Prob 3 Cec

 

Ilsfýe if críkms if kebtre` Vbm keopmýïm if sfcures qulfrf ilsfýmr ubm críkm críkm if kebtre` kebtre` pmrm vlcl`mr sl `ms herom if `es `es sfcures sfcures sf ``fbmb ``fbmb if ombfrm ombfrm kerrfk kerrfktm. tm. @m keopmýïm keopmýïm qulfr qulfrff usmr `m críkm críkm pmrm sm ofderms fb f` ilsfýe if `m herom seb fhfkvms. fhfkvms. Zmrm lblklmr lblklmr f` prekfse, `m foprfsm foprfsm rfkep lbh lbheromk eromklûb lûb senrf senrf f` f` bô bôofre ofre if heroms heroms ``fbmims ``fbmims if ombfr ombfrmm lbkerr lbkerrfkt fktmm iurmbtf iurmbtf `es ô` @m keopmýïm if sfcures prekfsm ol`fs if fstms heroms m` iïm y, ifnlie m` m`te keste if lbspfkklebmr lbspfkkleb mr kmim herom, sû`e sf rfkepl`m ubm pfqufým oufstrm rfprfsfbtmvm rfprfsfbtmvm kmim iïm

Herom if kenre if `m keopmýïm if sfcures

buofre lbspfkklebmie

oufstrm = > ; 9 6 8 3 7 < =:

buofre if heroms ``fbmims if ombfrm lbkerrfktm

;:: ;:: ;:: ;::

;:: ;:: ;:: ;:: ;:: ;:: tetm`fs ;::: ifsvlmklûb fstmbimr if `m oufstrm

=: 7 < =; 3 3 8 == => 7 888883 :.:; :.:9;;;;;; :. : .:>;;;;;; :. : .:>;;;;;; :.:> :.:;888883 :.:9 :. : .:>888883 :.;:;;;;;; :.:: :.:> 7 :.:7 = :.:= ; :.:; 9 :.:9 > :.:> 3 > = ; = 98

Km`ku`mr `m hrmkklûb cfbfrm` if ifhfktes if teims `ms oufstrms. ̆ :.:;:888888888883 Km`ku`mr `m ifsvlmklûb fstíbimr if `m oufstrm [p Km`ku`mr `es `loltfs if kebtre` lbhfrler y supfrler. @K[ @KL

:.:=3>9

:.:8998 -:.::;=;

:.:3 :.:> :.:= :.:; :.:= :.98

 

 

, fb ubm keopmýïm if fr ubm berom tfbtmvm fbie fstes rfsu`tmies.

Z @K[ :.:;:88883 :.:;:88883 :.:;:88883 :.:;:88883 :.:;:88883 :.:;:88883 :.:;:88883 :.:;:88883 :.:;:88883 :.:;:88883 :.:;:88883 :.:;:88883 :.:;:88883 :.:;:88883 :.:;:88883

m) Ifsmr Ifsmrre re``f ``f ubm crík críkmm p u`lz u`lzmbi mbie e ub lbt lbtfrv frvm`e m`e if keb kebm m n) Ilmcrmof `ms =6 oufstrms rfke`fktmims. k) µ]uì keofbtmrles pufif gmkfr senrf f` prekfse5

@KL :.:8998 :.:8998 :.:8998 :.:8998 :.:8998 :.:8998 :.:8998 :.:8998 :.:8998 :.:8998

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Blvf` if kebmbzm



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9

6

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H rmkkleb if F

3

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Mbm`lsls4 [f pufif betmr quf f` prekfse fbf ub keopertmolfbte frrmke, ym quf fbf kmonles ouy beterles lbk`use gmy oufstrms sm`fb sm`f b if `es `lolt `loltfs fs if kebtr kebtre`. e`. y sf fbf fbf quf quf lbvfsc lbvfscmr mr `m kumsm kumsm p kum` sf prevekm fste

 

 

zm if ; 9 6 8 3 7 < =:

=6 =6 =6 =6 =6 =6 =6 =6 =6 =6

66

=6:

Hrmkkleb if F Z ; :.> :.:8888883 = :.:8888888883 :.:8888883 : : :.:8888883 : : :.:8888883 : : :.:8888883 > :.=;;;;;;;;;; :.:8888883 : : :.:8888883 ; :.> :.:8888883 = :.:8888888883 :.:8888883 : : :.:8888883 =: :.88888888883

Km`ku`mr `m hrmkklûb cfbfrm` if ifhfktes if teims `ms oufstrms. ̆ :.:88888888888883 Km`ku`mr `m ifsvlmklûb fstíbimr if `m oufstrm [p :.:899= Km`ku`mr `es `loltfs if kebtre` lbhfrler y supfrler. @K[ :.= =:

:.:8 :.:;8 :.:;= :.:6 :.:; :.:=; :.:>; :.:; :.:=8 :.:6= :.:8; :.:>; :.:9 :.:;;

:.:;63>687 :.:;63>687 :.:;63>687 :.:;63>687 :.:;63>687 :.:;63>687 :.:;63>687 :.:;63>687 :.:;63>687 :.:;63>687 :.:;63>687 :.:;63>687 :.:;63>687 :.:;63>687

 

>=

;:: >>9

Km`ku`mr `m hrmkklûb cfbfrm` if ifhfktes if teims `ms oufstrms. ̆ :.:;63>68337;:; :.=< :.=68 :.=> :.>=8 :.>;8

Km`ku`mr `m hrmkklûb cfbfrm` if ifhfktes if teims `ms oufstrms. ̆ :.>:=36

Km`ku`mr `m ifsvlmklûb fstíbimr if `m oufstrm [p :.:=3:=36 :.>:=36 :.>:=36 :.>:=36 :.>:=36 :.>:=36 :.>:=36

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Km`ku`mr `es `loltfs if kebtre` lbhfrler y supfrler. @K[ :.>666< @KL :.=93: => =: =: : =; 6 8 == =7;

=>: =>: =>: =>: =>: =>: =>: =>: =>: =>: =>: =>: =>: =>: =>: =>: =>: =>: =>: =>: >9::

@K[

@ KFBY^M@ =3.73 <

@ KFBY^M@ >:.>< =:.8888883 >:.>< =:.8888883 >:.>< =:.8888883 >:.>< =:.8888883 >:.>< =:.8888883 >:.>< =:.8888883 >:.>< >:.>< >:.>< >:.>< >:.>< >:.>< >:.>< >:.>< >:.>< >:.>< >:.>< >:.>< >:.>< >:.>< >:.><

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@LBFM KFB KFBY^M@

=:.88888888883

@KL

=.:6

 

@KL =.:6 =.:6 =.:6 =.:6 =.:6 =.:6 =.:6 =.:6 =.:6 =.:6 =.:6 =.:6 =.:6 =.:6 =.:6 =.:6 =.:6 =.:6 =.:6 =.:6 =.:6

Crmke Bp >6 >: =6 =: 6 :

=

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9

6

8

3

7

ifhfktuesms il

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=: == => =; =9 =6 =8 =3 =7 =< >: >= @K[

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Fb ubm hínrlkm if mrku`es if p`íske lbyfktmie sf fbf f` pren`fom if `m rfnmnm `ms plfzms, quf fs bfkfsmrle f`lolbmr keb rftrmnmde. Keb f` prepûslte if fvm`umr `m rfm`limi mktum` y iftfktmr pesln`fs kmusms fspfklm`fs if vmrlmklûb sf ifklif lop`fofbtmr ubm kmrtm if kebtre` pmrm f` preiukte quf oís sf hmnrlkm, `es imtes entfblies fb >9 `etfs `etfs if tmomýe 6::, fb kumbte kumbte m `m kmbimi kmbimi if plfzms keb keb rfnmn sf oufstrmb m kebbumklûb4 kebbumklûb4

Buofre

Ifhfktes = > ; 9 6 8 3 7 < =: == => =; =9 =6 =8 =3 =7 =< >: >= >> >; >9

Ymomýe if oufstrm @K[ 78 6:: 3.7: =::.736 =>3.7: =::.736 =>3.7: =::.736 =>3.7: =::.736 =>3.7: =::.736 =>3.7: =::.736 =>3.7: =::.736

3;.3.7: =>3.7: =>3.7: =>3.7: =>3.7: =>3.7: =>3.7: =>3.7: =>3.7:

3;.; >9 > >6 8 >3

̆

@K[ @KL 3 8. 8.;8888883 =;. 8 6 9 < 3 6 8 3 7 9 6 => 7 =: 9 3 ; =: 8 8

 

:

8. 8.;8888883 8.;8888883 8. 8.;8888883 8. 8.;8888883 8. 8.;8888883 8. 8.;8888883 8. 8.;8888883 8. 8.;8888883 8. 8 .;8888883 8. 8 .;8888883 8. 8 .;8888883 8. 8 .;8888883 8. 8 .;8888883 8. 8 .;8888883 8.;8888883 8. 8 .;8888883 8.;8888883 8. 8 .;8888883 8. 8 .;8888883 8. 8 .;8888883 8.;8888883 8. 8 .;8888883 8. 8 .;8888883

=;. < ;: ;: 6 8 3 7 < =: == ifhfktes Kl

 

Ke`uo b I

@K[

@KL

eb4 e sf ensfrvm ubm tfbifbklm kfbtrm` if `es ifhfktes oestrmbie limi fstmn`f quf bes lbilkm quf f` prekfse fbf ub nufb pekms oufstrms quf lbilkmb oukges ifhfktes, per f` etre `mie s quf rffdmb ub buofre nmde if frrerfs.

 

Fb ubm foprfsm sf rfclstrm f` bôofre if qufdms per om` sfrvlkle. @es imtes if `ms ô`oms >6 sfombms sf oufstrmb fbsfculim (f` erifb fs per rfbc`ûb)4

Buofre

]ufdms

Ą

= > ; 9 6 8 3 7

8 > ; 9 6 8 3 7

< =: == => =; =9 =6 =8 =3 =7 =< >: >= >> >; >9 >6

< : = > ; 9 6 8 3 7 < : = > ; 9 6 ==:

m) µFs mifkumie gmkfr kmrtmm p5 Mr kmrt Mrcuof cuofbtf btf.. n kebtre`. k) Entfbcm `m prekfse fs fstmn`f5 f) pufif kebslifrmr sm

@K[ @KL 9.9 =:.876;= 9.9 =:.876;= 9.9 =:.876;= 9.9 =:.876;= 9.9 =:.876;= 9.9 =:.876;= 9.9 =:.876;= 9.9 =:.876;=

: : : : : : : :

9.9 9.9 9.9 9.9 9.9 9.9 9.9 9.9 9.9 9.9 9.9 9.9 9.9 9.9 9.9 9.9 9.9

: : : : : : : : : : : : : : : : :

=:.876;= =:.876;= =:.876;= =:.876;= =:.876;= =:.876;= =:.876;= =:.876;= =:.876;= =:.876;= =:.876;= =:.876;= =:.876;= =:.876;= =:.876;= =:.876;= =:.876;=

=> =: 7 8 9 > :

= > ; 9

 

 

ub mbí`lsls ofilmbtf ubm ) Km`ku`f `es `ïoltfs if kmrtm k y mbm`ïkf`m. i) µF` µF` blvf` if km`limi sf hmkterle5

Crmke K if ]ufdms

8 3 7 < =: == => =; =9 =6 =8 =3 =7 =< >: >= >> >; >9 >6 ]ufdms

Ą

@K[

@KL

 

Fb ubm `ïbfm if fbsmon`f e oebtmdf if pfqufýms plfzms fb tmrdftms f`fktrûblkms sf kumb km f` bôofre if ifhfktes if ilhfrfbtf pe per ofile if ubm oufstrm if =: tmrdftms. @es ifhfktes fbkebtrmies fb `ms ô`oms ;: oufstrms sf `lstmb m kebbumklûb (imtes fb erifb per rfbc`ûb).

Buofre

Ifhfktes = > ; 9 6 8 3 7 <

>7 >> >6 >= >8 > ;8 >> ;>

Ą @K[ @KL >9.9>763=9 ;68=6=< 9 8 >: >6 >< >8 >9 ;> ;= >< >9 >3 >= >3 ;= >: >>

>9.9>763=9 >9.9>763=9 >9.9>763=9 >9.9>763=9 >9.9>763=9 >9.9>763=9 >9.9>763=9 >9.9>763=9 >9.9>763=9 >9.9>763=9 >9.9>763=9 >9.9>763=9 >9.9>763=9 >9.9>763=9 >9.9>763=9 >9.9>763=9 >9.9>763=9 >9.9>763=9 >9.9>763=9 >9.9>763=9 >9.9>763=9 >9.9>763=9 >9.9>763=9

; ;; 9 ;6

> >7 8 > >9 9..9 9> >7 76 63 3= =9 9 ; ;< >6 68 8= =6 6= =< < < 78> =.3:= =.3:=8; 8;78> 78> =.3:= =.3:=8; 8;78> 78> =.3:= =.3:=8; 8;78> 78> =.3:= =.3:=8; 8;78> 78> =.3:= =.3:=8; 8;78> 78> =.3:= =.3:=8; 8;78> 78> =.3:= =.3:=8; 8;78> 78> =.3:= =.3:=8; 8;78> 78> =.3:= =.3:=8; 8;78> 78> =.3:= =.3:=8; 8;78> 78> =.3:= =.3:=8; 8;78> 78> =.3:= =.3:=8; 8;78> 78> =.3:= =.3:=8; 8;78> 78> =.3:= =.3:=8; 8;78> 78> =.3:= =.3:=8; 8;78> 78>

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