MIET2394 Assignment 1

 

CODV:;?6 ‛  Kgcputetoghei  Kgcputetoghei Aiuof Fyhecoks REssonhcdht -ES  Aiuof Aigw tmrgunm eh Z-jdhf Kmehhdi 51.0=.:0:0

5

OHVZGFTKVOGH

E kiess ga stufdhts mevd jddh prdsdhtdf wotm e prgjidc tg dxpigrd Kgcputetoghei Aiuof Fyhecoks tmrgunm tmd usd ga E_[_[ KA], stufdht cust ruh e socuietogh ga aiuof aigw tmrgunm tmd krgss sdktogh ga eh Z-Jdhf ndgcdtry. [tufdhts erd rdquordf tg gjteoh tmd fdteois ga aiuof aigw tmrgunmgut tmd Z-Jdhf, hecdiy tmd prdssurd, vdigkoty ehf vdktgr  jdmevogr, stufdhts woii aohf e rdkorkuietogh ga ga aiuof aigw zghd ehf cust aohf tm tmdd rdettekmcdht igketogh eighn tmd y fordktogh. Vmos woii jd fghd jy pdragrcohn e prdiocohery KAF eheiysos usohn EH[_[ KA] usohn kdrteoh tdkmhoquds tg essonh cgfdi prgpdrty perecdtdrs, sdidkt tmd epprgproetd KAF sgivdr sdttohns ehf sdt up tmd jguhfery ehf ohotoei kghfotoghs. ^otmoh tmos rdpgrt ot os fdcghstretdf mgw tg utoiosd pgstprgkdssohn tdkmhoquds oh EH[_[KA]  tg gjteoh usdaui KAF socuietogh fete, wmokm ohkiufd prdssurd fostrojutogh, vdigkoty veroetogh oh tmd wmgid ehf spdkoaodf rdnogh ga tmd kgcputetoghei fgceoh.

: :.5

CDVMGFGIGN_ Ndgcdtry

Fdsonhdf os eh Z-jdhf kmehhdi, tmd woftm ga tmd kmehhdi fgujids eatdr tmd jdhf ehf keh jd rdprdsdhtdf e twgfocdhsoghei (:F) prgjidc eitmgunm ot os e ;-focdhsoghei Z-jdhf. Krdetohn tmd cgfdi woii jd fghd oh EH[_[ ”FdsonhCgfdidr‟, tmd ndgcdtry focdhsoghs focdhsoghs keh jd gjsdrvdf oh Aonurd 5 Vejid 5 ‛   Ndgcdtry Focdhsoghs M5 = M;

:

Q:

5

Q6

50

Z4

5

:.:

Cdsmohn

EH[_[ woii cdsm ndhdretd Cdsm tmd uhoagrc gvdr e ndgcdtry wmokm woii  jrdeb fgwh tmd cgfdi ohtg hgfds ehf didcdhts, EH[_[ woii usd tmd ngvdrhohn dquetoghs tg sgivd dekm hucjdr ga  didcdhts ohfovofueiiy. Vmos keh jd fghd jy twg cdtmgfs2 Aohotd Foaadrdhkd (AF) wmokm epprgxocetds Aonurd 5 - KA] Ndgcdtry usohn foaadrdhkd dquetoghs, ehf Aohotd Qgiucd (AQ) jy usohn eindjreok dquetoghs tg keikuietd tmd pertoei foaadrdhtoei dquetoghs. EH[_[ Cdsm usds AQ cdtmgfs, tmos woii jd aurtmdr fdskrojdf oh tmd agiigwohn sdktogh ga tmos rdpgrt (sdktogh :.;). Vmd cdsm fgceoh agr tmos rdpgrt usds e :-Focdhsoghei rdktehnuier cdsm fud tg tmd socpid smepd ga tmos ndgcdtry ehf keh jd gjsdrvdf oh aonurd… 5

 

 

 Hetureiiy, e cdsm ohfdpdhfdhkd tdst woii jd hddfdf tg jd pdragrcdf oh grfdr tg fdtdrcohd mgw tmd cdsm aohdhdss verods tmd rdsuits ga tmd KAF eheiysos, tmd rdettekmcdht pgoht os eh edre ga kghkdrh agr tmos rdpgrt. :.;

Cgfdi [dtup

^otmoh tmd cgfdi sdt up tmd Hevodr [tgbds dquetoghs erd tmd procery ngvdrhohn dquetoghs oh focdhsoghidss agrc tmet erd jdohn sgivdf2

 ∊ u ∊ u  ∊u  + 3 0 ∊x ∊ y : :  ∊ u   ∊ u √∊ P   5 ∊ u ∊ u u   + ℙ( : + :) +v 3 ∊x ∊y ∊x ∊ x ∊x : ∊ v   ∊ v √∊ P   5 ∊ v ∊: v u  + v 3 ) +  + ( ∊x ∊y ∊ y ℙ ∊ x: ∊ x:

Cess Kghsdrvetogh2 Cgcdhtuc Kghsdrvetogh2

Vmdsd dquetoghs essucd tmet tmd aiuof aigw os stdefy stetd, :-focdhsghei ehf ohkgcprdssojid. Furohn tmd cgfdi sdt up stend ga tmd prgkdss tmd fgceoh ehf jguhfery kghfotoghs cust jd spdkoaodf, tmdsd keh jd gjsdrvdf oh tejids 5, : ehf ;. Vejid : Fgceoh ZJDHF

Hgfds 1:60

Didcdhts :=?=

Vejid ; Fgceoh - ZJDHF Vypd Aiuof Igketogh J:= Cetdroeis Cetdroei 5 Aiuof Fdaohotogh Cetdroei Iojrery Cgrpmgigny Kghtohugus Aiuof [dttohns Jugyehky Cgfdi Hgh-jugyeht Fgceoh Cgtogh [tetoghery Zdadrdhkd Prdssurd 5 etc Vurjuidhkd Cgfdi Iecoher   Vejid 6

:

 

Jguhferods - ZJDHF Jguhfery ‛ Ohidt Vypd OHIDV Igketogh Ohidt [dttohns Aigw Zdnocd [ujsghok Cess ehf  Hgrcei [pddf Cgcdhtuc  Hgrcei [pddf 5 c sX-5 Jguhfery ‛ Gutidt Vypd Igketogh

GTVIDV Gutidt [dttohns [ujsghok Evdrend [tetok Prdssurd 4.0d-:

Aigw Zdnocd Cess ehf Cgcdhtuc Prdssurd prgaoid  jidhf Zdietovd Prdssurd Pr Prds dssu surd rd Evdr Evdren enoh ohn n

Vypd Igketogh

0.0d0 Pe Evdr Evdren endd gvd gvdrr wmg wmgid id gutidt Jguhfery - [yccdtry [_CCDVZ_ [yc5, [yc:

Vypd Igketogh Cess ehf Cgcdhtuc

Jguhfery ‛ ^eii ^EII ^eii5, ^eii: [dttohns  Hg siop weii

Vejid 4 ‛ Cetdroei Prgpdrtods Fyhecok Qoskgsoty F ty gfdi AidghwsoC Mdet Cgfdi

; ;.5 ;. 5

0.05 5 Iecoher Hghd

:F

ZD ZD[T [TI IV[ EH EHF F FO FO[K [KT[ T[[O [OGH GH[ [ Zdyh Zdyhgi gifs fs hucj hucjdr dr Zd 3 500 500 kesd kesd

Vejid 1 ‛ Prdssurd Kghtgur 

;

 

Ot cey jd hgtdf tmet tmd monmdst prdssurd keh jd gjsdrvdf es et tmd dhtrehkd ga tmd Z-Jdhf gr ”Ohidt‟ ehf nrefueiiy fdkrdesds wmoid tmd aigw os fdvdigps tmrgunmgut tmd Z-jdhf, tmd prdssurd eppders tg jd igwdst et lust jdagrd tmd rdkorkuietogh pgoht, erguhf tmd jdhf. Zdaidktohn gh tmos, ot os hgtdf tmet sukm monm prdssurd jdmevogr os tg jd dxpdktdf fud tg tmd aigw mevohn hgt ydt auiiy fdvdigpdf, oh tmdsd erdes sceii dffods ehf iernd tdcpdreturd nrefodhts erd prdsdht fud tg tmd trehsadr oh cgcdhtuc argc zdrg tg aiuof aigw. Vmd igw prdssurd jdmevogr keh jd dxpieohdf jy tmd pmdhgcdhe keiidf Efvdrsd Prdssurd : ∊u ∊u  kgcpghdhts ga tmd vdigkoty prgaoid tg jd nrdetdr Nrefodht, wmokm, fud tg tmd ndgcdtry kmehnd keusd tmd  ehf : ∊y ∊y

tmeh 0. Vejid > ‛ Qdigkoty Qdktgr 

Argc tmd ocends ejgvd, ot os gjsdrvdf tmet tmd vdigkoty fdkrdesds es tmd aigw fdvdigps jut os et ot‟s monmdst (refoei) et tmd kdhtdr ga tmd tujd strdec. Vmd prdssurd nrefodht ehf foaausogh tdrcs jdkgcd cgrd prgcohdht et tmd dfnd fud tg …

6

 

Vejid =

;.:

Cdsm Cdsm ohfdp ohfdpdhf dhfdhk dhkdd td tdst st (gh (gh ttmd md Zd Zd 3 5 500 00 cgfdi cgfdi ghiy ghiy))

Zdaidktohn gh tmos, e igkei cdkm rdaohdcdht cey jd hdkdssery oh kdrteoh erdes sukm es kigsd tg jgtm weiis ehf eighn tmd jdhf, dspdkoeiiy tmd ohhdr weii tmrgunmgut tmd jdhf ehf sgcdtocd eatdr. Vmos wguif novd tmd jdhdaot ga aurtmdr ekkureky sohkd tmdsd erdes woii mevd sukm pmdhgcdhe es sceii dffods ehf monm tdcpdreturd nrefodhts, auiiy fdvdigpdf vdigkotods oh erdes sukm es tmd coffid ga tmd aiuof aigw woii hgt hddf sukm rdaohdcdht.

4

 

;.;

Qeroet Qeroetogh ogh ga rrdko dkorku rkuiet ietogh ogh zghd zghd sozd sozd wotm rdsp rdspdkt dkt tg Zdyh Zdyhgif gifss hucjdr hucjdr

Ot os hgtdf tmet es tmd Zdyhgifs hucjdr wotmoh fgceoh ohkrdesds, sg fgds tmd aigw rdettekmcdht idhntm.

;.6

Tsohn Tsohn tmd tmd KAF KAF socuie socuietogh togh rdsuit rdsuit tg tg fd fdrovd rovd e cetmdc cetmdcetoke etokeii cgfdi cgfdi aagr gr prdfok prdfoktogh togh

Vejid ? Zdettekmcdht Pgoht -6.56D+00

6

Zdyhgifs Hucjdr 500 540 :00 :40

KGHKIT[OGH[

Vmrgunmgut tmos rdpgrt ot os smgwh tmd socuietdf :-Focdhsoghei, ohkgcprdssojid aigw wotm hg mdet trehsadr tmrgunm e typokei Z-Jdhf ndgcdtry. Vmos rdpgrt keh kghkiufd tmet tmd aigw wotmoh tmd Z-Jdhf smgws sonhs ga rdkorkuietogh, ehf rdettekmcdht eighn ehf sggh eatdr tmd jdhf. Vmdsd igketoghs eighn _ ehf sozd ga rdkorkuietogh zghd smgw tg ohkrdesd wotm ohkrdesohn Zdyhgifs hucjdr. Vmd cdsm mes eisg smgwh tg jd krotokei oh tmd ekkureky ga tmd rdsuits, tmd t md ohfdpdhfdht cdsm tdst eppiodf oh tmos rdpgrt smgws sonhs ga rdfukohn ekkureky wotm e kgursdr cdsm.

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