®
JNN (I`viacn`) (I@_IACN@)659? 6597 JNN
66-5>-659?
@IPN: 68-5>-6597
Knkdry Fisn` Yunstgdas & Sdlutgdas UIUNV
- 9 | S^FJNCP : KIPBNKIPGCS UIUNV-9 : GASPV^CPGDAS PD CIA@G@IPNS CIA@G@IPNS
Yunstgda Uipnr-9 bis tbrnn (53) pirts: Ubysgcs, Cbnkgstry ia` Kitbnkitgcs.
Nicb pirt bis i tdtil nghbtnna nghbtnna (92) qunstgdas `gvg`n` gatd tbrnn (53) snctgdas (Snctgda-9, Snctgda-6 ia` Snctgda-3)
Pdtil aukfnr do qunstgdas ga Yunstgda Uipnr-9 irn Ogoty Odur (>0) ia` Kixgkuk Kirms irn Dan Bua`rn` Nghbty Sgx (92?)
Pypn do Yunstgdas ia` Kirmgah Scbnkns SNCPGDA-9 (Kixgkuk Kirms : 96)
Pbgs snctgda cdatigas cdatigas OD^V (50) qunstgdas. (50) qunstgdas.
Nicb qunstgda bis OD^V dptgdas DALW DAN do DAN do tbnsn odur dptgdas gs tbn cdrrnct iaswnr.
Odr nicb qunstgda, cbddsn cbddsn tbn cdrrnct cdrrnct dptgda cdrrnspda`gah cdrrnspda`gah td tbn cdrrnct iaswnr. Iaswnr td nicb qunstgda wgll fn nviluitn` iccdr`gah td tbn odlldwgah kirmgah scbnkn : Oull Kirms
:
Znrd Kirms
:
Anhitgvn Kirms
:
+3 Go DALW DALW tbn cdrrnct cdrrnct dptgda gs cbdsna. cbdsna. 5 Go adan do tbn dptgdas gs cbdsna (g.n. tbn qunstgda gs uaiaswnrn`).
–9 Ga ill dtbnr cisns.
SNCPGDA-6 (Kixgkuk Kirms : 36)
Pbgs snctgda cdatigas cdatigas NGHBP (52) qunstgdas. (52) qunstgdas.
Nicb qunstgda bis OD^V dptgdas. DAN DV KDVN PBIA DAN do DAN do tbnsn odur dptgda(s) gs (irn) cdrrnct iaswnr(s).
Odr nicb qunstgda, cbddsn cbddsn tbn dptgda(s) dptgda(s) cdrrnspda`gah td (ill) (ill) tbn cdrrnct iaswnr(s). iaswnr(s). Iaswnr td nicb qunstgda wgll fn nviluitn` iccdr`gah td tbn odlldwgah kirmgah scbnkn. Oull Kirms
:
+0 Go daly (ill) tbn cdrrnct cdrrnct dptgda(s) gs (irn) (irn) cbdsna.
: Uirtgil Kirms :
+3 Go +3 Go ill tbn odur dptgdas irn cdrrnct fut DALW tbrnn dptgdas irn cbdsna.
: Uirtgil Kirms :
+6 Go +6 Go tbrnn dr kdrn dptgdas irn cdrrnct fut DALW twd dptgdas irn cbdsna ia` fdtb do wbgcb irn cdrrnct.
: Uirtgil Kirms :
+9 Go +9 Go twd dr kdrn dptgdas irn cdrrnct fut DALW dan dptgda gs cbdsna ia` gt gs i cdrrnct dptgda.
Znrd Kirms :
: Anhitgvn Kirms :
5 Go adan do tbn dptgdas gs cbdsna (g.n. tbn qunstgda gs uaiaswnrn`).
–9 Ga ill dtbnr cisns.
Vnsdaiacn N`uvnaturns Lgkgtn` VNHGSPNV VNHGSPNVN@ N@ & CDVUDVIPN DOOGCN : CH Pdwnr, I-0? & >6, GUGI, GUGI, Anir Cgty Kill, Jbiliwir Jbiliwir Vdi`, Mdti (Vij.) (Vij.) - 36055> Ub.Ad. : 5800-6888888, 5800-6888855 | 5800-6888855 | Pdll Ornn : 9255 6>2 >>>> | OIR Ad. : +79-566-379?8666 : +79-566-379?8666 | Pd M Madw k kdrn :: sks VNSD iit >??88
Xnfsgtn : www.rnsdaiacn.ic.ga | N-kigl : cdatictErnsdaiacn.ic.ga | CGA :: ^25356VJ6558ULC560567 Pbgs ssdlutgda w wis ` `dwaldi` o o rdk V Vnsdaiacn J JNN ((I@_IACN@) 6 6597 S Sdlutgda p pdrtil
SNCPGDA-3 (Kixgkuk Kirms : 92)
Pbgs snctgda cdatigas cdatigas SGR (5?) qunstgdas. (5?) qunstgdas. Pbn iaswnr td nicb qunstgda gs i A^KNVGCIL _IL^N. _IL^N.
Odr nicb qunstgda, natnr tbn cdrrnct auknrgcil vilun do tbn iaswnr usgah tbn kdusn ia` tbn da-scrnna vgrtuil auknrgc mnypi` ga tbn plicn `nsghaitn` td natnr tbn iaswnr. Go tbn auknrgcil vilun bis kdrn tbia twd `ncgkil plicns truacitn/rdua`-doo truacitn/rdua`-doo tbn vilun td PXD `ncgkil PXD `ncgkil plicn`.
Iaswnr td nicb qunstgda wgll wgll fn nviluitn` iccdr`gah td tbn odlldwgah odlldwgah kirmgah scbnkn : Oull Kirms
:
+3 Go DALW tbn cdrrnct auknrgcil vilun gs gs natnrn`.
Znrd Kirms :
5 Ga ill dtbnr dtbnr cisns.
Iaswnrgah Yunstgdas :
Pd snlnct tbn dptgda(s), usn tbn kdusn td clgcm da tbn cdrrnspda`gah futtda(s) do tbn dptgda(s).
Pd `nsnlnct tbn cbdsna dptgda odr tbn qunstgdas do SNCPGDA-9, SNCPGDA-9, clgcm da tbn futtda do tbn cbdsna dptgda ihiga dr clgcm da t bn Clnir Vnspdasn futtda td clnir tbn cbdsna dptgda.
Pd `nsnlnct tbn cbdsna dptgda(s) odr tbn qunstgdas do SNCPGDA-6, SNCPGDA-6, clgcm da tbn futtda(s) do tbn cbdsna dptgda(s) ihiga dr clgcm da tbn Clnir Vnspdasn futtda td clnir ill tbn cbdsna dptgdas.
Pd cbiahn tbn dptgda(s) do i prnvgdusly iaswnrn` qunstgda do SNCPGDA-9 ia` SNCPGDA-9 ia` SNCPGDA-6 ogrst SNCPGDA-6 ogrst `nsnlnct is hgvna ifdvn ia` tbna snlnct tbn anw dptgda(s).
Pd iaswnr qunstgdas do SNCPGDA-3, SNCPGDA-3, usn tbn kdusn td clgcm da aukfnrs (ia`/dr sykfdls) da tbn da –scrnna vgrtuil auknrgc mnypi` td natnr tbn auknrgcil vilun ga tbn spicn prdvg`n` odr iaswnr.
Pd cbiahn tbn iaswnr do i qunstgda do SNCPGDA-3, SNCPGDA-3, ogrst clgcm da tbn Clnir Vnspdasn futtda Vnspdasn futtda td clnir tbn natnrn` iaswnr ia` tbna natnr tbn anw auknrgcil vilun.
Pd kirm i qunstgda DALW odr DALW odr rnvgnw (g.n. wgtbdut iaswnrgah gt), clgcm da tbn Kirm odr Vnvgnw & Anxt futtda. Anxt futtda.
Pd kirm i qunstgda odr rnvgnw (iotnr iaswnrgah iaswnrgah gt), clgcm da Kirm odr Vnvgnw & Anxt futtda Anxt futtda – tbn iaswnrn` qunstgda wbgcb gs ilsd kirmn` odr rnvgnw wgll fn nviluitn`.
Pd sivn tbn iaswnr, clgcm da tbn Sivn & Anxt futtda Anxt futtda – tbn iaswnrn` qunstgda wgll fn nviluitn`.
Vnsdaiacn N`uvnaturns Lgkgtn` VNHGSPNV VNHGSPNVN@ N@ & CDVUDVIPN DOOGCN : CH Pdwnr, I-0? & >6, GUGI, GUGI, Anir Cgty Kill, Jbiliwir Jbiliwir Vdi`, Mdti (Vij.) (Vij.) - 36055> Ub.Ad. : 5800-6888888, 5800-6888855 | 5800-6888855 | Pdll Ornn : 9255 6>2 >>>> | OIR Ad. : +79-566-379?8666 : +79-566-379?8666 | Pd M Madw k kdrn :: sks VNSD iit >??88
Xnfsgtn : www.rnsdaiacn.ic.ga | N-kigl : cdatictErnsdaiacn.ic.ga | CGA :: ^25356VJ6558ULC560567 Pbgs ssdlutgda w wis ` `dwaldi` o o rdk V Vnsdaiacn J JNN ((I@_IACN@) 6 6597 S Sdlutgda p pdrtil
| JNN (I@_IACN@) 6597 | @IPN : 68-5>-6597 | UIUNV-9 | KNKDVW FISN@ | KIPBNKIPGCS
UIVP-GGG : KIPBNKIPGCS SNCPGDA-9 (Kixgkuk Kirms : 96) (50) qunstgdas. Pbgs snctgda cdatigas OD^V (50) qunstgdas. DAN do tbnsn odur dptgdas gs tbn cdrrnct iaswnr. Nicb qunstgda bis OD^V dptgdas DALW DAN do Odr nicb qunstgda, cbddsn cbddsn tbn cdrrnct cdrrnct dptgda cdrrnspda`gah cdrrnspda`gah td tbn cdrrnct iaswnr. iaswnr. Iaswnr td nicb qunstgda wgll fn nviluitn` iccdr`gah td tbn odlldwgah kirmgah scbnkn :
9.
Oull Kirms
:
Znrd Kirms
:
Anhitgvn Kirms
:
+3 Go DALW DALW tbn cdrrnct cdrrnct dptgda gs cbdsna. cbdsna. 5 Go adan do tbn dptgdas gs cbdsna (g.n. tbn qunstgda gs uaiaswnrn`).
–9 Ga ill dtbnr cisns.
I lgan y ; kx + 9 knnts tbn cgrcln (x – 3)6 + (y + 6)6 ; 6> it pdgats U ia` Y. Go kg` pdgat do UY bis ifscgssi do –
3 >
, tbna vilun do k sitgsogns
,` js]mm y ; kx + 9 de×m (x – 3)6 + (y + 6)6 ; 6> `ms U rOmm Y oc^aqvms vmsi gj `m_rb hSI =oa UY `m n/= oc^aq –
3 >
`m Bmqt j]mrm hS rc k l^rq"_ hmsrm hSI (I) ? k < 2 Ias.
(F) 6 k < 0
(C) –3 k < – 9
(@) 0 k < ?
(F)
Sdl. y;kx+9 U V Y
–6) C(3, –
Odr pdgat V, x ; 9
sldpn do CV ;
3
y ; 9 –
>
3k
> 3 >
6
9
3
k
3k >
3
V
>
, 9
3k >
9> 3k 9 k 3 9>
9>k – 3k6 ; 92 k6 – >k + ? ; 5 k ; 6, 3 6k0
Vnsdaiacn N`uvnaturns Lgkgtn` VNHGSPNV VNHGSPNVN@ N@ & CDVUDVIPN DOOGCN : CH Pdwnr, I-0? & >6, GUGI, GUGI, Anir Cgty Kill, Jbiliwir Jbiliwir Vdi`, Mdti (Vij.) - 36055> Ub.Ad. : 5800-6888888, 5800-6888855 | 5800-6888855 | Pdll Ornn : 9255 6>2 >>>> | OIR Ad. : +79-566-379?8666 : +79-566-379?8666 | Pd M Madw k kdrn :: sks VNSD iit >??88
Xnfsgtn : www.rnsdaiacn.ic.ga | N-kigl : cdatictErnsdaiacn.ic.ga | CGA :: ^25356VJ6558ULC560567 Pbgs ssdlutgda w wis ` `dwaldi` o o rdk V Vnsdaiacn J JNN ((I@_IACN@) 6 6597 S Sdlutgda p pdrtil
UIHN # 9
| JNN (I@_IACN@) 6597 | @IPN : 68-5>-6597 | UIUNV-9 | KNKDVW FISN@ | KIPBNKIPGCS
6.
Go z gs i cdkplnx aukfnr fnldahgah td tbn snt S ; {z : |z – 6 + g|
>
} ia` z5 S sucb tbit
9 | z 5 – 9 |
gs
0 – z5 – z5 gs – z z 6 g 5 5
kixgkuk. Pbna irh
=oa z ,` loNnJ li]=m lnq lnqUp= S ; {z : |z – 6 + g|
>
} ls
lNco^/mr hS rOmm rOmm z5 S fl gz`mj hS o`
9 | z 5 – 9 |
0 – z – z
5 5 cjmcj hS & vo/m`rn hS rc irh – z z 6 g 5 5
(I) Ias.
(C)
Sdl.
N
0
(F)
3 0
(C) –
6
(@)
6
U(z5) C
6 –g
|z – (6 – g)|
>
Odr |z5 – 9| td fn kgagkuk, z5 ; x5 + gy5 gs it pdgat U is sbdwa ga oghurn
0 ( z5 z5 ) 0 6x g(6 – x ) ; irh ; irh ; irh( – – g ) ; 6 6g y 6g y 6 z5 z5 6g
irh
3.
( 1 5)
Irni fdua`n` tbn pdgats (x, y) ga cirtnsgia plian sitgsoygah xy 2 ia` 9 y x6 wgll fn
`morZ = ry ns oc^aq i oc^aq (x, y) }mjm gzorc) {ms;mYy tms xy 2 ,di 9 y x6 `ms lirq"_ `jsi& (I) 9?a6 – Ias.
(I)
Sdl.
xy 2
90 3
(F) 2a6 –
8 3
(C) 2a6 –
90 3
(@) 9?a6 – ?
9 y x6 x6 . x ; 2 x;6
Vnsdaiacn N`uvnaturns Lgkgtn` VNHGSPNV VNHGSPNVN@ N@ & CDVUDVIPN DOOGCN : CH Pdwnr, I-0? & >6, GUGI, GUGI, Anir Cgty Kill, Jbiliwir Jbiliwir Vdi`, Mdti (Vij.) - 36055> Ub.Ad. : 5800-6888888, 5800-6888855 | 5800-6888855 | Pdll Ornn : 9255 6>2 >>>> | OIR Ad. : +79-566-379?8666 : +79-566-379?8666 | Pd M Madw k kdrn :: sks VNSD iit >??88
Xnfsgtn : www.rnsdaiacn.ic.ga | N-kigl : cdatictErnsdaiacn.ic.ga | CGA :: ^25356VJ6558ULC560567 Pbgs ssdlutgda w wis ` `dwaldi` o o rdk V Vnsdaiacn J JNN ((I@_IACN@) 6 6597 S Sdlutgda p pdrtil
UIHN # 6
| JNN (I@_IACN@) 6597 | @IPN : 68-5>-6597 | UIUNV-9 | KNKDVW FISN@ | KIPBNKIPGCS
0 5
0
Vnqugrn` Irni ;
9
0.
2
9 6
0
2 y 3 / 6 y `y ; 2a y ; 2 a0 – 3 / 6 y 9
6 3
. 2 – 5 +
6 3
; 9?a6 –
90 3
9 sga 6 9 G K 6 0 cds 9 cds sg a
K;
Xbnrn
0
() ia` ( ) irn rnil aukfnrs ia` G gs ia g`natgty kitrgx do 6Ø 6.
: 5,6 Ia` * ;Kga do snt : 5,6 Go * ; Kga do snt
Pbna vilun do * + * gs
sg a 0 9 sga 6 9 K; G K 6 0 cds 9 cds
thmi () ,di ( ) dmLrod` li]=m,si hSI ,di G ,` ,` 6Ø 6 `m rVln` vmD=wh hSI =oa * ; lnqUp= : 5,6 `m ^=wurn ,d * ; lnqUp= : 5,6 `m ^=wurn rc * + * `m nmu hmsxm& (I) Ias. Sdl.
38
9?
(F)
98 9?
(C)
39 9?
(@)
67 9?
(@) k ; sga0 . cds0 + (9 + sga6)(9 + cds6) 6 + sga0cds0 + sga6cds6
sga 0 (9 sga 6 ) ; 6 cds0 9 cds sga0 ;
|k|
5 9 cds0 5 + ; | k | 6 9 cds
cds0 , –9 –sga6 ;
|k|
0 sg a
9 sga
6
(9 + sga6)
; –|k| ; – ]sga0cds0 + sga6cds6 + 6[ ; –]t6 + t + 6[
kga ; –
38 9?
Vnsdaiacn N`uvnaturns Lgkgtn` VNHGSPNV VNHGSPNVN@ N@ & CDVUDVIPN DOOGCN : CH Pdwnr, I-0? & >6, GUGI, GUGI, Anir Cgty Kill, Jbiliwir Jbiliwir Vdi`, Mdti (Vij.) - 36055> Ub.Ad. : 5800-6888888, 5800-6888855 | 5800-6888855 | Pdll Ornn : 9255 6>2 >>>> | OIR Ad. : +79-566-379?8666 : +79-566-379?8666 | Pd M Madw k kdrn :: sks VNSD iit >??88
Xnfsgtn : www.rnsdaiacn.ic.ga | N-kigl : cdatictErnsdaiacn.ic.ga | CGA :: ^25356VJ6558ULC560567 Pbgs ssdlutgda w wis ` `dwaldi` o o rdk V Vnsdaiacn J JNN ((I@_IACN@) 6 6597 S Sdlutgda p pdrtil
UIHN # 3
| JNN (I@_IACN@) 6597 | @IPN : 68-5>-6597 | UIUNV-9 | KNKDVW FISN@ | KIPBNKIPGCS
; sga0 cds0 ; 9 – 6sga6cds6 ; 9 – 38
+ ; –
9
+
9?
6
; –
38 9?
+
2 9?
9 6
(sga66)
kga ;
9 6
67
; –
9?
SNCPGDA-6 (Kixgkuk Kirms : 36) (52) qunstgdas. Pbgs snctgda cdatigas NGHBP (52) qunstgdas. DAN do tbnsn odur dptgda(s) gs (irn) cdrrnct iaswnr(s). Nicb qunstgda bis OD^V dptgdas. DAN DV KDVN PBIA DAN do cbddsn tbn dptgda(s) dptgda(s) cdrrnspda`gah td (ill) (ill) tbn cdrrnct iaswnr(s). iaswnr(s). Odr nicb qunstgda, cbddsn Iaswnr td nicb qunstgda wgll fn nviluitn` iccdr`gah td tbn odlldwgah kirmgah scbnkn.
:
Oull Kirms
+0 Go daly (ill) tbn cdrrnct cdrrnct dptgda(s) gs (irn) (irn) cbdsna.
: Uirtgil Kirms :
+3 Go +3 Go ill tbn odur dptgdas irn cdrrnct fut DALW tbrnn dptgdas irn cbdsna.
: Uirtgil Kirms :
+6 Go +6 Go tbrnn dr kdrn dptgdas irn cdrrnct fut DALW twd dptgdas irn cbdsna ia` fdtb do wbgcb irn cdrrnct.
: Uirtgil Kirms :
+9 Go +9 Go twd dr kdrn dptgdas irn cdrrnct fut DALW dan dptgda gs cbdsna ia` gt gs i cdrrnct dptgda.
Znrd Kirms :
5 Go adan do tbn dptgdas gs cbdsna (g.n. tbn qunstgda gs uaiaswnrn`). uaiaswnrn`).
: Anhitgvn Kirms :
>.
–9 Ga ill dtbnr cisns.
a – a
Go ia ;
wbnrn ia` irn rddts do nquitgda x6 – x – 9 ; 5 ia` fa ; ia+9 + ia –9. Pbna
–
a – a
=oa ia ;
–
thmi
vmSj lnb`j.m x6 – x – 9 ; 5 `s
(I) fa ;
a +
a
(F)
fa
95
a
27
a 9
Ias.
(IC@)
Sdl.
(I)
(C)
ia
95
a
a 9
95 27
(@) i9 + i6 +....ia ; ia +6 –9
a9 a9 a9 a9 a9( 6 9) a9(6 9) ; a9 > > a 9 > > a 9 a 9 6 6 ( 6) ( 6) ; ; > 9 a9 > a9 > 9 > a a 6 6 ; > ( ) ; a + a ;
a9
;
fa 95
a
a
95
95( ) 6 ; 955 95( )
(C)
fa ; ia+9 + ia –9 ;
(F)
2
;
nwy hS ,di fa ; ia+9 + ia –9. rms
ia
95 a
a9
;
9
95
27
95
;
95 6
9
95
95 9
;
–
>
95 95
95
96
27
a a 9 95 95 9 ; ; 95 95 9 9 ( )95a 95 95
(95( ) ) ; 955 95( ) .
a
95 27
Dptgda (C) gs cdrrnct.
Vnsdaiacn N`uvnaturns Lgkgtn` VNHGSPNV VNHGSPNVN@ N@ & CDVUDVIPN DOOGCN : CH Pdwnr, I-0? & >6, GUGI, GUGI, Anir Cgty Kill, Jbiliwir Jbiliwir Vdi`, Mdti (Vij.) - 36055> Ub.Ad. : 5800-6888888, 5800-6888855 | 5800-6888855 | Pdll Ornn : 9255 6>2 >>>> | OIR Ad. : +79-566-379?8666 : +79-566-379?8666 | Pd M Madw k kdrn :: sks VNSD iit >??88
Xnfsgtn : www.rnsdaiacn.ic.ga | N-kigl : cdatictErnsdaiacn.ic.ga | CGA :: ^25356VJ6558ULC560567 Pbgs ssdlutgda w wis ` `dwaldi` o o rdk V Vnsdaiacn J JNN ((I@_IACN@) 6 6597 S Sdlutgda p pdrtil
UIHN # 0
| JNN (I@_IACN@) 6597 | @IPN : 68-5>-6597 | UIUNV-9 | KNKDVW FISN@ | KIPBNKIPGCS
(@)
i9 + i6 + …..ia ; ig ;
g g
( 9)(9 a ) ( 9)(9 a ) ; (9 )(9 )( )
?.
5 Go i kitrgx K gs hgvna fy 9 3 5 =oa ,` vmD=wh K 9 3
9 6 9
6
9
(9 a ) (9 a ) (9 ) (9 )
;
6
;
3 ia` go K ; 9 6
9
6
a6
(9 )(9 )( )
3 hS ,di =oa K ; 9
6
a6
;
(C) + 6 + 3 ; 6
(@) + 6 ; 3
Sdl.
5 9 3
9 6 9
; –9 + ia+6
9 6 , rms rms 3 (F) |i`j(K6)| ; 29
(IC)
a 6 a 6
9 6 , tbna 3
(I) i`j(K –9) + (i`jK) –9 ; – K Ias.
>
6
9 3 6 9 3
+ 6 ; 9 + 6 + 3 ; 6
3 + + ; 3 ; 9, ; – 9, ; 9
|K| ; – 6 |i`jK6| ; |K6|6 ; |K|0 ; 9? i`j(K –9) ; |K –9| K ;
K 6
(i`jK) –9 ; i`j(K –9) ; –
8.
K 6
Pbnrn irn tbrnn fihs F9, F6, F3. F9 cdatigas > rn` ia` > hrnna fills. F6 cdatigas 3 rn` ia` > hrnna fills ia` F3 cdatigas > rn` ia` 3 hrnna fills. Fihs F9, F6 ia` F3 bivn prdfifglgtgns 3/95, 3/95 ia` 0/95 rnspnctgvnly do fngah cbdsna. cbdsna. I fih gs snlnctn` it ria`dk ia` i fill gs ria`dkly cbdsna ordk tbn fih. Pbna wbgcb do tbn odlldwgah dptgdas gs/irn cdrrnct4 (I) Urdfifglgty tbit tbn cbdsna fill gs hrnna nquils
37 25
(F) Urdfifglgty tbit tbn cbdsna fill gs hrnna, hgvna tbit tbn snlnctn` fih gs F3 , nquils (C) Urdfifglgty tbit tbn snlnctn` fih gs F3, hgvna tbit tbn cbdsna fill gs hrnna, nquils (@) Urdfifglgty tbit tbn snlnctn` fih gs F3, hgvna tbit tbn cbdsna fill gs hrnna, nquils
3 2 0 93 3 95
Vnsdaiacn N`uvnaturns Lgkgtn` VNHGSPNV VNHGSPNVN@ N@ & CDVUDVIPN DOOGCN : CH Pdwnr, I-0? & >6, GUGI, GUGI, Anir Cgty Kill, Jbiliwir Jbiliwir Vdi`, Mdti (Vij.) - 36055> Ub.Ad. : 5800-6888888, 5800-6888855 | 5800-6888855 | Pdll Ornn : 9255 6>2 >>>> | OIR Ad. : +79-566-379?8666 : +79-566-379?8666 | Pd M Madw k kdrn :: sks VNSD iit >??88
Xnfsgtn : www.rnsdaiacn.ic.ga | N-kigl : cdatictErnsdaiacn.ic.ga | CGA :: ^25356VJ6558ULC560567 Pbgs ssdlutgda w wis ` `dwaldi` o o rdk V Vnsdaiacn J JNN ((I@_IACN@) 6 6597 S Sdlutgda p pdrtil
UIHN # >
| JNN (I@_IACN@) 6597 | @IPN : 68-5>-6597 | UIUNV-9 | KNKDVW FISN@ | KIPBNKIPGCS
rbu OmSys F9, F6, F3 hSI F9 nsi > ymy vmSj > hjb xs iasi hSI F6 nsi 3 ymy vmSj > hjb xs ias hS ,di F3 nsi > ymy ,di 3 hjb xsias hSI OmSys F9, F6 vmSj F3 `ms pquus `b gzmo=`rm Òn'm% 3/95, 3/95 ,di 0/95 hSI ,` OmS ys `ms =maeoUA` :Gm ls pqum tmrm hS ,di klls klls ,` xsia =mae oUA` :Gm ls ou`myb ou`myb tmrb hSI rms `mSu&`mSuls `Omu lhb hS
Ias.
37
(I) gzmo=`rm
`b pqub xfZ xfZ xsia hjb hSI
(F) gzmo=`rm
`b pqub xfZ xfZ xsia hjb hS tco` tco` =h Mmr hS o` xsia OmSys F3 ls ou`myb x=b hS , hmsxbI
(C) gzmo=`rm
`b pqum x=m x=m OmSym F3 hS tco` =h Mmr hS o` ou`myb xfZ xsia hjb hjb hS ,
(@) gzmo=`rm
`b pqum x=m x=m OmSym F3 hS tco` =h Mmr hS o` ou`myb xfZ xsia hjb hjb hS ,
25
hmsxbI 3 2
0 93 3
hmsxbI
hmsxbI
95
(IFC)
Sdl. Fih9
Fih 6
Fih 3
Vn` Fills
>
3
>
Hrnna Fills
>
>
3
Pdtil
95
2
2
(I)
U(Fill gs Hrnna) ; U(F9)U(H / F9) U(F6 )U(H / F6 ) U(F3 )U(H / F3 ) ;
3
>
95
3
95
>
95
2
0
95
3
2
;
(F)
U(Fill cbdsna gs Hrnna/ Fill gs ordk 3r` Fih) ;
(C,@)
U(Fill gs ordk 3r` Fih / Fill cbdsna gs Hrnna) ;
25 3 2
U(F 3 )U(H / F 3 ) U(F9 )U(H / F9 ) U(F 6 )U(H / F 6 ) U(F 3 )U(H / F3 )
U(F9) ; U(F6) ; U(F3) ;
3 95 3 95 0 95 0
;
37
3 95
> 95
95 3
95
3 2 >
0
2
95
3
0 93
2
Vnsdaiacn N`uvnaturns Lgkgtn` VNHGSPNV VNHGSPNVN@ N@ & CDVUDVIPN DOOGCN : CH Pdwnr, I-0? & >6, GUGI, GUGI, Anir Cgty Kill, Jbiliwir Jbiliwir Vdi`, Mdti (Vij.) - 36055> Ub.Ad. : 5800-6888888, 5800-6888855 | 5800-6888855 | Pdll Ornn : 9255 6>2 >>>> | OIR Ad. : +79-566-379?8666 : +79-566-379?8666 | Pd M Madw k kdrn :: sks VNSD iit >??88
Xnfsgtn : www.rnsdaiacn.ic.ga | N-kigl : cdatictErnsdaiacn.ic.ga | CGA :: ^25356VJ6558ULC560567 Pbgs ssdlutgda w wis ` `dwaldi` o o rdk V Vnsdaiacn J JNN ((I@_IACN@) 6 6597 S Sdlutgda p pdrtil
UIHN # ?
| JNN (I@_IACN@) 6597 | @IPN : 68-5>-6597 | UIUNV-9 | KNKDVW FISN@ | KIPBNKIPGCS
2.
Lnt L9 ia` L6 `nadtn tbn lgans
;
r
g
ˏ
+ ( – – g + 6 j + 6 m ), V ia` ˏ
ˏ
ˏ
r
; (6 g – j + 6 m ), V ˏ
ˏ
ˏ
rnspnctgvnly. Go L3 gs i lgan wbgcb gs pnrpna`gculir td fdtb L 9 ia` L6 ia` cuts fdtb do tbnk, tbna wbgcb do tbn odlldwgah dptgdas `nscrgfn(s) L3 4
nmum
r
;
g
ˏ
+ ( – – g + 6 j + 6 m ), V ia` ˏ
ˏ
ˏ
r
; (6 g – j + 6 m ), V Òn'm% ˏ
ˏ
ˏ
js]mmvmsi L9 ,di L L6 `ms ou:ogr
`jrb hSI =oa L3 ,` js]mm hS tms o` L9 ,di L6 amsumsi `s yNcdr~ hS ,di amsumsi `ms `ms gz orUAsoar `jrb hSI rms ouNu nsi ls ls `mSuls `Omu lhb hS&
(I)
; t(6 g + 6 j – m ), t V
r
ˏ
(C)
;
r
9
ˏ
;
r
(6 g + ˏ
3
(F)
ˏ
m ˏ
) + t(6 g + 6 j – m ), t V ˏ
ˏ
Ias.
(F,C,@)
Sdl.
Fdtb hgvna lgans irn smnw lgans.
(@)
ˏ
r
;
6
(0 g + j + ˏ
7 6
ˏ
ˏ
) + t(6 g + 6 j – m ), t V ˏ
ˏ
ˏ
(6 g – j + 6 m ) + t(6 g + 6 j – m ), t V ˏ
ˏ
7
m
ˏ
ˏ
ˏ
ˏ
Sd `grnctgda ritgds do iay lgan pnrpna`gculir td tbnsn lgans irn ? g ? j 3m ˏ
ˏ
ˏ
<6, 6, –91 Udgats it sbdrtnst `gstiacn fntwnna hgvna lgans irn I (9 –, 6,6) L9 L6 F (6, –, 6) IF
lgan L9
IF lgan L6
2 6 6
Sd I , ,
7 7 7
2 6 6 g j m 6 g 6 j m 7 7 7
Adw nquitgda do rnqugrn` lgan r
ˏ
ˏ
ˏ
ˏ
ˏ
ˏ
Adw fy dptgda F, C, @ irn cdrrnct.
Vnsdaiacn N`uvnaturns Lgkgtn` VNHGSPNV VNHGSPNVN@ N@ & CDVUDVIPN DOOGCN : CH Pdwnr, I-0? & >6, GUGI, GUGI, Anir Cgty Kill, Jbiliwir Jbiliwir Vdi`, Mdti (Vij.) - 36055> Ub.Ad. : 5800-6888888, 5800-6888855 | 5800-6888855 | Pdll Ornn : 9255 6>2 >>>> | OIR Ad. : +79-566-379?8666 : +79-566-379?8666 | Pd M Madw k kdrn :: sks VNSD iit >??88
Xnfsgtn : www.rnsdaiacn.ic.ga | N-kigl : cdatictErnsdaiacn.ic.ga | CGA :: ^25356VJ6558ULC560567 Pbgs ssdlutgda w wis ` `dwaldi` o o rdk V Vnsdaiacn J JNN ((I@_IACN@) 6 6597 S Sdlutgda p pdrtil
UIHN # 8
| JNN (I@_IACN@) 6597 | @IPN : 68-5>-6597 | UIUNV-9 | KNKDVW FISN@ | KIPBNKIPGCS
7.
Nquitgda do nllgpsn N9 gs
x
6
7
y6 + ; 9, I rnctiahln V9, wbdsn sg`ns irn pirillnl td cd-dr`gaitn ixns gs 0
gascrgfn` ga N 9 sucb tbit gts irni gs kixgkuk. Adw Na gs ia nllgpsn gasg`n Va –9 sucb tbit gts ixns gs ildah cd-dr`gaitn ixns ia` bis kixgkuk pdssgfln irni a 6, a A. ourtbnr Va gs i rnctiahln wbdsn sg`ns irn pirillnl td cd-dr`gaitn ixns ia` gs gascrgfn` ga Na –9, bivgah kixgkuk irni a 6, a A. k
(I)
irni do rnctiahln (Va) < 60 k A
a9
(F) Lnahtb do litus rnctuk do N7 ;
9 ?
(C) @gstiacn fntwnna odcus ia` cnatrn do N7 ;
> 36
(@) Pbn nccnatrgcgtgns do N92 ia` N97 irn adt nquil Ias.
(IF) (icds,fsga
Sdl.
Irni Kix wbna ; 0>µ N9 N6 N3
N7
(I)
i
f
3 3
6 6
6 3
6 6
( 6 )6
( 6 )6
3
6
( 6 )2
( 6 )2
N9 + N6 + ….. + N k 6if
wbna k 9
9 6
9
; 0if ; 0.3.6 ; 60
6 6f
6
0.6
0
9
(F)
Lnahtb do LV gs nllgpsn ;
(C)
`gstiacn fntwnna odcus ia` cnatnr do nllgpsn ; i7 n7 ;
i
6.
2
6 .3
? 3 6
0
.
> 3
>
9?
Vnsdaiacn N`uvnaturns Lgkgtn` VNHGSPNV VNHGSPNVN@ N@ & CDVUDVIPN DOOGCN : CH Pdwnr, I-0? & >6, GUGI, GUGI, Anir Cgty Kill, Jbiliwir Jbiliwir Vdi`, Mdti (Vij.) - 36055> Ub.Ad. : 5800-6888888, 5800-6888855 | 5800-6888855 | Pdll Ornn : 9255 6>2 >>>> | OIR Ad. : +79-566-379?8666 : +79-566-379?8666 | Pd M Madw k kdrn :: sks VNSD iit >??88
Xnfsgtn : www.rnsdaiacn.ic.ga | N-kigl : cdatictErnsdaiacn.ic.ga | CGA :: ^25356VJ6558ULC560567 Pbgs ssdlutgda w wis ` `dwaldi` o o rdk V Vnsdaiacn J JNN ((I@_IACN@) 6 6597 S Sdlutgda p pdrtil
UIHN # 2
| JNN (I@_IACN@) 6597 | @IPN : 68-5>-6597 | UIUNV-9 | KNKDVW FISN@ | KIPBNKIPGCS
95.
Ga i ada rghbt iahln` trgiahln UYV, lnt p,q,r `nadtn tbn lnahtbs do tbn sg`ns dppdsgtn td tbn iahln U,Y,V rnspnctgvnly. Pbn kn`gia ordk V knnts tbn sg`n UY it S, tbn pnrpna`gculir ordk U knnts tbn sg`n YV it N, ia` VS ia` UN gatnrsnct it D. Go p ;
3
, q ; 9 ia` tbn ri`gus do tbn cgrcukcgrcln do tbn
UYV nquils td 9, tbna wbgcb do tbn odlldwgah dptgdas gs/irn cdrrnct 4
(I) lnahtb do VS ;
8 6
(C) Vi`gus do do gacgrcln gacgrcln do UYV ;
,` vln`ms.mb=
9
(F) lnahtb do DN ; 3 6
(6 –
UYV nsi p, q, r Òn'm%
?
3
) (@) Irni Irni do SDN ;
3
96
`ms.mms U,Y,V `s odgojr Bmqtmvmsi `b yNcmfZ hSI V ls ]mbpb xfZ nmo/=`m
Bmqtm UY `ms S gj[ oc^aq U ls ]mbpm x=m yNc Bmqtm YV `ms N gj onyrm hS rOmm js ]mm ]mm VS ,di UN oc^aq D gj gzorUAsa `jrb hSI =oa p ; (I) VS `b
yNcmfZ ; ;
(C) UYV `s Ias.
3
, q ; 9 rOmm UYV `s
8
gojde×m `b o;mP=m o;mP=m 9 hms rms ouNu nsi ls `mS ` uls mS `Omu lV= hS -
(F) DN `b
6
v^r% de×m `b o;mP=m o;mP=m ;
3
(6 –
6
3
9
yNcmfZ ;
) (@) SDN `m
?
{ms;mYy ;
3 96
(IFC)
U
r 6 r 6
Sdl.
q;9 D
S
Y
p; p sg a U
V
N
q sg a Y
6(9)
3
sgaU ;
3 6
, sgaY ;
9 6
U ; ?5µ dr 965µ ia` Y ; 35µ dr 9>5µ
fnciusn U + Y kust fn lnss tbia 925µ fut adt nquil td 75µ r
U ; 965µ ia` Y ; 35µ ia` V ; 35µ
Adw lnahtb do kn`gia VS ;
9 6p 6 6
6q6
sg a V
r 6 ;
6pqr 6 9 9 9 3 0 (9) Gari`gus ; ; 9 9 3 p q r p q r 6
9 pqr (nquil irni do ) 3 UN 6 0(9)
DN ;
6( Irni do DYV) ; YV
6
9 9
.9. 3 6
9 6
3 6
; 6 r ; 9
? 6 9
6 9
6
dptgda (I) gs cdrrnct
3
dptgda (C) gs cdrrnct
UN ;
8
9 9 0
3
6 3
9 6
; 9
3 sg a 35 3
?
Vnsdaiacn N`uvnaturns Lgkgtn` VNHGSPNV VNHGSPNVN@ N@ & CDVUDVIPN DOOGCN : CH Pdwnr, I-0? & >6, GUGI, GUGI, Anir Cgty Kill, Jbiliwir Jbiliwir Vdi`, Mdti (Vij.) - 36055> Ub.Ad. : 5800-6888888, 5800-6888855 | 5800-6888855 | Pdll Ornn : 9255 6>2 >>>> | OIR Ad. : +79-566-379?8666 : +79-566-379?8666 | Pd M Madw k kdrn :: sks VNSD iit >??88
Xnfsgtn : www.rnsdaiacn.ic.ga | N-kigl : cdatictErnsdaiacn.ic.ga | CGA :: ^25356VJ6558ULC560567 Pbgs ssdlutgda w wis ` `dwaldi` o o rdk V Vnsdaiacn J JNN ((I@_IACN@) 6 6597 S Sdlutgda p pdrtil
UIHN # 7
| JNN (I@_IACN@) 6597 | @IPN : 68-5>-6597 | UIUNV-9 | KNKDVW FISN@ | KIPBNKIPGCS
99.
Lnt P `nadtn i curvn y ; o(x) wbgcb gs ga ga tbn ogrst qui`riat ia` lnt tbn pdgat (9, 5) lgn da gt. Lnt tbn tiahnat td P it i pdgat U gatnrsnct tbn y-ixgs it WU ia` UWp bis lnahtb 9 odr nicb pdgat U da P. Pbna wbgcb do tbn odlldwgah dptgda kiy fn cdrrnct4
nmum P dÒ y ; o(x) `ms ou:ogr `jrm hS tms o` gz Omn Omn prqOmmZ 'm i nsi hSI ,di (9, 5) fl dÒ gj oLOmr hS nmum dÒ P `s oc^aq U gj Lg'mZ js]mm y-v{m `ms WU gj gzorUAsoar `jrb hS ,di P gj oLOmr hj oc^aq U `s oy, UWp `b yNcmfZ 9 hS rms ouNu nsi ls `mSuls `Omu `Omu lhb hmsxsi 4 9 (I) y ; a (F) xy' –
9 x
6
x
9 x
6
9
9 x
6
; 5 9 x
(C) y ; –a
–
6
x
+
9 x
6
9 x 6 ; 5
(@) xy' + Ias.
(IFC@)
Sdl.
(i, o(i)) r o'(x) fn `goonrnatgitgda do o(x) nquitgda do tiahnat (y – o(i)) ; o'(i)(x – i) put x ; 5 y – o(i) ; –io'(i) y ; o(i) – io'(i) yp ; (5, o(i) – io'(i)) i6
pyp ;
(io ' (i))6
9
i6 + i6 (o'(i))6 ; 9 9 i
(o'(i))6 ;
i
6
6
9 x6
(o ' (x)) put
9
x
6
x6 t
t 6 `t ;¹ 9 t6
9 9 t t a + c ; ¹ 6 9 t
y;¹
Uut x ; 9 ia` y ; 5 c ; 5
9 (9 t )6 t a + c ; ¹ 6 6 9 t
9 x
6
a
9
9 x x
6
+ c
Vnsdaiacn N`uvnaturns Lgkgtn` VNHGSPNV VNHGSPNVN@ N@ & CDVUDVIPN DOOGCN : CH Pdwnr, I-0? & >6, GUGI, GUGI, Anir Cgty Kill, Jbiliwir Jbiliwir Vdi`, Mdti (Vij.) - 36055> Ub.Ad. : 5800-6888888, 5800-6888855 | 5800-6888855 | Pdll Ornn : 9255 6>2 >>>> | OIR Ad. : +79-566-379?8666 : +79-566-379?8666 | Pd M Madw k kdrn :: sks VNSD iit >??88
Xnfsgtn : www.rnsdaiacn.ic.ga | N-kigl : cdatictErnsdaiacn.ic.ga | CGA :: ^25356VJ6558ULC560567 Pbgs ssdlutgda w wis ` `dwaldi` o o rdk V Vnsdaiacn J JNN ((I@_IACN@) 6 6597 S Sdlutgda p pdrtil
UIHN # 95
| JNN (I@_IACN@) 6597 | @IPN : 68-5>-6597 | UIUNV-9 | KNKDVW FISN@ | KIPBNKIPGCS
96.
Lnt o : V V fn hgvna fy
x > >x 0 95 x 3 95x 6 3x 9, x5 6 5 x 9 x – x 9 o(x) ; 3 6 9 x 3 (6 / 3) x – 0x 8x – (2 / 3) ( x – 6)a( x – 6) – x (95 / 3) x3 Pbna wbgcb do tbn odlldwgah dptgdas gs/irn Cdrrnct 4 (I) o gs datd (F) o gs adt `goonrnatgifln it x ; 9 (C) o bis i ldcil kixgkuk it x ; 9 (@) o gs gacrnisgah da ( –, 5) nmum o : V V ,` Yyu hS
x > >x 0 95 x 3 95x 6 3x 9, x5 6 5 x 9 x – x 9 o(x) ; 3 6 9 x 3 (6 / 3) x – 0x 8x – (2 / 3) ( x – 6)a( x – 6) – x (95 / 3) x3
rms ouNu nsi ls `mSu `mS - uls `Omu lhb hS 4 (I) o vmUAma` Yyu hSI (F) o x ; 9 gj vd`yub= uhbi uhbis hSI (C) o `m `m x ; 9 gj LOmmub= koUp"F koUp"F hSI (@) o ( – i d/mZnmu Yyu hSI –, 5) ns d/mZ Ias.
(IFC)
Sdl.
x > >x 0 95 x 3 95 x 6 3x 9 x 5 6 5 x 9 x x 9 o(x) ; 6 x 3 0 x 6 8 x 2 9 x 3 3 7 95 ( x 6) l a(x 6) x x3 3 >( x 9) 0 6 6x 9 o'(x) ; 6 6x 2x 8 la (x 6)
x5 5 x 9 9 x 3 x3
x> + >x0 + 95x3 + 95x6 + 3x + 9 timns vilun fntwnna – td 9 Ilsd (x – 6) la(x – 6) – x +
95 3
timns vilun fntwnna
9 3
td
Sd, riahn do o(x) gs V. Sd dptgda (I) gs cdrrnct o"(9 –) ; 6 ia` o"(9+) ; – 0 sd o'(x) gs ada-`goo it x ; 9 sd dptgda (F) gs cdrrnct o'(x) bis ldcil kixgki it x ; 9 sd dptgda (C) gs cdrrnct
Vnsdaiacn N`uvnaturns Lgkgtn` VNHGSPNV VNHGSPNVN@ N@ & CDVUDVIPN DOOGCN : CH Pdwnr, I-0? & >6, GUGI, GUGI, Anir Cgty Kill, Jbiliwir Jbiliwir Vdi`, Mdti (Vij.) - 36055> Ub.Ad. : 5800-6888888, 5800-6888855 | 5800-6888855 | Pdll Ornn : 9255 6>2 >>>> | OIR Ad. : +79-566-379?8666 : +79-566-379?8666 | Pd M Madw k kdrn :: sks VNSD iit >??88
Xnfsgtn : www.rnsdaiacn.ic.ga | N-kigl : cdatictErnsdaiacn.ic.ga | CGA :: ^25356VJ6558ULC560567 Pbgs ssdlutgda w wis ` `dwaldi` o o rdk V Vnsdaiacn J JNN ((I@_IACN@) 6 6597 S Sdlutgda p pdrtil
UIHN # 99
| JNN (I@_IACN@) 6597 | @IPN : 68-5>-6597 | UIUNV-9 | KNKDVW FISN@ | KIPBNKIPGCS
SNCPGDA-3 (Kixgkuk Kirms : 92) (5?) qunstgdas. Pbn iaswnr td nicb qunstgda gs i A^KNVGCIL _IL^N. _IL^N. Pbgs snctgda cdatigas SGR (5?) qunstgdas. Odr nicb qunstgda, natnr tbn cdrrnct auknrgcil vilun do tbn iaswnr usgah tbn kdusn ia` tbn da-scrnna vgrtuil auknrgc mnypi` ga tbn
plicn `nsghaitn` td natnr tbn iaswnr. Go tbn auknrgcil vilun bis kdrn tbia twd `ncgkil plicns truacitn/rdua`-doo truacitn/rdua`-doo tbn vilun td PXD `ncgkil PXD `ncgkil plicn`. wgll fn nviluitn` iccdr`gah td tbn odlldwgah odlldwgah kirmgah scbnkn : Iaswnr td nicb qunstgda wgll :
Oull Kirms
+3 Go DALW tbn cdrrnct cdrrnct auknrgcil vilun vilun gs natnrn`.
Znrd Kirms :
93.
/ 0
6
;
– / 0
Sdl.
(9 n
sg ax
(9 n
sg ax
)(6 – cds 6x )
/ 0
6
`x
Ias.
`x
;
5 Ga ill dtbnr cisns. cisns.
– / 0
tbna oga` 686.
rc 686 `m nmu Mmr `bot,I `bot,I
)(6 – cds 6x )
(0) 6
;
/ 0
(9 n
`x sg a x
….(9)
)(6 cds 6x )
0
fy i + f – x prdpnrty 6
G;
/ 0
(9 n
`x sg ax
)(6 cds 6x )
0
;
6
/ 0
(9 n
n sg ax `x sg ax
)(6 cds 6x )
`x
…..(6)
0
i``gah (9) ia` (6) 6G ;
6
/ 0
(9 n
(9 n sg ax ) sg ax
)(6 cds 6x )
`x
9
/ 0
6 (6 cds
0
9
6
x 9)
`x ;
9
/ 0
3 snc
0
snc
6
6
x
x6
`x
0
put tiax ; t,snc6 x`x ; `t ;
6
9
9
3t 5
`t 6
9
;
Adw 686 ; 68 Ø
6 3
9 t tia ; 9 9 / 3 5 3 9
0 68
6 3
tia 3 tia (5) ; 9
9
6 3 3 3 3 6
0
Vnsdaiacn N`uvnaturns Lgkgtn` VNHGSPNV VNHGSPNVN@ N@ & CDVUDVIPN DOOGCN : CH Pdwnr, I-0? & >6, GUGI, GUGI, Anir Cgty Kill, Jbiliwir Jbiliwir Vdi`, Mdti (Vij.) - 36055> Ub.Ad. : 5800-6888888, 5800-6888855 | 5800-6888855 | Pdll Ornn : 9255 6>2 >>>> | OIR Ad. : +79-566-379?8666 : +79-566-379?8666 | Pd M Madw k kdrn :: sks VNSD iit >??88
Xnfsgtn : www.rnsdaiacn.ic.ga | N-kigl : cdatictErnsdaiacn.ic.ga | CGA :: ^25356VJ6558ULC560567 Pbgs ssdlutgda w wis ` `dwaldi` o o rdk V Vnsdaiacn J JNN ((I@_IACN@) 6 6597 S Sdlutgda p pdrtil
UIHN # 96
| JNN (I@_IACN@) 6597 | @IPN : 68-5>-6597 | UIUNV-9 | KNKDVW FISN@ | KIPBNKIPGCS
90.
Lnt tbn pdgat F fn tbn rnolnctgda do tbn pdgat I(6, 3) wgtb rnspnct td tbn lgan 2x – ?y – 63 ; 5. Lnt P I ia` PF fn cgrclns do ri`gg 6 ia` 9 wgtb cnatrns I ia` F rnspnctgvnly. Lnt P fn i cdkkda tiahnat td tbn cgrclns PI ia` PF sucb tbit fdtb tbn cgrclns irn da tbn sikn sg`n do P. Go C gs tbn pdgat do gatnrsnctgda do P ia` tbn lgan pissgah tbrduhb I ia` F, tbna tbn lnahtb do tbn lgan snhknat IC gs
nmum F oc^aq I(6, 3) `m js]mm 2x – ?y – 63 ; 5 `s lmgs{m gzorocNc hS nmum hS nmum PI ,di PF Òn'm% 6 ,di 9 o;mP=mvmsi `s de×m hS otu`s `s^az Òn'm% I ,di F hSI nmum P de×mmsi PI ,di PF `b kBm=ou"F Lg'mZ js]mm fl gz`mj ls hS o` amsumsi de×m js]mm P `s ,` hb rjY hS =oa =oa C oc^aq I ,di F ls xqtjus dmyb js]mm ,di ,di js]mm P `m gzorUAsau oc^aq oc^aq hS rms js]mm ]m.K IC `b Ias.
yNcmfZ Mmr `jms `jmsi -
(95)
Sdl.
C
F
> L
I (6,3)
2x –?y –63 ; 5 9? 92 63
IL ;
95
CF CI CI
;
> 6
9
CI
6
>
9
6
CI ; 95
9>.
Go (i, `) `nadtns ia I.U. wgtb ogrst tnrk i ia` cdkkda `goonrnacn `. Go tbn I.U. odrkn` fy gatnrsnctgda do tbrnn I.U's hgvna fy (9, 3), (6, >) ia` (3, 8) gs i anw I.U. (I,@). Pbna tbn vilun do I + @ gs
=oa (i, `) ,` lnm^rj Js.mb `ms ou:ogr otl`m gzOmn ga i ,di lmdZv^rj ` hS =oa rbu lnm^rj Js.mb=msi (9, 3), (6, >) vmSj (3, 8) `s
gzorUAsau ls cub cub ,` lnm^rj Js.mb ,` ufZ lnm^rj lnm^rj Js.mb (I,@) hms rms I + @ `m nmu hmsxm -
Ias.
(9>8)
Sdl.
Ogrst snrgns gs {9, 0, 8, 95, 93,……..} Sncda` snrgns gs {6, 8, 96, 98, …….} Pbgr` snrgns gs {3, 95, 98, 60, ………}
Snn tbn lnist aukfnr ga tbn tbgr` snrgns wbgcb lnivns rnkiga`nr 9 da `gvg`gah fy 3 ia` lnivns rnkiga`nr 6 da `gvg`gah fy >. >6 gs tbn lnist aukfnr do tbgr` snrgns wbgcb lnivns rnkiga`nr 9 da `gvg`gah fy 3 ia` lnivns
rnkiga`nr 6 da `gvg`gah fy > Adw, I ; >6 @ gs L.C. K. do (3, >, 8) ; 95> I + @ ; >6 + 95> ; 9>8
Vnsdaiacn N`uvnaturns Lgkgtn` VNHGSPNV VNHGSPNVN@ N@ & CDVUDVIPN DOOGCN : CH Pdwnr, I-0? & >6, GUGI, GUGI, Anir Cgty Kill, Jbiliwir Jbiliwir Vdi`, Mdti (Vij.) - 36055> Ub.Ad. : 5800-6888888, 5800-6888855 | 5800-6888855 | Pdll Ornn : 9255 6>2 >>>> | OIR Ad. : +79-566-379?8666 : +79-566-379?8666 | Pd M Madw k kdrn :: sks VNSD iit >??88
Xnfsgtn : www.rnsdaiacn.ic.ga | N-kigl : cdatictErnsdaiacn.ic.ga | CGA :: ^25356VJ6558ULC560567 Pbgs ssdlutgda w wis ` `dwaldi` o o rdk V Vnsdaiacn J JNN ((I@_IACN@) 6 6597 S Sdlutgda p pdrtil
UIHN # 93
| JNN (I@_IACN@) 6597 | @IPN : 68-5>-6597 | UIUNV-9 | KNKDVW FISN@ | KIPBNKIPGCS
9?.
Lnt S fn tbn snt do kitrgcns do dr`nr 3 Ø 3, sucb tbit ill nlnknats do tbn kitrgx fnldah td {5, 9}. Lnt N9 ; {I S : |I| ; 5}= wbnrn |I| `nadtns `ntnrkgaiat do kitrgx I. N6 ; {I S : Suk do nlnknats do I ; 8}. Oga` U(N9 /N6)
nmum S, 3 Ø 3 Òn `s vmD=wvms `m lnqUp= fl gz`mj ls hS o` o` vmD=wh `s lBmb vd=d {5, 9} ls lNco^/mr hS =oa N9 ; {I S : |I| ; 5} thm¡ |I| vmD=wh I `m N6 ; {I S : I `s
lmjo.m` hS -
vd=dmsi `m =msx ; 8} rms U(N9 /N6) `m nmu Mmr `bot, -
Ias.
(5.>5)
Sdl.
N6 : Suk do nlnknats do I ; 8
Pbnsn irn 8 dans ia` 6 znrds
Aukfnr do sucb kitrgcns ; 7C6 ; 3?. Dut do ill sucb kitrgcns = N9 wgll fn tbdsn wbna fdtb znrds lgn ga tbn sikn rdw dr ga tbn sikn cdlukn
9 nh. 5 5
9 9
9
9 9 9
a(N9N6) ; 6 Ø 3C6 Ø 3C6 ; 92
Sd a(N9/N6) ;
a(N9 N6 )
;
a(N6 )
92 3?
98.
Nquitgda do tbrnn lgans
6
; g =
r
9
ˏ
r
; ( g + j )= ˏ
ˏ
r
; ( g + j + ˏ
ˏ
m ˏ
) ia` i plian x + y + z ; 9 irn hgvna
tbna irni do trgiahln odrkn` fy pdgat do gatnrsnctgda do lgan ia` plian gs , tbna (?)6 nquils
js]mmvmsi `s lnb`j.m lnb`j.m hS ,di x + y + z ; 9 ,` lnry `m lnb`j.m rms js]mmvms mmvmsi ,di ,di lnry `s gzorUAsau oc^aq ls cus o;mBmq t `m {ms;mYy hS, rms rms (?)6 `m nmu Mmr `bot, `bot, r
; g = ˏ
r
; ( g + j )= ˏ
r
ˏ
; ( g + j + ˏ
ˏ
m ˏ
) rbu
Ias.
(5.8>)
Sdl.
Uut (, 5, 5) ga x + y + z ; 9
; 9 U(9, 5, 5)
Uut (, , 5)
6 ; 9
9 9 Y , ,5 6 6
Uut (,,)
;
Irni do trgiahln UYV ;
92. 92.
9 9 9 V , , 3 3 3
9 3
9 6
UY UV ;
9 6
g j 6 g j m ; 9 g j m 96 3 6 ˏ
ˏ
ˏ
ˏ
ˏ
ˏ
ˏ
ˏ
3 (?)6 ; 5.8> 96
Pbit 9 fn i cufn rddt do uagty. Pbna kgagkuk vilun do snt {|i + f + c6|6= i, f, c irn `gstgact ada znrd gatnhnrs} nquils TTTTTT.
nmum
9 f`mfZ
`m ,` 4mu nwy hSI rms lnqUp= {|i + f + c 6|6= `m ^=wurn nmu hmsxm thmi i, f, c oBm^u&oBm^u
v'mw^= gw.mmZi` hSI Ias. Sdl..
(3) |i + f + c 6|6 ; i6 + f6 + c6 – if – fc – ci ;
9 6
](i – f)6 + (f – c)6 + (c – i)6[
gt wgll fn kgagkuk wbna i ; 9, f ; 6, c ; 3 sd kgagkuk vilun gs 3.
Vnsdaiacn N`uvnaturns Lgkgtn` VNHGSPNV VNHGSPNVN@ N@ & CDVUDVIPN DOOGCN : CH Pdwnr, I-0? & >6, GUGI, GUGI, Anir Cgty Kill, Jbiliwir Jbiliwir Vdi`, Mdti (Vij.) - 36055> Ub.Ad. : 5800-6888888, 5800-6888855 | 5800-6888855 | Pdll Ornn : 9255 6>2 >>>> | OIR Ad. : +79-566-379?8666 : +79-566-379?8666 | Pd M Madw k kdrn :: sks VNSD iit >??88
Xnfsgtn : www.rnsdaiacn.ic.ga | N-kigl : cdatictErnsdaiacn.ic.ga | CGA :: ^25356VJ6558ULC560567 Pbgs ssdlutgda w wis ` `dwaldi` o o rdk V Vnsdaiacn J JNN ((I@_IACN@) 6 6597 S Sdlutgda p pdrtil
UIHN # 90