AP微积分BC选择题Section2练习

.29)Findtheaveragevalueofthefunctionovertheinterval[0,4].a)b)c)d)e)Whatisthey-interceptofthelinetangenttothecurvey=x2+7atx=3?a)b)c)d)e)31)Whichofthefollowingfunction(s)iscontinuousanddifferentiable?I.II.III.a)IandIIIonly精品.IIIonlyIandIIonlyIonlyIIonly32)Findma)b)c)d)e)33)Thegraphofthederivativeofisshownbelow.Whichofthefollowingmustbetrue?fisconcavedownon[0,4].fisincreasingon[-2,2].fhasalocalmaximumatx=0.fhasalocalminimumatx=-2.精品.e)fhasapointofinflectionatx=4.34)Thesumoftwopositiveintegersxandyis60.Findthevalueofxthatminimizesa)b)c)d)e)35)Aparticlemovesonthecurvefindthespeedoftheparticleattime=.7.14146.70827.28013.31663.000036)Thefunctionfisdefinedasx6Whichofthefollowingisfalse?a)fhasahorizontalasymptoteaty=1.精品.fhasaverticalasymptoteatx=6.fisdecreasingon[3,6].fhasalocalmaximumatx=3.fisconcaveupforx>6.37)Aparticleismovingalongthex-axisanditspositionattime>0isgivenbyWhichofthefollowingis(are)true?I.Theparticlechangesdirectionatx=2andx=6.Theparticleisslowingdownon[0,2].III.Theparticleisspeedingupon[2,6].a)IIandIIIonlyb)Ionlyc)IIonlyd)IandIIIonlye)I,IIandIII38)f(x)isadifferentiablefunctionanditisdecreasingon(,).Ifthenghasalocalmaximumata)b)c)精品.d)e)Therateatwhichabacteriapopulationgrowsisproportionaltothenumberofbacteriapresent.Initially,therewere1000bacteriapresentandthepopulationdoubledin5hours.Roughlyhowmanyhoursdoesittakeforthepopulationtoreach10000?a)b)c)d)e)40)Findtheradiusofconvergenceoftheseriesa)b)c)d)精品.e)41)for0<x<3Thegraphofgisshownabove.Whichofthefollowingmustbetrue?I.II.III.IIandIIIonlyIIonlyIandIIIonlyIandIIonlyIonly42)Iftheregionboundedbyy=tan-1(x),y=andthey-axisisrotatedaboutthe精品.y-axis,thevolumeofthesolidformedis0.6740.2151.3480.4300.41343)f(x)isrepresentedbytheMaclaurinseriesWhatistheslopeofthelinenormaltothegraphofatx=?a)b)c)d)e)44)Whatareallvaluesofhforwhichconverge?h>1h<1h>1精品.h<1-1<h<145)Thebaseofasolidistheregionboundedbythex-axis,andthelinex=7Eachcross-sectionofthesolidperpendiculartothex-axisisasquare,withonesideonthexy-plane.Whichofthefollowingexpressionsreprese