Unidad 3 - Ejercicios

 

  V`cdnd =; Lnin`mf df f`frhïn Fkfrmcmcas \fsufitas >.  ]f dfsfn mnif`tnr >62 oaifs par jarn df `-jfxn`a iïqucda n nto, y mnif`tnria n >62²M n prfscý` ma`stn`tf. Dfsprfmcf fi fefmta df in prfscý` salrf in f`tnipïn y mnimuif in vfiamcdnd n in quf dflf suoc`cstrnrsf suoc`cstrnrsf mniar ni pramfsa. In Tfluiicmcý`  dfi `-jfxn`a fs n 53²M, par ia tn`ta f` fstf rn`ha df mnif`tnocf`ta sf tcf`f u` mnolca df ensf

Dntas copartn`tfs;

∅ 5..=  >>22∜  W²_ ∜ ∜( ∜ ∜((²²)  >=>=8.8.44  >2∜ + 42.42.:6  >2∜  22∜  + 68.5555  >>22∜  

Rin`tfn`da fi lnin`mf df f`frhïn pnrn u` scstfon nlcfrta, quf pradumf a rfqucfrf df X;  

∅

Dflcda n quf in f`tnipcn fs u`n eu`mcý` df fstnda, fs dfmcr quf fs c`dfpf`dcf`tf df in trnyfmtarcn, sf vn n rfsaivfr usn`da fi oãtada df trnyfmtarcns jcpatãtcmns, sf snlf quf; qu f; T62²M

T> ?  

ΔJ 5 . =  > 2     :. : :     ∅ ∧   ∜ ∜   ?²  ∅ ∅ =8.44  >2∜ + 42.42.:6  >2∜  2∜   >4.6<    ∅ ∅ ∅ + ∅ + ∅   63>22∜   

 

?²    ∜ + =>22∜   ∧ > 4 : . :  > 2     ∅ ∧        ?² 

∅ + ∅ 2

 

 

 4.=><    ?²∧ >2∜ + >:.>:.5  >>22∜  + 2.3>22∜ + =2∜   2 In û`cmn c`mýh`ctn fs in T ec`ni, ni rfsaivfr qufdn;

  6=.6=. ²

 

Fkfrmcmcas Rrapufstas N`îicscs df hrndas df iclfrtnd >.  \fnicmf f` n`îicscs df hrndas df iclfrtnd (onsn y f`frhïn) f` fi scstfon df in echurn. Ma`scdfrf quf in prfscý` sf on`tcf`f ma`stn`tf.

\fspufstn; NHI? 2 =.  \fnicmf f` n`îicscs df hrndas df iclfrtnd (onsn y f`frhïn) f` fi fvnparndar c`stn`tî`fa, tarrf df dfstcinmcý`, rfjfrvcdar, ma`df`sndar y scstfon hialni.

Lnin`mf df f`frhïn sc` rfnmmcý` quïocmn ]V]TN@MCN] RV\N] ]c` mnolca df ensf

4.  V` tn`quf ma` u` pcstý` oývci ma`tcf`f u` hns c`cmcniof`tf n 22²M. Iufha, fi pcstý` sf iclfrn y fi hns rfniczn >22 K df trnlnka pnrn trnsindnr fi pcstý` n u`n u `n `ufvn pascmcý` df fquciclrca. In tfopfrnturn ec`ni dfi hns fs >22²M. n.  Dclukf u` fsqufon dfi pralifon.  l.  Fsmrcln in fmunmcý` df lnin`mf df f`frhïn pnrn mndn u`n df ins das ftnpns dfi pramfsa. pramfsa . m.  F`muf`trf ins c`mýh`ctns dfi pralifon. \fspufstn; m) ΔV> ? :=5: K7 ^ 22 K

Rraefsarn; O.]m. Iarf`n ^uc`mjufin Nyudn`tf; Nifkn`drn \csma

 

  6.  V`n turlc`n eu`mca`n ma` 622 gh/j df vnpar. Fi vnpar f`trn n in turlc`n n 44 nto y 462²M n u`n vfiamcdnd ic`fni df 52 o/s y snif f` u` pu`ta 6 o par dflnka df in f`trndn df in turlc`n n  prfscý` ntoaseãrcmn y vfiamcdnd df =52 o/s. In In turlc`n pradumf u` trnlnka trnlnka df 82 gX y sf fstcon quf in pãrdcdn par mniar fs df >22.222 gmni/j. n.  Dclukf u` fsqufon dfi pralifon  l.  Fsmrcln in fmunmcý` df lnin`mf df f`frhïn m.  Mnimuif fi mnolca df f`tnipïn fspfmïecmn nsamcnda ni pramfsa. \fspufstn; m) ΔJ? -562.66 gK/gh 5.  ]f maoprcof ncrf df >22 gRn y 222 gRn y 222 gh/j df ncrf1 \fspufstn; m) X? 5.26 gX Ma` mnolca df ensf

8.  Unpar df nhun (quf scrvf pnrn mnif`tnr lcaonsn) f`trn f` in mîonrn df vnpar df nhun (quf fstî sfpnrndn df in lcaonsn) df u` rfnmtar n .6 gK/s. Ias rfnmtcvas sf maiamn` f` fi rfmcpcf`tf n 22²M. ]c in mnrhn ma`scstf f` >62 gh df ontfrcni ma` u`n mnpnmcdnd mniarïecmn ofdcn df =. G -> n.  Dclukf u` fsqufon dfi pralifon.  l.  Fsmrcln in fmunmcý` df lnin`mf df f`frhïn m.  ±Muî`tas gciahrnoas df vnpar df nhun sf `fmfsctn` par gciahrnoa df mnrhn1 In mnrhn  pfron`fmf f` fi rfmcpcf`tf df rfnmmcý` rfnmmcý` durn`tf > j. \fspufstn; m) o? 8 gh/j :.  ]f ofzmin` das eiukas df nhun quf ma`stctuyf` in nicof`tnmcý` df u` mnif`tndar. Fi eiuka > c`hrfsn ni mnif`tndar n =2²M y fs >86 gh/oc`. In prfscý` dfi mnif`tndar fs >8 lnr. Fi eiuka df snicdn pnsn par u`n tulfrïn df dcîoftra 5 mo. n.  Dclukf u` fsqufon dfi pralifon.  l.  Fsmrcln in fmunmcý` df lnin`mf df f`frhïn m.  Mnimuif fi eiuka df f`trndn df mniar rfqufrcda pnrn fi mnif`tndar f` gK/oc`, sc fi eiuka df snicdn fstî snturnda n in prfscý` dfi mnif`tndar.

\fspufstn; m) ^ ? 8588=:.= gK/oc` 3.  Df u`n u`cdnd df sï`tfscs snif oftn`ai n u`n tfopfrnturn df :22²E y pnsn n trnvãs df u`n mnidfrn df mniar fxmfdf`tf f` in quf sf f`erïn7 f` fstf pramfsa sf hf`frn vnpar df snturnda n 82  pscn. In nicof`tnmcý` df nhun n in mnidfrn f`trn n 82²E y 82 pscn. Fi mamcf`tf f`trf in nicof`tnmcý` oainr dfi nhun y fi oftn`ai fs 2.< y sf supa`f quf in mnidfrn apfrn ndcnlîtcmnof`tf n.  Dclukf u` fsqufon dfi pralifon  l.  Fsmrcln in fmunmcý` df lnin`mf df f`frhïn

 

d. ±Muîi fs in tfopfrnturn df snicdn dfi oftn`ai1 \fspufstn; m) T ? 2.  ]f dfsfn fvnparnr >22 oaifs par jarn df `-jfxn`a iïqucda n >.  ]f nicof`tn n u` c`tfrmnolcndar df mniar < oai/s df u`n ofzmin f` earon df vnpar, 62%  lf`mf`a y 62% taiuf`a. In tfopfrnturn df f`trndn fs 52²M y in df snicdn fs 62 n >=.  ]f dfsfn mnif`tnr dfsdf 2% f` vaiuof` df oftn`a y 32% df ncrf. Mnimuinr in vfiamcdnd df f`trndn df mniar rfqufrcdn f` gX sc in vfiamcdnd df eiuka dfi hns fs 4.  V`n ofzmin fqucoainr df lf`mf`a y taiuf`a n >2²M nicof`tn ma`tc`unof`tf u` rfmcpcf`tf da`df sf mnicf`tn in ofzmin n 62²M. Fi pradumta iïqucda ma`tcf`f 42% f` oai df L y fi  pradumta vnpar 5:.4% f` oai df L. ±Muî`ta mniar dflf trn`sefrcrsf n in ofzmin par oai df nicof`tnmcý`1 \fspufstn; ^ ? nto ma` 62% df ncrf f` fxmfsa quf fstî n >222²E. Ias pradumtas df in maolustcý` snif` df in mîonrn df maolustcý` n :22²E. Mnimuif fi mniar hf`frnda f` in mîonrn fxprfsnda f` LTV/il MA quf f`trn. \fspufstn; ^ ? ->5.  V` oc`frni df jcfrra quf ma`tcf`f :6% df Ef]< y >6% df hn`hn (tcfrrn c`frtf) sf tufstn ma` A