Parcial 3

 

\rnmugte G² 5

Bueg, \nfrc y Fjnmc oeg vngfjfc ng >< `uctes e Bcsê y Ågmna ug hjng jgdunhan, subntc e ae `cgfj`jðg fn qun sj fn`jfjnrng ngebnger ae `cse c epcrterae e ae sc`jnfef prðxjde e `cgstujrsn, fnhnräeg prninrjr e acs vngfnfcrns qun pcfräe rn`cdprerae `cg uge fjsdjgu`jðg fna 5 , y ns ae `cgvng`jðg pcr ae `uea na prcpjnterjc fn ug hjng, ac rnsnrve, pere na `esc fn vngfnrac, ea hngn`jerjc fn ae `aeusuae, `cg prninrng`je schrn `ueaqujnr ctre pnrscge pcr ug prn`jc fntnrdjgefc c fntnrdjgehan. fntnrdjgehan. Na djsdc an `cg`nfn ea vngfnfcr vngfnfcr ug fnrn`oc e rn`upnrer ae `cse vngfjfe rnefqujrjêgfcae fna `cdprefcr. \ere pcfnr nbnr`jter nstn fnrn`oc ns prn`jsc qun na `cdprefcr sn fn`jfe e vngfnrae, ng tea `esc, na prjdjvc vngfnfcr cstngtere ug fnrn`oc fn efqujsj`jðg prninrngtn. prninrngtn. Na `cdprefcr fnhn degjinster su fn`jsjðg fn ngebnger ae `cse, y tcfes aes per`uaerns fn ae cpnre`jðg e rneajzersn, na vngfnfcr fjspcgn fn 5< fjes fn rn`jhjfe ae `cdugj`e`jðg pere nbnr`nr nbnr`nr su fnrn`oc. Ea gc nster fntnrdjgefc ng na `ðfjmc ae icrde pcr ae `uea fnhng gc`ersn pcr pertn fna `cdprefcr y vngfnfcr, aes fn`jsjcgns qun sn tcdng, sn rjmn pcr ae ajhnrtef fn icrdes, `uegfc ae any gc fnsjmge uge icrde fntnrdjgefe pere ae nxtnrjcrjze`jðg fn ae vcaugtef, aes pertns punfng uajzer aes qun nsdng `cgvngjngtns, ert 8?6 ``y`. Eugqun pere na `esc fna ctcrmegtn fn ae prning`je ns gn`nserjc qun fjrjbe uge fn`aere`jðg `cg acs rnqujsjtcs fn ae cinrte e sus hngn`jerjcs, `cdugj`egfc su fn`jsjðg fn `nanhrer na gunvc `cgtretc ng su `esc fn `cgicrdjfef `cg aes nspuae`jcgns fna pe`tc, qunfegfc na `cgtretc `cg`aujfc `cg ae e`npte`jðg fn acs hngn`jerjcs ert ::? ``y` Na fnrn`oc ns pnrscgea, gc punfn `nfnrsn, `nfnrsn, ns jgtujtc pnrscgen. Ng nstn `cgtretc sn epaj`eg aes rnmaes fn ae `cdprevngte hebc `cgfj`jðg rnscautcrje, ns fn`jr sj na vngfnfcr nbnr`n su fnrn`oc, na `cgtretc qunfe rnsunatc, ae rnscau`jðg prcfu`n nin`tcs rntrce`vcs ngtrn aes pertns, Ert 5 eõcs fnsfn ae `nanhre`jð `nanhre`jðg g fna `cgtretc, sj sn trete fn `cses jgdunhans, y fn fcs eõcs ng `cses dunhans. Pj aes pertns `cgvjngng ug paezc deycr sn rnfu`n ea dåxjdc anmea pnrngtcrjc n jdprcrrcmehan, ert 559= ``y`

 

\rnmugte G² 8

Bueg sn oe chajmefc e sudjgjstreran e \nfrc furegtn ug paezc fn = eõcs detnrjeans fn `erpjgtnräe qun na prjdnrc deguie`ture, pere su pcstnrjcr vngte pcr na snmugfc. Furegtn na tnr`nr eõc fn vjmng`je fna e`unrfc `cdjngzeg e prcfu`jrsn etrescs ng aes ngtrnmes fn acs prcfu`tcs scaj`jtefcs pcr \nfrc, pcr ac qun equna prntngfn rnscavnr `cgtretc. Jgfjqun ae getureanze buräfj`e fna `cgvngjc `cgvngjc y acs fnrn`ocs y chajme`jcgns qun esjstng e aes pertns jgvcau`refes. (5< pugtcs) Ng na `escfn paegtnefc fcgfn bueg snug chajme sudjgjstrer snrvj`jcs nstedcs irngtnfne ctre, ug `cgtretc sudjgjstrc, fcgfn pcr aefceoey uge pertnhjngns qun sncchajme e `udpajr e ievcr ng icrde jgfnpngfjngtn, prnste`jcgns pnrjðfj`es c `cgguefes fn hjngns y snrvj`jcs e `edhjc fn ug pemc c `cgtreprnste`jðg, Na sudjgjstregtn sjg rnae`jcg fn fnpngfng`je sn chajme e ngtrnmer hjngns c snrvj`jcs, na sudjgstrefc e pemer ug prn`jc, `cdc ac fntnrdjge na ert 55=9 y ss Na paezc dåxjdc fna `cgtretc punfn snr `cgvngjfc pcr 8< eõcs, tretågfcsn ng prcfu`tcs fnrjvefcs fna sunac `cdc ng nstn `esc. Pj gc sn nspuae `egfef ng fj`oc `cgtretc, sn ngngfn qun snråg aes `egfefns gcrdeans, sj sn `cgvjgjnrcg `egfefns dåxjdes c djgjdes, na sudjgjstrefc ngn na fnrn`oc fn fntnrdjger ae `egfef ng `efe cpcrtugjfef, fngtrc fn nscs ajdjtns. PJ ae `egfef e ngtrnmer ng `efe pnrjcfc punfn verjer, `efe pertn fnhnrå evjse e ae ctre ae dcfj`e`jðg ng sus gn`nsjfefns fn rn`np`jðg c pcsjhjajfefns fn ngtrnme, snmòg icrdes pe`tefes, sj gc ouhc `cgvng`jðg, fnhnrå evjsersn `cg ae eg`jpe`jðg qun pnrdjte e ae ctre pertn prnvnnr aes e``jcgns gn`nserjes e rneajzer. na paezc ng aes prnste`jcgns sjgmuaerns sn prnsudn nstehan`jfc ng jgtnrês fn edhes pertns, seavc pe`tc ng `cgtrerjc. Na prn`jc, sn fntnrdjge seavc `cgvng`jðg ng `cgtrerjc, snmòg na prn`jc fn prnste`jcgns sjdjaerns qun na sudjgjstregtn nin`tun nin`tun ng ndpc y aumer fn ngtrnme c ng su fnin`tc sn fntnrdjge pcr na veacr `crrjngtn fn paeze y fnhn snr pemefc fngtrc fn acs 5< fjes fna dns `eangferjc sjmujngtn e ae ngtrnme. Fj`oc `cgtretc ns `cgsngsuea, fnpngfn fna `cgsngdjngtc `cgsngdjngtc fn aes pertns, ns fn tre`tc su`nsjvc, ye qun aes prnste`jcgns sn oereg ng verjes in`oes, in`oes, ns cgnrcsc, ye qun `efe prcvjsjcg fn hjngns y snrvj`jcs fnhn snr pemefc. Ns ug `cgtretc fn `caehcre`jðg, ye qun na sudjgjstregtn, ea `udpajr ae prnste`jðg nste `caehcregfc ng ae e`vjfef `cdnr`jea fna hngn`jefc, hngn`jefc, ea jmuea qun nstn uadc ea pemer na prn`jc. Ns ug `cgtretc fn fure`jðg, crjmjgegfc uge crmegjze`jcg fn treheb trehebc. c. Ng fj`oc `esc sn tregsnrng acs hjngns e ae prcpjnfef fna sudjgjstrefc. Ns ug `cgtretc eaa qun oey qun fjsgmujrac fn ae `cdpre vngte `cdug, ert 5 5580, 580, ye qun uge fn aes pertns sn chajme e tregsinrjr ae prcpjnfef fn uge `cse, y ae ctre e pemer na prn`jc, pnrc ng fj`oc `cgtretc ae fure`jðg fn aes prnste`jcgns dutues, ae pnrjcfj`jfef y `cggujfef fn acs sudjgjstrcs, scg nsng`jeans `cdc chbntc fna `cgtretc, y ae fc`trjge sn ng`ungtre fjvjfjfe, oey qujngns ac `cgsjfnreg `cdc esjdjaehan e ug `cgtretc fn ac`e`jðg fn chre, epern`jngfc ae prnste`jðg des `cdc ug snrvj`jc fn rnsuatefc, tngnr ae `cse ng na dcdngtc cpcrtugc furegtn na tnrdjgc fn fure`jðg fna e`unrfc, ctrcs ac `cgsjfnreg `cdc ug `cgtretc suj mngnrjs, y fnhnrå egeajzersn fnpngfjngfc sus nandngtcs, nandngtcs, esj sj ae ngtrnme fn ae `cse ns ac fntnrdjgegtn, sn nsterå e uge jgtnrprnte`jðg efeatehan e ae gcrdeve fn ae `cdprevngte, ng `edhjc sj ae `unsðg rnaeve ea snrvj`jc y crmegjze`jðg fna rnsuatefc ns fn deycr jgtnrês, sn jgtnrprntere oe`je ae ac`e`jðg fn chre. Ae pcsj`jðg fntnrdjgegtn ns qun fnhng epaj`ersn aes gcrdes fn ae `cdprevngte, eug `uegfc ae `cg`rn`jðg fna sudjgjstrc rnqujnre fn trehebc prnperetcrjc `cdc crmegjze`jðg pere na degtngjdjngtc fn ae `cggujfef.

 

Na paezc punfn nster fntnrdjgefc fntnrdjgefc c snr jgfntnrdjgefc, jgfntnrdjgefc, sj iunre nstn uadc, `ueaqujnre `ueaqujnre fn aes pertns ac pcfrå rnscavnr, fegfc evjsc prnvjc, ng ug tnrdjgc rezcgehan supnrjcr e snsngte fäes. Ae prcpje getureanze fna `cgtretc fn sudjgjstrc, oe`n qun fnhe fnhe vnrsn `cdc uge ngfef y `cg uge ndhnrmefure tea qun egtn na sjdpan jg`udpajdjngtc fn uge ngtrnme c ieatn fn rntresc, c ng na pemc fn uge `ucte, nstcs on`ocs gc sneg gn`nserjedng gn`nserjedngtn tn mngnrevcs fn ae pcsjhjajfef rnscautcrje. Pj hjng na `cgtretc fn sudjgjstrc fnhn vnrsn `cdc uge ugjfef `cg`nptuea, su nbn`u`jðg pcr pertns, punfn pnrdjr qun na jg`udpajdjngtc fn uge ngtrnme gc mngnrn ae rnscau`jðg fn aes egtnrjcrns gj aes iutures, ng nstn `esc, sn pcfrå rn`aeder na rnser`jdjngtc fn acs feõcs y pnrbuj`jcs fnrjvefcs fna jg`udpajdjngtc. Na jg`udpajdjngtc fnhn snr fn uge mrevnfef jdpcrtegtn (ert 55?6 ``y`), qun ein`tn ea `cgtretc ng su tcteajfef, mngnregfc uge snrje fufe e`nr`e fn ae pcsjhjajfef fna `udpajdjngtc fna fna e`unrfc, ng nstn supunstc, ae rn`js rn`jsjcg jcg ugjaetnrea ns ae ògj`e seajfe pcsjhan pcsjhan,, fntnrdjgefc ng na ert 5