Practicas

 

  PEBZ@SQBIMI I@ ADQYM SBAM JMAPOYMI I@ AB@EABMQ @ADEDNBAMQ @ADEDNBAMQ @QAP@OM I@ @QYMIBQYBAM  WQ-3=0 @QYMIBQYBAM [MSM CBDAB@EABMQ CBDAB@EABMQ

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NMEPMO I@ [SMAYBAMQ BEYSPAABDE@Q F@E@SMO@Q<  MEY@Q i` adn`ezmr m trmcmlmr `e `o `l`rababd adrr`spdeib`et` adrr`spdeib`et` s`fue `o prdfrmnm, o`m aubimidsmn`et` âstms bestruaabde`s, oms aumo`s i`c` s`fubr QB@N[S@, pmrm qu` s`

aunpom `o dcl`tbvd i`o nbsnd qu` `s su mpr`eibzml` i` ods prbeabpbds císbads i` om @stmiîstbam. =. =.--

Oms`ejr`etmr prmatb prmatbams amsmos``stuibmet` ggma` ma`ee y s`ade `etr` `etr`fme i` mau` mau`rid rid qu` aade de i`c` `o `o prdfr prdfrmnm mnm,, y su dcl dcl`tb `tbvd vd `s odsfme adedabnb`etds br miqubrb`eid i`o `stuibd i` amim ampbtuod, ampbtuod, aumeid tdimvîm gmy dpdrtuebimi i` p` p`ibr ibr `xpobamabde`s y n`ldrmr su adnpr`esbde.

3. 3.--

Ydids Ydids ods ods aaíoa íoauod uodss `e qu` s` cms cmsme me ssus us r`spu` r`spu`stm stmss i`c`e i`c`e qu` qu`imr imr `e `e oms oms gd gdlms lms i` prmatbam. Ps` pdr od n`eds ids i`abnmo`s pmrm tdids ods beibamidr`s. beibamidr`s. @e `o amsd amsd i` eün`rds nuy p`qu`ýds trmcml` ade aumtrd d nms.

1. 1.--

@sarbc @sarbcmm ade oo`tr `trmm aomrm aomrm y ddri` ri`emi emimn` mn`et` et`.. Od bo`f bo`fbco bco`` s` amo amobjb bjbam am ade ade a`rd. a`rd. Qb usm usm adrr`atdr oîqubid d `sarbc` ade oípbz ed s` o` ma`ptme r`aomnds sdcr` om edtm dct`ebim. I`l` `spmabd i`spuâs i` amim puetd pmrm oms maomrmabde`s qu` surlme

aumeid s`m adrr`fbid d ibsautbid `e aoms`. 9.Y`efm sb`npr` m nmed `o t`xtd, sus mpuet`s i` aoms` y aumoqub`r dtrd nmt`rbmo i` adesuotm (`l`rababds met`rbdr`s, pdr `l`npod). O@M  aubi 0.aubimi mids dsmn mn`e `ett` `o `l `l``ra raba babd bd adn dnppo`td o`td.. @QYPIB@  ods ods am ampb pbtu tuod odss adrr`spdeib`et`s `e `o obcrd i` t`xtd8 `stds `stme beibamids `etr` pmr`et`sbs mo bebabd i` amim `l`rababd. Adet`st` oms pr`fuetms i` r`pmsd. Ed trmcml` i` n`ndrbm, ADEQPOY@ adetbeumn`et` `o t`xtd, sus edtms i` aoms` d aumoqub`r dtrd nmt`rbmo qu` s` o` gmym `etr`fmid. S`au`ri` qu` `o dcl`tbvd ed `s `etr`fmr `o `l`rababd g`agd, `s @QYPIBMS.

:.- I`smrrdo I`smrrdoo` o` `e jdrnm adnpo`tm adnpo`tm y ddri`e ri`emim mim td tdids ids y amim amim ued ued i` ods ods puetds puetds i`o i`o `l`rababd. Ed gmfm eb nís eb n`eds i` od qu` s` o` pbi`. 6.-

[rdaur` trmcmlmr sdod, p`rd adesuot` sus iuims, ed sbfm mi`omet` sbe ms`furmrs`

 

i` qu` gm adnpr`eibid amim adea`ptd y gm miqubrbid amim i`str`zm.

 

@L@SABABDQ [DS AM[BYPOD< AM[BYPOD B- BEYSDIPAABDE

=-= ==-33 =-1 =-1 =-9 =-9 ==-00

I`jbe I`jbebabñ babñee y adea`ptd adea`ptd f`e`rmo f`e`rmo i` @stm @stmiîstb iîstbam. am. Dtrms Dtrms mma`pa a`pabde` bde`ss ii`` om om pmomc pmomcrm. rm. Y`dr Y`drîm îm @stm @stmiî iîst stba bamm y @s @stm tmiî iîst stba bamm Mp Mpobobam amim im.. @s @stm tmiî iîst stba bamm I`sa I`sarb rbpt ptbv bvmm y @stm @stmiî iîst stba bamm Bej`r` Bej `r`ea eabmo bmo.. @l @l`np `npods ods i` @stmiî @stmiîstb stbam am Mpo Mpobam bamim< im< Cbd`s Cbd`stm tmiîs iîstba tbam, m, @st @stmi miîst îstbam bam I`ndfríjbam, `ta. @stm stmiî iîst stba bamm ` bev` v`st stbbfmab fmabñe ñe ab` ab`etîj etîjba bamm. @o nâtdi âtdidd ab`etîj etîjba badd y `o pmp` pmp`oo i` om @stmiîstbam. @tmpms i`o i`smrrdood i` uem bev`stbfmabñe `stmiîstbam. I` I`jbjbeb ebab abde de`s `s cí císb sbam ams< s< pr prdc dco` o`nm nm,, dcl` dcl`tb tbvd vds, s, pd pdco coma mabñ bñee jbeb jbebtm tm ` bejb bejbeebtm, btm, uebi uebimi mi `stmiîstbamm `o`n`etmo, `stmiîstba `o`n`etmo, amrmat`rîstbam, amrmat`rîstbam, amt`fdrîms, amt`fdrîms, dcs`rvmabñe. dcs`rvmabñe. Aomsbjbamabñe Aomsbjbamabñe i` oms amrmat`rîstbams s`füe su emturmo`zm< aumetbtmtbvms y aumobtmtbvms d mtrbcutds. Ju`e Ju`et` t`ss ii`` iimt mtds ds.. Nâ Nâtd tdid idss i` r` r`ad ado` o`aa aabñ bñee ii`` imt imtds ds.. Au Au`s `stbtbde demr mrbd bd =,9; r³ (=;;) > 77,0

[SMAYBAM E¼ == @L@SABABD F@E@SMO I@ BEJ@S@EABM

  ==.= Ptbobzmeid ods `xp`ib`et`s beibvbiumo`s beibvbiumo`s i` smoui i` ods n`edr`s i` abead mýds `e `o Mr`m i` Qmoui i` Fdbad`ag`m s` r`mobzñ ue `stuibd `etr` tdids ods ebýds r`fbstrmids `etr` ods mýds i` =22; y 3;;;. @e `st` `stuibd bet`r`sm `stuibmr `o aunpobnb`etd i`o `squ`nm i` vmauemabñe8 bet`r`sm tmncbâe adeda`r oms amrmat`rîstbams msdabmims adnd zdem i` r`sbi`eabm (urcmem y rurmo), `o befr`sd jmnbobmr, om `imi i`o ebýd, `o eün`rd i` vmauems qu` gm r`abcbid, prdj`sbñe i`o pmir`, eün`rd i` g`rnmeds g`rnmeds.. m)I`jbem om uebimi `stmiîstbam `o`n`etmo. 9=

 

c)I`jbem om pdcomabñe i` bet`râs. bet`râs. ´@s jbebtm d bejbebtm4 a)Cmsíeids` `e `o t`xtd met`rbdr, adnpo`t` `o sbfub`et` aumird. Amrmat`rîstbam

Ybpd

 TTTTTTTTTTTTTT  TTTTTTTTTTT TTT  TTTTTTTTTTT  TTTTT TTTTTTTTT TTT  TTTTTTTTTTT  TTTTT TTTTTTTTT TTT

@l. i` dcs`rvmabñe Aumobtmtbvm Ibsar`tm Adetbeum

TTTTTT TTTTTTTTTTT TTTTTTTTTT TTTTTT  T  TTTTTT TTTTTTTTTTT TTTTTTTTTT TTTTTT  T  TTTTTT TTTTTTTTTTT TTTTTTTTTT TTTTTT  T 

i) ´Adesbi`rm ust`i qu` `stm bejdrnmabñe pdirîm s`r r`ado`atmim utbobzmeid utbobzmeid ju`et`s i` bejdrnmabñe4 Lustbjbqu` su su r`spu` r`spu`stm. stm. (9 pts) `) I`jbem om gbpñt`sbs i`o bev`stbfmidr y oms gbpñt`sbs `stmibstbams, msb adnd om `stmibstbam i` pru`cm qu` s` utbobzmrbm sb s` i`s`m i`t`rnbemr sb gmy msdabmabñe `etr` `o aunpobnb`etd i`o `squ`nm y om zdem i` r`sbi`eabm. j) I`jbem om gbpñt`sbs i`o bev`stbfmidr y oms gbpñt`sbs `stmibstbams, msb adnd om `stmibstbam i` pru`cm qu` s` utbobzmrbm sb s` i`s`m i`t`rnbemr sb gmy msdabmabñe msdabmabñe `etr` `o aunpobnb`etd i`o `squ`nm y om zdem i` r`sbi`eabm. f) I` ids `l`npods adear`tds i` s`sfds qu` pdirbme pr`s`etmrs` `e `stuibd. @xpobqu`

==.3 Pem bev`stbfmidrm i`o I`pmrtmn`etd i` Qmoui i` uem Pebv`rsbimi i`s`m oo`vmr m amcd ue `stuibd `etr` om pdcomabñe i` `stuibmet`s ade `o jbe i` i`t`rnbemr su bef`st bef `stbñe bñe ibmr ibmrbm bm i` prd prdt`î t`îems ems.. M om eutrbab eutrbabdeb debstm stm o` fustmrîm fustmrîm ade ue 20% i` adejbmezm, qu` `o prdn`ibd nu`strmo r`suotmet` ed ibjb`rm `e nís i` 6 frmnds i`o qu` s` dct`eirîm sb `stuibmrm `stuibmrm m om pdcomabñe. Mi`nís, pdr su `x `xp`rb`eabm p`rb`eabm pmsmim, pmsmim, smc`` qu` smc qu` om i`svb i`svbma mabñe bñe `s `stí tíeim eimrr pdc pdcoma omabde bdemo mo i` bef bef`st `stbñe bñe i` prd prdt`î t`îem emss `stí `stí mor`i`idr 3; frmnds ibmrbds.mi`aumid pmrm `stm bev`stbfmabñe. Amoauo` `o i` tmnmýd i` nu`strm ==.1 @e ue `stu `stuibd ibd qu` pr`t`e pr`t`ei` i` i`t`rnbem i`t`rnbemrr om r`omabñe r`omabñe `etr` ab`rtm irdfm y om pr`s`eabm pr`s`eabm i` uem mednmoîm `e `ncrbde`s i` pdood s` bey`atmrde ade om irdfm abeau`etm gu`vds j`rtbobzmids j`rtbobzmids `e `o 9¼ iîm i` beaucmabñe. @e `o vbfâsbnd iîm i` beaucmab beaucmabñe ñe ods `ncrbde`s ju`rde `xmnbemids, `eadetríeids` ida` ade medrnmobimi. m)

@stb @stbn` n` om om prdp prdpdr drab abñe ñe i` i` `n `ncr crbd bde` e`ss ade ade medr medrnm nmobobim imii mo 22% 22% i` i` adej adejbm bmez ezm. m. Bet`rpr`t` `o r`suotmi r`suotmidd

c)

Ade om nbsnm adejbm jbmcbobimi ´auíetds `ncrbde`s i`c`e sdn`t`rs` mo `xp`rbn`etd sb s` qub`r` qu` om mnpobtui i`o bet`rvmod i` `stbnmabñe ed sup`r` `o =0%.4 93

 

==.9 Pe `stuibd r`omabdemid r`omabdemid ade ibj` ibj`r`et`s r`et`s mmsp`atds sp`atds `o i`o ado`st`rdo, ado`st`rdo, r`ado`atñ imtds i` `sm vmrbmco` (n`ibim `e nf/=;; io) y i`o p`sd (n`ibid `e obcrms) pmrm uem p`qu`ým nu`strm i` 2 p`rsdems smems. Ods imtds sde< [@SQDEM  =  3  1

[@QD =9: 3;0 =06

   90  :  6  7  2 m) c) a)

==:709 =01 =7= =0= =:1

ADO@QY@SDO =7= 337 =73 339022 3;= 339 ==3 331

F`e` F`e`rm rmon on`e `et` t` s` i` i`aîm aîm qu qu`` `o ebv` ebv`oo i` ado ado``st st``rd rdoo `e `e p` p`rs rsde dems ms sme smemms `s `s i` i` =67 nf/=;; io. Adnpru`cme ods imtds `sm mjbrnmabñe4. Ades Adestr truy uymm `o bbeet`rv t`rvmo modd mo 2;% 2;% i` i` ad adej ejbm bmez ezmm pmrm pmrm `o `o vmod vmodrr pd pdco coma mabd bdem emoo i`o i`o ebv`o i` ado`st`rdo. @x @xbs bstb tbrí rí r` r`om omab abñe ñe `e `etr tr`` `o p` p`sd sd y ``oo ebv` ebv`oo i` ad ado` o`st st`r `rdo do44 S`moba` om pru`cm p`rtbe`et` mo 0% i` sbfebjbameabm.

==.0 @e uem bev`stbfmabñe r`omabdemim ade om bet`rrupabñe t`nprmem i` om omatmeabm

nmt`rem s` `stuibmrde ids nu`strms8 uem jdrnmim pdr nul`r`s qu` ed gmcbme aunpobid `o p`rîdid nîebnd ma`ptmco` i` omatmeabm nmt`rem (9 n`s`s s`füe om D.N.Q) y dtrms qu` od gmcbme sdcr`pmsmid, y s` o`s adnpmrñ s`füe `o ír`m i` prda`i`eabmm ade `o sbfub`et` r`suotmid< prda`i`eab  Mr`m i` [rda`i`eabm Prcmem Surmo adea`etrmim Surmo ibsp`rsm

[`rbd [`rbdid id iu iurmet rmet`` `o qu` mnmn mnmnmetñ metñ N`eds i` 9 n`s`s 9 n`s`s d nís =01 =03 =;

==0 36 2;

Ptboba` om bejdrnmabñe met`rbdr `j`atumeid om pru`cm `stmiîstbam qu` o` p`rnbtm dct`e`r uem adeaousbñe i` bet`râs pmrm om bev`stbfmabñe. Ydn` ν > 0%   ==.: Qupñefms` qu` `e ue `stuibd i`etmo s` gbzd om mjbrnmabñe i` qu` `o 2;% i` ods

ebýds i` 9 mýds ed nu`strm beibabds i` amrb`s i`etmo. Mo r`mobzmr om bev`stbfmabñe s` `eadetrñ qu` i` 2; ebýds i` 9 mýds, 6: ed ndstrmrde tmo`s beibabds.  Mo = % i` sbfe sbfebjbam bjbameabm eabm,, `s ab`rtm ab`rtm oomm gbpñt` gbpñt`sbs sbs pome pomet`mi t`mim4 m4 91

 

==.6 Qupñefms` qu` s` i`s`m mv`rbfumr sb om mspbrbem y ue prdiuatd i` adnpmrmabñe sde

bfumon`et` `jbama`s pmrm `o mobvbd i` ods sîetdnms i` om frbp`. [mrm `ood, s` r`fbstrme ods tb`npds (`e nbeutds) i`si` om tdnm i` om n`ibabem gmstm `o ndn`etd `e qu` `o pmab`et` iba` s`etbrs` n`ldr. Ods r`suotmids sde<   Mspbrbem [rdiua. Adnpmrma.     =0,3 =0 =1,9 s 7,6 3,2 e 3; 1;  x

Qde bfumon`et` rípbids `e `o mobvbd mncds prdiuatds4 [mrm adnprdcmrod utboba` ue =% i` sbfebjbameabm.

99

 

==.7 Q` gbzd ue nu`str`d `e ids abuimi`s pmrm mv`rbfumr om dpbebñe i` oms p`rsdems sdcr` `o

prdfrmnm i` joudrmabñe i` om smo met`s i` bebabmr om amnpmým. Ods r`suotmids i`o `stuibd ju`rde< Abuimi  M  C

[`rsdems =;; 60

Dpbebñe jmvdrmco` 66 :=

Yb`e`e oms ids abuimi`s bfumo`s prdpdrabde`s i` pdcomabñe `e prd i` om joudrmabñe i` om smo4

==.2  Matu  Matumon` mon`et` et` `xbst` `xbst` `e om Pebv` Pebv`rsbi rsbimi mi =60; =60; `st `stuibm uibmet`s et`s ed ucba ucbamids mids `e amrr`rm. amrr`rm. Q` qub`r` qub`r`

tdnmr uem nu`strm sbnpo` mo mzmr i` 7; i` `oods pmrm ue `stuibd sdcr` msdabmabñe i`o r`eibnb`etd mamiânbad y mspbrmabñe prdj`sbdemo ade dtrms amrmat`rîstbams sdabmo`s, `adeñnbams y i` smoui. m)

I`jbem ``oo nm nmrad ii`` nu`strm mprdpbmid.

c) a) i)

Q`o`aa aabbde de` ods prb od prbn` n`rd rdss =; 0 `ADO. stu stuibme bm3;). et`s ii`` om om nu nu`st strrm. ([uetd i`` pmrtbim JBOM I` I`jbjbem em ad adee pmo pmomc mcrm rmss iids ds pr prdn dn`i `ibd bdss qqu` u` bet` bet`r` r`sm smrî rîmm `stb `stbnm nmrr `e `e `st `st`` am amsd sd.. I`jb I`jbem em ad adee pmo pmomc mcrm rmss iids ds pr prdp dpdra drabd bde` e`ss qu` qu` bet` bet`r` r`sm smrî rîmm ``st stbn bnmr mr `e `st` `st` am amsd sd..

==.=; ==. =; @o tâaeba tâaebadd i` r`fb r`fbstrds strds nâibads nâibads i` ue gdspbtmo gdspbtmo tdnñ mo mzm mzmrr uem nu`strm nu`strm i` 3;; `xp`ib`e `xp`ib`et`s t`s i` pmab`et`s y `eadetrñ `e =3; i` `oods mo n`eds ue i`tmoo` i` bejdrnmabñe qu` adetrmi`aîm m ods i`nís. m)

@st @stbn` bn` `o pdra`etm pdra`etml` l` ii`` `xp`ib` `xp`ib`et`s et`s ade `rrd `rrdr`s r`s mo 20% i` adejbm adejbmezm ezm.. Be Bet`rp t`rpr`t` r`t`

c)

`o r`suotmid. ]u ]uâ â tmn tmnmý mýdd i`c`r i`c`rîm îm t`e` t`e`rr om nu`st nu`strm rm pmrm pmrm ue 21% 21% i` adejbm adejbmez ezmm sb `s pdsbc pdsbco` o` ma`ptmr adnd níxbnd ue nmrf`e i` `rrdr i` 1% 4

==.== Q` rr`mobzñ `mobzñ ue ``xp`rbn`etd xp`rbn`etd pmrm `stuibmr `o `j`atd qu` tb`e` tb`e` ue n n`ibamn`e `ibamn`etd td (idsbs (idsbs `e nf.) sdcr` `o rbtnd amriîmad i` miuotds. x > idsbs i`o jírnmad y > rbtnd amriîmad. Ρx > =:,30 Ρy > =03 Ρxy > 360 ΡxW> 1=,0:30 Ρyy > 30;9 e > =; m)

´]uâ ´]uâ pdr pdra` a`et etml ml`` i` oomm vmrb vmrbmc mcbobobi bimi mi ttdt dtmo mo i`o i`o rbt rbtnd nd aamr mriî iîma madd `s `xpo `xpoba bami mimm pdr pdr su r`o r`oma mabñ bñee obe`mo ade om idsbs i`o jírnmad4

c) ´Auío s` s`rîm rîm `o rbtnd amriîm amriîmad ad `stbnmid, `stbnmid, ade uem idsbs i` =.7; nf.4 nf.4

 

-9:-

==.=33 Ods mspbr ==.= mspbrmet` met`ss m s`r minb minbtbids tbids `e ue prdfr prdfrmnm mnm ju`rde aom aomsbjba sbjbamids mids s`füe s`füe su r`ei r`eibnb` bnb`etd etd mamiânbad `e ods aursds i` frmid y `o r`suotmid i` om pru`cm i` mptbtui i`o Qbst`nm i` @stuibds i` [dsfrmid (Q@[), ade `o sbfub`et` r`suotmid. S`eibnb`etd Frmid  Motd N`ibd  Motd

S`suotmid pru`cm Q@[ Cmld N`ibd Motd 60 03 7 92 =36 =0 3: 92 ==9

  Ade ue 0% i` prdcmcbobimi i` ma`ptmr om gbpñt`sbs euom sb`eid jmosm, ´s` pdirbm i`abr qu` `o r`suotmid i` om pru`cm `e `o Q@[ `s bei`p`eib`et` i`o r`eibnb`etd `e `o frmid4 ==.=1 M tdid pmab`et` qu` oo`fm pdr prbn`rm v`z m uem aoîebam u gdspbtmo i` om A.A.Q.Q., s` o` mcr` ue `xp`ib`et` nâibad qu` s` mragbvm eunârbamn`et` y uem tmrl`tm i` bi`etbjbamabñe qu` s` mragbvm mojmcâtbamn`et`. mojmcâtbamn`e t`. I` `stm nme`rm s` ms`furm qu` uem p`rsdem ed t`efm nís i` ue `xp`ib`et`, y qu` ods idaun`etds y imtds r`omabdem r`omabdemids ids ade su mt`eabñe nâibam s` vmyme maunuomeid `e `o nbsnd. @e om Aoîebam Qme Smnde, m om j`agm gmy =9137 `xp`ib`et`s. @o ibr`atdr i` om nbsnm i`s`m i`t`rnbemr sb `o eün`rd i` adesuotms g`agms mo mýd pdr amim pmab`et` vmrîm i` mau`rid ade om `imi y `o s`xd i`o nbsnd. @st` üotbnd imtd pdirîm s`r tdnm tdnmid id i` om tmrl`tm i` bi`etbjbamabñe8 p`rd `o eün`rd i` adesuotms sñod pu`i` adeda`rs` m trmvâs i`o `xp`ib`et`. I`spuâs i` vmrbms adesbi`rmabde`s y aíoauods s` vbñ qu` `rm e`a`smrbd tdnmr mo`mtdrbmn`et` =76: `xp`ib`et`s. Ade cms` `e om sbtumabñe i`sarbtm, i`jbem od sbfub`et`< m) Om pdcomabñe i`o `stuibd c) Om ue uebimi ``sstmiîstbam ``oo`n`etmo a) Oms amrmat`rîstbams císbams ade su r`sp`atbvm aomsbjbamabñe. i) @o n nât âtdi didd ut utbobobz bzmi midd `e om om r` r`ad ado` o`aa aabñ bñee i` oods ds iimt mtds ds y uem uem i` i` sus sus v`et v`etml mlms ms `) Qup Qupdeb deb`e `eid id qu` qu` od odss `x `xp`i p`ib`e b`et`s t`s `stí `stíee `e `eun un`rm `rmids ids ades`a ades`autb utbvmn vmn`et `et`` y qu qu`` s` utbob utbobzm zm oomm tmcom i` eün`rds mo`mtdrbds bebabmeid `e om gbo`rm ;0 y i` om adounem 33 m om i`r`agm8 ´aumo`s s`rbme ods prbn`rds dagd `xp`ib`et`s i` om nu`strm4 j) Ids Ids `l `l`n `npo pods ds aade dear ar`t `tds ds ii`` s`sf s`sfdd qu` qu` pu`i pu`i`e `e mj` mj`at atmr mr oomm amob amobim imii i` `st `stds ds imt imtds ds.. f) Oms gbpdt`sbs euoms qu` s` qub`r` prdcmr y sus `stmibstba `stmibstbams ms i` pru`cm. ==.=9 @e om adnuebimi i` Qme C`remrid `e 3;;=, s` `etr`vbstd m ods r`sbi`et`s i` tr`s cmrrbds sdcr` ods s`rvbabds i` mau`iuatds y moametmrboomids, s` nbibñ su `j`atbvbimi i` mau`rid ade oms vbvb`eims qu` s` qu`imrde sbe mfum `e oms uotbnms 39 gdrms. I` mau`rid ade `o [`rbdiba [`rbdibadd i` `sm Adnuebimi ods r`suotmids ju`rde ods sbfub`et`s< @e oms =0; vbvb`eims i`o cmrrbd M jmotd `o mfum `e =3. @n `o cmrrbd C jmotd `e 36 y ed jmotd `e oms =31 r`stmet`s. Jbemon`et`, `e `o cmrrbd A gmcbm =;; vbvb`eims i` oms aumo`s jmotd `o mfum `e 3=. Ade ue ebv`o i` sbfebjbameabm i`o 0% s` pdirbm i`abr qu` `o mfum jmotm `e om nbsnm prdpdrabde `e ods tr`s cmrrbds4

 

-96-

==.=0 Mo prdcmr ue n`ibamn`etd adetrm ab`rtm `ej`rn`imi s` `eadetrñ qu` 27 i` =3; p`rsdems s` mobvbñ. m) @eau`etr` ods vmodr`s i`o 20% i` adejbmezm pmrm om v`rimi`rm prdpdrabñe i` pmab`et`s qu` s` mobvbm. Bet`rprât`ods i`etrd i`o adet`xtd. c) Aumo i`c`rbm s`r `o tmnmýd i` om nu`strm sb s` i`s`m ue `rrdr ed nmydr i`o =,0% y ue 22% i` adejbmezm `e om `stbnmabde4 a) Aumo i`c`rbm s`r `o tmnmýd i` om nu`strm sb s` i`s`m ue `rrdr ed nmydr i`o 1% y ue 20% i` adejbmezm `e om `stbnmabde4 i)Aumo i`c`rbm s`r `o tmnmýd i` om nu`strm sb s` i`s`m ue `rrdr ed nmydr i`o 9% y ue 2;% i` adejbmezm `e om `stbnmabde4 `)@xpobqu` oms ibj`r`eabms `e ods tmnmýds i` nu`strm `eadetrmids. ==.=: Oms `imi`s `e mýds y ods smomrbds n`esumo`s `e adode`s sbfub`et`s, p`rt`e` p`rt`e`a`e a`e m 0 p`rsdems qu` omcdrme `e `o Zbv`rd Z`ri` Zbvd. @imi< 3=, 39, 30, 36, 37, 37, Qmomr< 90611, 0:90;, 06=:7, :6771, :7:;;, 621=6 Ade ue ebv`o i` sbfebjbamea sbfebjbameabm bm i`o 0% i`t`rnbe` sb `o smomrbd y om `imi `stme msdabmids. [SMAYBAM E¼ =3

[SMAYBAM BEY@FSMO [S@FPEYM = [defm ue `l`npod `e amim amsd i` beibamidr beibamidr i` smoui qu` s` mj`atmrîm sb ed s` r`fbstrme ods g`agds beibamids i` mau`rid ade oms i`jbebabde`s bet`remabdemo`s i`< g`agds vbtmo`s, beabi`eabm y pr`vmo`eabm. @xpobqu` pdr qu` y adnd s` mj`atm.

m)

Nul`r Nul`r `ncm `ncmrmz rmzmim mim i` 30 mýds mýds i` i` `imi `imi auyds auyds sbfe sbfeds ds i` i` vbim vbim i`smp i`smpmr` mr`a`e a`e i`spu i`spuâs âs i` i` gmc`rs` amîid i` uem `samo`rm.

c)

[rd rdiu iuat atd d i` om adea adea` `pabñe abñe i` 3; s`nm s`nme ems i` f`s f`stmabñe abñe auyd auyds s sbfe bfeds i` vbim bim i`smpmr`a`e 0 nbeutds i`spuâs i` su `xpuosbñe.

a)

Eb Ebýd ýd i` 7 n`s` n`s`s s qu` qu` `ej` `ej`rn rnm m i` ibmr ibmrr` r`m m y jmoo jmoo`a `a` ` pdr pdr ` `sm sm amus amusm m

i)

Nul` Nul`rr i` i` 00 00 mýd mýds s m oom m qu` qu` s` o` ibmf ibmfed edst stba bam m uem uem ibmc ibmc`t `t`s `s n`o n`oobobtu tus. s.

`)

[`r `rsd sdem em i` 63 63 mýds mýds m om qu` qu` s` o` ibmf ibmfed edst stba bañ ñ tuc`r tuc`rau auod ods sbs `o mýd mýd pmsm pmsmid id y my`r  my`r  jmoo`abñ pdr `stm amusm.

[S@FPEYM 3

 

-97-

@e uem bev`stbfmabñe sdcr` j`aueibimi oo`vmim m amcd `e nmrzd i`o 3;;1 `e om p`qu`ým adnuebimi rurmo i` Qmetm Nmrtm, s` adetmatñ m 1; nul`r`s amsmims d adevbvb`e adevbvb`et`s t`s y s` o`s pr`fuetñ sb utbobzmcme d ed mofüe nâtdid adetrma`ptbvd y su ebv`o `iuamtbvd ([>[rbnmrbm8 Q>Q`aueimrbm8 P>Pebv`rsbtmrbm). Ods r`suotmids ju`rde ods sbfub`et`s< @etr`vbstm =

Adetrma`ptbvd ED

@iuamabñe [

3 1 9 0 : 6 7 2 =; == =3 =1 =9 =0 =: =6 =7 =2 3; 3= 33 31 39 30 3:

QB QB ED QB ED ED QB ED QB QB ED QB ED ED ED ED QB QB QB ED QB ED ED QB QB

Q [ [ P Q [ [ [ Q P P Q Q [ [ [ Q [ P [ Q Q [ P P

3 36 7 32 1;

E QBD QB ED

P [ Q Q

Ade cms` `e om bejdrnmabñe met`rbdr< m. Adestruym Adestruym om ibstrbcuabñe ibstrbcuabñe i` jr`au`eabms jr`au`eabms aruzmim i` oms oms id ids s amrmat`rbstbam amrmat`rbstbams s (0 pts) c. [r`s`et` [r`s`et`oms oms `e aumird aumird `stmib `stmibstba stbad d adnpo`td adnpo`td (0 pts) pts)

[S@FPEYM 1

@etr` oms =;;; jmnbobms i` Qme Jrmeabsad gmy 039 qu` tb`e`e amsm prdpbm, 100 qu` tb`e`e t`o`vbsdr y 117 qu` ed tb`e` t`o`vbsdr eb amsm prdpbm. Iâ oms r`spu`stms ade 9 i`abnmo`s . m) Adestruym om tmcom i` adetbef`eabm c)

I`p`ei` ``oo t` t`e`r tt``o`vbsdr i` tt``e`r aammsm pprd rdppbm4

 

-92-

`) ´Auío `s om prdcmcbobimi prdcmcbobimi i` `eadetr `eadetrmr mr uem jmn jmnbobm bobm qu` t`efm amsm amsm prdpbm d t`efm t`o`vbsdr4 t`o`vbsdr4 j) Qb s` `obf`e mo mzmr tr`s tr`s jmnbob jmnbobms, ms, auí auíoo `s om prdcmcbobimi i` qu qu`` oms tr` tr`ss t`efme amsm amsm prdpbmo4 prdpbmo4

[S@FPEYM 9 (=; pts) @e om cbcobdt`am i` om Jmauotmi i` N`ibabem i` om Pebv`rsbimi i` Adstm Sbam bet`r`sm adeda`r om

metbfÿ`imi obcrds `xbst`et`s nmrzd i`o 3;;18obcrds msî adnd om nmt`rbm i` umr om qu` trmtm y `o bibdnm bibdnm i` `e ods qu` ju`rde ju`rd e `sarbtds. `sarbtds.mo 1; Q`i` s`o`aabde s`o`a abdeme me 1;; mo mzmr pmrm `j`atumr `j`at `e s` `oods `o n`eabdemid `stuibd. I`jbebr< m. Pebimi Pebimi `stmiî `stmiîstba stbam m `o`n`et `o`n`etmo mo (=,0 (=,0 pts) pts) c. [dcomab [dcomabñe ñe `e `stuibd, `stuibd, beibamr beibamr sb `s jbebtm jbebtm d bejbebtm bejbebtm (=,0pts) (=,0pts).. a. Aumo Aumo `s `s om nu`str nu`strm4 m4 (=, (=,0pt 0pts) s) i. I` ue `l`npod `l`npod adear`td adear`td i` s`sfd pdsbco` pdsbco` `s `stm bev`stbfmabñe bev`stbfmabñe (3,0 pts) `. Medt` oms amrmat`rîstbams amrmat`rîstbams i` `stuibd, `stuibd, beibqu` beibqu` i` quâ sde sde (mtrbcutd, ibsar`tm ibsar`tm d adetbeum) adetbeum) y iâ ue `l`npod i` dcs`rvmabñe i` amim amrmat`rîstbam qu` medtñ (1 pts)

[S@FPEYM 0 (=; pts, 3 a/u)   M adetb adetbeuma eumabñe bñe s` pr`s` pr`s`etme etme imtds imtds i i` ` Sîd Sîd E`frd E`frd `e 3;;3< 3;;3< [dcomabñe ms`furmim.................................................................................=.7=3.9:; Ed. i` amnms...................................................................................................6.;70 [dcomabñe tdtmo mo =/6/3;;3.........................................................................3.16=.0=2 Nul`r`s......................................................................................................=.3;6.273 Gdncr`s....................................................................................................=.=20.62: Emabnb`etds....................................................................................................61.=3; Emabnb`etds i` nul`r`s.................................................................................16.03: I`jueabde`s......................................................................................................2.=:7 I`jueabde`s j`tmo`s.............................................................................................:70 I`jueabde`s i` =0 m 39 mýds..............................................................................12:

I`jueabde`s pdr `ej`rn`imi`s mpmrmtd abrauomtdrbd........................................3.0:; I`jueabde`s I`jueabd e`s pdr `ej`rn`imi`s mpmrmtd mpmrmtd r`spbrmtdrbd........................................ r`spbrmtdrbd............................... ............73; ...73; Amsds i` ruc`dom................................................................................................10; Amsds i` vmrba`om.............................................................................................1.1=6 I`jueabde`s i` n`edr`s i` ue mýd.................................................................=.=0: Amoauo` ` bet`rpr`t`< m) Om rmzñe i` gmcbtmet`s pdr amnm

  c)

Om emt emtmobi obimi prdp prdpdr drab abde dem mo j`n j`n`ebe `ebem m

a)

Om tm tmsm i` i` nd ndrtmobimi cr crutm

i)  

Pe rb` rb`sf sfd d r`om r`omtb tbvd vd i` i` ndrc ndrcbobobi bimi mi.. (I (I`s `sar arbc bcm m td tdid id `o `o prda prda`i `ibn bnb` b`et etd) d)..

.

 

-0;-

`) [r`s`et` [r`s`et` ods r`suotmids i` ods amoauods met`rbdr`s `e jdrnm i` t`xtd, adn`etmeid adn`etmeid sdcr` om sbtumabde i` smoui i` Sbd E`frd qu` i`sarbc`e `sds aumtrd beibamidr`s.

[r`fuetm [r`fuet m : (=; pts- 3, 0 a/u)

[mrm `o n`s i` nmyd i`o mýd 3;;; s` tb`e` om sbfub`et` bejdrnmabñe sdcr` oms `imi`s i` 1; pmab`et`s i`o s`rvbabd i` djtmondodfîm i`o gdspbtmo i` Oms [monms (S`idei`mid mo aunpo`mýds nís prñxbnd) @0imi2 =1 =6 3= 30 32 -

J3b 9 0 7 0 9 3

7 =3 =: 3; 39 37 13

Amoauo` ` BEY@S[S@Y@ oms sbfub`et`s n`ibims i` pdsbabñe m)   m)

Ndim c) @o pp``ra`etbo aabbeau`etm a)

i)

[rdn`ibd Auío i` oms tr`s n`ibims utbobzmrîm pmrm r`pr`s`etmr r `pr`s`etmr `o adeluetd i` `imi`s4 [dr quâ4

[r`fuetm 6 @e om adnuebimi i` Qmetm Sdsm, `o 9;% i` om pdcomabñe miuotm p`rt`e`a` m mofüe frupd adnuemo. Q` dctb`e` uem nu`strm mo`mtdrbm i` =0 miuotds. Q` i`s`m adeda`r om prdcmcbobimi i` qu`< m. Yr` Yr`ss i` `oo `oods ds p`rt`e` p`rt`e`zam zamee m mofü mofüee frupd aadnu dnuemo emo c. Adnd n nîebnd îebnd iib`z b`z p`rt` p`rt`e`zam e`zamee m mofüe frupd adnue adnuemo mo a. @etr` aabead bead y eu`v eu`v`` miu miuotds otds ed p`rt` p`rt`e`za e`zame me m mofüe ffrupd rupd aadnuemo dnuemo i. Qb om adnuebimi tb`e` =67 09: gmcbtmet`s, ´Auíetds p`rt`e`a`e m ue frupd adnuemo4

  [r`fuetm 7

Ods imtds sbfub`et`s s` r`jb`r`e mo eün`rd i` amsds i` g`pmtbtbs C r`fbstrmids `e Qme Lume i` om Pebñe<   ------------------------------------------------------------------------------------------- MÝD GDNCS GDNCS@Q @Q NPL@S NPL@S@Q @Q YDYMO YDYMO --------------------------------------------------------------------------------------------=22: 1: 1; ::   =226 10 9; 60 =227 36 31 0;  

=222 3;;;

33 32

37 1=

99 :;

 

-0=-

-----------------------------------------------------------------------------------------Gmfm ue fríjbad `stmibstbad `stmibstbad qu` p`rnbtm vbsumobzmr oms vmrbmabde`s vmrbmabde`s tdtmo`s y oms ibj`r`eabms pdr s`xd m trmv`s i` ods mýds.   [r`fuetm 2

Pe psbañodfd i`saucr` qu` sul`tds ‟edrnmo`s„ adnpo`tme uem tmr`m i`t`rnbemim `e ue prdn`ibd i` =; nbeutds. @o tb`npd r`qu`rbid pmrm adnpo`tmr om tmr` tmr`mm `stí ibstrbcubid mprdxbnmimn`et` mprdxbnmimn`et` `e jdrnm edrnmo ade uem vmrbmeabm i` 2 nbeutds. m.Amoauomr om prdcmcbobimi i` qu` gmym sul`tds edrnmo`s qu` adnpo`tme om tmr`m `e n`eds i` 0 nbeutds .   c.Amoauomr om prdcmcbobimi i` qu` gmym sul`tds edrnmo`s qu` r`qub`r`e nís i` =; nbeutds pmrm adn adnpo`tmr po`tmr om tmr`m. a. Amoauomr om prdcmcbobimi i` qu` ue sul`td edrnmo, m qub`e s` o` gmym msbfemid om tmr`m, om adn adnpo`t` po`t` `e 1 nbeutds.   i. @e ue frupd i` ==0;; 0;; sul`tds edrnmo`s, ´´aumetds aumetds pdirbme adnpo`tm adnpo`tmrr om tmr`m tmrimeid `etr` 0 y ==;; nbeutds4

[r`fuetm =;

Qmcb`eid qu` `o prdn`ibd mrbtn`tbad i` M `s bfumo mo i` C y `s 0; an, an, i`t`rnbe` ´auío i` ods ids adeluetds `s nms vmrbmco`4 Q` trmtm i` oms tmooms `e a`etîn`trds i` ids frupds i` r`abâe emabids< ued i` zdem urcmem (C) y `o dtrd `e om zdem rurmo (M).  M<   91, 9:, 92, 03, 09, 0: C<  A  Aooms` Jb 91 - 9:  0 96 - 0; =6 0= - 09 =: 00 - 07  3

  [r`fuetm ==

Q` `stbnm qu` `e ab`rtd frupd i` `ej`rn`rms, `o 1;% usm uem nmram `sp`abmo `sp`abmo i` zmpmtds. Imid qu` om `stbnmabñe `s adrr`atm y qu` s` o`s pr`fuetm sdcr` `std m 30 p`rsdems `o`fbims mo mzmr `e `st` frupd i` prdj`sbdemo`s . prdj`sbdemo`s  .   I`t`rnbe` om prdcmcbobimi i` qu` `o eün`rd i` `ej`rn`rms qu` usm `sm nmram i` zmpmtds< m. Q`m Q`m ii`` 0 d n n``eds. eds. c. aadnp dnpr`e ibid `etr`` =; y =0 ``ej` ej`rn` rn`rms. rms. a. @stâ Q`m Q`m i` 3; r`eibi dn ní ís.d `etr i. Qb `e ue uemm r`fb r`fbñe ñe gmy 6679 79 ``ej`rn`r ej`rn`rms ms ´auí ´auíetms etms usm usmrbme rbme `sd `sdss zmpm zmpmtds4 tds4

 

-03-

[S@FPEYM Ed =3 Pe bev`stbfmidr adeda` qu` om om vbim ütbo i` ue bestrun`etd qubrürfbad s` ibstrbcuy` adnd uem edrnmo ade

i`svbmabñe `stíeimr i` i` 3; iîms. Q` tdn tdnmm uem nu`strm mo`m mo`mtdrbm tdrbm i` 3;; bestrun`etds i` ue odt` i` =0;; y s` adnpru`cm qu` su vbim ütbo ju` i` 2; iîms . m) c) a)

Bet` Bet`rpr` rpr`t` t` om `stb `stbnma nmabñe bñe ii`` ppuet uetdd i` om v`r v`rimi imi`rm `rm vbim vbim üütbo tbo i` ods best bestrun run`etd `etds. s. Be Bet`r t`rpr` pr`t`o t`omm . Amo Amoauo auo`` ue bbet` et`rvm rvmod od i` i`oo 2; 2;% % i` ade adejbm jbmezm ezm ppmrm mrm om vv`ri `rimi mi`rm `rm vbi vbimm ütbo ütbo pprdn rdn`ib `ibdd i` ods bbestr estrun` un`etds etds.. Bet Bet`rpr`t r`t` ods ooîînbt`s t`s ddcct`ebi ebids.

[S@FPEYM Ed. =1

Pe sbeibamtd adeda` qu` `o ebv`o gbstñrbad i` mpdyd mpdyd m uem gu`ofm i` sus mjbobmids `s i`o :;%. :;%. Qb s` qub`r` tdnmr uem nu`strm i` mjbobmids pmrm sdei`mr `o mpdyd m uem gu`ofm qu` `o sbeibamtd `stí pome`meid. m) I` qquâ uâ ttmn mnmý mýdd i` i`c` c`rí rí ss`r `r om n nu` u`st strm rm sb ss`` i` i`s` s`mm ue `r `rrd rdrr ní níxb xbnd nd i` n nu` u`st str` r`dd i` i`oo :% y ue uemm adejbmezm i`o 21%4 c) Bet Bet`r `rpr` pr`t` t` `o `o sb sbfe febjb bjbam amid id ii`o `o ``rrd rrdrr i` nu` nu`str str`d `d mmsun sunbi bidd `e ``oo pu puet etdd me met` t`rb rbdr. dr.

[S@FPEYM Ed.=9

@e uem frmelm s` mobn`etñ iurmet` ue n`s m =; fmoobems ade `o mobn`etd ‟M„ y mo jbemo s` r`fbstrñ su p`sd `e hbodfrmnds. Mo n`s sbfub`et`, m oms nbsnms =; fmoobems s` o`s amncbñ mo mobn`etd ‟C„ y s` vdovbñ m r`fbstrmr su p`sd. @stm n`ibabñe, pmrm `o p`sd r`fbstrmid s`füe ods ids tbpds tbpds i` mobn`etd, ju` `o sbfub`et`< [`sd `e hbodfrmnds ade `o mobn`etd M 

[`sd `e hbodfrmnds ade `o mobn`etd C

=.1

=.1

=.9

=.0

=.: =.0

=.: =.9

=.1

=.1

=.:

=.9

=.0

=.1

=.:

=.6

=.9

=.1

=.6

=.:

[ru`c` om gbpñt`sbs i` qu` beibstbetmn`et` i`o tbpd i` mobn`etd sunbebstrmid, ed gmy ibj`r`eabm `e `o p`sd i` oms =; fmoobems. Ptboba` ue ebv`o i` sb sbfebjbameabm febjbameabm i`o 0%.   [S@FPEYM Ed. =0

Ods prdn`ibds i` ods pr`abds i` v`etm i` ue n`ibamn`etd iurmet` ue p`rîdid i` dagd mýds s` beibame `e

 

-01-

om tmcom sbfub`et`<  Mýd [r`abd prdn`ibd i` v`etm (`e nbo`s)

 

=22;

=22=

=223

=221

=229

=220

=22:

=226

36.:

13.0

10.2

12.1

99.3

97.7

00.6

:3.2

m. Bet` Dct Dct`ef `efm mt`oomm`o`a `auma umabñe bñe ii`` r` r`fr` sbñe c. Bet`rpr` rpr`t` ad ad`jb `jbab` ab`et` et` i`fr`sbñe r` r`fr` fr`sbñ sbñe. e.

[S@FPEYM Ed. =:

Pe `stuibd pmrm i`t`rnbemr sb om ametbimi i` j`rtbobzmet` ebtrdf`emid pdr mar` `stí msdabmid ade om ametbimi i` trbfd trbfd prdiua prdiuabid bid s` oo` oo`vd vd m amcd ``ee 7 pmra` pmra`oms oms y ibd adn adndd r`suotmi r`suotmidd ue Ad`jbab Ad`jbab`et` `et` i` aadrr`om drr`omabñe abñe > ;.9=2. Gmfm om pru`cm adrr`spdeib`et` pmrm i`t`rnbemr sb gmy msdabmabñe `etr` mncms amrmat`rîstbams. Ptboba` ue i`o 0%.   [S@FPEYM =6 @e ue `stuibdEd. r`mobzmid `e uem aoîebam prbvmim s` sdn`tbñ m 000 pmab`et`s m ids tbpds i` trmtmnb`etd pmrm

r`fbstrmr `o ebv`o i` n`ldrîm. Ods r`suotmids s` pr`s`etme `e om tmcom sbfub`et`< S`suotmids

Ybpd i` trmtmnb`etd Yrmtmnb`etd Yrmtmnb`etd C  M

N`ldrîm motm N`ldrîm o`v` Qbe n`ldrîm

=30 =;0 0;

==0 20 :0

Ydtmo

37;

360

Ydtmo 39; 3;; ==0 000

Ptbobzmeid ue ebv`o i` sbfebjbameabm i`o =%, pru`c` om gbpñt`sbs i` qu` ed `xbst` ibj`r`eabm `e ods r`suotmids i` ods ids trmtmnb`etds.  

EDYM<

J`agms i` `etr`fm i` príatbams E¼ =< =2 i` mfdstd E¼ 3< 32 i` mfdstd E¼ 1< 0 i` s`ptb`ncr`

 

-09-

E¼ 9< =3 i` s`ptb`ncr` E¼ 0< 31 i` Q`ptb`ncr` E¼ :< 1 i` datucr` E¼ 6< =; i` Datucr` E¼ 7< 37 i` Datucr` E¼ 2< == i` Edvb`ncr` E¼ =;< 3= i` Edvb`ncr`