UNIT 1 PROGRESS CHECK MCQ PART A
QUESTIONS WITH COMPLETE
ANSWERS
The mmfunction mmf mmis mmgiven mmby mmf(x)=0.1x4−0.5x3−3.3x2+7.7x−1.99. mmFor
mmhow mmmany mmpositive mmvalues mmof mmb mmdoes mmlimx→bf(x)=2 mm? mm- mmAnswer
mmC. mmThree
A mmparticle mmis mmmoving mmon mmthe mmx-axis mmand mmthe mmposition mmof mmthe
mmparticle mmat mmtime mmt mmis mmgiven mmby mmx(t), mmwhose mmgraph mmis mmgiven
mmabove. mmWhich mmof mmthe mmfollowing mmis mmthe mmbest mmestimate mmfor mmthe
mmspeed mmof mmthe mmparticle mmat mmtime mmt=8 mm? mm- mmAnswer mmA. mm0
A mmrocket mmleaves mmthe mmsurface mmof mmEarth mmat mmtime mmt=0 mmand mmtravels
mmstraight mmup mmfrom mmthe mmsurface. mmThe mmheight, mmin mmfeet, mmof mmthe
mmrocket mmabove mmthe mmsurface mmof mmEarth mmis mmgiven mmby mmy(t), mmwhere mmt
mmis mmmeasured mmin mmseconds mmfor mm0≤t≤600. mmValues mmof mmy(t) mmfor
mmselected mmvalues mmof mmt mmare mmgiven mmin mmthe mmtable mmabove. mmOf mmthe
mmfollowing mmvalues mmof mmt, mmat mmwhich mmvalue mmwould mmthe mmspeed mmof mmthe
mmrocket mmmost mmlikely mmbe mmgreatest mmbased mmon mmthe mmdata mmin mmthe
mmtable? mm- mmAnswer mmD. mmt=400
The mmposition mmof mma mmparticle mmmoving mmto mmthe mmright mmon mmthe mmx-axis mmis
mmgiven mmby mmx(t), mmwhere mmx(t) mmis mmmeasured mmin mminches mmand mmt mmis
mmmeasured mmin mmminutes mmfor mm0≤t≤100. mmIf mmy=x(t) mmis mma mmlinear mmfunction,
mmwhich mmof mmthe mmfollowing mmwould mmmost mmlikely mmgive mmthe mmbest mmestimate
mmof mmthe mmspeed mmof mmthe mmparticle, mmin mminches mmper mmminute, mmat mmtime
mmt=20 mmminutes? mm- mmAnswer mmD. mmThe mmslope mmof mmthe mmgraph mmof mmy=x(t)
Let mmf mmbe mmthe mmfunction mmgiven mmby mmf(x)=e2x−1x. mmWhich mmof mmthe
mmfollowing mmequations mmexpresses mmthe mmproperty mmthat mmf(x) mmcan mmbe mmmade
mmarbitrarily mmclose mmto mm2 mmby mmtaking mmx mmsufficiently mmclose mmto mm0, mmbut
mmnot mmequal mmto mm0 mm? mm- mmAnswer mmC. mmlimx→0f(x)=2limx→0f(x)=2
QUESTIONS WITH COMPLETE
ANSWERS
The mmfunction mmf mmis mmgiven mmby mmf(x)=0.1x4−0.5x3−3.3x2+7.7x−1.99. mmFor
mmhow mmmany mmpositive mmvalues mmof mmb mmdoes mmlimx→bf(x)=2 mm? mm- mmAnswer
mmC. mmThree
A mmparticle mmis mmmoving mmon mmthe mmx-axis mmand mmthe mmposition mmof mmthe
mmparticle mmat mmtime mmt mmis mmgiven mmby mmx(t), mmwhose mmgraph mmis mmgiven
mmabove. mmWhich mmof mmthe mmfollowing mmis mmthe mmbest mmestimate mmfor mmthe
mmspeed mmof mmthe mmparticle mmat mmtime mmt=8 mm? mm- mmAnswer mmA. mm0
A mmrocket mmleaves mmthe mmsurface mmof mmEarth mmat mmtime mmt=0 mmand mmtravels
mmstraight mmup mmfrom mmthe mmsurface. mmThe mmheight, mmin mmfeet, mmof mmthe
mmrocket mmabove mmthe mmsurface mmof mmEarth mmis mmgiven mmby mmy(t), mmwhere mmt
mmis mmmeasured mmin mmseconds mmfor mm0≤t≤600. mmValues mmof mmy(t) mmfor
mmselected mmvalues mmof mmt mmare mmgiven mmin mmthe mmtable mmabove. mmOf mmthe
mmfollowing mmvalues mmof mmt, mmat mmwhich mmvalue mmwould mmthe mmspeed mmof mmthe
mmrocket mmmost mmlikely mmbe mmgreatest mmbased mmon mmthe mmdata mmin mmthe
mmtable? mm- mmAnswer mmD. mmt=400
The mmposition mmof mma mmparticle mmmoving mmto mmthe mmright mmon mmthe mmx-axis mmis
mmgiven mmby mmx(t), mmwhere mmx(t) mmis mmmeasured mmin mminches mmand mmt mmis
mmmeasured mmin mmminutes mmfor mm0≤t≤100. mmIf mmy=x(t) mmis mma mmlinear mmfunction,
mmwhich mmof mmthe mmfollowing mmwould mmmost mmlikely mmgive mmthe mmbest mmestimate
mmof mmthe mmspeed mmof mmthe mmparticle, mmin mminches mmper mmminute, mmat mmtime
mmt=20 mmminutes? mm- mmAnswer mmD. mmThe mmslope mmof mmthe mmgraph mmof mmy=x(t)
Let mmf mmbe mmthe mmfunction mmgiven mmby mmf(x)=e2x−1x. mmWhich mmof mmthe
mmfollowing mmequations mmexpresses mmthe mmproperty mmthat mmf(x) mmcan mmbe mmmade
mmarbitrarily mmclose mmto mm2 mmby mmtaking mmx mmsufficiently mmclose mmto mm0, mmbut
mmnot mmequal mmto mm0 mm? mm- mmAnswer mmC. mmlimx→0f(x)=2limx→0f(x)=2
