Stewart - Calculus 8e Chapter 1 Form A
l l l l l l l
1. Findltheldomainloflthelfunction.
2. Determinelwhetherl flll isleven,lodd,lorlneither.
3. Thelgraphslofl and arelgiven.
a) Forlwhatlvalueslof is ?
b) Findlthelvalueslof and .
4. Itlmakeslsenselthatlthellargerlthelarealoflalregion,lthellargerlthelnumberloflspecieslthatlinhabitlthelregion
.lManylecologistslhavelmodeledlthelspecies-
arealrelationlwithlalpowerlfunctionland,linlparticular,lthelnumberloflspecieslSloflbatsllivinglinlcaveslinlc
entrallMexicolhaslbeenlrelatedltolthelsurfacelarealAlmeasuredlinl loflthelcaveslbylthelequation
(a) Thelcavelcalledlmissionlimpossiblelnearlpuebla,lmexico,lhaslsufacelarealofl
l.lHowlmanylspeciesloflbats lwouldlexpectltolfindlinlthatlcave?
(b) Iflyouldiscoverlthat speciesloflbatsllivelinlcavelestimatelthelarealoflthelcave.
©l2016lCengagelLearning.lAlllRightslReserved.lMaylnotlbelscanned,lcopiedlorlduplicated,lorlpostedltolalpubliclylaccessiblelwebsite,linlwholelorlinlpart.
,Stewart - Calculus 8e Chapter 1 Form A
l l l l l l l
5. Expresslthelfunctionlinlthelformlofl .
6. Thelpositionloflalcarlislgivenlbylthelvalueslinlthelfollowingltable.
Estimatelthelinstantaneouslvelocitylwhen bylaveraginglthelvelocitieslforlthelperiodsl
.
7. Considerlthelfollowinglfunction.
Determinelthelvaluesloflalforlwhichl ll exists.
8. Findlthellimit.
9. Evaluatelthellimit.
10. Findlthellimit.
©l2016lCengagelLearning.lAlllRightslReserved.lMaylnotlbelscanned,lcopiedlorlduplicated,lorlpostedltolalpubliclylaccessiblelwebsite,linlwholelorlinlpart.
,Stewart - Calculus 8e Chapter 1 Form A
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11. Evaluatelthellimit.
12. Evaluatelthellimit.
13. Evaluatelthellimit.
14. Findlalnumber suchlthatlifl ,lthenl ,lwhere .
15. Findlthelpointlatlwhichlthelgivenlfunctionlisldiscontinuous.
16. Writelanlequationlthatlexpresseslthelfactlthatlalfunctionlll flll islcontinuouslatlthelnumber .
17. Findlalfunctionlglthatlagreeslwithlll flll for andlislcontinuouslon .
18. Letl l andl . Findl
l lll .
19. Findlthellimitl .
l
20. Findlthelnumbers,liflany,lwherelthelfunction isldiscontinuous.
©l2016lCengagelLearning.lAlllRightslReserved.lMaylnotlbelscanned,lcopiedlorlduplicated,lorlpostedltolalpubliclylaccessiblelwebsite,linlwholelorlinlpart.
, Stewart - Calculus 8e Chapter 1 Form A
l l l l l l l
Answer Key
l
1.l
2.l even
3.l a)l–2,l10
b)l ,l
4.llla)
speciesl
b)l
5.
6. ft/s
7.l
8.l
9.l
10.l0l1
1.l
12.
13.
14.
15.
©l2016lCengagelLearning.lAlllRightslReserved.lMaylnotlbelscanned,lcopiedlorlduplicated,lorlpostedltolalpubliclylaccessiblelwebsite,linlwholelorlinlpart.
l l l l l l l
1. Findltheldomainloflthelfunction.
2. Determinelwhetherl flll isleven,lodd,lorlneither.
3. Thelgraphslofl and arelgiven.
a) Forlwhatlvalueslof is ?
b) Findlthelvalueslof and .
4. Itlmakeslsenselthatlthellargerlthelarealoflalregion,lthellargerlthelnumberloflspecieslthatlinhabitlthelregion
.lManylecologistslhavelmodeledlthelspecies-
arealrelationlwithlalpowerlfunctionland,linlparticular,lthelnumberloflspecieslSloflbatsllivinglinlcaveslinlc
entrallMexicolhaslbeenlrelatedltolthelsurfacelarealAlmeasuredlinl loflthelcaveslbylthelequation
(a) Thelcavelcalledlmissionlimpossiblelnearlpuebla,lmexico,lhaslsufacelarealofl
l.lHowlmanylspeciesloflbats lwouldlexpectltolfindlinlthatlcave?
(b) Iflyouldiscoverlthat speciesloflbatsllivelinlcavelestimatelthelarealoflthelcave.
©l2016lCengagelLearning.lAlllRightslReserved.lMaylnotlbelscanned,lcopiedlorlduplicated,lorlpostedltolalpubliclylaccessiblelwebsite,linlwholelorlinlpart.
,Stewart - Calculus 8e Chapter 1 Form A
l l l l l l l
5. Expresslthelfunctionlinlthelformlofl .
6. Thelpositionloflalcarlislgivenlbylthelvalueslinlthelfollowingltable.
Estimatelthelinstantaneouslvelocitylwhen bylaveraginglthelvelocitieslforlthelperiodsl
.
7. Considerlthelfollowinglfunction.
Determinelthelvaluesloflalforlwhichl ll exists.
8. Findlthellimit.
9. Evaluatelthellimit.
10. Findlthellimit.
©l2016lCengagelLearning.lAlllRightslReserved.lMaylnotlbelscanned,lcopiedlorlduplicated,lorlpostedltolalpubliclylaccessiblelwebsite,linlwholelorlinlpart.
,Stewart - Calculus 8e Chapter 1 Form A
l l l l l l l
11. Evaluatelthellimit.
12. Evaluatelthellimit.
13. Evaluatelthellimit.
14. Findlalnumber suchlthatlifl ,lthenl ,lwhere .
15. Findlthelpointlatlwhichlthelgivenlfunctionlisldiscontinuous.
16. Writelanlequationlthatlexpresseslthelfactlthatlalfunctionlll flll islcontinuouslatlthelnumber .
17. Findlalfunctionlglthatlagreeslwithlll flll for andlislcontinuouslon .
18. Letl l andl . Findl
l lll .
19. Findlthellimitl .
l
20. Findlthelnumbers,liflany,lwherelthelfunction isldiscontinuous.
©l2016lCengagelLearning.lAlllRightslReserved.lMaylnotlbelscanned,lcopiedlorlduplicated,lorlpostedltolalpubliclylaccessiblelwebsite,linlwholelorlinlpart.
, Stewart - Calculus 8e Chapter 1 Form A
l l l l l l l
Answer Key
l
1.l
2.l even
3.l a)l–2,l10
b)l ,l
4.llla)
speciesl
b)l
5.
6. ft/s
7.l
8.l
9.l
10.l0l1
1.l
12.
13.
14.
15.
©l2016lCengagelLearning.lAlllRightslReserved.lMaylnotlbelscanned,lcopiedlorlduplicated,lorlpostedltolalpubliclylaccessiblelwebsite,linlwholelorlinlpart.
