Algebra and Trigonometry 4th Edition Stewart SOLUTIONS MANUAL
Full download:
http://testbanklive.com/download/algebra-and-trigonometry-4th-edition-stewart-solutions-manual/
CONTENTS
¥ PROLOGUE: PrinciplesofProblemSolving 1
CHAPTER P PREREQUISITES 3
P.1 ModelingtheReal Worldwith Algebra 3
P.2 Real Numbers 4
P.3 Integer Exponents and Scientific Notation 9
P.4 RationalExponentsandRadicals 14
P.5 AlgebraicExpressions 18
P.6 Factoring 22
P.7 RationalExpressions 27
P.8 SolvingBasicEquations 34
P.9 ModelingwithEquations 39
Chapter PReview 45
ChapterPTest 51
¥ FOCUSONMODELING:MakingtheBestDecisions 54
CHAPTER 1 EQUATIONS AND GRAPHS 57
1.1 TheCoordinatePlane 57
1.2 Graphs of Equations in Two Variables; Circles 65
1.3 Lines 79
1.4 SolvingQuadraticEquations 90
1.5 ComplexNumbers 98
1.6 SolvingOtherTypesofEquations 101
1.7 Solving Inequalities 110
1.8 Solving Absolute Value Equations and Inequalities 129
1.9 Solving Equations and Inequalities Graphically 131
1.10 Modeling Variation 139
Chapter 1 Review 143
Chapter1Test 161
iii
,iv Contents
¥ FOCUS ON MODELING: Fitting Linesto Data 165
CHAPTER 2 FUNCTIONS 169
2.1 Functions 169
2.2 GraphsofFunctions 178
2.3 GettingInformationfromtheGraphofaFunction 190
2.4 AverageRateof ChangeofaFunction 201
2.5 LinearFunctionsandModels 206
2.6 TransformationsofFunctions 212
2.7 CombiningFunctions 226
2.8 One-to-One Functions andTheir Inverses 234
Chapter 2 Review 243
Chapter2Test 255
¥ FOCUSONMODELING:ModelingwithFunctions 259
CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS 267
3.1 Quadratic Functionsand Models 267
3.2 Polynomial Functions and Their Graphs 276
3.3 DividingPolynomials 291
3.4 RealZerosofPolynomials 301
3.5 ComplexZerosandtheFundamentalTheoremofAlgebra 334
3.6 RationalFunctions 344
Chapter 3 Review 377
Chapter3Test 395
¥ FOCUSONMODELING:FittingPolynomialCurvestoData 398
CHAPTER 4 EXPONENTIALAND LOGARITHMIC FUNCTIONS 401
4.1 ExponentialFunctions 401
4.2 TheNaturalExponentialFunction 409
4.3 LogarithmicFunctions 414
4.4 Laws of Logarithms 422
4.5 ExponentialandLogarithmicEquations 426
, Contents v
4.6 ModelingwithExponentialFunctions 433
4.7 Logarithmic Scales 438
Chapter 4 Review 440
Chapter4Test 448
¥ FOCUSONMODELING:FittingExponentialandPowerCurvestoData 450
CHAPTER 5 TRIGONOMETRIC FUNCTIONS: RIGHT TRIANGLE APPROACH 455
5.1 AngleMeasure 455
5.2 Trigonometry ofRight Triangles 459
5.3 TrigonometricFunctionsofAngles 464
5.4 nverseTrigonometricFunctionsandRightTriangles 468
5.5 TheLawofSines 471
5.6 TheLaw of Cosines 476
Chapter 5 Review 481
Chapter5Test 486
¥ FOCUS ON MODELING: Surveying 536
CHAPTER 6 TRIGONOMETRIC FUNCTIONS: UNIT CIRCLE APPROACH 491
6.1 TheUnit Circle 491
6.2 Trigonometric Functions ofReal Numbers 495
6.3 Trigonometric Graphs 500
6.4 More Trigonometric Graphs 511
6.5 nverse Trigonometric Functions andTheir Graphs 519
6.6 ModelingHarmonicMotion 521
Chapter 6 Review 527
Chapter6Test 534
¥ FOCUSONMODELING:FittingSinusoidalCurvestoData 487
CHAPTER 7 ANALYTIC TRIGONOMETRY 541
7.1 Trigonometric Identities 541
7.2 AdditionandSubtractionFormulas 549
7.3 Double-Angle, Half-Angle, and Product-Sum Formulas 556
, vi Contents
BasicTrigonometricEquations 567
More Trigonometric Equations 571 Chapter 7
Review 578
Chapter7Test 584
¥ FOCUSONMODELING:TravelingandStandingWaves 586
CHAPTER 8 POLAR COORDINATES AND PARAMETRIC EQUATIONS 589
8.1 PolarCoordinates 589
8.2 GraphsofPolarEquations 593
8.3 Polar Form of Complex Numbers; De Moivre’s Theorem 600
8.4 Plane Curves andParametric Equations 612
Chapter 8 Review 623
Chapter8Test 630
¥ FOCUS ONMODELING: ThePathofaProjectile 631
CHAPTER 9 VECTORS IN TWO AND THREE DIMENSIONS 635
9.1 VectorsinTwoDimensions 635
9.2 TheDotProduct 641
9.3 Three-Dimensional Coordinate Geometry 644
9.4 VectorsinThreeDimensions 646
9.5 TheCrossProduct 649
9.6 EquationsofLinesandPlanes 652
Chapter 9 Review 654
Chapter9Test 658
¥ FOCUSONMODELING: VectorFields 659
CHAPTER 10 SYSTEMS OF EQUATIONS AND INEQUALITIES 663
10.1 SystemsofLinearEquationsinTwoVariables 663
10.2 SystemsofLinearEquationsinSeveralVariables 670
10.3 PartialFractions 678
10.4 SystemsofNonlinearEquations 689
10.5 SystemsofInequalities 696
Full download:
http://testbanklive.com/download/algebra-and-trigonometry-4th-edition-stewart-solutions-manual/
CONTENTS
¥ PROLOGUE: PrinciplesofProblemSolving 1
CHAPTER P PREREQUISITES 3
P.1 ModelingtheReal Worldwith Algebra 3
P.2 Real Numbers 4
P.3 Integer Exponents and Scientific Notation 9
P.4 RationalExponentsandRadicals 14
P.5 AlgebraicExpressions 18
P.6 Factoring 22
P.7 RationalExpressions 27
P.8 SolvingBasicEquations 34
P.9 ModelingwithEquations 39
Chapter PReview 45
ChapterPTest 51
¥ FOCUSONMODELING:MakingtheBestDecisions 54
CHAPTER 1 EQUATIONS AND GRAPHS 57
1.1 TheCoordinatePlane 57
1.2 Graphs of Equations in Two Variables; Circles 65
1.3 Lines 79
1.4 SolvingQuadraticEquations 90
1.5 ComplexNumbers 98
1.6 SolvingOtherTypesofEquations 101
1.7 Solving Inequalities 110
1.8 Solving Absolute Value Equations and Inequalities 129
1.9 Solving Equations and Inequalities Graphically 131
1.10 Modeling Variation 139
Chapter 1 Review 143
Chapter1Test 161
iii
,iv Contents
¥ FOCUS ON MODELING: Fitting Linesto Data 165
CHAPTER 2 FUNCTIONS 169
2.1 Functions 169
2.2 GraphsofFunctions 178
2.3 GettingInformationfromtheGraphofaFunction 190
2.4 AverageRateof ChangeofaFunction 201
2.5 LinearFunctionsandModels 206
2.6 TransformationsofFunctions 212
2.7 CombiningFunctions 226
2.8 One-to-One Functions andTheir Inverses 234
Chapter 2 Review 243
Chapter2Test 255
¥ FOCUSONMODELING:ModelingwithFunctions 259
CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS 267
3.1 Quadratic Functionsand Models 267
3.2 Polynomial Functions and Their Graphs 276
3.3 DividingPolynomials 291
3.4 RealZerosofPolynomials 301
3.5 ComplexZerosandtheFundamentalTheoremofAlgebra 334
3.6 RationalFunctions 344
Chapter 3 Review 377
Chapter3Test 395
¥ FOCUSONMODELING:FittingPolynomialCurvestoData 398
CHAPTER 4 EXPONENTIALAND LOGARITHMIC FUNCTIONS 401
4.1 ExponentialFunctions 401
4.2 TheNaturalExponentialFunction 409
4.3 LogarithmicFunctions 414
4.4 Laws of Logarithms 422
4.5 ExponentialandLogarithmicEquations 426
, Contents v
4.6 ModelingwithExponentialFunctions 433
4.7 Logarithmic Scales 438
Chapter 4 Review 440
Chapter4Test 448
¥ FOCUSONMODELING:FittingExponentialandPowerCurvestoData 450
CHAPTER 5 TRIGONOMETRIC FUNCTIONS: RIGHT TRIANGLE APPROACH 455
5.1 AngleMeasure 455
5.2 Trigonometry ofRight Triangles 459
5.3 TrigonometricFunctionsofAngles 464
5.4 nverseTrigonometricFunctionsandRightTriangles 468
5.5 TheLawofSines 471
5.6 TheLaw of Cosines 476
Chapter 5 Review 481
Chapter5Test 486
¥ FOCUS ON MODELING: Surveying 536
CHAPTER 6 TRIGONOMETRIC FUNCTIONS: UNIT CIRCLE APPROACH 491
6.1 TheUnit Circle 491
6.2 Trigonometric Functions ofReal Numbers 495
6.3 Trigonometric Graphs 500
6.4 More Trigonometric Graphs 511
6.5 nverse Trigonometric Functions andTheir Graphs 519
6.6 ModelingHarmonicMotion 521
Chapter 6 Review 527
Chapter6Test 534
¥ FOCUSONMODELING:FittingSinusoidalCurvestoData 487
CHAPTER 7 ANALYTIC TRIGONOMETRY 541
7.1 Trigonometric Identities 541
7.2 AdditionandSubtractionFormulas 549
7.3 Double-Angle, Half-Angle, and Product-Sum Formulas 556
, vi Contents
BasicTrigonometricEquations 567
More Trigonometric Equations 571 Chapter 7
Review 578
Chapter7Test 584
¥ FOCUSONMODELING:TravelingandStandingWaves 586
CHAPTER 8 POLAR COORDINATES AND PARAMETRIC EQUATIONS 589
8.1 PolarCoordinates 589
8.2 GraphsofPolarEquations 593
8.3 Polar Form of Complex Numbers; De Moivre’s Theorem 600
8.4 Plane Curves andParametric Equations 612
Chapter 8 Review 623
Chapter8Test 630
¥ FOCUS ONMODELING: ThePathofaProjectile 631
CHAPTER 9 VECTORS IN TWO AND THREE DIMENSIONS 635
9.1 VectorsinTwoDimensions 635
9.2 TheDotProduct 641
9.3 Three-Dimensional Coordinate Geometry 644
9.4 VectorsinThreeDimensions 646
9.5 TheCrossProduct 649
9.6 EquationsofLinesandPlanes 652
Chapter 9 Review 654
Chapter9Test 658
¥ FOCUSONMODELING: VectorFields 659
CHAPTER 10 SYSTEMS OF EQUATIONS AND INEQUALITIES 663
10.1 SystemsofLinearEquationsinTwoVariables 663
10.2 SystemsofLinearEquationsinSeveralVariables 670
10.3 PartialFractions 678
10.4 SystemsofNonlinearEquations 689
10.5 SystemsofInequalities 696
