Solución Taller 10
August 1, 2022 | Author: Anonymous | Category: N/A
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¸ d Xecckr Aigpckgkdterne Aigpckgkdt erne L¸ ĵsna ĵs nae e 52 Qicu Qicuan anid i ecckr 5: 5. Kbkr Kbkranani anani ==.; .; [d hklkdsir hk c¸ĵdke hk l¸utfic utfic egkrnaedi hk 55: o` airrk meane ce hkrkame e 6.0; g/s, gnkdtres itri hklkdsir hk 56; o` airrk hnrkategkdtk meane kc prngkri e 6...6= g/s (f) Ce lreaan¸iid d hk kdkr` kdkr`¸¸ĵe quk sk pnkrhk ks ∌K K hehi pir, ∌K 56 gv 6 ∖ ( 56 gve6 + 56 gvf6 ) 7 5 K gv6 6 Ci auec ks, ∌K v 6 ∖ (ve6 + v + vf6 ) 7 7 :.5>< K v6 Ks hkanr kc 5>.< % sk hnsnpe. 1. Kbkr Kbkranani anani =. =.8= 8= [de aednae hk 5:.: ` sk hkscnze e ce nzqunkrhe e :.8:: g/s sifrk ude eakre mirnzidtec hk Dukve ^iro, aufnkrte hk mnkci y snd lrnaan¸iid, d, y tnkdk ud amiquk kc¸eestnai stnai hk lrkdtk aid ude aednae hk 1:.: ` quk sk hkscnze e ce hkrkame aid ude vkcianheh hk ge`dntuh n`uec e :.6 :.6:: :: g/s (ſt`ur (ſt`uree K=. K=.8=) 8=).. e) Hktkr Hktkrgnd gndkk ce vk vkcian cianheh heh (ge`d (ge`dntu ntuh h y hnr hnrka kaan¸ an¸ iid) d) hk aehe aednae hkspu¸kkss hkc amiquk. (Zuksti quk kc amiquk ks hk lrkdtk lrkdtk,, cis givngnkdtis sid kd ude c¸ĵdke). f) Aecauck kc aegfni kd kc gigkdti cndkec (ks hkanr, kc gigkdti cndkec hkspu¸ks ks hkc amiquk gkdis kc gigkdti cndkec edtks hkc amiquk) pere aehe aednae. Aigperk cis vecirks iftkdnh ift kdnhis. is. a) Aeca Aecauck uck kc aegfn aegfnii hk kdkr kdkr``¸ĵe and¸kktnae tna e (ks hkan hkanr, r, ce kdkr kdkr``¸ĵe and¸kktnae tna e hksp hkspu¸ u¸ks ks hkc amiquk gkdis ce kd kdkr` kr`¸¸ĵe an and¸ d¸kktnae tnae edtks hkc amiquk) pere aehe aaednae. ednae. Aigperk cis vecirks iftkdnhis.
Qicuan¸ id2 id2
6
(e) Qke p 5i 7 < Ð 5: 1 _o` g/sW ˌn , p 6i 7 ∖8 Ð 5: 1 _o` g/sW ˌn, g5 7 :.:1 o`, g6 7 :.:5 o`, Ehkg¸ees, s, sked sked p 5l , p6l cis gigkdtis ſtdecks cis auecks sid ndai`dntes, Emire pir aidskrvean¸iid d hkc gigkdtug tkdkgis quk, ∖
∖
7 p5l + p6l + p p6i 7 p p5i + Ci auec sk pukhk ksarnfnr aigi, _( p5i + + p p6i ) ∖ p5l W6 7 _ p p6l W6 Emire pir aidskrvean¸iid d hk ce kdkr` kdkr`¸¸ĵe tkdkgis quk, p66l p65l p66i p65i + 7 + 6g5 6gl 6g5 6g6 Ci auec sk pukhk ksarnfnr aigi, p65i p66i + g5 g6
6
∖
p65l p6l W6 g6 7 _ p 6g5
6l
N`uecedhi ces _ p p W quk rksucted hk ce aidskrvean¸iid d hkc gigkdtug y ce kdkr` kdkr`¸¸ĵe, sk iftnkdk ude kauean¸iid d hk sk`udhi `rehi pere pere p5l , p65l 5 +
g 5 g6
∖
p5l _6( _6( p p5i + + p p6i )W + ( p5i + p + p6i )6 ∖ p65i
g6 g5
∖
p66i 7 :
Vkkgpcezedhi Vkkgpceze dhi dug¸kkrnaegkdtk rnaegkdtk k n`d n`diredhi iredhi ud udnhehks nhehks p pir ir kster kd ud udnhehks nhehks ndtkrd ndtkrdeanide eanidecks, cks, _5..11W ∖ p5l _8 Ð 5: 1 W + _ ∖6.8 Ð 5: ; W 7 : p65l _5 ∖
∖
[sedhi ce kauean¸iid d auehr¸eetnae tnae y tigedhi kc t¸kkrgndi rgndi dk`etnvi, sk iftnkdk quk, p 5l 7 ∖1 Ð 5:
1
∖
_o` g/sW ˌn
Hkspkbedhi Hkspkbedhi p6l hk ce aidskrvean¸iid d hkc gigkdtug sk iftnkdk, p 6l 7 ; Ð 5:
1
∖
_o` g/sW ˌn
^ hehe ce l¸iirguce rguce hkc gigkdtug sk iftnkdkd ces vkcianhehks, v5l 7 ∖:.5 _g/sW ˌn v6l 7 :.; _g/sW ˌn (f) Kc aegfn aegfnii hkc gigkdtu gigkdtug g hk aehe aedna aednaee ks, 5i 7 p 5l ∖ p
1
∖
> Ð 5:
1
∖
_o` g/sW ˌn
6i 7 > Ð 5: p 6l ∖ p
1
∖
_o` g/sW ˌn
Xnkdkd ge`dntuhks n`uecks y sn`dis aidtrernis hkfnhi e ce aidskrvean¸ iid d hkc gigkdtug. (a) Kc aaegfni egfni hk ccee kd kdkr` kr`¸¸ĵe and¸kktnae tnae hk cces es aednaes kst¸e hehe pir, p65l 6g5
p65i 6g5 7 ∖8.; Ð 5:
8
∖
∖
p66l 6g6
∖
p66i 7 8.; Ð 5: 6g6
B 8
∖
B
Ce suge hk cis aegfnis hk kdkr` kdkr`¸¸ĵe ks akri pir ce aidskrvean¸iid d hk ce kdkr` kdkr`¸¸ĵe. 8. Kbkr Kbkranani anani =. =.01 01 Ces kslkres E (gese hk :.:6: o`), F (gese hk :.:1: o`) y A (gese hk :.:;: o`) sk eakraed ec irn`kd hkscnz¸eedhisk dhisk sifrk ude gkse hk enrk snd lrnaan¸iid d (ſt`ure Z=.01). Ces vkcianhehks ndnanecks hk E y F sk ndhnaed kd ce ſt`ure. Ces trks kslkres cck`ed ec irn`kd snguct¸eedkegkdtk dkegkdtk y sk s k udkd. e) ¹Uu¸k aigp aigpidkdtks idkdtks x y y hkfk tkdkr ce vkcianheh ndnanec hk A sn hkspu¸ks ks hkc amiquk cis trks ifbktis tnkdkd ude vkcianheh hk :.;: g/s kd ce hnrkaan¸iid d +x9 f) Qn A tnkdk ce vkcianheh iftkdnhe kd kc ndansi e), ¹au¸eecc ks kc aegfni kd ce kdkr` kdkr`¸¸ĵe and¸kktnae tnae hkc snstkge hk ces trks kslkres aigi rksuctehi hkc amiquk9
Qicuan¸ id2 id2
(e) Hehe ce aidskrv aidskrvean¸ ean¸ iid d hkc gigkdtug kd kd x kd y x y kd y tkdkgis quk, pEx + + p pFx + p + pAx 7 p 7 p X x
8
+ pAy 7 p X y + p pFy + p pEy + Hidhk p X 7 (gE + Hidhk p + g gF + + g gA )vl sk rkſtkrk ec gigkdtug ſtdec. Ehkg¸eess tkdkgis quk pEy 7 p Fy 7 p X y 7 :, cuk`i, p (:..;)(: ;)(:..:1 :1)) ai aiss 1: 7 ::..:51 _o` g/sW bˌ Ay 7 ∖ pFy 7 (: p 7 p pX x ∖ pEx ∖ pFx 7 :.:=0; _o` g/sW ˌn Ax 7 Cuk`i, v x 7 5.0; _g/sW ˌn v y 7 :.6< _g/sW bˌ ^ ce vkcianheh titec skr¸ee,, v 7 5.00 g/s (f) Kc aegfni hk ce kdkr` kdkr`¸¸ĵe and¸kktnae tnae hkc snstkge ks, 5 5 5 5 6 6 (gE + + g gF + + g gA )v 6 ∖ (gE )vE6 ∖ (gF )vF (gA )vA 7 ∖:.:>6B 6 6 6 6 ;. Kbkr Kbkranani anani =. =.0> 0> Aigfndean¸ id i d hk ces ckyks hk aidskrvean¸ id. id. [d trizi hk mnkci hk ;.:: o` sk hkscnze
e 56.: g/s sifrk kc pnsi hk ud vecck aufnkrti hk mnkci auedhi amiae y sk ehmnkrk aid itri pkhezi hk mnkci hk ;.:: o` quk kstefe kd rkpisi (ſt`ure Z=.0>). Aigi kc vecck tnkdk mnkci, di mey lrnaan¸iid. d. Hkspu¸ks ks hkc amiquk, ¹qu¸k ecture sifrk kc sukci hkc vecck ecaedzed cis pkhezis aigfndehis9
Qicuan¸ id2 id2//
Zir aidskrv aidskrvean¸ ean¸iid d hkc gigkdtug tkdkgis quk, gvi 7 6gvl Cuk`i, ;
g/ss vl 7 v i /6 7 < g/ Zir aidskrv aidskrvean¸ ean¸iid d hk ce kdkr kdkr``¸ĵe, 5 (6 (6g g)vl 6 7 (6g (6g)`M 6 Cuk`i, vl 6 M 7 7 5.=1 g 6` 8 7 : 5: 5:..;x6l ∖ 1, 81 [sedhi kauean¸iid d auehr¸etnae etnae y tigedhi kc sn`di pisntnvi sk iftnkdk, xl 7 :.6>1 g
0
0. Kbkr Kbkranani anani =. =.5:< 5:< [de gubkr hk 8;.: o` kst¸e hk pnk kd ude aedie hk [d aimktk hk luk`is ertnſtanecks sk hnspere vkrtnaecgkdtk meane errnfe. Kd su ecture g¸exnge hk =:.: g, kstecce y sk hnvnhk kd his lre`gkdtis, udi aid gese hk 5.8: o` y itri aid gese hk :.6= :.6= o` o`.. Kd ce kxpc kxpcis isn¸ n¸ iid, d, =
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