13.2 ■ Finding Limits Alg

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    SECTION 13.2 ■ Finding Limits Alg

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    SECTION 13.2 ■ Finding Limits Alg

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    SECTION 13.2 ■ Finding Limits Alg

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    SECTION 13.3 ■ Tangent Lines and

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    SECTION 13.3 ■ Tangent Lines and

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    SECTION 13.3 ■ Tangent Lines and

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    SECTION 13.3 ■ Tangent Lines and

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    SECTION 13.3 ■ Tangent Lines and

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    SECTION 13.4 ■ Limits at Infinity

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    SECTION 13.4 ■ Limits at Infinity

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    SECTION 13.4 ■ Limits at Infinity

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    SECTION 13.5 ■ Areas 931 Applicat

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    SECTION 13.5 ■ Areas 933 y (1, 1)

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    SECTION 13.5 ■ Areas 935 y y y n=

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    SECTION 13.5 ■ Areas 937 y 25 5 0

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    SECTION 13.5 ■ Areas 939 5-8 ■

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    CHAPTER 13 ■ Review 941 ■ CONCE

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    CHAPTER 13 TEST 1. (a) Use a table

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    Interpretations of Area 945 It seem

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    Interpretations of Area 947 (b) Wha

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    APPENDIX A Geometry Review In this

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    APPENDIX A ■ Geometry Review 951

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    APPENDIX A ■ Geometry Review 953

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    ANSWERS to Selected Exercises and C

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    Answers to Section 1.8 A3 51. 1 53.

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    Answers to Section 1.9 A5 55. y 57.

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    Answers to Chapter 1 Review A7 2 69

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    Answers to Chapter 1 Test A9 127. (

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    Answers to Section 2.2 A11 43. 5 2

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    Answers to Section 2.3 A13 69. (a)

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    Answers to Section 2.6 A15 23. (a)

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    Answers to Section 2.7 A17 83. Even

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    Answers to Chapter 2 Review A19 85.

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    Answers to Section 3.1 A21 9. (a) S

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    Answers to Section 3.2 A23 (c) y (d

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    Answers to Section 3.6 A25 67. 2x 4

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    Answers to Section 3.6 A27 59. y 6

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    Answers to Chapter 3 Review A29 19.

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    Answers to Section 4.1 A31 Focus on

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    Answers to Section 4.3 A33 25. (a)

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    Answers to Chapter 4 Review A35 3.

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    Answers to Section 5.3 A37 Section

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    Answers to Section 5.4 A39 85. (a)

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    Answers to Chapter 5 Review A41 13.

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    Answers to Chapter 5 Focus on Model

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    Answers to Chapter 6 Review A45 51.

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    Answers to Section 7.2 A47 73. LHS

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    Answers to Section 7.5 A49 1sin x

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    Answers to Section 8.2 A51 4. LHS

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    Answers to Section 8.3 A53 4. n; fo

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    Answers to Chapter 8 Review A55 15.

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    Answers to Chapter 8 Test A57 29. (

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    Answers to Section 10.3 A61 9. 11.

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    Answers to Section 10.8 A63 7 1 2

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    Answers to Section 10.9 A65 39. 41.

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    Answers to Section 11.1 A67 Chapter

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    Answers to Section 11.3 A69 25. (a)

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    Answers to Section 11.4 A71 9. (a)

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    Answers to Chapter 11 Review A73 2.

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    Answers to Chapter 11 Test A75 51.

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    Answers to Section 12.5 A77 9. (a)

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    Answers to Chapter 12 Review A79 25

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    Answers to Section 13.3 A81 Focus o

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    Answers to Appendix A A83 9. x 125

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    INDEX Abel, Niels Henrik, 286 Absol

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    Index I3 Cotangent function, 409 co

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    Index I5 methods for representing,

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    Index I7 Linear programming, 775-78

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    Index I9 graphs of, 255-265 guideli

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    Index I11 Stefan Boltzmann Law, 182

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    chapter 1 Review: Concept Check Ans

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    ✃ Cut here and keep for reference

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    chapter 2 Review: Concept Check Ans

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    chapter 3 Review: Concept Check Ans

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    chapter 6 Review: Concept Check Ans

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    sequences and series Arithmetic a,

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    fundamental identities formulaS FOR

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