11.1-Ejercicio Analitico
July 8, 2022 | Author: Anonymous | Category: N/A
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TQ@< 46565?5=??1
VTNDCAHG 77.7 @gc`uca cg pntak`og qua suhokostrg cg dnhdg ma cg eojurg 77.4, so sgdahns qua su aeo`oak`og as ma :5 %. Bgy uk eculn ma 1=.6 h0/b ma gc`nbnc hatèco`n g 41 ¶@. Cg cèkag ma su``oðk as ukg tudarèg ma g`arn astçkmgr ma = pucjgmgs, `ïmucg =6, y ma 71 h ma cgrjn. Cg cnkjotum tntgc ma cg tudarèg ma g`arn ma 4 pucjgmgs `ïmucg =6 qua `nkstotuya cg cèkag ma mas`grjg as ma 466 h. Pupnkjg qua cg aktrgmg masma ac gchg`akghoaktn 7 as g trgvïs ma ukg astrgmg ma dnrmas `ugmrgmns, y qua cns `nmns snk astçkmgr. Cg vçcvucg astç gdoartg pnr `nhpcatn y as ma topn jcndn. Postahg ma `cgsa O
PNCQ@OÐK Cg sncu`oðk `nhoakzg `nk cg as`roturg ma cg a`ug`oðk ma cg akarjèg mac sostahg. Pa utocozg cgs supareo`oas ma cns mapðsotns `nhn puktns ma raearak`og, y sa toaka. 4
4
p 7 v p v + z 7+ 7 + b G ∔b C8 4 + z 4 + 4 y 4j y 4j @nhn p78 p486, y v7 y v4 snk gprnxohgmghakta ojugc g `arn, cg a`ug`oðk sa sohpcoeo`g y quamg gsè<
z 7+ b G ∔ b C8 z 4 Madomn g qua ac ndlatovn mac prndcahg as `gc`ucgr cg pntak`og qua sa suhokostrg g cg dnhdg, gbnrg sa rasuacva pgrg cg `grjg tntgc, b G . MOTA MO TA@@ @@OÐ OÐK K ]ACÏENKN Ahgoc
< Gv. Gv. Ac Pn Pncc Hz Hz @ Ct Ctaa 7=7=-@ @ Qrd Qrd.. Pgk Pgk Jg Jgdr droa oacc PLC PLC - COH COHG G @gcca cg ]gsg 75= ‐ Qrd Qrd @bg`rg @arrn ‐ ]rgpo`ba ]rgpo`ba - @nhgs < 67-:6==?:2 / ?0?: ?:==7446 < pr prnya`tnsF`ahsg.`nh.pa / ldgrrnkF`ahsg.`nh.pa
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TQ@< 46565?5=??1
Cg `grjg tntgc as<
b G 8 z 4∔ z 7 + b C Bgy saos `nhpnkaktas ma cg parmomg ma akarjèg. Bgjg ukg costg y as`rodg cg eðrhucg pgrg avgcugr `gmg ukg ma accgs. Cg costg mada ok`cuor cn sojuoakta. Ac sudèkmo`a s makntg cg cèkag ma su``oðk y m okmo`g cg cèkag ma mas`grjg<
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vm (pïrmomg pnr ero``oðk ak cg cèkag ma mas`grjg) 4j
C b0 8e m M
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b5 87.6
vm (pïrmomg ak cg sgcomg) 4j
Madomn g qua sa raquoara cg `grjg ma vacn`omgm ak cgs cèkags ma su``oðk n mas`grjg pgrg `gmg pïrmomg ma akarjèg, gbnrg `gc`ucghns astns vgcnras. 4
4
Madoð ndtakar v m 8 6.7: h y v m 8 4.== h, `nhn sojua< 4j 4j
W8
1= h
b
0
x
0
7b 0566 s
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6.671 h
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W 6.671 h 7 v s8 8 x ∔ 0 4 8 7.20 h / s s G s 2.470 x 76 h 4
4
v s ( 7.20 ) h86.7: h 8 4 ( ?.27 ) 4j 0
W 6.671 h 7 5.?4 v m8 Gm 8 s x 4.752 x 76∔0 h 4 8 h/s MOTA MO TA@@ @@OÐ OÐK K ]ACÏENKN Ahgoc
< Gv. Gv. Ac Pn Pncc Hz Hz @ Ct Ctaa 7=7=-@ @ Qrd Qrd.. Pgk Pgk Jg Jgdr droa oacc PLC PLC - COH COHG G @gcca cg ]gsg 75= ‐ Qrd Qrd @bg`rg @arrn ‐ ]rgpo`ba ]rgpo`ba - @nhgs < 67-:6==?:2 / ?0?: ?:==7446 < pr prnya`tnsF`ahsg.`nh.pa / ldgrrnkF`ahsg.`nh.pa
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TQ@< 46565?5=??1 4
4
v m ( 5.?4 ) h8 4.== h 8 4 ( ?.27 ) 4j Vgrg matarhokgr cgs pïrmomgs ma akarjèg pnr ero``oðk ak cgs cèkags ma su``oðk y mas`grjg, y cgs pïrmomgs haknras ak astg üctohg, sa ka`asotgk ac küharn ma Taykncms, cg rujnsomgm racgtovg y ac eg`tnr ma pgrg ero``oðk pgrgma`gmg tudarèg, `nhn ukg ac eg`tnr may ero``oðk ak cg znkg ma turducak`og `nhpcatg cg cèkag mas`grjg quagsè `nktoaka vçcvucg g`npcghoaktns. Vgrg ac gc`nbnc hatèco`n g 41 ¶@, χ 8 :2? ij/h 0 y κ 8 1.5 x 76 -= Vg.s. Maspuïs ak cg cèkag ma su``oðk, takahns.
K T8
vMχ (7.20 ) ( 6.7640 ) ( :2? ) 84.5= x 76 1 8 ∔ = κ 1.56 x 76
@nhn ac eculn as turducaktn, ac vgcnr ma e s mada avgcugrsa g pgrtor mac mogjrghg ma Hnnmy. Ak cg eojurg 2.5. Vgrg tudn ma g`arn, ϱ 8 =.5 x 76-1h. Pa as`roda
M 6.7640 8 8444= ϱ =.5 x 76∔1 ∔1
K T84.5= x 76
Vnr tgktn, e s 8 6.672 Ak cg cèkag ma mas`grjg, takahns
K T8
vMχ ( 5.?4 ) ( 6.6141 ) ( :2? ) 8 81.74 x 761 ∔ = κ 1.56 x 76
Asta eculn tghdoïk as turducaktn. Gc avgcugr ac eg`tnr ma ero``oðk e m , quamg.
M 6.6141 8 877=7 ϱ =.5 76∔1 x K T81.74 x 76
1
e m 86.646 Ma cg tgdcg 76.1 sa ak`uaktrg ak`uaktrg qua e m] 8 6.67? pgrg cg tudarèg ma mas`grjg ma 4 pucjgmgs ak cg znkg ma turducak`og `nhpcatg. Gbnrg, bgy qua rajrasgr g cns `çc`ucns ma parmomg ma akarjèg y avgcugr b7, cg pïrmomg ak cg aktrgmg, ak Kh/K n h. Ac rasuctgmn as b7 86.6? h . Vgrg ukg aktrgmg ma dnrmas `ugmrgmgs, I8 6.1 y
MOTA MO TA@@ @@OÐ OÐK K ]ACÏENKN Ahgoc
< Gv. Gv. Ac Pn Pncc Hz Hz @ Ct Ctaa 7=7=-@ @ Qrd Qrd.. Pgk Pgk Jg Jgdr droa oacc PLC PLC - COH COHG G @gcca cg ]gsg 75= ‐ Qrd Qrd @bg`rg @arrn ‐ ]rgpo`ba ]rgpo`ba - @nhgs < 67-:6==?:2 / ?0?: ?:==7446 < pr prnya`tnsF`ahsg.`nh.pa / ldgrrnkF`ahsg.`nh.pa
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TQ@< 46565?5=??1 4
vs b7 86.1 86.1 x 6.7: h 8 6.6? h 4j Gbnrg sa `gc`ucg `gc`ucg b4 86.=1 h 4
b4 ¾ e s x C x v s ¾ e s M 4 j b4 86.672 x
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71 6.7640
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6.7640
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( 6.7: ) h
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Cuajn, sa `gc`ucg b0 , cg parmomg ma akarjèg ak cg vçcvucg ma cg cèkag ma mas`grjg. Ma cns mgtns mac `gpètucn 76, cg rgzðk ma cnkjotum aquovgca aquovgcakta kta
Ca M
pgrg ukg vçcvucg ma jcndn gdoartg
pnr `nhpcatn as 0=6. Ac eg`tnr ma ero``oðk as e m] 8 6.67?. Aktnk`as, takahns< 4
vm b ¾ e mt x ¾ x 86.67? x 0=6 x 4.== h871.:5 h 0
4j
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Gbnrg sa `gc`ucg `gc`ucg b =, cg pïrmomg ma akarjèg ak cns mns `nmns g ?6. Vgrg `nmns astçkmgr g ?6¶,
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806. Ac vgcnr ma e m] 8 6.67?, ac hoshn qua sa ahpcað ak ac pgkac
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gktaronr. Vnr tgktn, takahns 4
vm b ¾ 4 e mt x ¾ x 8 4 x 6.67? x 06 x 4.== h84.:2 h =
M
4j
Gbnrg sa `gc`ucg `gc`ucg b1, cg parmomg pnr ero``oðk ak cg cèkag ma mas`grjg. Cg parmomg pnr ero``oðk ak cg cèkag ma mas`grjg as 4
C vm b1 ¾ e mt x x 8( 6.646 ) M 4 j
(
466 6.6141
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4.==
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Pojua ac `çc`ucn ma b5 , cg parmomg ak cg sgcomg.
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b5 87.6
vm 84.== h 4j
@nk @n k astn astn tarhèk tarhèkgkn gkns s ac `g `gc`u c`ucn cn ma cgs cgs pa parmo rmomg mgs s okmov okmovom omugc ugcas as ma ak akarj arjèg. èg. Gbnrg Gbnrg as pn pnsod sodca ca matarhokgr cg pïrmomg tntgc b C.
b C 8b7 + b4 + b0 + b= + b1 + b5 MOTA MO TA@@ @@OÐ OÐK K ]ACÏENKN Ahgoc
< Gv. Gv. Ac Pn Pncc Hz Hz @ Ct Ctaa 7=7=-@ @ Qrd Qrd.. Pgk Pgk Jg Jgdr droa oacc PLC PLC - COH COHG G @gcca cg ]gsg 75= ‐ Qrd Qrd @bg`rg @arrn ‐ ]rgpo`ba ]rgpo`ba - @nhgs < 67-:6==?:2 / ?0?: ?:==7446 < pr prnya`tnsF`ahsg.`nh.pa / ldgrrnkF`ahsg.`nh.pa
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b C 8( 6.6? + 6.=1 + 71.:5 + 4.:2 + 721.?+ 4.== ) h b C 846:.= h Ma cg a`ug`oðk ma cg akarjèg, cg axprasoðk pgrg cg `grjg tntgc sndra cg dnhdg as
b G 876 h + 46:.= h847:.= h Gbnrg sa `gc`ucg `gc`ucg cg pntak`og pntak`og suhokostrgmg suhokostrgmg g cg dnhdg, V G.
Vntak`og 8
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Vrok`opons jakargcas mac mosa÷n ma sostahgs ma tudarèg Gukqua cns raquarohoaktns raquarohoaktns aspa`èeo`ns aspa`èeo`ns ma uk sostahg sostahg mgmn ohpnkak ohpnkak gcjukgs ma cgs cgs `grg`tarèsto`gs ma uk sostahg ma tudarèg, cns cokaghoaktns sojuoaktas gyumgk g mosa÷gr sostahgs `nk aeo`oak`og rgznkgdca.
7. Ta`uarma qua, ma g`uarmn g`uarmn `nk cn cn qua sa astumon ak ac `gpotucn `gpotucn :, cg pntak`og pntak`og qua cg dnhdg ma uk sostahg sostahg raquoara raquoara sa `gc`ucg `gc`ucg pnr hamon ma V G 8b G ΰW .Mnkma .Mnkma b G as cg `grjg tntgc sndra sndr a cg dnhdg. Cgs parmomgs parmomgs ma akarjèg `nktrodu `nktroduyak yak hu`bn g astg `grjg tntgc, tntgc, cn qua bg`a masagdca hokohozgrcgs. 4. Mada Mada pn pnka kars rsa a gtak gtak`o `oðk ðk pgrto` pgrto`uc ucgr gr g cg praso prasoðk ðk ak cg aktr aktrgm gmg g ma ukg dnhd dnhdg9 g9 bgy bgy qua qua bg`arcg tgk acavgmg `nhn sag prç`to`n. Mada varoeo`grsa ac mosa÷n eokgc ma cg cèkag ma su su``o ``oðk ðk,, `nk ac eok ma gsaju gsajurgr rgr qua kn bgyg bgyg `gvotg`oðk ak ac puartn ma su``oðk ma cg dn dnhdg hdg,, pn pnrr hamon hamon mac `çc`ucn `çc`ucn ma cg `grjg ma su``oðk pnsotovg katg (KVPB), `nhn sa astumogrg matakomghakta matakomghakta ak ac `gp. 70. 0. Madak saca``onkgrsa saca``onkgrsa cns `nhpnkaktas `nhpnkaktas mac sostahg pgrg hokohozgr hokohozgr cgs cgs parmomgs parmomgs ma akarjèg, akarjèg, gc hosh hoshn n to toah ahpn pn qua qua sa hg hgkt ktoa oaka ka uk tghg tghg÷n ÷n eè eèso so`n `n y `n `nst stn n rgzn rgznkg kgdc dcas as ma cns cns `nhpnkaktas. =. Cg saca``oðk ma cns tghg÷ns ma tudarèg mada bg`arsa ma g`uarmn `nk cgs ra`nhakmg`onkas mgmgs ak cg sa``oðk 5.1 mac `gpotucn 5, tnhgkmn ak `uaktg ac topn ma sosta so stahg hg qu qua a sa mosa÷ mosa÷g. g. Mada Mada ahpca ahpcagrs grsa a cg eoj eojurg urg 5.4 pgrg pgrg ma matar tarhok hokgr gr cns cns tghg÷ tghg÷ns ns gprnxohgmns ma cgs cèkags ma su``oðk y mas`grjg ma sostahgs `nhukas ma trgksearak`og ma ecuomns. Vgrg tudarègs huy cgrjgs n `ugkmn bgyg qua hokohozgr cgs parmomgs ma akarjèg, bgy qua aspa`oeo`gr tghg÷ns jrgkmas. 1. Po cns tghg÷ns tghg÷ns ma tudarg tudarg saca``onk saca``onkgmns gmns moeoara moeoarak k ma cgs `nkaxonkas `nkaxonkas ma su``oðk su``oðk y mas`grjg mas`grjg ma cg dnhdg, dgstg utocozgr ramu``onkas n axpgksonkas jrgmugcas jrgmugcas ma parmomg dglg, `nhn sa moln ak ac `gpètucn 76. Vgrg hu`bns topns ma tudarèg astçk mospnkodcas `nhar`ogchakta `nhpnkaktas astçkmgr. MOTA MO TA@@ @@OÐ OÐK K ]ACÏENKN Ahgoc
< Gv. Gv. Ac Pn Pncc Hz Hz @ Ct Ctaa 7=7=-@ @ Qrd Qrd.. Pgk Pgk Jg Jgdr droa oacc PLC PLC - COH COHG G @gcca cg ]gsg 75= ‐ Qrd Qrd @bg`rg @arrn ‐ ]rgpo`ba ]rgpo`ba - @nhgs < 67-:6==?:2 / ?0?: ?:==7446 < pr prnya`tnsF`ahsg.`nh.pa / ldgrrnkF`ahsg.`nh.pa
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5. Cg cnkjotu cnkjotum m ma cgs cèkags cèkags ma su``oð su``oðk k mada sar sar tgk `nrtg `nrtg `nhn sag sag prç`to`n. prç`to`n. :. Pa ra`nhoak ra`nhoakmg mg ahpcagr ahpcagr vçcvucg vçcvucgs s ma `nktrn `nktrncc y gpgjgmn gpgjgmn ma parmomg parmomg dglg, dglg, `nhn cgs ma topn `nhpuartg n hgropnsg, g hakns qua ac mosa÷n mac sostahg raquoarg ntrgs qua astrgkjucak ac eculn. Ak asa `gsn, puamak aspa`oeo`grsa vçcvucgs ma jcndn. 2. Era`uakt Era`uaktahak ahakta ta as masagdca masagdca `ncn`gr `ncn`gr ukg vçcvucg vçcvucg ma `oarra `oarra ak `ugcquoa `ugcquoarr cgmn ma cg dnhdg, dnhdg, `nk ac eok ma parhotor qua astg sa rapgra n ratora.
@roto`g mac sostahg ma cg eojurg 77.4 gkgcozgkmn ak ac prndcahg hnmacn 77.7 Cg sncu`oðk ma prndcahgs `nhn ac gktaronr mgk gc mosa÷gmnr mac sostahg ma `or`ucg`oðk ma ecuomn vgstg okenrhg`oðk ütoc `nk cg `ugc puama avgcugr ac mosa÷n prnpuastn y tnhgr ma`osonkas rg`onkgcas, rg`onkgcas, pgrg halnrgrcn. Gquè gpco`ghns cns prok`opons prasaktgmns ak ac sostahg qua sa gkgcozð ak ac prndcahg hnmacn 77.7. Ac ndlatovn as prnpnkar vgrgs enrhgr pgrg ramosa÷gr ac sostahg, `nk ac eok ma ramu`or dgstgkta cg pntak`og qua raquoara cg dnhdg y glustgr ac mosa÷n ma cg cèkag ma su``oðk. Uaghns gcjukgs ndsarvg`onkas< 7. Cg cnkjotum ma cg cèkag ma su``oðk aktra ac prohar mapðsotn n gchg`akghoaktn gchg`akghoaktn y cg dnhdg (71 h) pgra`a sar cgrjg ak ax`asn. Pa ra`nhoakmg qua cg dnhdg sa trgscgma hçs `ar`g mac mapðsotn, ma hnmn qua cg cèkag ma su``oðk sag tgk `nrtg `nhn sag prç`to`n. 4. As masagdca `ncn`gr ukg vçcvucg ak cg cèkag ma su``oðk gktas ma cg aktrgmg g cg dnhdg, pgrg parhotor qua ïstg sa ratora n ra`odg hgktakohoaktn sok mrakgr ac mapðsotn. Mada ahpcagrsa ukg vçcvucg ma `nhpuartg, ma hnmn qua cg pïrmomg ma akarjèg sag paqua÷g murgkta cg nparg`oðk knrhgc `nk cg vçcvucg gdoartg pnr `nhpcatn. 0. Vgrg matarhokgr uk tghg÷n gprnpogmn pgrg cg cèkag ma su``oðk, `nksucta cg sa``oðk 5.1 y cg eoju eojurg rg 5. 5.4. 4. Vgrg Vgrg uk ec ecul uln n vn vncu cuhï hïtr tro` o`n n ma 1=.6 1=.6 h0/s, sa sujo ujoara ukg tuda udarèg règ ma 0 ¸‘, ¸‘, gprnxohgmghakta. Cg ma =‘ qua sa utocozð ak ac prndcahg hnmacn 77.7. as g`aptgdca y g cg vacn`omgm vacn`omg m ma 7.20 h/s ak cg cèkag ma su``oðk prnmu`a ukg `grjg ma vacn`omgm vacn`omgm huy dglg ma 6.7: h, `nk cg `nrraspnkmoakta parmomg paqua÷g pnr ero``oðk. =. Cg pïrmomg ma akarjèg ak cg cèkag ma mas`grjg ma 466 h ma cgrjn as huy acavgmg, madomn sndra tnmn g cg vacn`omgm gctg ma eculn ak cg tudarèg ma 4‘, 5.?4 h/s. Cg eojurg 5.4 sujoara uk tghg÷n pgrg cg cèkag ma mas`grjg ma 4 ¸‘ gprnxohgmghakta. Pok ahdgrjn, madomn g cg cnkjotum axtaksg, sa aspa`oeo`grç aspa`oeo`gr ç ukg tudarèg ma g`arn ma 0‘ `ïmucg =6, qua prnmu`orç ukg vacn`om vacn`omgm gm ma 0.71 h/s y ukg `grjg ma vacn`omgm ma 6.16= h. Ak `nhpgrg`oðk `nk cg `grjg ma vacn`omgm vacn`omgm nrojokgc ma 4.== h pgrg cg tudarèg ma 4‘, astn `nkstotuya `nkstotuya ukg ramu``oðk ramu``oðk ma `gso `gso `ok`n `ok`n va`as. va`as. Cg pïrmomg ma akarjèg sa ramu`orç ak enrhg gprnxohgmghakta prnpnr`onkgc. 1. Cg vçcvuc vçcvucg g ma jc jcndn ndn ak cg cèk cèkag ag ma ma mas`g s`grjg rjg mada raahpcgz raahpcgzgrs grsa a pn pnrr uk top topn n `nk hakns hakns rasostak`og.. Cg rgzðk ma cnkjotum aquovgcakta, Ca/M ma 0=6, astç aktra cg hçs gctg ma `ugcquoar topn rasostak`og ma vçcvucg. Qkg vçcvucg ma `nhpuartg gdoartg pnr `nhpcatn toaka ukg Ca/M 8 2, ¡Tamu`omg hçs ma =4 va`as!
Tasuhak ma `ghdons ak ac mosa÷n Pa prnpnkak cns `ghdons sojuoaktas<
MOTA MO TA@@ @@OÐ OÐK K ]ACÏENKN Ahgoc
< Gv. Gv. Ac Pn Pncc Hz Hz @ Ct Ctaa 7=7=-@ @ Qrd Qrd.. Pgk Pgk Jg Jgdr droa oacc PLC PLC - COH COHG G @gcca cg ]gsg 75= ‐ Qrd Qrd @bg`rg @arrn ‐ ]rgpo`ba ]rgpo`ba - @nhgs < 67-:6==?:2 / ?0?: ?:==7446 < pr prnya`tnsF`ahsg.`nh.pa / ldgrrnkF`ahsg.`nh.pa
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7. Moshokuor cg cnkjotum ma cg cèkag ma su``oðk, ma 71 h g 7.1 h. Po sa supnka qua cns mapðsotns madak parhgka`ar ak cg hoshg pnso`oðk, cns 70.1 h gmo`onkgcas ma cnkjotum sa gjrajgrgk g cg cèkag ma mas`grjg. Cn qua cn bg`a ukg cnkjotum tntgc ma 470.1 h.
4. Ak cg cèkag ma su``oðk bgy qua `ncn`gr ukg vçcvucg ma `nhpuartg gdoartg pnr `nhpcatn. 0. Ok`rahaktgr ac tghg÷n ma cg cèkag ma mas`grjg ma 4‘ g 0‘ `ïmucg =6. Aktnk`as U m 8 0.71 h/s, y cg `grjg ma vacn`omgm as ma 6.16= h.
=. Taahpcgzgr cg vçcvucg ma jcndn ak cg cèkag ma mas`grjg pnr ntrg ma `nhpuartg gdoartg pnr `nhpcatn. Tagcozgr tnmns astns `ghdons ramu`orç cg akarjèg qua mada gjrajgr cg dnhdg, ma 47:.= h g 0:.? h. Cg pntak`og suhokostrgmg g cg dnhdg moshokuorèg ma 00.4 iZ g 1.2 iZ, ¡Qkg ramu``oðk ma `gso uk eg`tnr ma 5!
MOTA MO TA@@ @@OÐ OÐK K ]ACÏENKN Ahgoc
< Gv. Gv. Ac Pn Pncc Hz Hz @ Ct Ctaa 7=7=-@ @ Qrd Qrd.. Pgk Pgk Jg Jgdr droa oacc PLC PLC - COH COHG G @gcca cg ]gsg 75= ‐ Qrd Qrd @bg`rg @arrn ‐ ]rgpo`ba ]rgpo`ba - @nhgs < 67-:6==?:2 / ?0?: ?:==7446 < pr prnya`tnsF`ahsg.`nh.pa / ldgrrnkF`ahsg.`nh.pa
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