Dahnke Comm360 Problems Solving Paper

8/8/2019 Dahnke Comm360 Problems Solving Paper

1/28

Suiinil Hokm2 CNILO MSNIJNIL' TSFCEOGQ KIM TF]OI]NKE QFE_]NFIQ @FS PAQ_ ;

Cnilo Msnijnil2

Tsfceogq kim Tf}oi}nke Qfeu}nfiq `fs Pkeeo~ An}~ Q}k}o _inposqn}~ (PAQ_.

Golhki Mkhijo% Eksk Effgnq% kim Bkik To}osqfi

AFGG 104 LSF_T M^IKGNAQ

@KEE 344>


2/28

CNILO MSNIJNIL' TSFCEOGQ KIM QFE_]NFIQ @FS PAQ_ 3

Kcq}ska}

]hnq soqoksah tktos hftoq }f sopno|% uimosq}kim kim ktte~ }ho afiaot} f` cnilo msnijnil

}f PAQ_q akgtuq) \o |nee ngtefso n` cnilo msnijnil nq ni `ka} k tsfceog k} PAQ_ ni

afgtksnqfi }f ik}nfike kim solnfike q}k}nq}naq) ]f lskqt ki fposkee nmok f` }ho tsfceog kim

|hoso n} q}ogq% |o |nee niaeumo kim mnqauqq soqoksah lk}hosom `sfg }ox}q soqfusaoq% kq |oee kq

solnfike kim efake ek| oi`fsaogoi}% PAQ_ tsf`oqqfsq kim PAQ_ q}umoi}q) ^fu |nee ni `ka} qoo

}hk} }ho tsfceog mfoq oxnq}% kim |o |nee |kej ~fu }hsfulh pksnfuq nmokq kq }f |hk} aki kim nq

conil mfio }f ausc }ho tsfceog) ]hnq soqoksah |kq mfio ni qoksah kim quspo~ `fsgk})


3/28


Ni}sfmua}nfi

\hoi fio nin}nkee~ }hnijq f` afeeolo% mf ~fu ngklnio pksnfuq eoksinil oxtosnoiaoq6

Toshktq tosòa}e~ ekimqaktom ek|iq qo} }f }ho ckajmsft f` okse~ 34}h

aoi}us~ csnaj ksahn}oa}uso6

^fu gfq} mo`nin}oe~ }hnij f` }ho ki}nantk}nfi kim kssnpke f` lsf|nil ut kim gk}usnil)

Hftoùee~ |hoi }hnijnil f` afeeolo ~fu mf if} ngklnio cekajfu}q% }hsf|nil ut% `nlh}nil |n}h

`snoimq% qjnttnil aekqqoq% msnijnil kim msnpnil% fs keafhfe tfnqfinil% cu} qfgo}ngoq tofteo

ngklnio uiek|ùe fs mkilosfuq ka}npn}noq }hk} gk~ qoog ùi fs oxan}nil) Cnilo msnijnil nq

quah ki ka}npn}~)

Gfq} afeeolo q}umoi}q% kq ~fu |nee sokm ùs}hos% pno| cnilo msnijnil kq k afggfi ka}npn}~

mfio `fs eonquso fs klkni% ùi) Pos~ ò| q}umoi}q jif| }ho ka}uke mo`nin}nfi f` }ho ka}npn}~ kq n}

|nee co mnqauqqom ek}os) Opoi `ks eoqq kso }hfqo |hf sokenro kim uimosq}kim }ho ùee skgn`nak}nfiq

}hk} }hons afeeolo mk~q gk~ hkpo fi }hons enpoq ni ~oksq }f afgo) Ni fsmos }f sopno| }ho tsfceog

|n}h cnilo msnijnil k} PAQ_% |o guq} `nsq} kike~ro kim uimosq}kim }ho tsfceog n}qoe ) \hk}

oxka}e~ nq cnilo msnijnil: |h~ nq n} mn`òsoi} `sfg qfanke msnijnil% kim |h~ nq n} k tsfceog6

Cnilo msnijnil nq ki otnmogna }hk} hkq cooi q|ootnil fus ik}nfi `fs {un}o qfgo }ngo)

Cnilo msnijnil nq mo`niom kq2 Msnijnil `npo fs gfso keafhfena msnijq k} k }ngo% k} eokq} fiao ni

}ho tkq} 14 mk~q (Kqqfank}om Tsoqq% 344?.) Kq mo`niom c~ ]ho Ik}nfike Niq}n}u}o fi Keafhfe

Kcuqo kim Keafhfenqg% cnilo msnijnil nq2 Mo`niom kq k tk}}osi f` keafhfe afiqugt}nfi }hk}

csnilq }ho ceffm keafhfe afiaoi}sk}nfi (CKA. eopoe }f 4)48/ fs kcfpo) ]hnq tk}}osi f` msnijnil

uqukee~ afssoqtfimq }f ? fs gfso msnijq fi k qnileo faakqnfi `fs goi fs = fs gfso msnijq fi k

qnileo faakqnfi `fs |fgoi% loioskee~ |n}hni kcfu} 3 hfusq% (344=.)

Kq ~fu aki qoo cf}h tsfòqqnfike qfusaoq hkpo qngneks ~o} mn`òsoi} mo`nin}nfiq% ~fu aki

qoo }ho qngneksn}noq) ]ho tk}}osi f` cnilo msnijnil ni cf}h mo`nin}nfiq niaeumoq oxaoqqnpo msnijnil

ni cf}h goi kim |fgoi ni qhfs} tosnfmq f` }ngo fs `so{uoi}e~ fpos k tosnfm f` }ngo)


4/28

CNILO MSNIJNIL' TSFCEOGQ KIM QFE_]NFIQ @FS PAQ_ =

]ho tsfceog |n}h oxaoqqnpo keafhfe afiqugt}nfi nq }ho cfm~q nikcnen}~ }f tsfaoqq fs

go}kcfenro ekslo {uki}n}noq f` keafhfe k} fiao) ^fus enpos aki fie~ go}kcfenro qgkee kgfui}q k}

k }ngo: }hnq so{unsoq ~fus cfm~ }f ansauek}o kim q}fso }ho sogkninil kgfui}% }huq akuqnil

msuijoiioqq) ]ho kgfui} ~fu afiqugo nq mnsoa}e~ tsftfs}nfike }f }ho ni}oiqn}~ f` qnmo o`òa}q)

Pksnfuq f}hos `ka}fsq aki afi}sncu}o }f ni}oiqn}~ f` keafhfe k`òa}q quah kq loimos% klo% |onlh}%

kgfui} f` `ffm ni ~fus q~q}og% uqo f` msulq fs tsoqasnco gomnanioq% o}a% (AMA% 344>.)

F`}oi afièna} nq tsftfqom |n}h cnilo msnijnil posquq qfanke msnijnil nq }ho sk}o k} |hnah

}ho msnijq kso afiqugom) \n}h qfanke msnijnil ~fu gk~ afiqugo }hsoo msnijq fpos hfusq% |hneo

oilklnil ni ka}npn}~ fs ok}nil) ]hoqo qef| mf|i }ho k`òa}q f` }ho keafhfe% eokpnil ~fus

bumlgoi}q ngtknsom ~oq% cu} if} afgteo}oe~ moteo}om) Qnmo o`òa}q f` cnilo msnijnil niaeumo2

gogfs~ efqq% efqq f` gf}fs ùia}nfi kim qjneeq% nikcnen}~ }f afgguinak}o% efqq f` afi}sfe f`

cf|oeq% cekajfu}q% pfgn}nil% hokmkahoq% kim opoi mok}h muo }f keafhfe tfnqfinil)

]ho cnlloq} afiaosi ik}nfi|nmo |n}h cnilo msnijnil nq }ho kgfui} f` kaanmoi}q kim

keafhfe soek}om mok}hq ni qn}uk}nfiq |hoso cnilo msnijnil faaussom) ]hoqo kaanmoi}q aki co gf}fs

pohnaeo kaanmoi}q% `keeq% OS pnqn}q% ui|ki}om qoxuke oiafui}osq% msf|inil% soque}q f` motsoqqnfi%

o}a% (AMA% 344>.)


5/28

CNILO MSNIJNIL' TSFCEOGQ KIM QFE_]NFIQ @FS PAQ_ ?

Go}hfmq

Ni fsmos }f mo`nio }ho tsfceog kq |o qoo n} hoso fi PAQ_q akgtuq% n} |kq ioaoqqks~ }f

nipfepo q}umoi}q kim tsf`oqqfsq fi }ho tsfboa}) ]ho soque}q |oso kq}fuimnil) \o afimua}om

quspo~q `fs cf}h mogflskthnaq) \n}h cf}h quspo~q% nimnpnmukeq |oso qoeoa}om k} skimfg c~

hkimnil fu} quspo~q kim }hoi qoeoa}nil k skimfg 3? `sfg }hfqo soaonpom) ]ho quspo~q niaeumom

{uoq}nfiq |n}h kiq|os ahfnaoq kq |oee kq ksokq }f oekcfsk}o fi {uoq}nfiq) \hoi k skimfg

qoeoa}nfi f` PAQ_ q}umoi}q |kq quspo~om% .) K`}os conil ni`fsgom%


6/28


hkilfposq k`òa}nil eoksinil% lskmoq kim qahffe tos`fsgkiao lf mf|i% kim `k}nluo fs neeioqq

akuqoq nimnpnmukeq }f gnqq aekqqoq (PAQ_ @kaue}~ Quspo~% 344>.)

Qfgo f` }hoqo tsfòqqfsq qhksom tosqfike oxtosnoiao |n}h cnilo msnijnil kim }hons

q}umoi}q) Qfgo soakttom fi Pnqnce~ huil'fpos q}umoi}q ni aekqq (PAQ_ @kaue}~ Quspo~%

344>.) Fienio niq}sua}fsq goi}nfiom }hk} tsfceogq |n}h cnilo msnijnil |oso guah hksmos }f

mo}osgnio% cu} gfq} enjoe~ kqqnligoi}q |fuem moaenio fs coafgo lskmukee~ ek}o (PAQ_ @kaue}~

Quspo~% 344>.)

Ni fsmos }f lo} ki fu}qnmosq ftninfi fi }hnq tsfceog k} PAQ_% |o quspo~om kim

ni}ospno|om pksnfuq ek| oi`fsaogoi} |n}hni }ho Pkeeo~ An}~ ksok) ]hnq quspo~ niaeumom }oi

{uoq}nfiq kqjom f` ;? ek| oi`fsaogoi} nimnpnmukeq) \hoi kqjom n` }ho~ coenopo cnilo msnijnil

}f co k tsfceog k} PAQ_% ;44/ soqtfimom ôq (Pkeeo~ An}~ Ek| Oi`fsaogoi} Quspo~% 344>.)

Toshktq }hnq nq ki nimnak}nfi kq }f q}umoi}q kim `kaue}~ conil }ff aefqo }f }ho qn}uk}nfi% fs conil

cnkqom kq }f }hons ogf}nfiq |n}h }ho }ftna)

]ho ek| oi`fsaogoi} keqf soqtfimom }hk} }ho~ òe} }hk} inio}ooi ~oks femq kso |hk} }ho~

hkpo |n}ioqqom }f co }ho lsok}oq} klo lsfut k`òa}om c~ cnilo msnijnil hoso k} PAQ_ (Pkeeo~

An}~ Ek| Oi`fsaogoi} Quspo~% 344>.) ]hnq gkjoq }hnq k hnlhe~ mkilosfuq% kq |oee kq neeolke%

ka}npn}~ fi akgtuq) K gkbfsn}~ f` }ho ek| oi`fsaogoi} f``nankeq keqf q}k}om }hk} }ho~ oe} }hk}

cnilo msnijnil nq gfso tsopkeoi} ni }ho gkeo q}umoi} cfm~ (Pkeeo~ An}~ Ek| Oi`fsaogoi}

Quspo~% 344>.)

]ho tfenao f``naosq keqf qhksom qfgo qnliq f` cnilo msnijnil }ho~ hkpo |n}ioqqom fi

akgtuq% quah kq2 hkuenil nimnpnmukeq }f mo}fxn`nak}nfi% hfqtn}ke oiafui}osq |n}h keafhfe

tfnqfinilq% msuij msnpnil% gnifs an}k}nfiq% o}a) (Pkeeo~ An}~ Ek| Oi`fsaogoi} Quspo~% 344>.)


7/28

CNILO MSNIJNIL' TSFCEOGQ KIM QFE_]NFIQ @FS PAQ_ .) ]hnq gfq} mo`nin}oe~ afi}sncu}oq }f }ho toos

tsoqqusoq kq goi}nfiom co`fso) Tsfòqqfsq kim ek| f``nankeq pno|om toos tsoqquso kq k }ft sokqfi

`fs cnilo msnijnil (PAQ_ @kaue}~ & Pkeeo~ An}~ Ek| Oi`fsaogoi} Quspo~q% 344>.) ]ho~ keqf

òe} }hk} q}umoi}q pno| cnilo msnijnil kq k sn}o f` tkqqklo `fs gfq} afeeolo q}umoi}q% |hnah nq if}

k hoke}h~ goqqklo (PAQ_ @kaue}~ & Pkeeo~ An}~ Ek| Oi`fsaogoi} Quspo~q% 344>.)

Qhfs} }osg o`òa}q f` cnilo msnijnil skilo lsok}e~) ]hnq aki co ki~|hoso sfg gogfs~

efqq% kixno}~% cekajfu}q% keafhfe tfnqfinil% neeioqq% }f gnem nibusnoq) Efil }osg o`òa}q kso keqf

opnmoi} }hfulh q}umoi}q gk~ if} sokenro `fs ~oksq }f afgo)


8/28


Ni k q}um~ tos`fsgom k} Mujo _inposqn}~% kmfeoqaoi} gnao |oso lnpoi ahkiaoq }f tos`fsg

ni gkroq `fs `ffm so|ksmq (]% 344


9/28

CNILO MSNIJNIL' TSFCEOGQ KIM QFE_]NFIQ @FS PAQ_ >

Mnqauqqnfi

Ni fsmos }f asok}o k qfeu}nfi }f k tsfceog% ~fu hkpo }f uimosq}kim }ho ùee qafto f` }ho

tsfceog) K`}os qosnfuq sopno| f` cnilo msnijnil tsfceogq hoso k} PAQ_% |o òoe `nsge~ }hk}

kike~rnil |hk} nq conil mfio }f |hk} aki kim qhfuem co mfio aki asok}o tf}oi}nke qfeu}nfiq fs

ngtsfpogoi}q)

Hoso k} PAQ_ gki~ }hnilq kso conil mfio }f afgck} }ho tsfceog |n}h cnilo msnijnil)

Kaafsmnil }f }ho Cnqgksaj ]sncuio% Ifs}h Mkjf}k eokmq }ho ik}nfi |n}h cnilo msnijnil

(GaThosqfi% 344>.) Coakuqo f` }hnq f` afusqo akgtuqoq kasfqq }ho q}k}o kso afgcninil o``fs}q }f

q}ft }ho tsfceog (GaThosqfi% 344>.) Kaafsmnil }f Leoi Qahgker% PAQ_ Q}umoi} K``knsq Pnao

Tsoqnmoi}% fio quah o``fs} nq mnsoa}nfi f` k AFSO Msul Ik}nfike Quspo~ }f kike~ro }ho kgfui} f`

msnijnil }kjnil tekao (tosqfike afgguinak}nfi% Ifpogcos 1% 344>.) ]hnq |kq ekq} tekaom ni

qtsnil 3448% kim n} |nee co kmgninq}osom klkni ni }ho qtsnil f` 34;4 (Qahgker% tosqfike

afgguinak}nfi% Ifpogcos 1% 344>.) ]hnq hoetq PAQ_ uimosq}kim buq} hf| }sfuceo }ho tsfceog

nq)

Kaafsmnil }f PAQ_q Akgtuq Qoausn}~ kim msul `soo tfena~% PAQ_ uimosq}kimq }hk}

keafhfe tsfceogq gk~ co q}oggnil `sfg enò }skiqn}nfiq (PAQ_% 344>% t) 8.) ]ho~ kaaot} }hk}

afuiqoenil gk~ co tks} f` k tsflskg fi }ho sfkm }f soafpos~ (PAQ_% 344>% t) 8.) Ni

afgtenkiao |n}h quah q}k}ogoi}q% PAQ_ mfoq hkpo ki fiqn}o afuiqoefs |hf gk~ gkjo soòsskeq

}f sohkcnen}k}nfi aoi}osq (PAQ_% 344>% t) 8.) Kaafsmnil }f Leoi Qahgker% hfuqnil Soqnmoiao

Kqqnq}ki}q (SK. kso keqf }skniom ni soaflinrnil }ho qnliq kim q~gt}fgq f` keafhfe kcuqo

(tosqfike afgguinak}nfi% Ifpogcos 1% 344>.)


10/28

CNILO MSNIJNIL' TSFCEOGQ KIM QFE_]NFIQ @FS PAQ_ ;4

PAQ_ keqf aki tsfpnmo gk}osnkeq utfi kqjnil kcfu} sohkcnen}k}nfi fs qospnaoq fu}qnmo f`

akgtuq quah kq afuiqoenil% aeninake kim hfqtn}ke akso% kq |oee kq `uee qospnao aoi}osq |hnah

tsfpnmo }sok}goi} qospnaoq kq |oee kq afuiqoenil)

PAQ_ keqf `so{uoi}e~ qoksahoq% `nimq kim tsfpnmoq eoksinil fttfs}uin}noq `fs q}umoi}q }f

lkni jif|eomlo kcfu} msnijnil kim n}q afiqo{uoiaoq) ]hoqo niaeumo luoq} qtokjosq% afgomnkiq%

tsflskgq% ahognake `soo ka}npn}noq fi akgtuq% o}a) Ni kmmn}nfi }f }hoqo qospnaoq tsfpnmom% PAQ_

keqf |o co soaonpnil gfio~ `sfg }ho q}k}o f` Ifs}h Mkjf}k }f nipoq} ni keafhfe snqj somuanil

ka}npn}noq) (Qahgker% tosqfike afgguinak}nfi% Ifpogcos 1% 344>.)

Ni soek}nfi }f |hk} nq conil mfio% kee }ho k`fso goi}nfiom k}}ogt}q hkpo }hons coio`n}q)

]skninil q}k`` }f soaflinro keafhfe kcuqo niqusoq soqtfiqnceo% qk`o soqnmoi}q) ]ho~ aki hoet

soqnmoi}q }hoi qooj }ho hoet }ho~ ioom) Quah hoet nq enq}om kq afuiqoenil% kmpnqnil fs aeninake

kimfs hfqtn}ke }sok}goi}) Kee kso kceo }f ikssf| mf|i }ho qafto f` }ho tsfceog |n}hni ki

nimnpnmuke kim hoet ni }ho soafpos~ tsfaoqq)

Tsfpnmnil q}umoi}q |n}h ka}npn}noq% gk}osnkeq kim luoq} qtokjosq hoetq co}}os omuak}o }ho

q}umoi}q f` }hons tf}oi}nke tsfceogq% kim tf}oi}nke afiqo{uoiaoq) Ni gk}}os f` afiqo{uoiaoq |o

aki lf `sfg |hk} nq conil mfio }f |hk} aki co mfio) ]hfulh }ho~ mf if} mnsoa} qoausn}~ fi

akgtuq% Pkeeo~ An}~ Tfenao Motks}goi} (PATM. ngtenoq k rosf }feoskiao tfena~ `fs uimosklo

msnijnil% fs afi`sfi}k}nfiq kqqfank}om |n}h msnijnil) Hoso k} PAQ_% soqnmoi}q ni }ho hfuqnil

uin}q hkpo oqqoi}nkee~ k }hsoo'q}snjo tfena~) \hoi ~fu kso akulh} fs `fuim lune}~ f` msnijnil fi

akgtuq fs keafhfe tfqqoqqnfi% }ho afiqo{uoiaoq skilo `sfg |sn}o utq% afgguin}~ qospnao%

keafhfe k|ksoioqq aekqqoq% keafhfe `nioq% kso ki~ kim kee f` }hoqo)


11/28

CNILO MSNIJNIL' TSFCEOGQ KIM QFE_]NFIQ @FS PAQ_ ;;

N` }hoqo afiqo{uoiaoq kso `fuim }f if} |fsj% }hoi |h~ if} }s~ ngteogoi}nil k rosf

}feoskiao tfena~ quah kq }ho PATM% fs toshktq gkjnil }ho eoil}h% }ngo% `nioq% o}a) ekslos qf }hk}

q}umoi}q kso eoqq enjoe~ }f oilklo ni ka}npn}noq)

Coqnmoq asok}nil gfso ahkiaoq `fs q}umoi}q }f oilklo ni eolke kim hoke}h~ ka}npn}noq% n}

qoogq kq }hfulh |o aki fie~ qtoauek}o fi }ho o`òa}npoioqq f` tfqqnceo qfeu}nfiq) _i}ne ki~ f`

}ho k`fso goi}nfiom qfeu}nfiq aki co ngteogoi}om% |o aki} qoo }hons k` oa}) Kq k lsfut |o òoe

}ho coq} tfqqnceo fu}afgoq aki ksnqo `sfg k rosf }feoskiao tfena~% kq }hnq niq}neeq }ho nmok }hk}

msnijnil nq if} kaaot}kceo ni ki~ gkiios fi akgtuq)

]ho ft}nfi f` k rosf }feoskiao tfena~ |fuem niquso }hk} q}umoi}q kso k|kso f` keafhfe

kcuqo kim hf| }ho uinposqn}~ pno|q }hnq) ]hnq |fuem hkpo q}umoi}q conil jnajom fu} f` }ho

mfsgq n` keafhfe kcuqo }ffj tekao |n}hni akgtuq lsfuimq) \o ooe }hnq nq ioomom kim aki qfepo

}ho tsfceog c~ gkjnil oxkgteoq f` }hfqo |hf mf oilklo ni neeolke fs uihoke}h~ ka}npn}noq)

Tsfpnmnil gfso ka}npn}noq `fs }ho q}umoi}q k} eokq} lnpoq }ho q}umoi}q ft}nfiq) ]hoqo aki tsfpnmo

fu}eo}q fs oxauqoq sfg }ho toos tsoqquso sfg `snoimq) N} keqf tsfpnmoq k qkò% ùi kim hoke}h~

enòq}~eo ahfnao }hk} }ho q}umoi}q aki uqo niq}okm f` keafhfe)

Leoi Qahgker f`òsom }ho `feef|nil afggoi}q% Auscnil tsfceogq quah kq cnilo

msnijnil nq k pos~ mn``naue} }kqj }f mf) Kq k afeeolo }hoso nq fie~ qf guah |o aki mf% }hoso kso if

soke lffm qfeu}nfiq) Hoso fi }ho akgtuq }hoso kso }|f tofteo |hf sokee~ moke |n}h |fsjnil fi

keafhfe soek}om tsfceogq% Osni Jeniloicosl kim N) ]ho coq} }hnil |o aki mf nq tks}nantk}o kim

oxtosngoi} |n}h tsflskgq% }skaj mk}k% tsfgf}o opoi}q quah kq ki keafhfe k|ksoioqq |ooj%

tks}nantk}o |n}h q}k}o tsflskgq% o}a) \o aki} tsokah }f q}umoi}q }f q}ft msnijnil% |o aki

hf|opos tsfgf}o hoke}h~ kim soqtfiqnceo qfanke msnijnil2 quah kq if} lo}}nil cohnim k |hooe%

au}}nil ckaj fi afiqugt}nfi uqo% kcnmnil g~ akgtuq sueoq% o}a) ]hnq nq }ho }~to f` k}}oi}nfi


12/28


PAQ_ aki lo} fu} }hoso (tosqfike afgguinak}nfi% Ifpogcos 1% 344>.) Aeokse~ PAQ_ q}sulleoq

|n}h cnilo msnijnil) Hf|opos% n} nq ngtfs}ki} }f if}o }hk} kmmsoqqnil }ho tsfceog nq afgteox kim

so{unsoq k lsok} moke fi opos~fioq cohke` }f somuao cnilo msnijnil |n}hni }ho akgtuq)

Qfusaoq f` Fu}sokah)

So`os }f kttoimnaoq)

Ka}nfi Teki)

So`os }f kttoimnaoq)


13/28


Soòsoiaoq

Kqqfank}om Tsoqq% ]ho (Gksah ;=% 344?.) Cnilo msnijnil sokahoq moot kasfqq _)Q) Ifs}h Mkjf}k%

`fs fio% nq }s~nil }f afui}os aue}uske kaaot}kiao) GQICA) Soaonpom fi Ifpogcos ;3%

344> `sfg h}}t2|||)gqica)gqi)afgnm `sfg h}}t2|||)io|qmk~)afglski}'

}kslo}om'k}uimosklo'msnijnil'fi'im'akgtuqoq';);1>08=1

K}eki}k Bfusike Afiq}n}u}nfi) (Ifpogcos .)Cnilo msnijnil tu}q }ho cskni% kim enò n}qoe` k}

snqj) So}snopom `sfg2h}}t2|||)kba)afghoke}hafi}oi}qhksomku}fhoke}hio|qkeak

03>144)h}ge)

Aoi}osq `fs Mnqokqo Afi}sfe kim Tsopoi}nfi (AMA.) Keafhfe'Soek}om Mnqokqo Ngtka} (KSMN.)

K}eki}k% LK2 AMA) 5h}}t2|||)ama)lfpkeafhfe`k{q)h}g!; 9 Kaaoqqom Gksah 38%

344>)

Aoi}osq `fs Mnqokqo Afi}sfe kim Tsopoi}nfi (AMA.) @o}ke keafhfe qtoa}sug mnqfsmosq) Kpknekceo

k} 5h}}t2|||)ama)lfpiacmmm`kqmnimox)h}ge 9Kaaoqqom Gksah 1;% 344>)

Motks}goi} f` Hoke}h kim Hugki Qospnaoq) (@ocsuks~ 3;% 344?.) _)Q) Quslofi Loioske Soeokqoq

Kmpnqfs~ fi Keafhfe_qo ni Tsolikia~: usloq |fgoi |hf kso tsoliki} fs |hf gk~

coafgo tsoliki} }f kcq}kni `sfg keafhfe) So}snopom `sfg2

h}}t2|||)hhq)lfpquslofiloiosketsoqqsoeokqoqql4333344?)h}ge)

Mnklifq}na kim Q}k}nq}nakeGkiuke f`Goi}ke Mnqfsmosq (MQG'NP. (344=.% =}h omn}nfi% ]ox}

Sopnqnfi) \kqhnil}fi% MA2 Kgosnaki Tq~ahnk}sna Kqqfank}nfi)

@kni% T) (Qot}ogcos ?% 344>.) Afeeolo tsoqnmoi}q }kjo fi 3;) Ahsfinaeo f` Hnlhos Omuak}nfi%

Pfe) ?? Nqquo 3) So}snopom `sfg2 h}}t2|oc)ocqafhfq})afgohfq}mo}kne6pnm73&hnm70&

qnm7ò=>0ac>'`mo>'=k4m'k


14/28

CNILO MSNIJNIL' TSFCEOGQ KIM QFE_]NFIQ @FS PAQ_ ;=

hpa1[}cLe3R[/1m/1m!mc7kth&KI71=??>0>;

Eop~% M)]): Gkeefioo% Q): Gneeos% ])S): Qgn}h% L)Q): Qtnaos% S)Q): Sfgkif% O)F): @nqhos% M)K)

Keafhfe nipfepogoi} ni cusi% qucgosqnfi% qtnike afsm% kim cskni nibusnoq) Gomnake

Qanoiao Gfin}fs344=:;4(;.2AS;% Buio 1.)IM eokmq ik}nfi ni cnilo% uimosklo msnijnil) So}snopom `sfg

h}}t2|||)cnqgksaj}sncuio)afgio|qq}k}o'kim'solnfikeks}naeoV=10=1>=3';?c;'?=1k'

k4;k'coc80k>>amk4)h}ge

Ik}nfike Niq}n}u}o f` Keafhfe Kcuqo kim Keafhfenqg (344=.) INKKK afuiane kttsfpoq mo`nin}nfi

f` cnilo msnijnil (TM@;)0Gc.INKKK Io|qeo}}os:121)

Qahgker% tosqfike afgguinak}nfi% Ifpogcos 1% 344>)

Qucq}kiao Kcuqo kim Goi}ke Hoke}h Qospnaoq Kmgninq}sk}nfi (3440.) K Afgtsohoiqnpo Teki `fs

Tsopoi}nil kim Somuanil _imosklo Msnijnil) \kqhnil}fi% MA2 Kpknekceo k}

h}}t2|||)q}ftkeafhfekcuqo)lfpgomnkuimosklomsnijniltm`uimosklost}}fafilsoqq)tm

` (TM@.)

]% C) (3444% Bue~.)Cnilo msnijnil k``oa}q cskni% gogfs~) So}snopom `sfg

h}}t2keafhfenqg)kcfu})afgaqcnilokkk4448;8k)h}g

_in}om Q}k}oq Motks}goi} f` Klsnaue}uso kim _in}om Q}k}oq Motks}goi} f` Hoke}h kim Hugki

Qospnaoq) Ni2Mno}ks~ Lunmoenioq `fs Kgosnakiq) Ahkt}os > Keafhfena Coposkloq)

\kqhnil}fi% MA2 _Q Lfposigoi} Tsni}nil F``nao: 344?% t) =1=0) Kpknekceo k}

h}}t2|||)hoke}h)lfpMNO]KS^L_NMOENIOQmlk344?mfaugoi}h}geahkt}os>)h}g)

_)Q) Motks}goi} f` Hoke}h kim Hugki Qospnaoq (344)


15/28

CNILO MSNIJNIL' TSFCEOGQ KIM QFE_]NFIQ @FS PAQ_ ;?

Pkeeo~ An}~ Q}k}o _inposqn}~ Q}umoi}q% tosqfike afgguinak}nfi% Ifp) 1% 344>)

Pkeeo~ An}~ Q}k}o _inposqn}~ Tsf`oqqfsq% tosqfike afgguinak}nfi% Ifp) 1% 344>)

PAQ_ (344>.)Msul `soo qahffe tsflskg kim akgtuq qoausn}~ ka}) Pkeeo~ An}~ Q}k}o _inposqn}~%

Pkeeo~ An}~% Ifs}h Mkjf}k) (tl) 8.) So}snopom `sfg

h}}t2|||)paqu)omumfaugoi}q`neoqmsulqoausn}~ka})tm`

\o}roe% M) (@ocsuks~ >% 344?.) Tf|os hfus efqoq bunao ni IM qoik}o) ]ho Cnqgksaj ]sncuio)

So}snopom `sfg h}}t2|||)cnqgksaj}sncuio)afgio|qq}k}o'kim'

solnfikeks}naeoV8aoa`311'c110'?m`o'8a


16/28


Kttoimnaoq

Qfusaoq f` fu}sokah)

;) Q}umoi} K``kns Mnpnqnfi2Pnao Tsoqnmoi}Leoi Qahgker' Ga@ksekim 34>) Ox}) kg';3tg G'@

Ogkne2 tk}snak)olocoslDpaqu)omu

Thfio2


17/28

CNILO MSNIJNIL' TSFCEOGQ KIM QFE_]NFIQ @FS PAQ_ ; ~oksq f` kloa) 34 ~oksq f` klom) 3; ~oksq f` klo kim femos *

8;?7 ?1/ f` PA tfenao quspo~fsq qknm (C. ;> ~oksq f` klo

0;?7=4/ f` PA tfenao qknm (A. 34 ~oksq f` Klo

;;?70)0 kim 34 ~oksq f` klo

=) \hk} jnim f` q}otq kq ki f``naos mf ~fu }kjo |hoi hkimenil tsfceogq quah kq cnilomsnijnil |n}h PAQ_ q}umoi}q6

Qhksom loioske soque}q nimnak}om }ho `feef|nilq}umoi}q lo} an}om `fs gnifs

afiqugnil% q}umoi}q guq} fc}kni k soqtfiqnceo qfcos tosqfi }f tnaj }hog ut% kim

u}nenro k rosf }feoskiao tfena~)

?) Kso cnilo msnijnil nianmoi}q fi akgtuq gfso tsopkeoi} |n}h gkeo fs `ogkeo q}umoi}q6;4;?700)0


21/28

CNILO MSNIJNIL' TSFCEOGQ KIM QFE_]NFIQ @FS PAQ_ 3;

1)1/ qknm }hk} nianmoi}q kso ni`fsgom }hsfulh tks}~ afgtekni}qefum

ifnqo afgtekni}q o}a) ;;?70)0)

\fuem ef|osnil }ho msnijnil klo }f ;8 gkjo k tfqn}npo fs iolk}npo ngtka} solksmnilcnilo msnijnil6

Loioske afggoi}q qhksom kgfil soque}qkee qknm iolk}npo% ;44/) Qfgo an}om

}hk} sokqfiq kso }hk} }ff gki~ ~fuil `fejq kso nggk}uso% msnpnil ni}fxnak}om% kim

gkjo tffs moanqnfiq% tofteo uimos }ho klo f` }|oi}~'fio kim opoi femos mf if}

sokenro hf| keafhfe o`òa}q }hog% ~fuilos qfgofio gk~ co |hoi q}ks}nil

msnijnil }ho gfso tsfceogq }ho~ oiafui}os ek}os fi kim }snajeo mfgnif o`òa}q ni

k tosqfiq enò)

;4)\hk} kso qnliq f` cnilo msnijnil ni }ho afgguin}~ fs fi }ho PAQ_ akgtuq6Loioske afggoi}q qhksom kgfil soque}q gki~ ~fuil kmue}q |hf kso sotfs}om

lfnil }f mo}fxn`nak}nfi fs hfqtn}ke q}k}nq}nake sotfs}q (|k~ }ff gki~+.% msuij

msnpnil% qox asngoq% k tosqfiq}umoi} |hf neeuq}sk}oq th~qnake o`òa}q f` msnijnil

(qeussom qtooah% q}ugcenil% o}a.% msuij msnpnil)

Quspo~ [uoq}nfiq kmgninq}osom kgfil PAQ_ Q]_MOI]Q ]uoqmk~ Ifpogcos 1sm

'@snmk~

Ifpogcos 0}h)

Teokqo Ansaeo soqtfiqoq |hoso kttenakceo

Klo2 (;8'34.2 ;4 q}umoi}q (3;'3=.2 ;? q}umoi}q (3?*.2 4 q}umoi}q

Loimos2 @ogkeo' ;3 Gkeo';1

Ox}sk Aussnaueks Akgtuq2


22/28


Qtfs}q2 ;1 Ni}skguskeq2 ;; Aeucq fs Fslkinrk}nfiq2 ;4 Pfeui}oos \fsj2 ôq2 0

3) Kso ~fu k|kso }hk} cnilo msnijnil nq aekqqn`nom kq msnijnil |n}h }ho ni}oi} f` lo}}nilni}fxnak}om% fs `fs goi2 afiqugnil `npo fs gfso msnijq ni k sf|% kim `fs |fgoi2 `fus fs

gfso msnijq ni k sf|6

If2 ;> ôq2 0

1) \fuem ~fu if| ahkilo ~fus tsopnfuq kiq|os6 If2 < ôq2 ;8

=) Mf ~fu }hnij akgtuqoq ik}nfi|nmo hkpo cnilo msnijnil tsfceogq6 If2 < ôq2 ;8

?) Mf ~fu }hnij PAQ_ hkq k cnilo msnijnil tsfceog6 If2 < ôq2 ;8

0) \hk} |fuem ~fu aekqqn`~ kq k akgtuq |nmo cnilo msnijnil tsfceog6 Teokqo co qtoan`na%NO2 kaanmoi}q% kqqkue}q% o}a)

Kaanmoi}qNibusnoq@nlh}nilTsftos}~ Mkgklo2 ;> Qoxuke Oiafui}osq2 ;3

) \h~ mf ~fu òoe tofteo cnilo msnij6Qfankenro2 ;1 @n} Ni2 < Q}soqq2 1 Toos Tsoqquso2 3

;4)Mf ~fu òoe }hk} }ho k}heo}oq fi akgtuq msnij gfso fs eoqq }hki }ho q}umoi} tftuek}nfi6\h~ fs |h~ if}6

If2 8 ôq2 ;< Fu} f` Qokqfi2 1 Gfso K}heo}oq fi Akgtuq2 ;;


23/28


Q}soqq2 3

;;)N` ~fu cnilo msnij% |h~6Toos Tsoqquso2 = Q}soqq2 0 @kgne~ Hnq}fs~2 1 Q}fsnoq2 < @n} Ni2 8

N Mfi} Jif|2 ;;

;3)Hf| gki~ }ngoq k |ooj mf ~fu msnij6(Rosf }ngoq.2= (;'3 }ngoq.2 ;3 (1'= }ngoq.2 8 (? }ngoq.2 ;

;1)N` ~fu q}ks} msnijnil mf ~fu `nim n} hksm }f q}ft% tfqqnce~ coakuqo ~fu òoe fcenlk}om%tsoqqusom% fs ~fu th~qnakee~ fs goi}kee~ aki} {un}6

If2 ;; ôq2 ;=

Quspo~ [uoq}nfiq kmgninq}osom kgfilPAQ_tsfòqqfsq ]uoqmk~ Ifpogcos 1sm'@snmk~

Ifpogcos 0}h)

Mogflskthnaq2

;3 @kaue}~ gogcosq sotenom }f }hnq quspo~)

;) Hf| afiaosiom kso ~fu kcfu} cnilo msnijnil fi afeeolo akgtuqoq6Qoposoe~ Afiaosiom 11/

Afiaosiom ?4/

Ni Mn`òsoi} 8/

If} Afiaosiom 8/

3) Hf| afiaosiom mf ~fu òoe kcfu} cnilo msnijnil fi }ho PAQ_ akgtuq6Qoposoe~ Afiaosiom 11/

Afiaosiom =3/

Ni Mn`òsoi} ;


24/28

CNILO MSNIJNIL' TSFCEOGQ KIM QFE_]NFIQ @FS PAQ_ 3=

=) Mf ~fu jif| PAQ_q tfena~ fi keafhfe6^oq 0


25/28

CNILO MSNIJNIL' TSFCEOGQ KIM QFE_]NFIQ @FS PAQ_ 3?

?) Q}umoi}q |hf msnij }ff guah gnqq fttfs}uin}noq }hk} aki iopos co soafposom

0) ôq

) N} k`òa}q }hons `fauq fi eoksinil kim }ho o`òa}q (hkilfposq% tekiinil `fs }ho iox}

msnijnil qoqqnfi. ngtka} aekqq tks}nantk}nfi)

;4) N }hnij q}umoi}q |hf msnij% oqtoankee~ cnilo msnij% k}}oim aekqq eoqq f }oi% hkpo

tffsos tos`fsgkiao }hki }hfqo |hf mf if}% hkpo ef|os qoe` oq}oog% aki mopoeft tsfceogq

|n}h motsoqqnfi% kso eoqq enjoe~ }f `ninqh afeeolo }hki q}umoi}q |hf mf if} cnilo msnij)

;;) Okah akqo nq qn}uk}nfike% motoimq fi }ho }ngnil f` }ho nianmoi}% msnijnil musnil }ho

|ooj |nee hkpo gfso kmposqo ngtka} }hki |oojoimq

;3) Cnilo msnijnil k` oa}q kee kqtoa}q f` k q}umoi},q lsf|}h kim mopoeftgoi})


26/28


8) Kq ki niq}sua}fs k} PAQ_% |hk} mf ~fu òoe ~fus mu}~ nq }f hoet q}umoi}q |hoi n} afgoq}f cnilo msnijnil6

;) \hoi kqjom% mnqauqq }ho iolk}npo ngtenak}nfiq)

3) ]kej nq buq} }kej cu} n` }hk} nq }ho fie~ kqqoqq joot }kejnil)

1) G~ mu}~ nq }f joot }hog `fauqom fi }hons omuak}om lfkeq kim n` }hons msnijnil hkcn}q fs

tk}}osiq coafgo k tsfceog }kej |n}h }hog fs soòs }hog }f afuiqoenil)

=) N kg if} quso)

?) ôq kim N mf csnil }hfqo afiaosiq }f g~ aekqqoq faakqnfikee~)

0) N` N aki mf n} kttsftsnk}oe~)

) Mf ~fu òoe PAQ_ nq mfnil opos~}hnil n} aki }f tsopoi} cnilo msnijnil6 N` if}% |hk}|fuem ~fu enjo }f qoo mfio }f ngtsfpo n}q o``fs}q6

;) If} Quso


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CNILO MSNIJNIL' TSFCEOGQ KIM QFE_]NFIQ @FS PAQ_ 3)

Dahnke Comm360 Problems Solving Paper

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