InformeCPMF4 GR3 Araujo Apellido2

 

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A^NQABO TGBF[ÆNEFNO EONFGEOB @ONQB[OK KA FEMAEFASÈO HANÏEFNO BOCGSO[GSFG KA HANÏEFNO KA @BQFKG^

TSÏN[FNO ;< TÆSKFKO^ HAEGSA^ 3

KO[G^ FE@ E@G GSHO[FPG^

Mrupg< MS#> Fetamroetas< Bufs Akuorkg Oroulg Baþe

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GC GCLA LA[F [FPG PG^^ ((> >p prg rgpf pfgs gs „ 4 4..1p 1pts ts)) Katarhfeor y oeobfzor bos pærkfkos qua sa prgkunae pgr bo normo ka ue `ufkg qua nfrnubo o trovæs ka ueo vïbvubo ka cgbo.

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KA^OSSGBBG (3.1pts) Alah Alahpb pbg g ka ka Nïb Nïbnu nubg bg (4.1 (4.1pt pts) s)

Katobbor ue alahpbg ka nïbnubg poro ue onnasgrfg. Aspanfnor ab hætgkg ubfzokg y bo cfcbfgmroo ngesubtoko. ^f sa uso ab hætgkg ka bo bgemftuk aqufvobaeta (nghg ae nfartgs onnasgrfgs ka Hg), gctaear ab ontgr ka rfnnfþe () pgr hakfg ka bo anuonfþe ka Ngbacrggi.

Alahpbg ka Nïbnubg< Pïbvubo ka Mbgcg [gtobhaeta Ocfarto Kfïhatrg ?=.3 hh 3

 O 8τ ∝r

(  )

4.4?=3  O 8τ ∝ 3

3

∓>

 O 84.3>3>1  x ?4

P 8

3

_  O 4.4446

P 8

h

h

>

s

4.3>3>1  x ?4∓> h 3

 

P 8 >.:=>;

h s

3

  P  j B 8 I  3m  I 8 ?4 3

j B 8 ?4∝>.:=>; 3∝6.:? j B 8=.0;=4 h

jaxp 8:.;? h

% Arrgr 8

% Arrgr 8

j B ∓ jaxp j B

∝?44

=.0;=4 ∓ :.;? =.0;=4

% Arrgr 8 6.6 6.6==; ==; %

∝?44

 

;.3 ;.3

[o [ocb cboo ka ka ras rasub ubto tokg kgss (?pt (?pt)) [ocbo ?< [ucarèo ka ?=.3 hh, Omuo, onarg fegxfkocba, Pïbvubo ka Mbgcg [gtobhaeta ocfarto.

Kfïhatr g YhhX

Noukob Yh> / s X

?=.3

4,4446 4,444: 4,444= 4,4440 4,4441

Pïbvubo ka Mbgcg [gtobhaeta ocfarto Tarkfkos Ïrao Pabgnfkok I [aþrfnos Yh3X Yh/sX [aþrfng YhX

4,4443>3>1

>,:=>; >,;;>4 >,4?30 3,1:33 3,?1?6

?4

=,0;=4 0,4;34 ;,0316 >,>6:0 3,>04?

Tarkfkos Axparfhaetobas YhX

% Arrgr

:,;? 0,=1 1,;> ;,43 3,==

6,6==; ??,=?03 ?=,>:41 ?:,3:?> ?=,>0>>

[ocbo 3< [ucarèo ka ?=.3 hh, Omuo, onarg fegxfkocba, Pïbvubo ka Nghpuarto [gtobhaeta ocfarto.

Kfïhatr g YhhX

Noukob Yh> / s X

?=.3

4,4446 4,444: 1 4,444: 4,444= 0 4,444=

Pïbvubo ka Nghpuarto [gtobhaeta ocfarto Tarkfkos Tarkfkos Ïrao Pabgnfkok I [aþrfnos Axparfhaetobas Yh3X Yh/sX [aþrfng YhX YhX >,:=>; >,01:3 4,4443>3>1

>,;;>4

4.3

>,3=4: >,4?30

% Arrgr

4,?136 4,?>0;

4,3 4,?:

>4,=06: >?,6;03

4,?34: 4,?464

4,?1 4,?3

3;,?36? ?4,4>?>

4,4631

4,??

?:,:6>=

[ocbo >< [ucarèo ka ?=.3 hh, Omuo, onarg fegxfkocba, Pïbvubo ka Cgbo [gtobhaeta ocfarto.

Kfïhatrg Noukob YhhX Yh > / s X 4,4446 4,444: 4,444= 4,4440 4,4441

?=.3

Pïbvubo ka Cgbo [gtobhaeta ocfarto Tarkfkos Ïrao Pabgnfkok I [aþrfnos Yh3X Yh/sX [aþrfng YhX

4,4443>3>1

>,:=>; >,;;>4 >,4?30 3,1:33 3,?1?6

4.41

4,4>:3> 4,4>43 4,43>? 4,4?06 4,4??:

Tarkfkos Axparfhaetobas YhX

% Arrgr

4,41 4,4; 4,4> 4,43 4,4?

>4,=06: >3,;4;; 36,=43> ?=,063: ?1,30??

[ocbo ;< [ucarèo ka ?=.3 hh, Omuo, onarg fegxfkocba, Ngeaxfþe ae [ Sgsnoko (`ulg karfvokg).

Kfïhatrg

Noukob

Ngeaxfþe ae [ Sgsnoko (`ulg karfvokg) Ïrao Pabgnfkok I Tarkfkos

Tarkfkos

% Arrgr

 

;.>

YhhX

Yh > / s X

?=.3

4,4446 4,444: 4,444= 4,4440 4,4441

Yh3X

Yh/sX

4,4443>3>1

>,:=>; >,;;>4 >,4?30 3,1:33 3,?1?6

[aþrfng

[aþrfnos YhX

Axparfhaetobas YhX

3

?,136; ?,34:; 4,631? 4,0=6= 4,;=34

?,=0 ?,;> ?,?3 4,61 4,1:

?1,4==; ?:,>>0; 3?,411; >6,=043 33,:=?>

Mrïnos ((? ?pt)

^a kacae trozor bos mrïnos ka pærkfkos ae uenfþe kab noukob poro noko onnasgrfg. Ae bo mrïno ka noko onnasgrfg kacarïe ngestor kgs nurvos< ueo ka vobgras ka pærkfkos taþrfngs y bo gtro nge bgs vobgras ka pærkfkos gctaefkgs axparfhaetobhaeta, gctaefæekgsa gctaefæekgsa bo bèeao ka taekaenfo (ka sar eanasorfg). [ohcfæe raobfzor ueo mrïno nghporovo poro tgkgs bgs onnasgrfgs ka pærkfkos ae uenfþe kab noukob poro bgs vobgras axparfhaetobas (ueo sgbo mrïno)

Mrïno ?< Tarkfkos pgr rfnnfþe YhX vs Noukob Y h>/sX, Omuo, Pïbvubo ka Mbgcg [gtobhaeta ocfarto.

Pïbvubo ka Mbgcg [gtobhaeta [gtobhaeta ocfarto 6 : =     X    h 0     Y    s 1    o ;     k    f     k >    r     æ    T 3 ? 4

(x) 8 13?;3:1.=? x³ + 0=?4 x ∓ ?.:: S³ 8 ?

4

4

4

4

4

4

4

4

4

Noukob Yh>/sX Tarkfkos [agrfnos Tgbyeghfob (Tærkfkos Axparfhaetobas )

Tærkfkos Axparfhaetobas

Mrïno 3< Tarkfkos pgr rfnnfþe YhX vs Noukob Y h >/sX, Omuo, Pïbvubo ka Nghpuarto [gtobhaeta ocfarto.

 

Pïbvubo ka Nghpuarto Nghpuarto [gtobhaeta [gtobhaeta ocfarto 4.31 4.3     X    h     Y 4.?1    s    o     k 4.?    f     k    r     æ 4.41    T 4

(x) 8 =:>1=1.; x³ ∓ =06.46 x + 4.30 S³ 8 4.6=

4

4

4

4

4

Noukob Yh>/sX Tarkfkos [agrfnos Tgbyeghfob (Tærkfkos Axparfhaetobas )

Tærkfkos Axparfhaetobas

Mrïno >< Tarkfkos pgr rfnnfþe YhX vs Noukob Y h>/sX, Omuo, Pïbvubo ka Cgbo [gtobhaeta ocfarto.

Pïbvubo ka Cgbo [gtobhaeta ocfarto 4.40 4.41

(x) 8 4 x³ + ?44 x ∓ 4.4; S³ 8 ?

    X 4.4;    h     Y    s    o 4.4>     k    f     k    r     æ 4.43    T

4.4? 4

4

4

4

4

4

4

4

4

4

Noukob Yh>/sX Tarkfkos [agrfnos Tgbyeghfob (Tærkfkos Axparfhaetobas )

Tærkfkos Axparfhaetobas

Mrïno ;< Tarkfkos pgr rfnnfþe YhX vs Noukob Y h >/sX, Omuo, Ngeaxfþe ae [ Sgsnoko (`ulg karfvokg).

 

Ngeaxfþe ae [ Sgsnoko (`ulg karfvokg) kar fvokg) 3 ?.: (x) 8 ;3:1=?.;> x³ + 33;4 x ∓ 4.03 S³ 8 4.66

?.0 ?.;     X    h ?.3     Y    s ?    o     k    f     k    r     æ    T

4.: 4.0 4.; 4.3 4

4

4

4

4

4

4

4

4

4

Noukob Yh>/sX Tarkfkos [agrfnos Tgbyeghfob (Tærkfkos Axparfhaetobas )

Tærkfkos Axparfhaetobas

Mrïno 1< Tarkfkos pgr rfnnfþe axparfhaetob YhX vs Noukob Y h>/sX, Omuo, Nghporonfþe aetra bgs ; onnasgrfgs.

 

Tærkfkos Axparfhaetobas vs Noukob 6 : = 0

    X    h 1     Y    s    o     k    f ;     k    r     æ    T

> 3 ? 4

4

4

4

4

4

4

4

4

4

Noukob Yh>/sX Pï Pïbv bvu ubo ka ka Mbgcg Mbgcg [g [gto tobha bhaet eta a ocfa ocfart rto o Pïbv Pï bvu ubo ka Cg Cgbo bo [g [gto tobha bhae eta oc ocfa fart rto o

1

Pïbvu Pïbv ubo ka ka Nghp Nghpu uar arto to [g [gto tobha bhae eta ocf ocfar arto to Ngeax axfþ fþe e ae [ Sgsn Sgsnok oko o (`u (`ulg lg kar arfv fvok okg g)

OE OEÏB ÏBF^ F^F^ F^ KA SA SA^Q ^QB[ B[OK OKG^ G^ (> (>pt pts) s)

Saobfzor ab oeïbfsfs ka bos mrïnos gctaefkos. As eanasorfg oeobfzor taekaenfos ae bos mrïnos y astocbanar rabonfgeas aetra vorfocbas a fkaenor arrgras. Axparfhaetobhaeta sa jo kahgstrokg qua bo homeftuk ka bos pærkfkos as oprgxfhokohaeta prgpgrnfgeob ob nuokrokg ka bo vabgnfkok, pgr I y kfvfkfkg poro 3 vanas bo mrovakok Ae cosa o bo mrïno ; sa katarhfeo qua bo nurvo ka parkfkos axparfhaetobas aea hoygr paekfaeta qua bo ka parkfkos taþrfnos. Tgr bg qua, sa aea qua, o hakfko qua ouhaeto ab noukob, bos pærkfkos axparfhaetobas ouhaetoe ngesfkarocbahaeta raeta o bos parkfkos taþrfnos y qua, ka fmuob grho, bo kfaraenfo aetra bos parkfkos taþrfnos y axparfhaetobas tohcfæe ouhaeto. Astg puaka kacarsa o bos oprgxfhonfgeas qua sa raobfzoe ae bgs hgkabgs hotahïngs hotahïngs ubfzokgs poro katarhfeor katarhfeor bos parkfkos taþrfnos. Tgr gtrg bokg, sa kaegto qua bgs vobgras gctaefkgs ka bos parkfkos axparfhaetobas sa oprgxfhoe nge ueo kfaraenfo nosf eubo o ueo bèeao ka taekaenfo nuokrïno, hfsho qua puaka sar ubfzoko poro prakanfr nghg sa nghpgrtoro ab `ufkg nge gtrgs vobgras ka noukob, sfahpra y nuoekg ab `ufkg sfmo kaetrg ka ue hfshg ræmfhae ka `ulg. Ob oeobfzor bo mrïno 1 sa nghporo bos parkfkos ae uenfþe kab noukob ka noko ueo ka bos vïbvubos y ngeaxfgeas astukf ast ukfoko okos. s. Nge Ngesfk sfkaro aroekg ekg qua tgkos tgkos bos vïbvub vïbvubos os sa aenuae aenuaetro troe e tgtobh tgtobhaet aeta a ocfart ocfartos, os, sa gcae gcaea a qua, qua, pranfsohaeta, bo vïbvubo ka mbgcg as bo qua ha maearo hoygras pærkfkos ae nghporonfþe o bos gtros y qua bo vïbvubo ka cgbo y ka nghpuarto sge bos qua maearoe haegras parkfkos. Ka oquè sa feara qua poro `ulgs ngeeugs ka noukob y pgr bormg parfgkg ka ahpg as praarfcba ubfzor vïbvubos ka cgbo g ka nghpuarto, aspanfobhaeta nuoekg sa cusno trocolor nge obtgs vobgras ka noukob puastg qua, o hakfko qua ouhaeto ab noukob, bo kfaraenfo ka parkfkos aetra astgs pgs ka vïbvubos sa vuabvae oüe hïs mroeka. Astg sa ko kacfkg o

 

qua bos vïbvubos ka mbgcg sge kfsaÿokos nge ab e ka ramubonfþe ka noukob pgr bg qua maearoe pærkfkos sfmefnovos oue tgtobhaeta ocfartos. Okahïs, astg ngenuarko nge bo fegrhonfþe taþrfno qua sa puaka gctaear onarno ka astgs kfspgsfvgs ae bfcrgs nghg Y NF[O[FGE Nae?= Rb 341: X. Tgr gtrg bokg, sa gcsarvo qua bos pærkfkos ka bo ngeaxfþe ae [ sge hoygras o bos pærkfkos ka bos vïbvubos ka nghpuarto y ka cgbo, astg sa kaca ob crusng nohcfg ka kfrannfþe qua aea ab `ufkg ae bo ngeaxfþe y ob cuae kfsaÿg qua aeae bos vïbvubos ka nghpuarto y ka cgbo poro bo nfrnubonfþe kab `ufkg.

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NGE NGENBQ NBQ^FG ^FGEA^ EA^ V SA SANGH NGHAEK AEKONF ONFGEA GEA^^ ((>pt >pts) s) ((> >p pgr gr h hfa fahcr hcrg) g)

0.?

Ngenbusfgeas

 Oroulg Baþe Bufs Akuorkg 

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Bos vïbvubos ka mbgcg m bgcg prgkunae parkfkos sfmefnovohaeta hoygras ae nghporonfþe nge bo ngeaxfþe ae [ y nge ab rastg ka vïbvubos oeobfzokos ae bo prïnno. Kaspuæs ka bo vïbvubo ka mbgcg, bo ngeaxfþe ae [ as bo qua prgkuna hoygras pærkfkos, samufkg pgr bo vïbvubo ka nghpuarto y bo ka cgbo raspanvohaeta. raspanvohae ta. Okahïs, o hakfko qua ouhaeto ab vobgr kab noukob, ouhaeto bo kfaraenfo ka bos parkfkos aetra bos vïbvubos. Ka oquè, poro `ufkgs qua nfrnuboe pgr ue bormg parfgkg ka ahpg, as praarfcba ubfzor vïbvubos ka nghpuarto g ka mbgcg nge ab e ka avftor obtgs vobgras ka pærkfkos, aspanfobhaeta nuoekg sa trocolo nge obtgs vobgras ka noukob. Toro tgkos bos vïbvubos y ngeaxfgeas oeobfzokos ae bo prïnno, bos parkfkos axparfhaetobas gctaefkos sge hoygras qua bos parkfkos taþrfnos. Bo kfaraenfo aetra astgs sa ko pgr bos oprgxfhonfgeas qua sa tghoe ae bgs hgkabgs hotahïngs ubfzokgs poro nobnubor bos parkfkos taþrfnos, astos oprgxfhonfgeas kaspranfoe nfartgs vobgras y gnosfgeo qua bgs vobgras ka parkfkos taþrfnos saoe haegras o bos axparfhaetobas. ^fe ahcormg, ae su hoygrèo, bo vorfonfþe ka bos parkfkos raspantg ob noukob rasubto fmuob poro bgs kotgs axparfhaetobas y taþrfngs.

 Opabbfkgs y Eghcras (Astukfoeta (Astukfoeta 3) 

0.3

Sanghaekonfgeas

 Oroulg Baþe Bufs Akuorkg 

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^a ranghfaeko ouhaetor gtrgs pgs ka ngeaxfgeas kaetrg kab oeïbfsfs nge ab e ka nghpror bos parkfkos aetra ngeaxfgeas. ^a ranghfaeko ubfzor bgs ngegnfhfaetgs gctaefkgs poro bo sabannfþe ka vïbvubos g ngeaxfgeas ae katarhfeokgs prgyantgs.

 Opabbfkgs y Eghcras (Astukfoeta (Astukfoeta 3) 

=

CFC CFCBF BFGM GMSO SO@@ÈO (FAAA) AAA) ((4. 4.1) 1)

:

Cfcbfgmropjy

Y?X N. V. O, @bufk Ha Hanjoefns, njoefns, Eaw Vgri< Hn Hn Mrow Jfbb Akunoge, Akunoge, 34?=.