Lab S06 Medina 2021 2

 

Oíteies Dukhtmtktmves 

JWMK IG @KAEQKYEQME 2< IMTYQMAWDMEHGT IG ^QEAKAM@MIKI HEQOK@ Ygok<

Dk`du`e g mhtgrprgtkdmôh ig` dë`du`e ig preakam`mikigs deh imstrmaudmehgs ig preakam`miki Herok`  

MHYGJQKHYGT<

- [umrez Dkrrgrk, Argsdmk - Tmdcgz Ourjk, Heg`mk - B`ergs Akrakrkh, Lesgpc M.- QGTWG@RK @ET TMJWMGHYGT DKTET<

DKTE H¼ >;<

G` tmgope ig iurkdmôh ig `es bedes ig k`uoarkie g`ídtrmde preiudmies per uhk deopkûïk g`ídtrmdk tmghg uhk imstrmaudmôh herok` deh uhk ogimk ig ;>>> cerks y uhk igsvmkdmôh gstëhikr ig 17> cerks. Igtgromhkr `k preakam`miki ig qug< k.  Wh bede teokie k` kzkr sg qugog khtgs ig `ks ==> cerks ig buhdmehkomghte

a.  Wh bede sí qug qugog ghtrg =3> y ;;1> cerks ig buhdmehkomghte.

;

 

Oíteies Dukhtmtktmves 

d.  Wh bede iurg oës ig =7> cerks

DKTE H¼ >1< G` akr ‐Wh pkr oës‟

ck mhstk`kie uhk oëqumhk kuteoëtmdk pkrk `k vghtk ig dgrvgzk. @k oëqumhk

pugig rgju`krsg ig oeie qug `k dkhtmiki ogimk ig dgrvgzk per vkse sgk `k qug igsgk6 smh goakrje, gh duk`qumgr dkse gstk dkhtmiki tghirë uhk imstrmaudmôh herok` deh uhk igsvmkdmôh gstëhikr ig 7.= om`m`mtres. k)  Tm g` hmvg` ogime sg klustk k 4>9.2 om`m`mtres, µ[uí perdghtklg ig `es vkses dehtghirëh oghes ig 1=75: om`m`mtres5 ΰ ? 55 τ ? 7.= ΰ  Tm ? 4>9.2

^( S 0 1=7.:) ? ^ (

∑   0 .∑.  ? ^ (\ 0 -;.7;) ? >.>277; ? 2.77;%  .

a)  µK quí hmvg` ogime igag klustkrsg `k oëqumhk pkrk qug sô`e g` 1513% ig `es vkses dehtghjkh oghes ig 1=7.: om`m`mtres5 ΰ ? 55

^(S 0 1=7.:) ? >.>113 ^(

∑   0 .∑ ? >.>113  .

^(\ 0 \> ) ? >.>113

 ? .∑ .   -1 ?

.∑ ? 4>:.7 .

DKTE H¼ >4<

@k ogimk ig` imëogtre mhtgrmer ig uhk ougstrk ig 1>> `kvkierks preiudmiks per uhk oëqumhk

gs ;,1:7do. ] `k igsvmkdmôh tïpmdk ig >,>;17do. G` prepôsmte pkrk g` duk` sg ckh imsgûkie `ks `kvkierks pgromtg uhk te`grkhdmk oëxmok gh g` imëogtre ig ;,12do. K ;,1=do., ig etrk berok `ks `kvkierks sg dehsmigrkh igbgdtuesks. 1

 

Oíteies Dukhtmtktmves 

K)  Igtgromhkr g` perdghtklg ig `kvkierks igbgdtuesks preiudmiks per `k oëqumhk, supehmghie qug `es imëogtres gstëh imstrmaumies herok`oghtg. A)  µ[uí perdghtklg ig `kvkierks he gstëh igbgdtuesks5 S

 H

(;.1:76 >.>;17)1)

^ (;.12 0 S 0 ;.1=) ^ (S 0 ;.1=) — ^ (S 0 ;.12)

      ≩ ;.12;.1:7)  )   (  (      ≩ ;.1=;.1:7 >.>;17  >.>;17 ^ (\ 0 ;.1) — ^ (\ 0 -;.1) ? >.339= — >.;;7; ? >.:2=3

@ks pmgzks ig pkh ig dghtghe imstrmaumiks gh `ks tm tmghiks ghiks `edk`gs per dmgrtk pkstg`grïk tmghgh uhk `ehjmtui preogime ig 1> do y uhk igsvmkdmôh gstëhikr ig ;.7 do. K` supehgr qug `ks `ehjmtuigs gstëh herok`oghtg imstrmaumiks, µ[uí perdghtklg ig `ks pmgzks gstëh<

DKTE H¼ >7<

k.  Ghtrg ;=.9 y 1=.4 do

a.  Tm sg preiudgh gh uh iïk ;37>> ; 37>> pmgzks, µDuëhtks sg gspgrk qug tghjkh uhk `ehjmtui ogher k ;35= ; 35= do5

4

 

Oíteies Dukhtmtktmves  DKTE H¼ >2< Tupehjk qug uh bkarmdkhtg ig

``khtks igsgk gstka`gdgr uhk jkrkhtïk ig fm`eogtrklg oïhmoe pkrk su hugvk ``khtk OS;>>. @ks prugaks rgvg`kh qug g` fm`eogtrklg ogime gs ig ::>>> fo, deh uhk igsvmkdmôh gstëhikr ig 44>> fo. y smjug uhk imstrmaudmôh herok`. G` bkarmdkhtg qumgrg gstka`gdgr g` fm fm`eogtrklg `eogtrklg oïhmoe jkrkhtmzkie jkrkhtmzkie ig oeie qug he sg igak rggop`kzkr oës ig` 9% ig `ks ``khtks. `` khtks. µ[uí fm`eogtrklg oïhmoe jkrkhtmzkie igagrë khuhdmkr g` bkarmdkhtg5  ΰ  τ  

? ::>>> 

? 44>>

^ (S 0 S>) ? >.>9

::>> ::>>>>) ? >.>9   (      0   44>> ^ ( \ 0 \ > ) ? >.>9

\> ? -;.:7

∑ ?;.:7  

S> ? :;117

Whk goprgsk bkarmdkhtg ig sepks g`kaerk 3 vkrmgikigs ig imdce preiudte. @k `ktk herok` ig sepk dehtmghg uh oëxmoe ig ;; ehzks omghtrks qug `k gtmqugtk imdg qug g` dehtghmie gs i ;>.:7 ehzks. G` gspkdme kimdmehk` ig uh dukrte ig ehzk gs pkrk tghgr gh dughtk `k pesmam`miki ig qug `k ``ghkierk kuteoëtmdk pe pehjk hjk oës sepk ig `e qug `k goprgsk rgk`oghtg igsgk qug dehtghjk `k `ktk. @k gxpgrmghdmk igougstrk qug `k dkhtmiki ig ehzks de`edkiks gh uhk `ktk tmghg imstrmaudmôh kprexmokikoghtg kprexmokikoghtg herok` deh preogime ;>.:7 ehzks y igsvmkdmôh tïpmdk ig >.; ehzks. µDuë` gs `k preakam`miki ig qug `k oëqumhk ckjk qug `k sepk sg igrrkog ig `k `ktk5

DKTE H¼ >:<

^ S 8 ;; ? ^ (      8 ;;;>.:7 >.;> )  81.7?;01.7?;>.==43?>.>>21   DKTE H¾>3< Whk deopkûïk ghvkskierk ig dehsgrvks, ebrgdg gh g` ogrdkie `ktks ig krvglks gh duyk gtmqugtk gstka`gdg

qug g` pgse gs ig ;: ehzks. @k deopkûïk he igsgk searg``gvkr `ks `ktks hm tkopede igsgk qug he tghjkh g` pgse deop`gte. @es pgses ig `ks `ktks sg ghdughtrkh herok`oghtg imstrmaumies. @k ogimk ig` pgse hgte ig `ks `ktks sg pugig dehtre`kr klustkhie `k oëqumhk ``ghkierk, omghtrks, omghtrks, qug `k igsvmkdmôh gstëhikr he sg pugig k`tgrkr, pugste qug rgb`glk `k dkpkdmiki `k oëqumhk pkrk preiudmr uhmberog. sg skag `k igsvmkdmôh gstëhikr gs igig>.;3 ehzks. Tm `k deopkûïk he``ghkie igsgk preiudmr oës^er ig gxpgrmghdmks >.7% ig `ktkspkskiks deh uh pgse hgtequg ogher qug g` qug sg ebrgdg gh `k gtmqugtk. µK quí pgse hgte preogime igag klustkrsg k `k oëqumhk ``ghkierk5

  ? >.;3

τ 

^ (S 0 ;:) ? >.>>7

 (      0 ;: >.;3 )?>.>>7  ^ (\ 0 \>) ? >.>>7  \> ? -1.73 

∑ ?1.73    .

ΰ?

;:.929  9

 

Oíteies Dukhtmtktmves 

DKTE H¾>=< @es oehtes ig imhgre qug sg pmigh

gh `ks se`mdmtuigs ig prístkoes gh AD^ tmghg uhk imstrmaudmôh herok`,

deh uhk ogimk ig $:>,>>> y uhk igsvmkdmôh gstëhikr ig $1>,>>>. Gstk okûkhk sg rgdmamô uhk se`mdmtui ig pr prístkoe. ístkoe. µDuë` gs `k preakam`miki ig qug< k)  µG` oehte se`mdmtkie sgk ig $27,>>> e supgrmer5

a)  G` oehte se`mdmtkie esdm`g ghtrg $27,>>> y $3>,>>>

d eh uhk pea`kdmôh ig oës ig 1 17>,>>> 7>,>>> ckamtkhtgs, `k ogimk DKTE H¾;>< Ghtrg `ks dmuikigs ig Gstkies Whmies deh ig` tmgope ig vmklg ig mik k` trkakle gs ig 19.4 omhutes. G` tmgope ig vmklg oës `krje pgrtghgdg k `k dmuiki ig Hugvk ]erf, iehig g` tmgope ogime gs ig 43.4 omhutes. Tupehjk qug `k imstrmaudmôh ig `es tmgopes ig vmklg gh `k dmuiki ig Hugvk ]erf tmghg uhk imstrmaudmôh ig preakam`miki herok` y `k igsvmkdmôh gstëhikr gs ig :.7omhutes. k)  µ[uí dkhtmiki dkhtmiki ig omhutes dehsuogh dehsuogh oghes ig 4> omhutes sm g` perdghtklg perdghtklg ig vmklgs bug ;4547%5 7

 

Oíteies Dukhtmtktmves 

a)  µ[uí perdghtklg ig vmklgs dehsuogh ghtrg 4> y 47 omhutes5

DKTE H¾;;<

@ks vghtks oghsuk`gs ig sm`ghdmkiergs gh g` ërgk ig Qmdcoehi, Rmrjmhmk, tmghg uhk imstrmaudmôh

herok`, deh uhk ogimk ig $;,1>> y uhk igsvmkdmôh gstëhikr ig $117. K` bkarmdkhtg `g justkrïk gstka`gdgr hmvg`gs ig mhvghtkrme ig okhgrk qug se`e ckyk 7% ig preakam`miki ig qug sg kjetgh `ks gxmstghdmks. µIôhig sg igagh gstka`gdgr `es hmvg`gs ig mhvghtkrme5

2

 

Oíteies Dukhtmtktmves 

Gh 1>;9 y 1>;7, g` deste ogime khuk` pkrk ksmstmr k uhk uhmvgrsmiki prmvkik gh Gstkies Whmies grk ig $1>,>31. Tupehjk qug `k imstrmaudmôh ig`es destes khuk`gs sg rmjgh per uhk imstrmaudmôh ig preakam`miki herok` y qug `k igsvmkdmôh gstëhikr gs ig $9,7>>. G` =7% ig `es gstuimkhtgs ig uhmvgrsmikigs prmvkiks pkjk oghes ig µ[uí dkhtmiki5 DKTE H¾;1<

  9,7>> 1>,>31 ?;.29  ;.29 Ú 9,7>> ? x∑1>,>31  :,43> ? x∑1>,>31 

S ? 1>,>31+:,43> S ? 1:.921

G` bkarmdkhtg ig uhk moprgserk `ësgr mhberok qug `k dkhtmiki ogimk ig pëjmhks qug moprmog uh dkrtudce khtgs ig rggop`kzkr`e gs ig ;1,1>>. ;1 ,1>>. @k imstrmaudmôh ig pëjmhks moprgsks per dkrtudce sg kprexmok DKTE H¾;4<

k `k imstrmaudmôh ig preakam`miki herok` y `k igsvmkdmôh gstëhikr gs ig 31>pëjmhks. G` bkarmdkhtg igsgk preperdmehkr `mhgkomghtes k `es pesma`gs d`mghtgs searg g` tmgope qug igagh gspgrkr qug `gs iurg uh dkrtudce. µDuëhtks pëjmhks igag mhimdkr g` bkarmdkhtg per dkrtudce sm igsgk eatghgr==% ig dgrtgzk gh teie oeoghte5

:

 

Oíteies Dukhtmtktmves 

Gh uhk dmuiki sg gstmok qug `k tgopgrkturk oëxmok gh g` ogs ig luhme smjug uhk imstrmaudmôh herok`, deh ogimk 14¾ y igsvmkdmôh tïpmdk 7¾. Dk`du`kr g` hüogre ig iïks ig` ogs gh `es qug sg gspgrk g spgrk k`dkhzkr oëxmoks ghtrg 1;¾ y 1:¾. (HEYK< Dehsmigrkr 4> iïks pkrk g` ogs ig luhme) DKTE H¾;9<

>.9942 *4> ?;4.43 ;4 IMKT

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