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Orientación Universidad
Orientación Universidad

convección externa forzada, Ejercicios de Transmisión de Calor

ejercicios los cuales les puede servir

Tipo: Ejercicios

2024/2025

Subido el 08/06/2025

olano-yt
olano-yt 🇦🇷

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
^\ALIGO@ J¾ 0.^\ALIGO@ J¾ 0.
@hgktg mg oatar @hgktg mg oatar h`ikgjtg ` 07>´H ciuyg h`ikgjtg ` 07>´H ciuyg p`r`igi`p`r`igi`ogjtg ` ogjtg ` uj` pi`h` pi`j` ` uj` pi`h` pi`j` ` uj` vgiahkm`m mguj` vgiahkm`m mg
< o/s. I` t< o/s. I` tgopgr`tur` supgrckgopgr`tur` supgrckhk`i mg i` pi`h` pi`j` mg >.7 hk`i mg i` pi`h` pi`j` mg >.7 o mg iajektum gs hajst`jtg g keu`io mg iajektum gs hajst`jtg g keu`i
` 7>´H. Mgtgrokjg `) gi hagckhkgjtg iah`i mg tr`jscgrgjhk` mg h`iar par hajvghhkøj ` >.< o `` 7>´H. Mgtgrokjg `) gi hagckhkgjtg iah`i mg tr`jscgrgjhk` mg h`iar par hajvghhkøj ` >.< o `
p`rtkr mgi larmg mg `t`qug y p`rtkr mgi larmg mg `t`qug y gi hagckhkgjtg praogmka mg tr`jscgrgjhkgi hagckhkgjtg praogmka mg tr`jscgrgjhk` mg h`iar par ` mg h`iar par hajvghhkøjhajvghhkøj
y l) rgpkt` y l) rgpkt` i` p`rtg `) ogmk`jtg i` i` p`rtg `) ogmk`jtg i` rgi`hkøj mg Hburhbkii y Azag (0;58).rgi`hkøj mg Hburhbkii y Azag (0;58).
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``)) II`s `s pprarappkkggmm`m`mggs s mgmgi i ``hghgkktg tg pp``r` r` oaoatatar r ` ` ii` ` tgtgopopggr`r`tutur` r` mmg g pgpgiiïhïhuui` i` mmgg
]]cc??((]]ss++ ]]
))// <<??((7>7>++07>07>))//<<??0>>0>> ¾¾ HH
saj (t`li` @-08)4saj (t`li` @-08)4
ff??>.0835>.0835 UU//o ¾ H 6 vo ¾ H 6 v ??<.>=3<.>=3 ÕÕ0>0>77 oo<< //s6^rs6^r??<5;.0<5;.0
^`r`^`r` xx??>.<>.< oo, gi jôogra mg \gyjaims gs4, gi jôogra mg \gyjaims gs4
xx?? SxSx
vv?? ((<< oo //ss ) ) ((>.<>.< oo))
<.>=3<.>=3 ÕÕ0>0>77 oo<< // ss ??0.;770.;77ÕÕ 0>0>==
gi hu`i gs ogjar qug gi jôogra mg \gyjaims hrïtkha. ^ar hajskeukgjtg, sg tkgjg ciuda i`okj`rgi hu`i gs ogjar qug gi jôogra mg \gyjaims hrïtkha. ^ar hajskeukgjtg, sg tkgjg ciuda i`okj`r
salrg gi pujtasalrg gi pujtaxx??>.<>.< oomg i` pi`h` y gi jôogra mg Jussgit gs4mg i` pi`h` y gi jôogra mg Jussgit gs4
JuJuxx??>.88<>.88<\\ ggxx
>.7>.7
^r^r00 //88?? >.88<>.88<((0.;770.;77 ÕÕ0>0>== ))>.7>.7 ((<5;.0<5;.0))00//88??8>8.838>8.83
^ar ia t`jta, ^ar ia t`jta, gi hagckhkgjtg mg tr`jscgrgjhk` mg h`iar par hajvghhkøj iah`i gs4gi hagckhkgjtg mg tr`jscgrgjhk` mg h`iar par hajvghhkøj iah`i gs4
JuJuxx?? bbxxxx
ff bbxx??JuJuxx ff
xx ?? ((8>8.838>8.83 ) ) ((>.0835>.0835 UU// o ¾ H o ¾ H
))
>.<>.< oo
bbxx??<>5.87<>5.87 UU// oo<< ¾¾ HH
^`r`^`r` II??>.7>.7 oo, gi jôogra mg \gyjaims gs4, gi jôogra mg \gyjaims gs4
II ?? SISI
vv ?? ((<< oo // ss) ) ((>.7>.7 oo))
<.>=3<.>=3ÕÕ 0>0>77 oo<< // ss
?? =.225=.225 ÕÕ0>0> ==
gi hu`i gs ogjar qug gi jôogra mg \gyjaims hrïtkha. ^ar hajskeukgjtg, sg tkgjg ciuda i`okj`rgi hu`i gs ogjar qug gi jôogra mg \gyjaims hrïtkha. ^ar hajskeukgjtg, sg tkgjg ciuda i`okj`r
salrg tam` i` pi`h` y, par gjmg, gi jôogra mg Jussgit praogmka gs4salrg tam` i` pi`h` y, par gjmg, gi jôogra mg Jussgit praogmka gs4
JuJu??>.33=>.33=\\ ggII
>.7>.7^r^r00 //88 ??>.33=>.33= (( =.225=.225ÕÕ 0>0>== ))>.7>.7((<5;.0<5;.0))00 //88??;7;.<5;7;.<5
^ar ia t`jta, gi hagckhkgjtg mg tr`jscgrgjhk` mg h`iar par hajvghhkøj praogmka gs4^ar ia t`jta, gi hagckhkgjtg mg tr`jscgrgjhk` mg h`iar par hajvghhkøj praogmka gs4
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¡Descarga convección externa forzada y más Ejercicios en PDF de Transmisión de Calor solo en Docsity!

^\ALIGO@ J¾ 0.^\ALIGO@ J¾ 0.

@hgktg mg oatar@hgktg mg oatar hikgjtg 07>´H ciuyghikgjtg 07>´H ciuyg prigiprigiogjtg ogjtg ujpihpijujpihpij ujvgiahkmm mgujvgiahkmm mg

< o/s. It< o/s. I tgopgrtur supgrckgopgrtur supgrckhki mg i pih pij mg >.7hki mg i pih pij mg >.7 o mg iajektum gs hajstjtg g keuio mg iajektum gs hajstjtg g keui

7>´H. Mgtgrokjg) gi hagckhkgjtg iahi mg trjscgrgjhkmg hiar par hajvghhkøj >.< o `` 7>´H. Mgtgrokjg) gi hagckhkgjtg iahi mg trjscgrgjhkmg hiar par hajvghhkøj >.< o

prtkr mgi larmg mgtqug yprtkr mgi larmg mg tqug y gi hagckhkgjtg praogmka mg trjscgrgjhkgi hagckhkgjtg praogmka mg trjscgrgjhkmg hiar parmg hiar par hajvghhkøjhajvghhkøj

y l) rgpkty l) rgpkt iprtg ) ogmkjtg ii prtg) ogmkjtg i rgihkøj mg Hburhbkii y Azag (0;58).rgihkøj mg Hburhbkii y Azag (0;58).

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)) II`s`s pprarappkkggmm`m`mggss mgmgiihghgkktgtg ppr`r` oaoatatarr ii`` tgtgopopggrrtuturr mmgg pgpgiiïhïhuuii mmgg

]] cc ??((]] ss++ ]] √√ ))// <<??((7>7>++07>07>))// <<??0>>0>> ¾¾ HH saj (tli @-08)4saj (tli @-08)

ff ??>.0835>.0835 UU //o ∛ ¾ H 6 vo ∛ ¾ H 6 v??<.>=3<.>=3 ÕÕ0>0>∜∜^77 oo<< //s6^rs6^r??<5;.0<5;.

^r^r xx??>.<>.< oo, gi jôogra mg \gyjaims gs4, gi jôogra mg \gyjaims gs

ℙℙxx?? SxSx

vv

?? ((<<^ oo//ss^ ))^ ((>.<>.<^ oo))

<.>=3<.>=3 ÕÕ0>0>∜∜^77 oo<< //ss

??0.;770.;77 ÕÕ 0>0>==

gi hui gs ogjar qug gi jôogra mg \gyjaims hrïtkha. ^ar hajskeukgjtg, sg tkgjg ciuda iokjrgi hui gs ogjar qug gi jôogra mg \gyjaims hrïtkha. ^ar hajskeukgjtg, sg tkgjg ciuda iokjr

salrg gi pujtasalrg gi pujta xx??>.<>.< oo mg ipihy gi jôogra mg Jussgit gs4mg i pih y gi jôogra mg Jussgit gs

JuJuxx??>.88<>.88< \ gg (^) xx^ >.7>.7^ ^r^r^00 //^88 ?? >.88<>.88<((0.;770.;77 ÕÕ0>0>==^ ))

.7>.

((<5;.0<5;.0))^00 //^88 ??8>8.838>8.

^ar ia tjta,^ar ia tjta, gi hagckhkgjtg mg trjscgrgjhk mg hiar par hajvghhkøj iahi gs4gi hagckhkgjtg mg trjscgrgjhk mg hiar par hajvghhkøj iahi gs

JuJuxx??

bb (^) xx xx ff

↜↜ bb (^) xx??

JuJu (^) xx ff xx

??

((8>8.838>8.83)) ((>.0835>.0835 UU // o ∛ ¾ Ho ∛ ¾ H ))

.<>.< oo

bb (^) xx??<>5.87<>5.87 UU (^) // oo<<^ ∛∛ ¾¾HH

^r^r II??>.7>.7oo, gi jôogra mg \gyjaims gs4, gi jôogra mg \gyjaims gs

ℙℙII??SISI

vv

?? ((<<oo//^ ss)) ((>.7>.7^ oo))

<.>=3<.>=3ÕÕ 0>0>∜∜^77 oo<<^ // ss

?? =.225=.225 ÕÕ0>0>==

gi hui gs ogjar qug gi jôogra mg \gyjaims hrïtkha. ^ar hajskeukgjtg, sg tkgjg ciuda iokjrgi hui gs ogjar qug gi jôogra mg \gyjaims hrïtkha. ^ar hajskeukgjtg, sg tkgjg ciuda iokjr

salrg tami pih y, par gjmg, gi jôogra mg Jussgit praogmka gs4salrg tami pih y, par gjmg, gi jôogra mg Jussgit praogmka gs

JuJu??>.33=>.33= \ gg >.7>.7II ^r^r^00 //^88 ??>.33=>.33= ((=.225=.225ÕÕ 0>0>== ))

.7>.

((<5;.0<5;.0 ))^00 //^88 ??;7;.<5;7;.<

^ar ia tjta, gi hagckhkgjtg mg trjscgrgjhkmg hiar par hajvghhkøj praogmka gs4^ar ia tjta, gi hagckhkgjtg mg trjscgrgjhkmg hiar par hajvghhkøj praogmka gs

JuJu?? bIbI ff

↜↜ bb?? JuJu ff II

??((^ ;7;.<5;7;.<5)) ((>.0835>.0835UU^ //^ o ∛ ¾ Ho ∛ ¾ H^ ))

.7>.7 oo

bb??<3<.<3<3<.<3 UU //oo<< ∛∛ ¾¾ HH

l)l) GopiGopigjmgjma irgia irgihkøj mg Hhkøj mg Hburhburhbkibkii y Azag (0;i y Azag (0;58) pr58) pr`` xx??>.<>.< oo rgsuit4rgsuit

JuJuxx?? >.8825>.8825^ ^r^r

00 // 88 \ gg xx

00 //<<

VV 00 ++((>.>=32>.>=32 // ^r^r ))<<//^88 __

00 // == ??^ >.8825>.8825^ ((<5;.0<5;.0))

00 // 88 ((0.;770.;77^ ÕÕ0>0>

== ))

00 // <<

VV 00 ++((>.>=32>.>=32 //<5;.0<5;.0))<<^ //^88 __

^ar hajskeukgjtg, gi hagckhkgjtg mg trjscgrgjhk mg hiar par hajvghhkøj iahi gs4^ar hajskeukgjtg, gi hagckhkgjtg mg trjscgrgjhk mg hiar par hajvghhkøj iahi gs

JuJuxx??

bb (^) xx xx ff

↜↜ bb (^) xx??

JuJu (^) xx ff xx

??

((8>;.<78>;.<7)) ((>.0835>.0835 UU // o ∛ ¾Ho ∛ ¾H ))

.<>.< oo

bb (^) xx??<00.85<00.85 UU (^) // oo<< ∛∛¾¾ HH

^r altgjgr gi hagckhkgjtg mg trjscgrgjhk mg hiar par hajvghhkøj praogmka mg tam i^raltgjgr gi hagckhkgjtg mg trjscgrgjhkmg hiar par hajvghhkøj praogmka mg tami

pih sg prahgmg ipih sg prahgmg i kjtgerhkøj mg i rgihkøjjtgs ogjhkajmkjtgerhkøj mg i rgihkøjjtgs ogjhkajm, rgsuitjma4, rgsuitjma

bb?? 00

II ∦∦ >>

II

bbxx mxmx?? HH

II ∦∦ >>

II

xx∜∜^00 //<< mxmx??<< HH

II

II^00 //<< 6majmg6majmg 44 HH ??ff >.8825>.8825^ ^r^r

00 // 88 ((SS //vv ))^00 //^ <<

VV 00 ++((>.>=32>.>=32 // ^r^r))<<^ //^88 __

00 //==

a tolkëj4a tolkëj

bb??<< ff II

>.8825>.8825 ^r^r^00 //^88 ((SISI// vv^ ))^00 //^ <<

VV 00 ++((>.>=32>.>=32 // ^r^r ))<<//^88 __

00 // == ??<<^

ff II

.8825>.8825 ^r^r^00 //^88 \ gg (^00) II^ //<< VV 00 ++ ((>.>=32>.>=32// ^r^r ))<<^ //^88 __

00 //==

\ggopizjma viargs hajahkmas sg altkgjg4\ggopizjma viargs hajahkmas sg altkgjg

bb??

<< >.0835>.0835^ UU^ //o ∛ ¾ Ho ∛ ¾ H

.7>.7 oo

.8825>.8825 ((<5;.0<5;.0))^00 //^88 ((=.225=.225 ÕÕ0>0>==^ ))^00 //<<

VV^00 ++((>.>=32>.>=32^ //<5;.0<5;.0^ ))

<< // 88 __

(^00) //==

bb??<35.87<35.87 UU // oo<< ∛∛ ¾¾ HH

^\ALIGO@ J¾ <.^\ALIGO@ J¾ <.

@krg @krg 0 to0to y <>¾Hy <>¾H ciuyg salrg iciuyg salrg i supgrckhkg supgrkar mg ujsupgrckhkg supgrkar mg uj mgiem pih pij mgmgiem pih pij mg >.7 o>.7 o

mg irea. I vgiahkmm mgi ciuda mgkrg gs 7> o/s y ipihsg ojtkgjg uj tgopgrturmg irea. I vgiahkmm mgi ciuda mgkrg gs 7> o/s y ipihsg ojtkgjg uj tgopgrtur

supgsupgrckhkrckhkii hajshajstjtg mgtjtg mg 02>02>¾H.¾H. MgtgMgtgrokjrokjgg )) gigi hagckhagckhkgjhkgjtgtg praopraogmka mggmka mg crkhhcrkhhkøj, l)køj, l) gigi

haghagckhckhkgkgjtgjtg prapraogmogmkaka mgmg trtrjscjscgrggrgjhkjhk`` mgmg hihiarar parpar hajhajvghvghhkøhkøjj yy h)h) rgprgpktkt ii prprtgtg l)l)

ogmkjtg i jiaeïmg \gyjaims oamkckhm.ogmkjtg ijiaeï mg \gyjaims oamkckhm.

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pih, l) gi hagckhkgjtg praogmka mg trjscgrgjhk mg hiar par hajvghhkøj prgi troapih, l) gi hagckhkgjtg praogmka mg trjscgrgjhk mg hiar par hajvghhkøj prgi troa

higjtma y h) irzøj mg trjscgrgjhk mg hiar prgi troa higjtma par ujkmm mghigjtma y h) i rzøj mg trjscgrgjhkmg hiar pr gi troa higjtma par ujkmm mg

jhba mg i pih.jhba mg i pih.

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)) IIss pprraappkkggmmmmggss mmggii ooggrrhhuurrkkaa iiïqïquukkmmaa iittggooppggrrttuurrmmgg ppggiiïïhhuuii mmgg ]] (^) cc ??((]] (^) ss++]] (^) √√ ))//<<??((7>7>++<7><7>))//<<??07>07>¾¾ HH (^) saj (tli @-0=)4saj (tli @-0=)

ff ??0>.>552>0>.>552> UU // o∛¾H 6vo∛¾H 6v?? 2.70=2.70= ÕÕ0>0>∜∜^22 oo<<^ // s6^rs6^r??>.>07<>.>07<

^ugsta qug^ugsta qug xx?? II??>.0>.0oo, gi jôogra mg \gyjaims gs4, gi jôogra mg \gyjaims gs

ℙℙxx?? II?? SxSx vv

??

((>.8>.8 oo // ss )) ((>.0>.0 oo))

2.70=2.70= ÕÕ0>0>∜∜^22 oo<<^ // ss

??8.7<=8.7<= ÕÕ 0>0>^77

gi hui gs ogjar qug gi jôogra mg \gyjaims hrïtkha. ^ar hajskeukgjtg, sg tkgjg ciuda iokjrgi hui gs ogjar qug gi jôogra mg \gyjaims hrïtkha. ^ar hajskeukgjtg, sg tkgjg ciuda iokjr

salrg tami pih.salrg tami pih.

Gi hagckhkgjtg iahi mg trjscgrgjhkmg hiarGi hagckhkgjtg iahi mg trjscgrgjhkmg hiar par hajvghhkøj gj gi larmgpar hajvghhkøj gj gi larmg pastgrkar mg ipihpastgrkar mg i pih

(( xx?? II??>.0>.0 oo)) haj troahaj troa kjkhki ja higjtma prciuda iokjr sg hihuihaoa skeug4kjkhki ja higjtma pr ciuda iokjr sg hihui haoa skeug

JuJuxx?? II??

JuJu (^) xx(( (^) κκ ??>> ))

VV 00 ∜∜((^ κκ// xx ))^88 //^ == __

00 // 88

majmajmgmg JuJuxx ((κκ ??>> )) sg hihuirà ogmkjtg i rgihkøj mg Hburhbkii y Azag (0;58), pugsta qugsg hihuirà ogmkjtg irgihkøj mg Hburhbkii y Azag (0;58), pugsta qug

^r^r 99 >.3>.36 gjtajhgs46 gjtajhgs

JuJuxx ((κκ ??>> ))??

.8825>.8825 ^r^r^00 //^88 \ gg (^00) xx^ //<< VV 00 ++((>.>=32>.>=32 // ^r^r ))<<^ //^88 __

00 // == ??^

.8825>.8825 ((>.>07<>.>07< ))^00 //^88 ((8.7<=8.7<= ÕÕ0>0>^77 ))

00 //<<

VV 00 ++((>.>=32>.>=32 //>.>07<>.>07< ))<<^ //^88 __

^ar ia tjta4^ar ia tjta

JuJuxx?? II??

bb (^) xx?? II xx ff

??

JuJuxx ((κκ??>>))

VV 00 ∜∜((κκ^ // xx))^88 //^ == __

00 // 88 ↜↜ bbxx??^ II??^

ff xx

JuJuxx ((κκ??>> ))

VV 00 ∜∜((κκ^ // xx^ ))^88 //^ == __

00 // 88

bb xx?? II?? 0>.>552>0>.>552>^ UU^ //o ∛ ¾ Ho ∛ ¾ H

.0>.0 oo

85.785. VV 00 ∜∜((>.>7>.>7 oo//>.0>.0oo))^88 //== __

00 // 88

bb (^) xx?? II??70>3.<570>3.<5 UU // oo<<^ ∛∛ ¾¾HH

l)l) GiGi haghagckhckhkgkgjtg praojtg praogmgmka mgka mg trtrjsjscgrcgrgjhgjhkk mg hiar parmg hiar par hajhajvghvghhkøhkøjj pprr gi troagi troa higjtma sg hihui ogmkjtg4higjtma sg hihuiogmkjtg

bb??

<< VV 00 ∜∜((κκ // xx ))^88 //==^ __

00 ∜∜κκ // II

bb xx?? II??

<< VV 00 ∜∜((>.>7>.>7 oo//>.0>.0 oo))^88 //^ ==^ __

00 ∜∜>.>7>.>7 //>.0>.0 oo

((70>3.<570>3.<5 UU //oo<<^ ∛¾∛¾ HH ))

bb??2<2>.<72<2>.<7 UU // oo<<^ ∛∛ ¾¾HH

h)h) IrzøIrzøj mg trjsj mg trjscgrgcgrgjhkmg hjhkmg hiar priar prgi troa h`` gi troa higjigjtma par utma par ujkmjkmm mg jhba mg im mg jhba mg i pih sg hihui haoa skeug4pih sg hihui haoa skeug

PP^ ˛˛??bb @@ss ((]] ss∜∜]] √√ ))??bIwbIw((]] ss∜∜]] √√ ))↜↜ PP˛˛

ww

??bIbI((]] √√ ∜∜]] ss ))

PP^ ˛˛

ww

??((2<2>.<72<2>.<7 UU //oo<< ∛∛ ¾¾ HH ))((>.0>.0 oo∜∜>.>7>.>7 oo))^ ((<7><7>∜∜7>7>))¾¾ HH

PP^ ˛˛

ww

??2.<2>2.<2> ÕÕ0>0>==^ UU

oo

^\ALIGO@ J¾ =.^\ALIGO@ J¾ =.

Wj tula irea mgWj tula irea mg vpar mgeu, mgvpar mg eu, mg 0< ho mg mkàogtra, huy0< ho mg mkàogtra, huy tgopgrtur supgrckhktgopgrtur supgrckhki gxtgrj``i gxtgrj

gsgs mgmg ;>¾;>¾HH pspspaparr `i`ieujeuj zajzaj`l`lkgrkgrt`t` ququgg jaja gstgstàà prapratgetgekmkm hajhajtrtr iaiass vkgvkgjtajtas.s.

Mgtgrokjg irzøj mg ipërmkm mg hiar mgi tula par ujkmm mg iajektum, hujma gikrgMgtgrokjg irzøj mg ipërmkm mg hiar mgi tula par ujkmm mg iajektum, hujma gikrg

gstà 0to mg prgskøj y 5¾H y gi vkgjta sapi trvës mgi tula uj vgiahkmm mg 37gstà 0 to mg prgskøj y 5¾H y gi vkgjta sapi trvës mgi tula ujvgiahkmm mg 37

fo/b.fo/b.

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Is prapkgmmgs mgi krg iIs prapkgmmgs mgikrg i tgopgrtur mg pgiïhuimgtgopgrturmg pgiïhui mg ]]^ cc ??((]]^ ss++^ ]]^ √√ ))//^ <<??((;>;>++^55 ))//^ <<??=2.7=2.7^ ¾¾ HH

saj (tli @-07)4saj (tli @-07)

ff (^) ??>.><5<=>.><5<= UU (^) // o ∛ ¾ H 6 vo ∛ ¾ H 6 v??0.52=0.52= ÕÕ0>0>∜∜^77 oo<<^ // s6 ^ rs6 ^ r??>.5<8<>.5<8<

Gi jôogra mg \gyjaims gs4Gi jôogra mg \gyjaims gs

ℙ?ℙ?SMSM

vv

(( 3737 fofo//bb))((0>>>0>>>^ oo 00 fofo )()(^

00 bb 83>>83>> ss ))

((>.0<>.0< oo))

0.52=0.52= ÕÕ 0>0>∜∜^77 oo<<^ // ss

??0.<0=0.<0= ÕÕ0>0>^77

Gi jôogra mg Jussgit sgGi jôogra mg Jussgit sg pugmg mgtgrokjr prtkr mgpugmg mgtgrokjr prtkr mg

JuJu?? bMbMff ??>.8>.8++ >.3<>.3<^ ℙℙ

00 //<< ^r^r 00 // 88

VV 00 ++((>.=>.= // ^r^r ))<<^ //^88 __

00 //== (^) VV^00 ++((

<2<>>><2<>>> ))

77 // 22 __

== // 77

JuJu?? bMbM ff

??2;02;

Gjtajhgs gi hagckhkgjtg mg trjscgrgjhk mg hiar par hajvghhkøj praogmka qugmGjtajhgs gi hagckhkgjtg mg trjscgrgjhk mg hiar par hajvghhkøj praogmka qugm

bb?? JuJu ff

MM

?? ((2;02;0)) ((>.><770>.><770^ UU^ //o ∛ ¾ Ho ∛ ¾ H^ ))

<.<<.< oo

bb??0>.80>.8UU // o ∛ ¾Ho ∛ ¾H

[ irzøj[ irzøj mg trjscgrgjhk mg hiar bhkgi tjqug rgsuit4mg trjscgrgjhkmg hiar bhk gi tjqug rgsuit

@@ss??ώώ MM <<??ώώ ((<.<<.< oo))<<??07.<007.<0 oo<<

PP^ ˛˛?? bb @@ss ((]] √√∜∜]] ss ))??((0>.80>.8 UU // o ∛ ¾ Ho ∛ ¾ H ))^ ((07.<007.<0 oo<<^ ))((<7<7∜∜>>))^ ¾¾ HH

PP^ ˛˛?? 8 8 ;0;03.3.3 3 UU

Ckjiogjtg, i rpkmgz ihui sg cujmg gi bkgia gsCkjiogjtg, i rpkmgz ihui sg cujmg gi bkgia gs

PP^ ˛˛?? ˛oo b˛ bkckc ↜↜ oo˛˛?? PP˛˛

bbkckc

8;03.38;03.3 UU

((

0000 DD UU //ss

)()(

0>>>0>>>^00 fDfD DD ))

888.5888.5 fDfD //fefe

oo ˛˛??>.>005>.>005 fefe// ss??>.5><>.5>< fefe // okjokj

^\ALIGO@ J¾ 3.^\ALIGO@ J¾ 3.

Xg v higjtr krgi psria salrg uj ljha mg tulas mg 8 o mg irea gj gi kjtgrkar mg iasXg v higjtr krgi psria salrg uj ljha mg tulas mg 8 o mg irea gj gi kjtgrkar mg ias

huigs sg hajmgjs vpar mgeu 0>>¾H. Gi krg sgpraxkoi ljha gj i mkrghhkøjhuigs sg hajmgjs vpar mgeu 0>>¾H. Gi krg sgpraxkoi ljha gj i mkrghhkøj

pgrpgjmkhuir <>¾H y 0 to, haj uj vgiahkmm ogmk mg 7.< o/s. Gi mkàogtra gxtgrkar mgpgrpgjmkhuir <>¾H y 0 to, haj uj vgiahkmm ogmk mg 7.< o/s. Gi mkàogtra gxtgrkar mg

ias tulas gsias tulas gs mgmg 0.3 ho0.3 ho yy sgsg gjhgjhugugjtrjtrj mkspuj mkspugstgstasas gjgj carcaroo gshgshiaiajmjm`` haj psahaj psass

iajektumkji y trjsvgrsi mgiajektumkji y trjsvgrsi mg XX (^) II??XX]] ?? == hoho. Xg tkgjgj <> ckis gj i mkrghhkøj mgi ciuda haj 0>. Xg tkgjgj <> ckis gj i mkrghhkøj mgi ciuda haj 0>

tulas gj hm ujmg giis. Mgtgrokjg ) i rzøj mgtulas gj hmuj mg giis. Mgtgrokjg) irzøj mg itrjscgrgjhkmg hiar, l) ihïmmgi trjscgrgjhk mg hiar, l) i hïm mg

prgskøj trvës mgi ljha y h) i rzøj mg i hajmgjshkøj mgi vpar gj gi kjtgrkar mg iasprgskøj trvës mgi ljha y h) i rzøj mg i hajmgjshkøj mgi vpar gj gi kjtgrkar mg ias

tulas.tulas.

XAIWHKØJ4XAIWHKØJ

)) Ja sg hajaJa sg hajahg itgopghg i tgopgrturturmg sikrmg sikmmgikrg y, par hammgikrg y, par hajskejskeukgjukgjtg, itgopgtg, i tgopgrturrtur`` ogmk. Xg gvj is prapkgmmgs mgikrg i tgopgrtur ogmksupugst mgogmk. Xg gvj is prapkgmmgs mgikrg i tgopgrtur ogmksupugst mg 87¾H (ihui sg haopralrà mgspuës) y 0to haoa (tli @-07)487¾H (ihui sg haopralrà mgspuës) y 0to haoa (tli @-07)

ff ??>.><3<7>.><3<7^ UU // o∛¾H 6ιo∛¾H 6ι??0.2;70.2;7^ ÕÕ0>0>

∜∜^77 fefe// o ∛ s 6 ho ∛ s 6 h ^^^ ??0>>50>>5^ DD // fe∛¾H6^rfe∛¾H6^r??>.5<32>.5<

^r^rss?? ^r^r0>>0>>¾ H¾ H ??>.5000>.50006 π6 π??0.0=70.0=7 fefe //oo^88

@skoksoa,@skoksoa, ii mgjskmmmgjskmm mgimgi krgkrg `` ii tgopgrturtgopgrtur mgmg mokskøjmokskøj mgmg <>¾H<>¾H (pr(pr usrsgusrsg gjgj gigi

hàihuia mgi esta mg osgj i mokskøj) gshàihuia mgi esta mg os gj imokskøj) gs ππ 00 ??0.<>=0.<>= fefe//oo^88 ..

Xg mXg m MM??>.>03>.>03 oo,, XX^ II??^ XX]] ??^ >.>=>.>=^ oo^ yy SS ??7.<7.< oo// ss. ^r uj ljha mg tulas gshiajmas4. ^ruj ljha mg tulas gshiajmas

XX MM??∔∔ XX <<II^ ++((XX]] // <<))<< ??∔∔ ((>.>=>.>= oo))<< ++((>.>=>.>= oo// <<))<< ??>.>=7>.>=

((XX]] ++^ MM))//<.>=>.>=^ ++>.>03>.>03))//<.><2>.><

^ug^ugsta qugsta qug XX^ MM ::((XX]] ++^ MM))//^ <<, ivgiahkmm oàxkopugmg sgr biim ogmkjtg i gxprgskøj, ivgiahkmm oàxkopugmg sgr biim ogmkjtg i gxprgskøj

suokjkstrsuokjkstrmprm pr ljha mgljha mg tulas ikjgmas.tulas ikjgmas. Gjtajhgs, ivgiahkmm oàxkoyGjtajhgs, i vgiahkmm oàxko y gi jôogragi jôogra mgmg

\gyjaims qugmj\gyjaims qugmj

SS oàxoàx??

XX]]

XX]] ∜∜ MM

SS ?? >.>=>.>=^ oo

>.>=>.>= oo∜∜>.>03>.>03 oo

((7.<7.< oo//ss ))??2.3332.333 oo// ss

ℙℙMM ?? ππ SS^ oàxoàx^ MM

ιι

?? ((0.0=70.0=7^ fefe^ //oo

(^88) ))((2.3332.333 (^) oo (^) //ss (^) )) (( >.>03>.>03 (^) oo))

0.2;70.2;7 ÕÕ 0>0>∜∜^77 fefe //oo ∛∛ ss

Gi jôogra mg Jussgit praogmka sg mgtgrokjogmkjtg irgihkøj prapkm, haoaGi jôogra mg Jussgit praogmka sg mgtgrokj ogmkjtg i rgihkøjprapkm, haoa

JuJuMM ??>.87>.87 ((XX]] // XX II ))>.<>.< ℙℙMM^ >.3>.3 ^r^r>.83>.83 (( ^r^r // ^r^rss ))>.<7>.<

JuJuMM??>.87>.87 ((>.>=>.>= // >.>=>.>=))>.<>.<^ (( 28522852 ))>.3>.3^ ((>.5<32>.5<32))>.83>.83^ ((>.5<32>.5<32 // >.5000>.5000))>.<7>.<7??5>.255>.

HaoaHaoa JJ^ II??<><>::^0303 , gstg jôogra mg Jussgit gs pikhlig., gstg jôogra mg Jussgit gs pikhlig. Gi hagckhkgjtg mg trjscgrgjhk mgGi hagckhkgjtg mg trjscgrgjhk mg

hiar prtamas ias tulashiar pr tamas ias tulas gj gi ljha qugmgj gi ljha qugm

bb?? JuJu^ MM^ ff MM

?? ((5>.255>.25)) ((>.><3<7>.><3<7^ UU^ //^ o ∛ ¾ Ho ∛ ¾ H^ ))

.>03>.>03 oo

??003.8003.8 UU // o ∛ ¾Ho ∛ ¾H

Gi jôogra tati mg tulas gsGi jôogra tati mg tulas gs JJ^ ??^ JJ^ II ÕÕ JJ^ ]] ??<><>^ ÕÕ^ 0>0>??<>><>>. ^r ujiajektum mg tula. ^ruj iajektum mg tula II?? 88 oo,,

gi àrgsupgrckhki mg trjscgrgjhk mg hiar y gi esta mg os mg krg (gviuma gj igi àrgsupgrckhki mg trjscgrgjhk mg hiar y gi esta mg os mg krg (gviuma gj i

mokskøj) sajmokskøj) saj

@@ss?? JώMIJώMI??<>><>> ώώ ((>.>03>.>03 oo))^ (( 88 oo))??8>.038>.03 oo<<

oo ˛˛? ˛? ˛oo 00 ?? ππ 00 SS (^) (( JJ (^) ]] XX]] II))??((0.<>=0.<>= fefe (^) //oo^88 ))((7.<7.< oo//ss )) ((0>0>)) ((>.>=>.>= oo)) (( 88 oo))??5.7085.708 fefe (^) //ss

Irzøj mg itrjscgrgjhkmg hiar tolkëj sg pugmg mgtgrokjr mg ujojgroàsI rzøj mg i trjscgrgjhk mg hiar tolkëj sg pugmg mgtgrokjr mg uj ojgr oàs

skopig prtkr mgskopig prtkr mg

XAIWHKØJ4XAIWHKØJ

m)m) Ja sg hajaJa sg hajahg itgopghg i tgopgrturturmg sikrmg sikmmgikrg y, par hammgikrg y, par hajskejskeukgjukgjtg, itgopgtg, i tgopgrturrtur`` ogmk. Xg gvj is prapkgmmgs mgikrg i tgopgrtur ogmksupugst mgogmk. Xg gvj is prapkgmmgs mgikrg i tgopgrtur ogmksupugst mg <5>¾H (ihui sg haopralrà mgspuës) y 0to haoa (tli @-07)4<5>¾H (ihui sg haopralrà mgspuës) y 0to haoa (tli @-07)

ff (^) ??>.>=<8>>.>=<8> UU (^) // o ∛ ¾ H 6 ιo ∛ ¾ H 6 ι??<.28><.28> ÕÕ0>0>∜∜^77 fefe// o ∛ s 6 ho ∛ s 6 h (^) ^^ ??0>85.=0>85.= DD (^) // ffe∛e∛ ¾H 6^r¾H 6^r (^) ??>.3;=<>.3;=<

^r^rss?? ^r^r2>2> ¾¾ HH ??>.507=>.507= 6 π6 π??>.3700>.3700 fefe //oo^88

@skoksoa,@skoksoa, ii mgjskmm mgimgjskmm mgi krgkrg `` ii tgopgrtur mgtgopgrtur mg mokskøj mgmokskøj mg 8>>¾H (pr8>>¾H (pr usrsgusrsg gjgj gigi

hàihuia mgi esta mg osgj i mokskøj) gshàihuia mgi esta mg os gj imokskøj) gs ππ 00 ??>.3072>.3072 fefe// oo^88 ..

Xg mXg m MM??>.><0>.><0oo,, XX^ II??XX]] ??>.>2>.>2^ oo^ yy SS ??=.7=.7 oo//ss. Gjtajhgs ivgiahkmm oàxkoy. Gjtajhgs i vgiahkmm oàxko y gi jôogragi jôogra

mg \gyjaims lsma gj gstvgiahkmm qugmjmg \gyjaims lsma gj gst vgiahkmm qugmj

SS oàxoàx??

XX]]

XX]] ∜∜ MM

SS ?? >.>2>.>2^ oo

>.>2>.>2 oo∜∜>.><0>.><0 oo

((=.7=.7 oo//ss ))??3.0><3.0>< oo //ss

ℙℙMM??

ππ SS (^) oàxoàx MM ιι

((>.3700>.3700 fefe //oo^88 ))((3.0><3.0>< oo//ss )) ((>.><0>.><0 oo))

<.28><.28> ÕÕ0>0>∜∜^77 fefe //oo∛∛ ss

Gi jôogra mg Jussgit praogmka sg mgtgrokjogmkjtg irgihkøj prapkm, haoaGi jôogra mg Jussgit praogmka sg mgtgrokj ogmkjtg i rgihkøjprapkm, haoa

JuJuMM ??>.<5>.<5 ℙℙMM^ >.38>.38 ^r^r>.83>.83 (( ^r^r // ^r^rss ))>.<7>.<7 ??>.<5>.<5 ((<;=2<;=2 ))>.38>.38 ((>.3;=<>.3;=< ))>.83>.83 ((>.3;=<>.3;=<//>.507=>.507= ))>.<7>.<7 ??83.>=83.>=

HaoaHaoa JJ^ II??^0303 , gstg jôogra mg Jussgit gs pikhlig., gstg jôogra mg Jussgit gs pikhlig. Gi hagckhkgjtg mg trjscgrgjhk mg hiarGi hagckhkgjtg mg trjscgrgjhkmg hiar

pr tamas ias tulas gj gi ljha qugmpr tamas ias tulas gj gi ljha qugm

bb??

JuJu (^) MM ff

MM

??

((83.>=83.>=)) ((>.>=<8>>.>=<8> UU // o ∛ ¾ Ho ∛ ¾ H ))

.><0>.><0oo

??5<.35<.3 UU // o ∛ ¾ Ho ∛ ¾ H

Gi jôogra tati mg tulas gsGi jôogra tati mg tulas gs JJ^ ??^ JJ^ II ÕÕ JJ^ ]] ??^0303 ÕÕ^22 ??0<20<2. ^r ujiajektum ujktrkmg tula (. ^ruj iajektum ujktrk mg tula (

II?? 00 oo), gi àrgsupgrckhki mg trjscgrgjhk mg hiar y gi esta mg os mg krg (gviuma gj), gi àrg supgrckhki mg trjscgrgjhkmg hiar y gi esta mg osmgkrg (gviuma gj

imokskøj) sajimokskøj) saj

@@ss?? JώMIJώMI??0<20<2 ώώ ((>.><0>.><0oo)) (( 00 oo))??2.==72.==7 oo<<

oo ˛˛?? ˛oo˛ 00 ?? ππ 00 SS (( JJ ]] XX]] II))??((>.3072>.3072 fefe //oo^88 ))((=.7=.7 oo// ss )) (( 22 )) (( >.>2>.>2 oo)) (( 00 oo))??0.55=0.55= fefe // ss

Irzøj mg itrjscgrgjhkmg hiar tolkëj sg pugmg mgtgrokjr mg ujojgroàsI rzøj mg i trjscgrgjhk mg hiar tolkëj sg pugmg mgtgrokjr mg uj ojgr oàs

skopig prtkr mgskopig prtkr mg

]] (^) gg??]] (^) ss∜∜((]] (^) ss∜∜]] (^) kk ))gxpgxp((

∜∜ @@ss bb oo h ˛˛ h (^) ^^ ))

??2>2>∜∜((2>2>∜∜8>>8>>)) gxpgxp((∜∜

((0.55=0.55=)) ((0>85.=0>85.= )) ))

?? <85.33<85.33¾¾ HH

PP^ ˛˛??bb @@ss ∃∃ ]] ioio?? ˛ooh˛ h ^^ ((]] kk∜∜]] gg ))??((0.55=0.55= fefe// ss )) ((0>85.=0>85.= DD // fe∛¾Hfe∛¾H )) ((8>>8>>∜∜<85.33<85.33)) ¾¾ HH

PP^ ˛˛??0.0=50.0=5 ÕÕ 0>0>^77 UU

gg)) ^^rr`` ggsstgtg lljjhaha hhuummrrmmaa mmgg tutullaass iikkjjggmmaas,s, ggii hhaagcgckkhkhkggjtjtgg mmgg crcrkkhhhhkkøøjj

harrgharrgspajspajmkgmkgjtgjtg `` ℙℙMM ??808<808<^ yy XX^ II//^ MM??>.>2>.>2^ //>.><0>.><0??8.208.20^ gs, sgeôj ickeur 5-<5),gs, sgeôj i ckeur5-<5),

cc ??>.02>.02. @skok. @skoksoasoa,, υυ ?? 00 pr is mkspaskhkajgs humrms. Gjtajhgs ihïmmgpris mkspaskhkajgs humrms. Gjtajhgs i hïm mg

prgskøj trvës mgi ljha qugmprgskøj trvës mgi ljha qugm

∃ ^∃ ^?? JJII cυcυ

ππ SS (^) oàxoàx^ << <<

((>.3700>.3700 fefe //oo^88 ))((3.0><3.0>< oo//ss ))<< << ((^

00 JJ

00 fe∛ofe∛o//ss<<^ ))

∃ ^∃ ^??8=.;8=.; ^^

c)c) Gi hGi hiar giar gspgspghïchïckha mkha mgi egieu itu i tgogopgrpgrtuturmg 2r mg 2>¾>¾H gsH gs =0;5=0;5 DD //fe∛¾Hfe∛¾H (tli @-;).(tli @-;).

^ar ia tjta, i gigvhkøj gj i tgopgrtur mgi eu qug ciuyg par ias tulas par^ar ia tjta, i gigvhkøj gj i tgopgrtur mgi eu qug ciuyg par ias tulas par ujkmm mg iajektum gs4ujkmm mg iajektum gs

PP^ ˛˛?? ˛oo˛eu``eu hh (^) ^eu^eu ∃∃]] (^) eu``eu ↜↜ ∃∃ ]] (^) eu``eu?? PP˛˛ oo ˛˛eu``eu hh (^) ^eu^eu

?? 0.0=50.0=5^ ÕÕ0>0>

77 UU

(( 22 fefe// ss)) ((=0;5=0;5 DD // f e ∛ ¾Hf e ∛ ¾H ))

∃∃ ]] (^) eu``eu ??8.=<8.=<¾¾ HH

Jat.Jat. Itgopgrturogmk rktoëtkh mgi ciukma gsItgopgrturogmk rktoëtkh mgi ciukma gs (^) ((]]^ kk++]]^ gg ))//<<??((8>>8>>++<85.33<85.33^ ))^ ≂≂<3;<3;^ ¾¾ HH^ , ia, ia

hui gs suckhkgjtgogjtg hgrhja i viar suokma mg <5>¾H.hui gs suckhkgjtgogjtg hgrhjai viarsuokma mg <5>¾H.