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5 Steps to a 5: AP Calculus AB 2024 (2024) - Document preview page 1

5 Steps to a 5: AP Calculus AB 2024 (2024) - Page 1

Document preview content for 5 Steps to a 5: AP Calculus AB 2024 (2024)

5 Steps to a 5: AP Calculus AB 2024 (2024)

Reinforce your learning with 5 Steps to a 5: AP Calculus AB 2024 (2024), a set of structured practice exams tailored for success.

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5 Steps to a 5: AP Calculus AB 2024 (2024) - Page 1 preview imagehb\--LaNeSootheTQSs5."Ls)x.0d0))fia5STEPSTOAn-0We,ofy\NYaNDIRE/\oteERJDoi!4\SURanRhee>SRR8:CUT4{APCalculusABWilliamMaeEmilyPillar[£8vI3rracriceTESTSONLINE<0ifn
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5 Steps to a 5: AP Calculus AB 2024 (2024) - Page 3 preview imageL..-\.#aLJ3.:MY\\AN)1!alWERIRG.JR)Mcii5STEPSTOA\7)»|ot\4.ahWe[PewnodMeAi/\“uwhi\*ReAL1\ehNW)WN.aBear*&RRR)2LIRRerkWNRNBARSUosSApie;lhYa453,APCalculusABWilliamMaeEmilyPillary83eracriceTESTSONLINECOURSE
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5 Steps to a 5: AP Calculus AB 2024 (2024) - Page 4 preview image=YOURPERSONALIZEDSTUDYPROGRAM(ETITRYPI(1)ToAccessYourOnlineCourse:@Createanaccountatwww.mheducation.com/5stepscalcDe=onnel——Br_|©|REDEEMYOUR|lleE|Accesscook|=|mhapcawc245Fessssesssssntinntntinernnransmhapawe24s[3]Enteryoure-mailaddressandcreateapassword.©crvescnmt:(4)You'reallsettostartstudying!‘=—im:e=="______|:Healll==eiSe——Study
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5 Steps to a 5: AP Calculus AB 2024 (2024) - Page 5 preview image=YOURPERSONALIZEDSTUDYPROGRAM[:RTUIARRFEI)CustomizableStudyPlantracksyourdailygoals9GamesCenter°forpracticeinsparemoments——SEE©miosheiontsweeneyTwooI.PeerSupport[2].andstudytipsviasocialmedianNStudyPlanInteractiveLessonsee]coverentirebook10414/407%PracticeTestso————————————[Jerpmioibyr+designedtosimulatetherealthingPracticeQuestionsTa(Wrenn.miletobuildtestreadinessa©"rcOvptateComaStudyToolstofocusstudywhereE——mostneeded(c][c]Practice:NumberTheoryDigitalFlashcards©Trescases?AlltomemorizekeyconceptsAdvancedAnalytics[FF=.=_fromtheIntelligentReportDashboard—Study
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5 Steps to a 5: AP Calculus AB 2024 (2024) - Page 6 preview imageems.APCalculusAB2024WilliamMaEmilyPillarionyYatNowOu,Snapeine.Tron
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5 Steps to a 5: AP Calculus AB 2024 (2024) - Page 7 preview imageCopyright©2023,2022byMcGrawHill.Allrightsreserved.ExceptaspermittedundertheCopyrightActof1976,nopartofthispublicationmaybereproducedordistributedinanyformorbyanymeans,orstoredinadatabaseorretrievalsystem,withoutthepriorwrittenpermissionofpublisher.ISBN:978-1-26-535162-5MHID: 1-26-535162-7ThematerialinthiseBookalsoappearsintheprintversionofthistitle:ISBN:978-1-26-535107-6,MHID:1-26-535107-4.eBookconversionbycodeMantraVersion1.0Alltrademarksaretrademarksoftheirrespectiveowners.Ratherthanputatrademarksymbolaftereveryoccurrenceofatrademarkedname,weusenamesinaneditorialfashiononly,andtothebenefitofthetrademarkowner,withnointentionofinfringementofthetrademark.Wheresuchdesignationsappearinthisbook,theyhavebeenprintedwithinitialcaps.McGrawHilleBooksareavailableatspecialquantitydiscountstouseaspremiumsandsalespromotionsorforuseincorporatetrainingprograms.Tocontactarepresentative,pleasevisittheContactUspageatwww.mhprofessional.com.McGrawHill,theMcGrawHilllogo,5Stepstoa5,andrelatedtradedressaretrademarksorregisteredtrademarksofMcGrawHilland/oritsaffiliatesintheUnitedStatesandothercountriesandmaynotbeusedwithoutwrittenpermission.Allothertrademarksarethepropertyoftheirrespectiveowners.McGrawHillisnotassociatedwithanyproductorvendormentionedinthisbook.AP,AdvancedPlacementProgram,andCollegeBoardareregisteredtrademarksoftheCollegeBoard,whichwasnotinvolvedintheproductionof,anddoesnotendorse,thisproduct.
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5 Steps to a 5: AP Calculus AB 2024 (2024) - Page 8 preview imageTERMSOFUSEThisisacopyrightedworkandMcGrawHill(“McGrawHill”)anditslicensorsreserveallrightsinandtothework.Useofthisworkissubjecttotheseterms.ExceptaspermittedundertheCopyrightActof1976andtherighttostoreandretrieveonecopyofthework,youmaynotdecompile,disassemble,reverseengineer,reproduce,modify,createderivativeworksbasedupon,transmit,distribute,disseminate,sell,publishorsublicensetheworkoranypartofitwithoutMcGrawHill’spriorconsent.Youmayusetheworkforyourownnoncommercialandpersonaluse;anyotheruseoftheworkisstrictlyprohibited.Yourrighttousetheworkmaybeterminatedifyoufailtocomplywiththeseterms.THEWORKISPROVIDED“ASIS.”McGRAWHILLANDITSLICENSORSMAKENOGUARANTEESORWARRANTIESASTOTHEACCURACY,ADEQUACYORCOMPLETENESSOFORRESULTSTOBEOBTAINEDFROMUSINGTHEWORK,INCLUDINGANYINFORMATIONTHATCANBEACCESSEDTHROUGHTHEWORKVIAHYPERLINKOROTHERWISE,ANDEXPRESSLYDISCLAIMANYWARRANTY,EXPRESSORIMPLIED,INCLUDINGBUTNOTLIMITEDTOIMPLIEDWARRANTIESOFMERCHANTABILITYORFITNESSFORAPARTICULARPURPOSE.McGrawHillanditslicensorsdonotwarrantorguaranteethatthefunctionscontainedintheworkwillmeetyourrequirementsorthatitsoperationwillbeuninterruptedorerrorfree.NeitherMcGrawHillnoritslicensorsshallbeliabletoyouoranyoneelseforanyinaccuracy,errororomission,regardlessofcause,intheworkorforanydamagesresultingtherefrom.McGrawHillhasnoresponsibilityforthecontentofanyinformationaccessedthroughthework.UndernocircumstancesshallMcGrawHilland/oritslicensorsbeliableforanyindirect,incidental,special,punitive,consequentialorsimilardamagesthatresultfromtheuseoforinabilitytousethework,evenifanyofthemhasbeenadvisedofthepossibilityofsuchdamages.Thislimitationofliabilityshallapplytoanyclaimorcausewhatsoeverwhethersuchclaimorcausearisesincontract,tortorotherwise.OnlineCourseSingleUserLicenseTermsandConditions
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5 Steps to a 5: AP Calculus AB 2024 (2024) - Page 11 preview imagePrefaceAcknowledgmentsAbouttheAuthorsIntroduction:TheFive-StepProgramSTEP1SetUpYourStudyPlan1WhatYouNeedtoKnowAbouttheAPCalculusABExam1.1WhatIsCoveredontheAPCalculusABExam?1.2WhatIstheFormatoftheAPCalculusABExam?1.3WhatAretheAdvancedPlacementExamGrades?HowIstheAPCalculusABExamGradeCalculated?1.4WhichGraphingCalculatorsAreAllowedfortheExam?CalculatorsandOtherDevicesNotAllowedfortheAPCalculusABExamOtherRestrictionsonCalculators2HowtoPlanYourTime2.1ThreeApproachestoPreparingfortheAPCalculusABExamOverviewoftheThreePlans2.2CalendarforEachPlanSummaryoftheThreeStudyPlansSTEP2DetermineYourTestReadiness3TakeaDiagnosticExam3.1GettingStarted!
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5 Steps to a 5: AP Calculus AB 2024 (2024) - Page 12 preview image3.2DiagnosticTest3.3AnswerstoDiagnosticTest3.4SolutionstoDiagnosticTest3.5CalculateYourScoreShort-AnswerQuestionsAPCalculusABDiagnosticTestSTEP3DevelopStrategiesforSuccess4HowtoApproachEachQuestionType4.1TheMultiple-ChoiceQuestions4.2TheFree-ResponseQuestions4.3UsingaGraphingCalculator4.4TakingtheExamWhatDoINeedtoBringtotheExam?TipsforTakingtheExamSTEP4ReviewtheKnowledgeYouNeedtoScoreHigh5ReviewofPrecalculus5.1LinesSlopeofaLineEquationsofaLineParallelandPerpendicularLines5.2AbsoluteValuesandInequalitiesAbsoluteValuesInequalitiesandtheRealNumberLineSolvingAbsoluteValueInequalitiesSolvingPolynomialInequalitiesSolvingRationalInequalities5.3FunctionsDefinitionofaFunction
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5 Steps to a 5: AP Calculus AB 2024 (2024) - Page 13 preview imageOperationsonFunctionsInverseFunctionsTrigonometricandInverseTrigonometricFunctionsExponentialandLogarithmicFunctions5.4GraphsofFunctionsIncreasingandDecreasingFunctionsInterceptsandZerosOddandEvenFunctionsShifting,Reflecting,andStretchingGraphs5.5RapidReview5.6PracticeProblems5.7CumulativeReviewProblems5.8SolutionstoPracticeProblems5.9SolutionstoCumulativeReviewProblemsBigIdea1:Limits6LimitsandContinuity6.1TheLimitofaFunctionDefinitionandPropertiesofLimitsEvaluatingLimitsOne-SidedLimitsSqueezeTheorem6.2LimitsInvolvingInfinitiesInfiniteLimits(asx—a)LimitsatInfinity(asx—+o)HorizontalandVerticalAsymptotes6.3ContinuityofaFunctionContinuityofaFunctionataNumberContinuityofaFunctionoveranIntervalTheoremsonContinuity
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5 Steps to a 5: AP Calculus AB 2024 (2024) - Page 14 preview image6.4RapidReview6.5PracticeProblems6.6CumulativeReviewProblems6.7SolutionstoPracticeProblems6.8SolutionstoCumulativeReviewProblemsBigIdea2:Derivatives7Differentiation7.1DerivativesofAlgebraicFunctionsDefinitionoftheDerivativeofaFunctionPowerRuleTheSum,Difference,Product,andQuotientRulesTheChainRule7.2DerivativesofTrigonometric,InverseTrigonometric,Exponential,andLogarithmicFunctionsDerivativesofTrigonometricFunctionsDerivativesofInverseTrigonometricFunctionsDerivativesofExponentialandLogarithmicFunctions7.3ImplicitDifferentiationProcedureforImplicitDifferentiation7.4ApproximatingaDerivative7.5DerivativesofInverseFunctions7.6HigherOrderDerivatives7.7L’Hépital’sRuleforIndeterminateForms7.8RapidReview7.9PracticeProblems7.10CumulativeReviewProblems7.11SolutionstoPracticeProblems7.12SolutionstoCumulativeReviewProblems8GraphsofFunctionsandDerivatives
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5 Steps to a 5: AP Calculus AB 2024 (2024) - Page 15 preview image8.1Rolle’sTheorem,MeanValueTheorem,andExtremeValueTheoremRolle’sTheoremMeanValueTheoremExtremeValueTheorem8.2DeterminingtheBehaviorofFunctionsTestforIncreasingandDecreasingFunctionsFirstDerivativeTestandSecondDerivativeTestforRelativeExtremaTestforConcavityandPointsofInflection8.3SketchingtheGraphsofFunctionsGraphingwithoutCalculatorsGraphingwithCalculators8.4GraphsofDerivatives8.5RapidReview8.6PracticeProblems8.7CumulativeReviewProblems8.8SolutionstoPracticeProblems8.9SolutionstoCumulativeReviewProblems9ApplicationsofDerivatives9.1RelatedRateGeneralProcedureforSolvingRelatedRateProblemsCommonRelatedRateProblemsInvertedCone(WaterTank)ProblemShadowProblemAngleofElevationProblem9.2AppliedMaximumandMinimumProblemsGeneralProcedureforSolvingAppliedMaximumandMinimumProblemsDistanceProblem
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5 Steps to a 5: AP Calculus AB 2024 (2024) - Page 16 preview imageAreaandVolumeProblemsBusinessProblems9.3RapidReview9.4PracticeProblems9.5CumulativeReviewProblems9.6SolutionstoPracticeProblems9.7SolutionstoCumulativeReviewProblems10MoreApplicationsofDerivatives10.1TangentandNormalLinesTangentLinesNormalLines10.2LinearApproximationsTangentLineApproximation(orLinearApproximation)EstimatingthenthRootofaNumberEstimatingtheValueofaTrigonometricFunctionofanAngle10.3MotionAlongaLineInstantaneousVelocityandAccelerationVerticalMotionHorizontalMotion10.4RapidReview10.5PracticeProblems10.6CumulativeReviewProblems10.7SolutionstoPracticeProblems10.8SolutionstoCumulativeReviewProblemsBigIdea3:IntegralsandtheFundamentalTheoremsofCalculus11Integration11.1EvaluatingBasicIntegralsAntiderivativesandIntegrationFormulas
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