AP微积分BC选择题Section2练习

Findtheaveragevalueofthefunctionovertheinterval[0,4].y=x2+7atx=3?y=x2+7atx=3?a)(0-2)Whatisthey-interceptofthelinetangenttothecurveb)c)d)e)Whichofthefollowingfunction(s)iscontinuousanddifferentiable?III.a)IandIIIonlyb)IIIonlyc)IandIIonlyIonlyIIonlyFindmlim -64…口[ / ]128b)兜4162Thegraphofthederivativeoffisshownbelow.Whichofthefollowingmustbetrue?fhasalocalmaximumat x=0.fhasalocalminimumat x=-2.fhasapointofinflectionat x=4.Thesumoftwopositiveintegersxandyis60.Findthevalueofthatminimizesa)胃=40k=1。"50

d）工二20e)^=30Aparticlemovesonthecurve[x=7win(E),尸二sin(2/)]findthespeedoftheparticleattime t=兀.7.14146.70827.28013.3166fisdefinedas3.0000fisdefinedasThefunction(一)A-6x-6Whichofthefollowingisfalse?fhasahorizontalasymptoteaty=1.fhasaverticalasymptoteatx=6.fisdecreasingon[3,6].fhasalocalmaximumatx=3.fisconcaveupforx>6.Aparticleismovingalongthex-axisanditspositionattimet>0isgivenbyS⑷=("2尸”6)Whichofthefollowingis(are)true?Theparticlechangesdirectionat x=2andx=6.Theparticleisslowingdownon[0,2].Theparticleisspeedingupon[2,6].IIandIIIonlyIonlyIIonlyIandIIIonlyI,IIandIIIf(x)isadifferentiablefunctionanditisdecreasingon(Ifthenghasalocalmaximumat1=—a)6b)工=0k=1k=21x=一2Therateatwhichabacteriapopulationgrowsisproportionaltothenumberofbacteriapresent.Initially,therewere1000bacteriapresentandthepopulationdoubledin5hours.Roughlyhowmanyhoursdoesittakeforthepopulationtoreach10000?14526011.016-520.5Findtheradiusofconvergenceoftheseriesa)b)c)d)Thegraphofgisshownabove.Whichofthefollowingmustbetrue?产/(£)■¥=0口.2J㈤4=11o/⑶宓=-l3a)IIandIIIonlyb)IIonlyc)IandIIIonlyd)IandIIonlye)Ionlyaboutthey-axis,thevolumeofthesolidformedis-1，、42)Iftheregionboundedbyy=tan(x),1-1，、42)Iftheregionboundedbyy=tan(x),1-7-兀y=aandthey-axisisrotated0.6740.2151.3480.4300.41343)f(x)isrepresentedbytheMaclaurinseries1-2!Whatistheslopeofthelinenormaltothegraphofa)0b);_222I'IWhatareallvaluesofhforwhich10五converge?h>1h<1h>1h<1-1<h<1Thebaseofasolidistheregionboundedbythex-axis,andthelinex=7Eachcross-sectionofthesolidperpendiculartothex-axisisasquare,withonesideonthexy-plane.Whichofthefollowingexpressionsrepre