solutions for Precalculus with Limits 5th Edition by Larson

All Chapters Covered
M M




SOLUTION MANUAL
M

, CONTENTS
PartMI SolutionsMtoMAllMExercises ............................................................ 1

ChapterM1 FunctionsMandMTheirMGraphs ........................................................... 1

ChapterM2 PolynomialMandMRationalMFunctions .............................................. 60

ChapterM3 ExponentialMandMLogarithmicMFunctions...................................... 123

ChapterM4 Trigonometry................................................................................ 157

ChapterM5 AnalyticMTrigonometry ................................................................ 205

ChapterM6 AdditionalMTopicsMinMTrigonometry ............................................ 244

ChapterM7 SystemsMofMEquationsMandMInequalities ...................................... 287

ChapterM8 MatricesMandMDeterminants.......................................................... 338

ChapterM9 Sequences,MSeries,MandMProbability ............................................. 389

ChapterM10 TopicsMinMAnalyticMGeometry ..................................................... 427

ChapterM11 AnalyticMGeometryMinMThreeMDimensions .................................. 501

ChapterM12 LimitsMandManMIntroductionMtoMCalculus .................................... 526

AppendixMA ReviewMofMFundamentalMConceptsMofMAlgebra .......................... 557

SolutionsMtoMCheckpoints .......................................................... 581

SolutionsMtoMPracticeMTests ....................................................... 786

PartMII SolutionsMtoMChapterMandMCumulativeMTests ......................... 812




iii



CopyrightM 2013M CengageM Learning.M AllM RightsM Reserved.M MayM notM beM copied,M scanned,M orM duplicated,M inM wholeM orM inM part.M DueM toM electronicM rights,M someM thirdM partyM contentM
mayM beM suppressedM fromM theM eBookM and/orM eChapter(s).

, C H A P T E R 1M M M M M M


Functions and Their Graphs M M M




SectionM1.1 RectangularMCoordinates .................................................................. 2

SectionM1.2 GraphsMofMEquations ........................................................................ 5

SectionM1.3 LinearMEquationsMinMTwoMVariables .............................................10

SectionM1.4 Functions.........................................................................................16

SectionM1.5 AnalyzingMGraphsMofMFunctions ....................................................20

SectionM1.6 AMLibraryMofMParentMFunctions .....................................................25

SectionM1.7 TransformationsMofMFunctions ........................................................28

SectionM1.8 CombinationsMofMFunctions:MCompositeMFunctions .......................33

SectionM1.9 InverseMFunctions ...........................................................................37

SectionM1.10 MathematicalMModelingMandMVariation..........................................44

ReviewMExercises ..................................................................................................47

ProblemMSolving ...................................................................................................55

PracticeMTest .........................................................................................................58




CopyrightM 2013M CengageM Learning.M AllM RightsM Reserved.M MayM notM beM copied,M scanned,M orM duplicated,M inM wholeM orM inM part.M DueM toM electronicM rights,M someM thirdM partyM contentM
mayM beM suppressedM fromM theM eBookM and/orM eChapter(s).

, CM HM AM PM TM EM R 1
FunctionsM andM TheirM Graphs
SectionM 1.1 RectangularM Coordinates
1.M Cartesian
17. dM  M x M
3.M DistanceMFormula y M
3MM 2 M 6
2M

 2M6
2
5.
 5 M 1
 M M 1
2
 25
M 1344
Munits



19. dM  M x M
M y
5M M1 M 1
2M
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 6 M 
7. M3,M4
 M M
2
 36
25
9. xM M 0M andM yM M 0M inMQuadrantMIV.  61 units

11. xM M 4M andM yM M 0M inMQuadrantMII.
21. dM  x2M M x1 M My
13. x,MMyM isMinMtheMsecondMQuadrantMmeansMt is  
 
 M2M M  
hatM x,M y
in 21M  34M
M

QuadrantMIII.    
15. Year,Mx NumberMofMStores, M3  7
 M2 MM2 
My M   3 M
2 M

2003 4906 9M 
 M
49
2004 5289 4 9
277
2005 6141 
36
2006 6779 277M
 units
2007 7262 6

2008 7720 23.M (a)M 1,M0,M13,M5
2009 8416
13M M1 M 5
2M
DistanceM 

122M M 
2010 8970 2
 169 M 13
52
13,M5,M13,
M0

DistanceM  5M  M 5M M 5
M0
1,M0,M13,
M0 
DistanceM M 1M M 13 M 1 M 12
2

(b) 52M M M 25M M 144M M 169M M 132
122
YearM tM M 3M M 2003



CopyrightM 2013M CengageM Learning.M AllM RightsM Reserved.M MayM notM beM copied,M scanned,M orM duplicated,M inM wholeM orM inM part.M DueM toM electronicM rights,M someM thirdM partyM contentM
mayM beM suppressedM fromM theM eBookM and/orM eChapter(s).