Stewart - Calculus 8e Chapter 1 Form A
g g g g g g g
1. Findgthegdomaingofgthegfunction.
2. Determinegwhetherg g fg g isgeven,godd,gorgneither.
3. Theggraphsgofg and areggiven.
a) Forgwhatgvaluesgogf is ?
b) Findgthegvaluesgof and .
4. Itgmakesgsensegthatgtheglargergthegareagofgagregion,gtheglargergthegnumbergofgspeciesgthatginhabitgthegre
gion.gManygecologistsghavegmodeledgthegspecies-
areagrelationgwithgagpowergfunctiongand,gingparticular,gthegnumbergofgspeciesgSgofgbatsglivinggingcaves
gingcentralgMexicoghasgbeengrelatedgtogthegsurfacegareagAgmeasuredging
g ofgthegcavesgbygthegequation
(a) Thegcavegcalledgmissiongimpossiblegneargpuebla,gmexico,ghasgsufacegareagofg
g.gHowgmanygspeciesgofgbatsgwouldgexpectgtogfindgingthatgcave?
(b) Ifgyougdiscovergthatg g speciesgofgbatsglivegingcavegestimategthegareagofgthegcave.
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part.
,Stewart - Calculus 8e Chapter 1 Form A
g g g g g g g
5. Expressgthegfunctiongingthegformgofg .
6. Thegpositiongofgagcargisggivengbygthegvaluesgingthegfollowinggtable.
Estimategtheginstantaneousgvelocitygwheng g bygaveraginggthegvelocitiesgforgthegperiodsg
.
7. Considergthegfollowinggfunction.
Determinegthegvaluesgofgagforgwhichg g exists.
8. Findgtheglimit.
9. Evaluategtheglimit.
10. Findgtheglimit.
©g2016gCengagegLearning.gAllgRightsgReserved.gMaygnotgbegscanned,gcopiedgorgduplicated,gorgpostedgtogagpubliclygaccessiblegwebsite,gingwholegorging
part.
,Stewart - Calculus 8e Chapter 1 Form A
g g g g g g g
11. Evaluategtheglimit.
12. Evaluategtheglimit.
13. Evaluategtheglimit.
14. Findgagnumberg g suchgthatgifg ,gtheng ,gwhereg .
15. Findgthegpointgatgwhichgtheggivengfunctiongisgdiscontinuous.
16. Writegangequationgthatgexpressesgthegfactgthatgagfunctiong g fg g isgcontinuousgatgthegnumberg .
17. Findgagfunctiongggthatgagreesgwithg g fg g forg g andgisgcontinuousgong .
18. Letg g andg . Findg
g gg .
19. Findgtheglimitg g.
20. Findgthegnumbers,gifgany,gwheregthegfunction isgdiscontinuous.
©g2016gCengagegLearning.gAllgRightsgReserved.gMaygnotgbegscanned,gcopiedgorgduplicated,gorgpostedgtogagpubliclygaccessiblegwebsite,gingwholegorging
part.
, Stewart - Calculus 8e Chapter 1 Form A
g g g g g g g
Answer Key
g
1.
2. even
3. a)g–2,g10
b)g ,g
4. a)g
g speciesgb)g
5.
6. g ft/s
7.
8.
9.
10. 0
11.
12.
13.
14.
15.
©g2016gCengagegLearning.gAllgRightsgReserved.gMaygnotgbegscanned,gcopiedgorgduplicated,gorgpostedgtogagpubliclygaccessiblegwebsite,gingwholegorging
part.
g g g g g g g
1. Findgthegdomaingofgthegfunction.
2. Determinegwhetherg g fg g isgeven,godd,gorgneither.
3. Theggraphsgofg and areggiven.
a) Forgwhatgvaluesgogf is ?
b) Findgthegvaluesgof and .
4. Itgmakesgsensegthatgtheglargergthegareagofgagregion,gtheglargergthegnumbergofgspeciesgthatginhabitgthegre
gion.gManygecologistsghavegmodeledgthegspecies-
areagrelationgwithgagpowergfunctiongand,gingparticular,gthegnumbergofgspeciesgSgofgbatsglivinggingcaves
gingcentralgMexicoghasgbeengrelatedgtogthegsurfacegareagAgmeasuredging
g ofgthegcavesgbygthegequation
(a) Thegcavegcalledgmissiongimpossiblegneargpuebla,gmexico,ghasgsufacegareagofg
g.gHowgmanygspeciesgofgbatsgwouldgexpectgtogfindgingthatgcave?
(b) Ifgyougdiscovergthatg g speciesgofgbatsglivegingcavegestimategthegareagofgthegcave.
©g2016gCengagegLearning.gAllgRightsgReserved.gMaygnotgbegscanned,gcopiedgorgduplicated,gorgpostedgtogagpubliclygaccessiblegwebsite,gingwholegorging
part.
,Stewart - Calculus 8e Chapter 1 Form A
g g g g g g g
5. Expressgthegfunctiongingthegformgofg .
6. Thegpositiongofgagcargisggivengbygthegvaluesgingthegfollowinggtable.
Estimategtheginstantaneousgvelocitygwheng g bygaveraginggthegvelocitiesgforgthegperiodsg
.
7. Considergthegfollowinggfunction.
Determinegthegvaluesgofgagforgwhichg g exists.
8. Findgtheglimit.
9. Evaluategtheglimit.
10. Findgtheglimit.
©g2016gCengagegLearning.gAllgRightsgReserved.gMaygnotgbegscanned,gcopiedgorgduplicated,gorgpostedgtogagpubliclygaccessiblegwebsite,gingwholegorging
part.
,Stewart - Calculus 8e Chapter 1 Form A
g g g g g g g
11. Evaluategtheglimit.
12. Evaluategtheglimit.
13. Evaluategtheglimit.
14. Findgagnumberg g suchgthatgifg ,gtheng ,gwhereg .
15. Findgthegpointgatgwhichgtheggivengfunctiongisgdiscontinuous.
16. Writegangequationgthatgexpressesgthegfactgthatgagfunctiong g fg g isgcontinuousgatgthegnumberg .
17. Findgagfunctiongggthatgagreesgwithg g fg g forg g andgisgcontinuousgong .
18. Letg g andg . Findg
g gg .
19. Findgtheglimitg g.
20. Findgthegnumbers,gifgany,gwheregthegfunction isgdiscontinuous.
©g2016gCengagegLearning.gAllgRightsgReserved.gMaygnotgbegscanned,gcopiedgorgduplicated,gorgpostedgtogagpubliclygaccessiblegwebsite,gingwholegorging
part.
, Stewart - Calculus 8e Chapter 1 Form A
g g g g g g g
Answer Key
g
1.
2. even
3. a)g–2,g10
b)g ,g
4. a)g
g speciesgb)g
5.
6. g ft/s
7.
8.
9.
10. 0
11.
12.
13.
14.
15.
©g2016gCengagegLearning.gAllgRightsgReserved.gMaygnotgbegscanned,gcopiedgorgduplicated,gorgpostedgtogagpubliclygaccessiblegwebsite,gingwholegorging
part.
