Stewartb-bCalculusb8ebETbChapterb2bFormbAb
b
b
©b2016bCengagebLearning.bAllbRightsbReserved.bMaybnotbbebscanned,bcopiedborbduplicated,bo
rbpostedbtobabpubliclybaccessiblebwebsite,binbwholeborbinbpart.b
b
b
b
1.bFindbtheblimit.b
b
b
b
b
2.bEvaluatebtheblimit.bb
b
b
b
b
3.bFindbtheblimit.bb
b
b
b
b
4.bHowbclosebtob
bdobwebhavebtobtakebxbsobthatb
b
b
b
5.bHowbclosebtob2bdobwebhavebtobtakebxbsobthatb
bisbwithinbabdistancebofb0.01bfromb13?b
b
b
6.bIfbfbandbgbarebcontinuousbfunctionsbwithb
b
b
b
7.bFindbtheblimit.b
b
b
b
b
8.bFindbtheblimit.b
b
b
b
b
9.bFindbanbequationbofbthebtangentblinebtobthebcurve.b
b
b
DOWNLOADbTHEbTestbBankbforbSinglebVariablebCalculusbEarly
bbbbbbbbbbbTranscendentalsb8thbEditionbStewart
mynursytest.store
Stewartb-bCalculusb8ebETbChapterb2bFormbAb
b
b
©b2016bCengagebLearning.bAllbRightsbReserved.bMaybnotbbebscanned,bcopiedborbduplicated,bo
rbpostedbtobabpubliclybaccessiblebwebsite,binbwholeborbinbpart.b
b
b
b
10.bFindbtheblimitbifb
b
b
b
b
b
11.bUsebthebgraphbofbthebfunctionbtobfindbeachblimit.b
b
,1
2
3
4
5
–1
–2
–3
–4
–5
x
1
2
3
4
5
–1
–2
–3
–4
–5
y
b
b
,bbb
,bbb
b
b
b
12.bCompletebthebtablebbybcomputingb
batbthebgivenbvaluesbofbx,baccuratebtobfivebdecimalbplaces.b
Usebthebresultsbtobguessbatbthebindicatedblimit,bifbitbexists,btobthreebdecimalbplaces.b
b
b
b
xb
3.9b
3.99b
3.999b
4.001b
4.01b
4.1b
b
b
b
b
b
b
b
b
b
b
13.bUsebthebprecisebdefinitionbofbablimitbtobprovebthatb
b
,b
b
14.bFindbtheblimitb
.b
b
b
15.bFindbthebnumbers,bifbany,bwherebthebfunctionb
bisbdiscontinuous.b
DOWNLOADbTHEbTestbBankbforbSinglebVariablebCalculusbEarly
bbbbbbbbbbbTranscendentalsb8thbEditionbStewart
mynursytest.store
Stewartb-bCalculusb8ebETbChapterb2bFormbAb
b
b
©b2016bCengagebLearning.bAllbRightsbReserved.bMaybnotbbebscanned,bcopiedborbduplicated,bo
rbpostedbtobabpubliclybaccessiblebwebsite,binbwholeborbinbpart.b
b
b
b
16.bFindbthebinterval(s)bwhereb
bisbcontinuous.b
b
b
17.bYoubarebgivenbthebgraphbofbbf.bFindbthebhorizontalbandbverticalbasymptotesbofbthebgraphbo
fbbf.b
b
1
2
3
4
5
6
7
–7b–6b–5b–4b–3b–2b–1
x
1
2
3
4
5
6
7
–1
–2
–3
–4
–5
–6
–7
y
, b
b
b
18.bThebgraphbshowsbthebpercentagebofbhouseholdsbinbabcertainbcitybwatchingbtelevisionbdur
ingbab24-hrbperiodbonb
abweekdayb(
bcorrespondsbtob6ba.m.).bBybcomputingbthebslopebofbthebrespectivebtangentbline,bestimatebtheb
ratebofbchangebofbthebpercentagebofbhouseholdsbwatchingbtelevisionbatba-12bp.m.bb
Notebthatb
b
b
3
dy
2
4
6
8
10b12b14b16b18b20
tb(hr)
0.075
0.15
0.225
yb(%)
b
b
b
19.bFindbthebderivativebofbthebfunctionbandbevaluateb
batbthebgivenbvaluebofbx.b
b
b
DOWNLOADbTHEbTestbBankbforbSinglebVariablebCalculusbEarly
bbbbbbbbbbbTranscendentalsb8thbEditionbStewart
mynursytest.store
Stewartb-bCalculusb8ebETbChapterb2bFormbAb
b
b
©b2016bCengagebLearning.bAllbRightsbReserved.bMaybnotbbebscanned,bcopiedborbduplicated,bo
rbpostedbtobabpubliclybaccessiblebwebsite,binbwholeborbinbpart.b
b
b
b
20.bLetb
.b
a.bSketchbthebgraphbofbbf.b
b.bForbwhatbvaluesbofbxbisbfbdifferentiable?b
c.bFindbabformulabforb
.
DOWNLOADbTHEbTestbBankbforbSinglebVariablebCalculusbEarly
bbbbbbbbbbbTranscendentalsb8thbEditionbStewart
mynursytest.store
Stewartb-bCalculusb8ebETbChapterb2bFormbAb
b
b
b
b
©b2016bCengagebLearning.bAllbRightsbReserved.bMaybnotbbebscanned,bcopiedborbduplicated,bo
rbpostedbtobabpubliclybaccessiblebwebsite,binbwholeborbinbpart.b
b
b
b
1.bFindbtheblimit.b
b
b
b
b
2.bEvaluatebtheblimit.bb
b
b
b
b
3.bFindbtheblimit.bb
b
b
b
b
4.bHowbclosebtob
bdobwebhavebtobtakebxbsobthatb
b
b
b
5.bHowbclosebtob2bdobwebhavebtobtakebxbsobthatb
bisbwithinbabdistancebofb0.01bfromb13?b
b
b
6.bIfbfbandbgbarebcontinuousbfunctionsbwithb
b
b
b
7.bFindbtheblimit.b
b
b
b
b
8.bFindbtheblimit.b
b
b
b
b
9.bFindbanbequationbofbthebtangentblinebtobthebcurve.b
b
b
DOWNLOADbTHEbTestbBankbforbSinglebVariablebCalculusbEarly
bbbbbbbbbbbTranscendentalsb8thbEditionbStewart
mynursytest.store
Stewartb-bCalculusb8ebETbChapterb2bFormbAb
b
b
©b2016bCengagebLearning.bAllbRightsbReserved.bMaybnotbbebscanned,bcopiedborbduplicated,bo
rbpostedbtobabpubliclybaccessiblebwebsite,binbwholeborbinbpart.b
b
b
b
10.bFindbtheblimitbifb
b
b
b
b
b
11.bUsebthebgraphbofbthebfunctionbtobfindbeachblimit.b
b
,1
2
3
4
5
–1
–2
–3
–4
–5
x
1
2
3
4
5
–1
–2
–3
–4
–5
y
b
b
,bbb
,bbb
b
b
b
12.bCompletebthebtablebbybcomputingb
batbthebgivenbvaluesbofbx,baccuratebtobfivebdecimalbplaces.b
Usebthebresultsbtobguessbatbthebindicatedblimit,bifbitbexists,btobthreebdecimalbplaces.b
b
b
b
xb
3.9b
3.99b
3.999b
4.001b
4.01b
4.1b
b
b
b
b
b
b
b
b
b
b
13.bUsebthebprecisebdefinitionbofbablimitbtobprovebthatb
b
,b
b
14.bFindbtheblimitb
.b
b
b
15.bFindbthebnumbers,bifbany,bwherebthebfunctionb
bisbdiscontinuous.b
DOWNLOADbTHEbTestbBankbforbSinglebVariablebCalculusbEarly
bbbbbbbbbbbTranscendentalsb8thbEditionbStewart
mynursytest.store
Stewartb-bCalculusb8ebETbChapterb2bFormbAb
b
b
©b2016bCengagebLearning.bAllbRightsbReserved.bMaybnotbbebscanned,bcopiedborbduplicated,bo
rbpostedbtobabpubliclybaccessiblebwebsite,binbwholeborbinbpart.b
b
b
b
16.bFindbthebinterval(s)bwhereb
bisbcontinuous.b
b
b
17.bYoubarebgivenbthebgraphbofbbf.bFindbthebhorizontalbandbverticalbasymptotesbofbthebgraphbo
fbbf.b
b
1
2
3
4
5
6
7
–7b–6b–5b–4b–3b–2b–1
x
1
2
3
4
5
6
7
–1
–2
–3
–4
–5
–6
–7
y
, b
b
b
18.bThebgraphbshowsbthebpercentagebofbhouseholdsbinbabcertainbcitybwatchingbtelevisionbdur
ingbab24-hrbperiodbonb
abweekdayb(
bcorrespondsbtob6ba.m.).bBybcomputingbthebslopebofbthebrespectivebtangentbline,bestimatebtheb
ratebofbchangebofbthebpercentagebofbhouseholdsbwatchingbtelevisionbatba-12bp.m.bb
Notebthatb
b
b
3
dy
2
4
6
8
10b12b14b16b18b20
tb(hr)
0.075
0.15
0.225
yb(%)
b
b
b
19.bFindbthebderivativebofbthebfunctionbandbevaluateb
batbthebgivenbvaluebofbx.b
b
b
DOWNLOADbTHEbTestbBankbforbSinglebVariablebCalculusbEarly
bbbbbbbbbbbTranscendentalsb8thbEditionbStewart
mynursytest.store
Stewartb-bCalculusb8ebETbChapterb2bFormbAb
b
b
©b2016bCengagebLearning.bAllbRightsbReserved.bMaybnotbbebscanned,bcopiedborbduplicated,bo
rbpostedbtobabpubliclybaccessiblebwebsite,binbwholeborbinbpart.b
b
b
b
20.bLetb
.b
a.bSketchbthebgraphbofbbf.b
b.bForbwhatbvaluesbofbxbisbfbdifferentiable?b
c.bFindbabformulabforb
.
DOWNLOADbTHEbTestbBankbforbSinglebVariablebCalculusbEarly
bbbbbbbbbbbTranscendentalsb8thbEditionbStewart
mynursytest.store
Stewartb-bCalculusb8ebETbChapterb2bFormbAb
b
b
