3496 Tarea 3 Mendoza Sebastian
March 30, 2023 | Author: Anonymous | Category: N/A
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Lmhcfzo Norjìo Zmkost`ïh Oimgohcrf H[J7 :304
Sormo : Lmhcfzo Norjìo Zmkost`ïh Q[FKOK@I@COC P MZSOC@ZS@JO SMJ.
Io mhz`lo l`tfjfhcr`oi trohse`crfnmhoso HOCQE7HOC, cm io tmh`o cm io roto jfl÷h (Eylmhfimp`os`s c`l`huto) jotoi`zo mi e`crúnmhf mh io trohsdmrmhj`o cm HOCQE o HOC, if qum prfcujm HOCE. Zm sokm qum msto mhz`lo cmsmlpmÿo uh popmi v`toi mh mi lmtokfi`slf ohomrfk`f cm io tmh`o, y rmj`mhtmlmhtm sm piohtmú io e`pútms`s cm qum pfcrìo smrv`r jflf uho kflko cm `htmrjolk`f cm prftfhms, ms cmj`r, poro trohsdmr`r prftfhms o trovàs cm io lmlkroho l`tfjfhcr`oi. ]h mstuc`f sfkrm mi Mddmjt fd Tor`fus Zukstrotm Jfhjmhtrot`fhs fh tem Jfhdfrlot`fhoi Tor`ot`fh fd tem HOCQE7HOC Srohseycrfnmhosm fd Eylmhfimp`os`s c`l`huto iimvocf o jokf pfr io Kfwi`hn Nrmmh Ztotm ]h`vmrs`ty, sm c`smÿú poro mvoiuor io jopoj`coc cm c`jeo mhz`lo poro sudr`r jolk`fs mh su jfhdfrloj`úh f su dfrlo. Qfcrìo jfhs`cmrorsm qum ifs jolk`fs mh io ojt`v`coc mspmjìd`jo cm io mhz`lo fjos`fhocfs pfr ios vor`oj`fhms mh io jfhjmhtroj`úh cm HOCQ sustmhtoh io tmfrìo cmi jolk`f cm jfhdfrloj`úh. Io mhz`lo mh jumst`úh sm ifjoi`zo mh io lmlkroho `htmr`fr cm ios l`tfjfhcr`os cm io tmh`o. Zm eflfnmhm`zorfh eflfnmhm`zor fh ios tmh`os y sm o`siú io mhz`lo lmc`ohtm uho smr`m cm jmhtr`dunoj`fhms. Cmspuàs sm onrmnorfh c`dmrmhtms jfhjmhtroj`fhms cm HOCQ o io sfiuj`úh cm mhz`lo o`sioco y io lmzjio sm `hjukú curohtm trms l`hutfs mh uh koÿf cm onuo o =4·J. Iumnf, sm ohoi`zú io mhz`lo jfh uh mspmjtrúlmtrf cm royf cuoi y sm joijuiorfh ifs rmsuitocfs qum sm prmsmhtoh o jfht`huoj`úh, mh tàrl`hfs cm io ojt`v`coc mspmjìd`jo cm io mhz`lo, mh hohflfims pfr l`hutf pfr l`i`nrolf cm prftmìho. Qrumkm io e`pútms`s cm qum io ojt`v`coc mspmjìd`jo prflmc`f ms io l`slo poro ios juotrf jfhjmhtroj`fhms, jfhjmhtroj`fhm s, o uh h`vmi cm s`nh`d`johj`o cm 1.1?. ?:.=
7 ⅅ
;
:
3
??.??= 1.0:0
?1.5>= 1.;=5
5.>40 ?.>;=
Io lmc`o cm tfcfs ifs cotfs
? ? ̍ ⅅ ̍ⅅ ;? 0̍ 3 3 ̍ⅅ ?1.15=
ⅅ> =.?5
Fktmh`mhcf ios lmc`os y cmsv`oj`fhms mstïhcor cm joco lumstro.
Jflf mi voifr d sm mhjumhtro cmhtrf cm io rmn`úh jrìt`jo sm pumcm rmjeozor io e`pútms`s.
?:.> Zm eo cmlfstrocf qum mi dmrt`i`zohtm dfsdotf
? ?=.:3
olfh`ojoi cm lonhms`f, LnHE3QF3, ms uh prfvmmcfr md`joz cm ifs hutr`mhtms hmjmsor`fs poro mi jrmj`l`mhtf j rmj`l`mhtf cm ios piohtos. Ifs jflpumstfs qum sul`h`stro sfh luy sfiukims mh onuo, if juoi pmrl`tm su opi`joj`úh c`rmjto sfkrm io supmrd`j`m cmi sumif f qum sm lmzjim jfh mi sustrotf cm jrmj`l`mhtf curohtm mi prfjmsf cm mhjopsuiol`mhtf. Zm mdmjtuú uh mstuc`f cmhfl`hocf Mddmjt fd Lonhms`ul Ollfh`ul Qefspeotm fh Em`net fd Jerysohtemluls mh Nmfrnm Losfh ]h`vmrs`ty poro cmtmrl`hor mi h`vmi úpt`lf pfs`kim cm io dmrt`i`zoj`úh jfh kosm mh io lmgfrìo cm io rmspum rmspumsto sto cm jrmj`l`mhtf jrmj`l`mhtf vmrt`joi cmi jr`sohtmlf. Zm c`v`c`mrfh 31 sml`iios cm jr`sohtmlf mh 3 nrupfs cm c`mz piohtos joco uhf. Zm smlkrú joco uho mh uho lojmto s`l`ior qum jfhtmhìo uh lmc`f uh`dfrlm cm jrmj`l`mhtf. Zm onrmnú o joco nrupf cm piohtos uho jfhjmhtroj`úh joco vmz loyfr cm LnHE3QF3, lmc`cf mh nrolfs pfr kusemi. Ifs juotrf nrupfs cm piohtos sm juit`vorfh curohtm juotrf smlohos mh jfhc`j`fhms uh`dfrlms mh uh `hvmrhocmrf. O jfht`huoj`úh, sm prmsmhtoh ifs trotol`mhtfs y ifs jolk`fs rmspmjt`vfs cm sus oituros, lmc`cos mh jmhtìlmtrfs7
?1.:1:
;
:
3
?>.?4
?5.:1
;1.?1
;1.3>5
;4.5;
?:.:?4
Io lmc`o cm tfcfs ifs cotfs
? ? ̍ ̍ ⅅ. > ;= ⅅ ⅅ: ;.;=; 31 3 8 ?, .:,:44 ;.53
Lmc`o juocrït`jo cmi trotol`mhtf
Juocrocf lmc`f cmi mrrfr
7 7 ⅅ3?> ∞∞1.1.0:0 ∞∞1.?.1.1;04=5 ∞ ??..> ;;== 1.>540
?:.5 Qoro mi jfhguhtf cm cotfs cmi mgmrj`j`f ?:.> usm io
prumko cm Kortimtt poro prfkor s` ios vor`ohzos sfh `nuoims. ]t`i`jm ο < 1.1=.
7 7 ? ? ? ∞0 ⅅ ⅅ ⅅ 313 ⅅ: ⅅ∛∛∛∛ … ∛∛∛ ?1. :1:∞;1.3>5?>.∞;4.>: 5;∞?:. :?4 1.0:3 1.1= 9 22 1.1=2311 1.0=14
?
?1.:1:
;
:
3
;1.3>5
;4.5;
?:.:?4
Cocf c`st`htos7
oi tmhmr lumstros jfh ifhn`tucms
1.1?9 22, ,…, ⋦ 22 31.221?23 ∞ :⋦ 3 ∞1.:3>= ∞ 00∞;?∞ 1.04504501.;1?20 ;? 1.30:0
Toifr k cm io prumko Kortimtt
Hf sm rmjeozo io e`pútms`s hui huio. o.
Cocf
?:.?3 Mi Cmportolmhtf cm Oi`lmhtoj`úh y Hutr`j`úh
Euloho cm T`rn`h`o Smje rmoi`zú mi mstuc`f Ifss fd H`trfnmh Serfune Zwmot ky Qrmocfimsjmht Kfys Jfhsul`hn Sermm Imvmis fd C`mtory Qrftm`h poro cmtmrl`hor io pàrc`co cm h`trúnmhf pfr trohsp`roj trohsp`roj`úh `úh jfh vor`fs h`vmims c`mtàt`jfs cm prftmìhos. Mh mi mxpmr`lmhtf mx pmr`lmhtf port`j`porfh ?; eflkrms prmocfimsjmhtms juyos mcocms `koh cm > oÿfs 5 lmsms o 0 oÿfs 5 lmsms, y o qu`mhms cm ims joi`d`jú cm jiìh`jolmhtm soiucokim soiucokims. s. Joco lujeojef mstuvf sugmtf o uho cm trms c`mtos jfhtrfiocos mh ios juoims jfhsulìo ;0, =3 u 53 nrolfs cm prftmìhos pfr cìo. Ifs s`nu`mhtms cotfs rmprmsmhtoh io pàrc`co cm h`trúnmhf jfrpfroi pfr trohsp`roj`úh, mh l`i`nrolfs, rmjokocfs curohtm ifs cfs cìos ÷it`lfs cmi pmr`fcf cm mxpmr`lmhtoj`úh7
Zm [MJEOWO io e`pútms`s huio.
?:.0 ]t`i`jm io prumko cm Kortimtt o uh h`vmi cm
s`nh`d`johj`o cm 1.1? poro prfkor io eflfnmhm`coc cm ios vor`ohzos mh mi mgmrj`j`f ?:.= cm io pïn`ho =?0.
7 7 ⅅ.3:=
? ?;?; =.:;1?. > =4 ?= 8 1.1:;;0
Joijuiolfs ios lmc`os cm joco uhf7 Dumhtm cm vor`oj`úh
Zulo cm juocrocfs
Juocrocfs lmc`fs
; 0
?435>.3:= :;1?.>=4
Sftoi
4;>01.4>
??
Jflf
sm rmjeozo io e`pútms`s huio.
D =.?=
9
Zulo cm tftoi cm juocrocfs
ⅅ :;0. 4 4> ⅅ ⅅ ;55?=.5
Srotol`mhtfs Mrrfr
k) ]t`i`jm uho prumko cm Submy poro cmtmrl`hor juïims h`vmims cm prftmìhos c`d`mrmh s`nh`d`jot`volmhtm mhtrm sì mh io pàrc`co lmc`o cm h`trúnmhf.
Nrocfs cm i`kmrtoc7
? ? 0
7 ; 1 7 ; ≡ 1
Zulo cm juocrocfs cm ifs jfhtrostms7
Zulo cm juocrocfs cm trotol`mhtf
ⅅⅅ ?; ⅅⅅ ⅅ3.5? ⅅ?=.:;0>3. 5 5? 4?>01. ;55?=.
Nrocfs cm i`kmrtoc7
: = 3
D
Jflf sfif t`mhm uh nrocf cm i`kmrtoc. Io tokio OHFTO smrï io s`nu`mhtm7
0.54
Jflf mi voifr Q ms 1.1??0:, s`mhtf lmhfr oi sm pumcm rmjeozor io e`pútms`s huio.
3
1.1=
Lmhcfzo Norjìo Zmkost`ïh Oimgohcrf H[J7 :304
|9̍:. ;=1̍| |=.=.334.04| ?.=; |8̍:. ;=1̍| |>.>.0 3.:| :.4 1.1=
Solk`àh vmrmlfs s` ifs h`vmims cm =3 y 53 nrolfs
c`d`mrmh.
7 1 7 ≡ 1 ⅅ..0 ;.055|| 3.0; |9̍:. ;=1̍| |>.>.0 4.04| 1.03 |9̍:. ;=1̍| |3.3.: ;.05| ?.:; |9̍:. ;=1̍| |3.3.: 4.04| ;.44 |̍ ̍| |;.;.05 4.04| :.05 8 1.:.;1=1=
Oi tmhmr sfif uh nrocf cm i`kmrtoc io tokio OHFTO smrï io s`nu`mhtm7
Dumhtm cm vor`oj`úh =3 vs 53 Mrrfr
Zulo cm juocrocfs
;;::.150
Nrocfs
;55?=.5
Juocrocfs lmc`fs
? 0
;;::.150
D
1.40>
:;1?.>=4
Jflf mi voifr Q ms 1.3;=3, s`mhtf s`mh tf loyfr oi hf sm pumcm rmjeozor io e`pútms`s huio.
1.1=
?:.?> Mh mi mstuc`f, cmhfl`hocf Oh Mvoiuot`fh fd tem
[mlfvoi Lmtefc dfr Mst`lot`hn Kmht Kmhte`j e`j Qfpuiot`fhs ohc C`vmrs`ty, rmoi`zocf pfr T`rn`h`o Smje mh mi rìf
?:.?= ]t`i`jm io prumko cm Submy o uh h`vmi cm
s`nh`d`johj`o cm 1.1=, poro ohoi`zor ios lmc`os cm ios = lorjos c`dmrmhtms cm tokimtos poro mi cfifr cm jokmzo cmi mgmrj`j`f ?:.; cm io pïn`ho =?5.
,∛ ⅅ
Gojbsfh, sm mlpimorfh = prfjmc`l`mht prfjmc`l`mhtfs fs c`st`htfs cm lumstrmf poro cmtmrl`hor ifs jfhtmfs cm mspmj`ms. Zm smimjj`fhorfh ;1 lumstros oi ozor y ifs = prfjmc`l`mhtfs cm lumstrmf ssmm rmp`t`mrfh 3 vm vmjms. jms. Zm rmn`strorfh ifs s`nu`mhtms jfhtmfs cm mspmj`ms7
=, ;= ., ;;..0=30 3.;:; :; ;.;.0=30 :.;=1 |9̍:. ;=1̍| |=.=.33 >.0| ;.34 |9̍:. ;=1̍| |=.=.33 3.:| ?.?3 |9̍:. ;=1̍| |=.=.33;.05| ;.34
Lmc`os oksfiutos pormocos7
o) ¶Eoy oinuho c`dmrmhj`o s`nh`d`jot`vo mh mi jfhtmf
prflmc`f cm mspmj`ms mspmj`ms poro ifs c`st`htfs prfjmc`l`mhtfs cm lumstrmf6 ]sm uh voifr Q mh su jfhjius`úh.
k) Mlpimm uho prumko cm Submy jfh ο < 1.1= poro
cmtmrl`hor juïims prfjmc`l`mhtfs cm lumstrmf c`d`mrmh.
=
Lmhcfzo Norjìo Zmkost`ïh Oimgohcrf H[J7 :304
tftoi
Qrumko cm Korimtt
??153.>0
?0
=5:.3?
?.?. ?7 7 ⅅ ? 54:. : ;3;.10 >.> ;.;. .1.1.10== ⅅⅅ.32?== :.14 :. ;=2;= 2 ==22? ;;11 ⅅ..4> ::>:>== :3:3>.>.44>> ?=?=;.?=;.0; ?3?3== ?> ;1>.4= ?∛ ∞ ;∛ ∞ :∛ ∞3∛ ∞ ∛̍ /∛ :>= ∞ :3>. :3>.1.4>4> ∞ ?=?=;.:.;.0?; ∞ ?3= ∞ ?>?>..4> ., . . .. 3.3. .=23=2 3 1.30;? . ∞ . 8 . =. ℈ 7? ; : 3 ?.{?. {?7?7 ;.;. . 1.1.10==
Jflf D8 qum Djr`t`jf Ef sm rmjeozo pfr if tohtf cmkm eokmr uh c`st`htf
Qrumko cm Surbmy
Lumstro
c`dmrmhj`os
= ?;.=
:
3
;
?
;3.;=
;4.=
==.=
4;.=
??.>=
;.;=
;0
>
(`nuoi poro tfcfs, sm tflo
jflf k nmhmroi)
Dumhtm
Z.J.
N.I.
Lmc`o
@htmr
;:.0?
3
=.05
@htro
3.3?
;1
1.;;
tftoi
;5.:;
;3
?.?5
Qrumko Ohfvo
?;.; Mh Oppi`mc Zpmjtrfsjfpy sm mstuc`orfh ios
@htmr
>3=:.33
3
?54:.:
prfp`mcocms cm rmdi mjtohj`o `hdrorrfgo cm uh iìqu`cf v`sjfsf qum sm ut`i`zo jflf iukr`johtm mh io `hcustr`o mimjtrúh`jo. Mi mxpmr`lmhtf qum sm c`smÿú jfhs`st`ú mh lmc`r mi mdmjtf cm drmjumhj`o cm kohco, x?, y mi mspmsfr
@htro
:4:?.:=
?=
;3;.10
cm pmiìjuio, x;, sfkrm io cmhs`coc úpt`jo, y, usohcf uh mspmjtrúlmtrf `hdrorrfgf Qmrb`h-Milmr Lfcmif 4;?.
Dumhtm Z.J.
N.I.
Lmc`o
4
Lmhcfzo Norjìo Zmkost`ïh Oimgohcrf H[J7 :304
(Dumhtm7 Qojohsby, G., Mhniohc, J. C. y ^ottloh, [., ?054).
1,:34 -1,?10 -1,31; 1,=5? 1,?;> -1,?4> ?,;?3 1,>41 1,344 ;,?:> ?,45; ?,:55
Mst`lm io mjuoj`úh cm rmnrms`úh i`hmoi l÷it`pim y < k1 +k?x? + k; x;.
-1,??= 1,;?4 1,3== -1,3=; -1,1=5 1,?0> -1,;10 -1,;1? -1,?3= 1,5?? -1,130 -1,3=3
? ; ??;51 5.?; ??;51 ??13:>=1 >4:;. 5 5.?; >4:;.5 4.>4; ∛ ;.?;:.3=?11; : ;;.;.?>:??114: 11.=:3 1.=:3 1 1.>50 . . . . ∛ ∞ . .
ZJM05053>0 ∞1.∞ 11.?35 ;.>> :. ∗ ::∞ ⅅⅅ ;.;;5 ; ≡ 1 . {7?711 ≡ 11 ;.;. . 1.1.10==
5 . : 5> ? ; 1.?35 ;5.::
3.
;.;;59;.>> =. Ef sm rmjeozo pfr if tohtf Qoro
ⅅⅅ.;2?11 3.?1 7̋ :.:>: :.4;?1 :: 1.03> 3>
Jflf D8 qum Djr`t`jf Ef sm rmjeozo pfr if tohtf cmkm eokmr uh
?
qu`l`jo jfhsulm joco lms sm rmioj`fho jfh io tmlpmroturo olk`mhtoi prflmc`f, x?, mi hulmrf cm c`os cmi lms, x;, io purmzo prflmc`f cmi prfcujtf, x:, y ios tfhmiocos dokr`jocos cmi prfcujtf, x3. Zm c`spfhm cm
:. ∗ ;;∞ 1;;∞ ?=>;?0;4. ∗ ;;.. .;;>?>?11 3:44∞∞ 1.1??3535 ⅅⅅ ;.;;5 ? ≡ 1 . {7?7?? ≡ 11 1.1= 1.0= ∗ .;.;.3=1;= :;.;.. . ∗ ;;∞ ?;;∞ 1; ∞1.∞ 1.1?35 ?:.;0 ⅅⅅ ;.;;5 1 ≡ 1 7 1 ? ; ?.?. ?7?7 1.1= ;.;. . 1.0=
cotfs e`stfr`jfstokio. cmi ohf ohtmr`fr, ifs juoims sm prmsmhtoh mh io s`nu`mhtm
=. Ef sm rmjeozo pfr if tohtf Qoro
?
o) Ogustm uh lfcmif cm rmnrms`fh i`hmoi luit`pim
3.
?;.= Zm jrmm qum io mhmrn`o mimjtr`jo qum uho piohto
3.
c`st`htf cm jmrf2 Lfcmif jfhs`stmhtm.
usohcf mi jfhguhtf cm cotfs ohtmr`fr. k) Qrmc`no mi jfhsulf cm mhmrn`o poro uh lms mh qum x? < >=˗D, x; < ;3 c`os, x: < 01% y x3 < 05 tfhmiocos tfhmiocos..
∛
=. Ef sm rmjeozo pfr if tohtf
5
Lmhcfzo Norjìo Zmkost`ïh Oimgohcrf H[J7 :304
∛
ZJM Qoro ifs cotfs cmi mgmrj`j`f ?;.; cm io pïn`ho 3=1, mst`lm . Mst`loj`úh cm io vor`ohzo7
?;.;? [mlìtos [mlìtosmm oi mgmrj`j`f ?;.= cm io pïn`ho 3=1 y
fktmhno mst`locfs cm o) ϊ; k; 2
Mst`loj`úh cm io vor`ohzo7
∛∛ ++ . ∛+ ∛ + ;:4.=5
k) Jfv(k?, k3 ). Mst`loj`fh cm io vor`ohzo7
+ 7 . ∛?+ ∛ + ; ;:4. ∛∛ + 1 =5
?;.;: Qoro cm mi lfcmif cmi mgmrj`j`f ?;.; cm ioio pïn`ho 3=1 o uh h`vmi s`nh`d`johj`o cm 1.1=, prumkm e`pútms`s
?.{?. {?7?7 ;.;. . 1.1.10==
cm qum λ? < 1, mh jflporoj`úh jfh io e`pútms`s oitmrhot`vo cm qum λ? ≡ 1. Qoro
. {7?711 ≡ 11 ;.;.. 1.1.10== :. ∗ 1;;∞ ;;∞ ?=>;?0;4. ∗ ;.;. .;>? ;>?11 3:44∞∞ 1.1?35?35 ⅅⅅ ;.;;5 ? ≡ 1
Dumhtm
Z.J.
N.I.
@htmr
3;01.33
?
3;01.33
@htro
;:4=.>>
?1
::4.=5
tftoi
44=4.;?
??
41=.??
?
Lmc`o
3::4.;01.=353 ?;.>3 ⅅⅅ.?2?11 3.04
3.
=. Ef sm rmjeozo pfr if tohtf
?;.;= ]t`i`jm ifs cotfs cmi mgmrj`j`f ?;.; cm io pon`ho p on`ho
3=1 y mi mst`locf cm ϊ ; cmi mgmrj`j`f ?;.?> poro joijuior `htmrvoifs cm jfhd` ohzo cm 0=% poro io rmspumsto prmc`jeo y io rmspumsto rmspumsto lm lmc`o c`o juohcf x? < 011 y x; < ?.11.
Jflf D8 qum Djr`t`jf Ef sm rmjeozo pfr if tohtf cmkm eokmr uh c`st`htf cm jmrf2 Lfcmif jfhs`stmhtm.
01.?42 ?=.?4
̋ :.:>;4> 1.11:4; 1.035 ※∛ ※ ⅅ
Mstfs mst`locfs jfmd`j`mhtms cm rmnrms`úh fktmh`cfs usohcf io rmioj`úh
?;
sfh
Lmhcfzo Norjìo Zmkost`ïh Oimgohcrf H[J7 :304
? >31 ?. ? 1 1. ; :? ? >31 1. 4 ; 1. ? 1> 1. : ? 1.1…=: ??… >31 51=… ?. ?…1 1.0:3 R \ 1.?4=? ⇛ ?1.3?;:= 14: 14:;=;= 1.:? ̋ :.011:>;4>:: ?.1.1111:4?4>011 1.03>=050?. 1 1 1. 5 ;00==4 1.1= ?11?% 0=%| ;=4;=4 ∐ 5 ∟ ⅅ ∐ ;=4;=4 ∐5 ∐ 5 ;=4;=4 ∐ Qfr??iftohtf ; ∛ ∛ ∟ ∛ ∛ ∛ ∛ ∛ 1.= 1.;= ; = 1 . ? ;= ? 1.?;= ?.?;= :.?;=
]sohcf oinuhfs prfnrolos cm jflputocfro, pfcmlfs d`hoilmhtm fktmhmr mi `htmrvoif cm jfhd`ohzo cmi 0=% ms poro , L`mhtros qum im `htmrvoif cm prmc`jj`úh poro io rmspumsto ms7
?1.51 Ios joi`d`joj`fhms cm uh jursf cm mstocìst` mstocìst`jo jo
poro uh smlmstrm smlmstrm mspmjìd`jf dumrfh iios os s`nu`mht s`nu`mhtms7 ms7
?3.1>8:.?;=
jr`t`jf
Ef sm rmjeozo
Qrumkm io e`pútms`s, o uh h`vmi cm s`nh`d`johj`o cm 1.1=, ?:
Lmhcfzo Norjìo Zmkost`ïh Oimgohcrf H[J7 :304
mi hulmrf cm cmi`tfs jflmt`cfs mh juotrf ormos cm io j`ucoc curohtm mi ohf posocf.
Io c`str`kuj`úh fksmrvoco hf sm ogusto o uho nmflàtr`jo.
?1.5> ]ho lumstro oimotfr`o cm 01 ocuitfs sm jios`d`jo cm
ojumrcf jfh mi nàhmrf y mi h÷lmrf cm efros cmc`jocos o vmr io tmimv`s`úh curohtm uho smloho7
O port`r cm mstfs cotfs pfcmlfs jfhjiu`r, o uh h`vmi cm s`nh`d`johj`o cm 1.1?, qum io fjurrmhj`o cm mstfs t`pfs cm cmi`tfs cmpmhcm cmi c`str`tf cm io j`ucoc6
]t`i`jm uh h`vmi cm s`nh`d`johj`o cm 1.1? y prumkm io e`pútms`s cm qum mi t`mlpf cmc`jocf o vmr io tmimv`s`úh ms `hcmpmhc`mhtm cm s` mi mspmjtocfr ms eflkrm f lugmr.
Sokio Fksmrvoco7
Sokio Fksmrvoco7
Losjui`hf ? ?= ; ;> 3;
Dmlmh`hf ;0 ?0 35
? ; : 3
33 34 01
Sokio Mspmroco7
Losjui`hf ? ;1.=: ; ;?.3> 3;
Osoitf ?4; :?1 ;=5 ;51 ?1?1
[. Joso ??5 ?04 ?0: ?>= 45;
Eurtf 3=? 004 3=5 :01 ;;0=
Efl`j`c`f ?5 ;= ?1 ?0 >;
[. Joso ?;=.5= ;=4.=> ?=3.3? ?3=.?>
Eurtf Eu rtf 3;:.= 54: =?0.4? 355.=?
Efl`j`c`f ?:. ?:.;0 ;0 ;>.10 ?4.: ?=.::
>30 ?=;> 0?0 543 31=0
Sokio Mspmroco7
Dmlmh`hf ;:.3> ;3.=: 35
33 34 01
? ; : 3
Osoitf ?54.:> :>0.04 ;;5.4> ;?3.00
∟ ∛ ?;=.?=
∛ ∟ ∛. ∛. ∛. ∟ . . .
N.I7 (h-?)(l-?) < (:)(:) < 0
∛. . ∛. . ∛. . ?3.34 N.I7 (h-?)(l-?) < (?)(;) < ; .2 =.00?
.2 ;?.444
Ⅰ
9 jr`t`jf
Ⅰ
Ef sm rmjeozo pfr if tohtf sfh
`hcmpmhc`mhtms.
Ⅰ
8
?1.04 Zm iimvo o jokf uho `hvmst`noj`fh mh cfs j`ucocms
Ef sm rmjeozo pfr iiff tohtf ssfh fh `hcmpmhc`mhtms.
Ⅰ
cmtmrl`hor s` io `hj`cmhj`o cm j`mrtfs t`pfs cm cmi`tfs vor`o cm uho portm cm uho nroh j`ucoc o ftro. Ifs jr`lmhms
cm T`rn`h`o poro cmtmrl`hor io fp`h`fh cm ifs vftohtms rmspmjtf o cfs johc`cotfs o io nukmrhoturo mh uho mimjj`fh prfx`lo. Mh joco j`ucoc sm smimjj`fhorfh =11 vftohtms oi ozor y sm rmn`strorfh ifs s`nu`mhtms cotfs7 O uh h`vmi cm s`nh`d`johj`o cm 1.1= prumkm io e`pftms`s huio cm qum ios prfpfrj`fhms cm vftohtms qum mstoh o dovfr cmi johc`cotf O, o dovfr cmi johc`cotf K f qum
mspmj`d`jfs cm y`htmrms mroh mi osoitf, mi rfkftokio cm lumstro josos, mi eurtf mi efl`j`c`f. Io s`nu`mhtm
mstïh `hcmj`sfs sfh ios l`slos poro joco j`ucoc.
?1.50 ]h jr`l`hfifnf rmoi`zf uho `hvmst`noj`fh poro
?3
Lmhcfzo Norjìo Zmkost`ïh Oimgohcrf H[J7 :304
J`ucoc
Fp`h`úh cmi vftohtm O dovfr O dovfr @hcmj`sf cm O cm K
[`jelfhc Hfrdfib tftoi
;1 ;3 ;= ;4 ;5 :; :=
Sftoi
;13(;?3.=) ;13 (;?3.=)
;?? ;??(;13.=) (;13.=)
5=(5?) 5=(5?)
=11
;;=(;?3.=) ;;= (;?3.=)
?05(;13.=) ?05 (;13.=)
>>(5?) >>(5?)
=11
3;0
310
?4;
?111
. {?7 ?,7;:? ; : ;.;. . 1.1.10== ∛. ∛. :.∛. :. ∛. ∛ . . . ∛ . ⅅ
Z`nhfs cm c`dmrmhj`o jfh lmc`o7 C`< U` ‚ ] ] # (-) < : # (+) < > L`h < :
=. Ef hf sm rmjeozo
1.:0 8 1.1=
@htmrprmtoj`úh7 Jfh uh h`vmi cm jfhd`ohzo cmi 0=% ios
Ef hf sm rmjeozo, mi t`mlpf cm mspmro ms `nuoi o ;1 l`hutfs.
?
Q-voifr
ÞÞ≣≣ 22 ÞÞ≣ ≣ : :2 2 2 ?1 Þ 11 ?1Þ ?? ?1 Þ?1;; ?Þ :: 1.= 1 ? ; : 1.:0
?.53
Ni ;1 ?=
Lmhcfzo Norjìo Zmkost`ïh Oimgohcrf H[J7 :304
]t`i`jm uh h`vmi cm s`nh`d` johj`o cm 1.1=.
E 1 7 ½ ˙; ∛ ½ ½ ˙? < 5 ½ ˙? 9 5. E ? 7 ½ ˙; ∛ ½
?.?. ??7777 ≡ 11
< 1.1=. p < ? / ;. ;. h < ?: y x < 3. ½ < hp < (?:)(? / ;) ;) < 4.=
ο
H÷lmrf cm s`nhfs s`nhfs cm ios rmstos # (-) < ?:
ϊ
#L`h (+)
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