AP 微积分BC选择题Section2练习.pdfVIP

29)Findtheaveragevalueofthefunction

overtheinterval[0,4].

a)

b)

c)

d)

e)

30)Whatisthey-interceptofthelinetangenttothecurvey=x2+7

atx=3?

a)

b)

c)

d)

e)

31)Whichofthefollowingfunction(s)iscontinuousanddifferentiable?

I.

II.

III.

a)IandIIIonly

b)IIIonly

c)IandIIonly

d)Ionly

e)IIonly

32)Findm

a)

b)

c)

d)

e)

33)Thegraphofthederivativeoffisshownbelow.Whichofthefollowing

mustbetrue?

a)fisconcavedownon[0,4].

b)fisincreasingon[-2,2].

c)fhasalocalmaximumatx=0.

d)fhasalocalminimumatx=-2.

e)fhasapointofinflectionatx=4.

34)Thesumoftwopositiveintegersxandyis60.Findthevalueofx

thatminimizes

a)

b)

c)

d)

e)

35)Aparticlemovesonthecurve

findthespeedoftheparticleattimet=.

a)7.1414

b)6.7082

c)7.2801

d)3.3166

e)3.0000

36)Thefunctionfisdefinedas

x6

Whichofthefollowingisfalse?

a)fhasahorizontalasymptoteaty=1.

b)fhasaverticalasymptoteatx=6.

c)fisdecreasingon[3,6].

d)fhasalocalmaximumatx=3.

e)fisconcaveupforx6.

37)Aparticleismovingalongthex-axisanditspositionattimet

0isgivenby

Whichofthefollowingis(are)true?

I.Theparticlechangesdirectionatx=2andx=6.

II.Theparticleisslowingdownon[0,2].

III.Theparticleisspeedingupon[2,6].

a)IIandIIIonly

b)Ionly

c)IIonly

d)IandIIIonly

e)I,IIandIII

fx

38)()isadifferentiablefunctionanditisdecreasingon(,).

If

t