Algebra and Trigonometry 4th Edition Stewart SOLUTIONS MANUAL

Algebra and Trigonometry 4th Edition Stewart SOLUTIONS MANUAL
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CONTENTS

¥ PROLOGUE: PrinciplesofProblemSolving
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CHAPTER N P PREREQUISITES 3
P.1 ModelingtheReal Worldwith Algebra N N N N 3
P.2 Real Numbers 4
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P.3 Integer Exponents and Scientific Notation
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P.4 RationalExponentsandRadicals N N 14
P.5 AlgebraicExpressions 18 N




P.6 Factoring 22 N




P.7 RationalExpressions 27 N




P.8 SolvingBasicEquations N N 34
P.9 ModelingwithEquations N N 39
Chapter PReview N N N 45
ChapterPTest 51 N




¥ FOCUSONMODELING:MakingtheBestDecisions 54

CHAPTER N 1 EQUATIONS AND GRAPHS N N 57
1.1 TheCoordinatePlane 57 N N




1.2 Graphs of Equations in Two Variables; Circles
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1.3 Lines 79 N




1.4 SolvingQuadraticEquations 90 N




1.5 ComplexNumbers 98 N




1.6 SolvingOtherTypesofEquations N N 101
1.7 Solving Inequalities
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1.8 Solving Absolute Value Equations and Inequalities 129
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1.9 Solving Equations and Inequalities Graphically
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1.10 Modeling Variation 139 N N




Chapter 1 Review 143
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Chapter1Test 161 N



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¥ FOCUS ON MODELING: Fitting Linesto Data
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CHAPTER N 2 FUNCTIONS 169
2.1 Functions 169 N




2.2 GraphsofFunctions N N 178
2.3 GettingInformationfromtheGraphofaFunction N N 190
2.4 AverageRateof ChangeofaFunction
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2.5 LinearFunctionsandModels 206 N N




2.6 TransformationsofFunctions 212 N




2.7 CombiningFunctions 226 N N




2.8 One-to-One Functions andTheir Inverses
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Chapter 2 Review 243
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Chapter2Test 255 N




¥ FOCUSONMODELING:ModelingwithFunctions N N 259

CHAPTER N 3 POLYNOMIAL AND RATIONAL FUNCTIONS N N N 267
3.1 Quadratic Functionsand Models
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3.2 Polynomial Functions and Their Graphs
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3.3 DividingPolynomials N N 291
3.4 RealZerosofPolynomials N N 301
3.5 ComplexZerosandtheFundamentalTheoremofAlgebra 334
3.6 RationalFunctions 344 N N




Chapter 3 Review 377
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Chapter3Test 395 N




¥ FOCUSONMODELING:FittingPolynomialCurvestoData 398

CHAPTER N 4 EXPONENTIALAND LOGARITHMIC FUNCTIONS N N 401
4.1 ExponentialFunctions 401 N




4.2 TheNaturalExponentialFunction 409 N




4.3 LogarithmicFunctions 414 N




4.4 Laws of Logarithms
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4.5 ExponentialandLogarithmicEquations 426 N

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4.6 ModelingwithExponentialFunctions 433 N




4.7 Logarithmic Scales 438 N N N




Chapter 4 Review 440
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Chapter4Test 448 N




¥ FOCUSONMODELING:FittingExponentialandPowerCurvestoData N N 450

CHAPTER N 5 TRIGONOMETRIC FUNCTIONS: RIGHT TRIANGLE APPROACH N N N N 455
5.1 AngleMeasure N N 455
5.2 Trigonometry ofRight Triangles N N 459
5.3 TrigonometricFunctionsofAngles 464 N




5.4 nverseTrigonometricFunctionsandRightTriangles 468 N




5.5 TheLawofSines 471 N N




5.6 TheLaw of Cosines 476
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Chapter 5 Review 481
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Chapter5Test 486 N




¥ FOCUS ON MODELING: Surveying 536
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CHAPTER N 6 TRIGONOMETRIC FUNCTIONS: UNIT CIRCLE APPROACH N N N N 491
6.1 TheUnit Circle 491
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6.2 Trigonometric Functions ofReal Numbers
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6.3 Trigonometric Graphs 500 N




6.4 More Trigonometric Graphs
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6.5 nverse Trigonometric Functions andTheir Graphs
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6.6 ModelingHarmonicMotion 521 N




Chapter 6 Review 527
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Chapter6Test 534 N




¥ FOCUSONMODELING:FittingSinusoidalCurvestoData N N 487

CHAPTER N 7 ANALYTIC TRIGONOMETRY N 541
7.1 Trigonometric Identities 541 N




7.2 AdditionandSubtractionFormulas 549 N




7.3 Double-Angle, Half-Angle, and Product-Sum Formulas
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BasicTrigonometricEquations 567
More Trigonometric Equations
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Review 578
Chapter7Test 584 N




¥ FOCUSONMODELING:TravelingandStandingWaves
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CHAPTER N 8 POLAR COORDINATES AND PARAMETRIC EQUATIONS
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8.1 PolarCoordinates 589 N




8.2 GraphsofPolarEquations N N 593
8.3 Polar Form of Complex Numbers; De Moivre’s Theorem 600
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8.4 Plane Curves andParametric Equations
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Chapter 8 Review 623
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Chapter8Test 630 N




¥ FOCUS ONMODELING: ThePathofaProjectile
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CHAPTER N 9 VECTORS IN TWO AND THREE DIMENSIONS N N N N N 635
9.1 VectorsinTwoDimensions 635 N N




9.2 TheDotProduct 641 N N




9.3 Three-Dimensional Coordinate Geometry N N 644
9.4 VectorsinThreeDimensions 646 N




9.5 TheCrossProduct 649 N N




9.6 EquationsofLinesandPlanes 652 N N




Chapter 9 Review 654
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Chapter9Test 658 N




¥ FOCUSONMODELING:VectorFields N N N 659

CHAPTER N 10 SYSTEMS OF EQUATIONS AND INEQUALITIES N N N N 663
10.1 SystemsofLinearEquationsinTwoVariables N N 663
10.2 SystemsofLinearEquationsinSeveralVariables N N 670
10.3 PartialFractions 678 N N




10.4 SystemsofNonlinearEquations 689 N




10.5 SystemsofInequalities N N 696