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Fhebrd`jc Nlwcr Vcflg`hry Focfkpldgt








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EHPOCEHPDFV
8882/=2
]hpcr 2
Hprdn 2=28
8 olur
Tlu eust hgswcr lg toc qucstdlg phpcr.
Tlu wdnn gcc`9
Jclectrdfhn dgstruecgts
Prhfdgj phpcr (lptdlghn)
DGVPRSFPDLGV
Hgswcr hnn qucstdlgs.
Ssc h bnhfk lr `hrk bnuc pcg. Tlu ehy usc hg OB pcgfdn alr hgy `dhjrhes lr jrhpos.
Zrdtc ylur ghec, fcgtrc guebcr hg` fhg`d`htc guebcr dg toc blxcs ht toc tlp la toc phjc.
Zrdtc ylur hgswcr tl chfo qucstdlg dg toc sphfc prlvd`c`.
@l glt usc hg crhshbnc pcg lr flrrcftdlg anud`.
@l glt wrdtc lg hgy bhr fl`cs.
Tlu solun` solw hnn ylur wlrkdgj dg toc bllknct.
Tlu ehy usc h fhnfunhtlr.
DGALREHPDLG
Poc tlthn ehrk alr tods phpcr ds 3=.
Poc guebcr la ehrks alr chfo qucstdlg lr phrt qucstdlg ds solwg dg brhfkcts [ U.
Pods `lfuecgt ohs 81 phjcs. Hgy bnhgk phjcs hrc dg`dfhtc`.
DB28 =3\8882\=2/1R]
© SFNCV 2=28
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[Purg lvcr
2/33
4/5/25, 12:30 AM
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2
8
Ocrc ds h ndst la syeblns.
>
7
5
Follsc toc flrrcft syebln arle toc ndst alr chfo la tocsc sthtcecgts.
6.:
6.13
0.=63
0.60
:.1
:.1=
[8U
2
@rhw h rdgj hrlug` toc vhnuc la toc `djdt 0 dg toc guebcr 1.630
0
8=
0
8==
0
8===
0
8= ===
[8U
6
Vlnvc.
3x ‖ 2 5 6(x + 0)
x5
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[6U
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4/5/25, 12:30 AM
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6
0
Zlrk lut.
8 + 82 2
2 Ú 62 − 86
[8U
3
H pnhgc andcs bctwccg twl fdtdcs 8?61 ke hphrt.
Dt trhvcns ht hg hvcrhjc spcc` la ?3= ke/o.
Fhnfunhtc olw nlgj toc andjot thkcs.
Jdvc ylur hgswcr dg olurs.
olurs
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[2U
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0
1
Pcg tches (H tl I) cgtcrc` h flepctdtdlg tl budn` h el`cn fhr usdgj pnhstdf brdfks.
Flepctdtdlg runcs9
(8) Poc ehxdeue guebcr la bhttcrdcs tl plwcr toc el`cn fhr ds 1
(2) Poc ehxdeue ehss la toc el`cn fhr ds 8 kj.
(6) Poc wdggcr ds toc el`cn fhr wdto toc jrchtcst spcc`.
Poc sfhttcr jrhpos solw slec dgalrehtdlg hblut toc el`cn fhrs budnt by toc 8= tches.
2.3
C
D
2
I
@
8.3
Vpcc`
(ectrcs pcr
scflg`)
8
A
O
F
B
J
=.3
=
H
=
2
0
1
Guebcr la bhttcrdcs
?
8=
2.3
C
D
2
I
@
8.3
Vpcc`
(ectrcs pcr
scflg`)
8
F
A
O
B
J
=.3
=
https://www.scribd.com/embeds/566786680/content
H
=
=.2
=.0
=.1
=.?
Ehss (kj)
8
8.2
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3
2.3
C
D
2
I
@
8.3
Vpcc`
(ectrcs pcr
scflg`)
8
F
A
B
O
J
=.3
=
H
=
2
0
1
?
Guebcr la woccns
8=
82
(h) Flepnctc tocsc scgtcgfcs.
Pche
wdgs toc flepctdtdlg.
Pches
hg`
hrc `dsquhndadc` alr brchkdgj toc
flepctdtdlg runcs.
[2U
(b) Flepnctc tocsc scgtcgfcs tl `csfrdbc toc typc la flrrcnhtdlg solwg lg tocsc torcc
jrhpos.
Poc jrhpo la spcc` pnlttc` hjhdgst toc guebcr la bhttcrdcs solws
flrrcnhtdlg.
Poc jrhpo la spcc` pnlttc` hjhdgst toc ehss solws
flrrcnhtdlg.
Poc jrhpo la spcc` pnlttc` hjhdgst toc guebcr la woccns solws
flrrcnhtdlg.
[2U
https://www.scribd.com/embeds/566786680/content
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4/5/25, 12:30 AM
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1
:
@rhw toc rcancftdlg la toc trdhgjnc dg ndgc N.
N
[8U
?
Jhbrdcnnh—s bllk ohs 60? phjcs.
Voc ohs rch` 816 la toc phjcs.
Vhadh—s bllk ohs 312 phjcs.
Voc ohs rch` 223 la toc phjcs.
Pdfk () tl solw wol ohs rch` toc jrchtcr prlplrtdlg la tocdr bllk.
Volw hnn ylur wlrkdgj.
Jhbrdcnnh
Vhadh
[2U
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:
4
Poc thbnc solws dgalrehtdlg hblut h scqucgfc la phttcrgs eh`c arle rl`s.
@dhjrhe
]httcrg guebcr
8
2
6
Guebcr la rl`s
6
3
:
0
(h) @rhw toc `dhjrhe alr phttcrg guebcr 0 dg toc thbnc.
[8U
(b)
‖8
+8
+2
+6
ú2
Ú2
Ú6
Follsc twl la tocsc fhr`s tl flepnctc toc scgtcgfc `csfrdbdgj toc jcgcrhn tcre.
uebcr la rl`s gcc`c` 5 phttcrg guebcr
tocg
[8U
8= @rhw h rdgj hrlug` hnn toc guebcrs toht hrc jrchtcr tohg
=.03
=.33
=.13
=.:3
88
83
hg` ncss tohg
81
81
=.?3
=.43
[8U
88 Flepnctc tods fhnfunhtdlg.
02 5 2 Ú (
+ 6)
[8U
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?
82 Zrdtc toc rhtdl :3 fe 9 8.? e dg dts sdepncst alre.
9
[2U
86 Ndny plurs 3 ndtrcs la whtcr dgtl jnhsscs.
Chfo jnhss oln`s 223 ednndndtrcs.
Fhnfunhtc olw ehgy jnhsscs Ndny fhg adnn flepnctcny.
[8U
80 Zrdtc :63 hs toc prl`uft la dts prdec ahftlrs.
[2U
83 Zrdtc toc hgswcr tl chfo fhnfunhtdlg flrrcft tl twl `cfdehn pnhfcs.
Fhnfunhtdlg
Flrrcft tl twl `cfdehn pnhfcs
03 ú 86
8=6 ú 83
8: ú 88
[2U
https://www.scribd.com/embeds/566786680/content
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4
81 HBF@CA ds h ocxhjlg.
F
B
@
A
H
C
(h) Echsurc hgjnc HBF.
[8U
(b) HBF@CA ds cgnhrjc` by sfhnc ahftlr 6.
Zrdtc `lwg toc sdzc la hgjnc HBF dg toc cgnhrjc` sohpc.
[8U
8: Hgjcndquc whgts tl adg` lut olw stu`cgts dg ocr fnhss trhvcn tl sfolln.
@csdjg h qucstdlg alr ocr tl adg` tods `hth.
Dgfnu`c rcsplgsc blxcs.
[2U
https://www.scribd.com/embeds/566786680/content
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8=
8? Vlec stu`cgts follsc tocdr ahvlurdtc `rdgk arle toc sdx `rdgks solwg dg toc thbnc.
Vlec la toc prlbhbdndtdcs la toc stu`cgts follsdgj chfo `rdgk hrc solwg.
@rdgk
Pch
Flaacc
]rlbhbdndty
=.83
=.62
Ednk
Zhtcr
Flnh
=.=?
Lrhgjc
=.24
Porcc tdecs hs ehgy stu`cgts follsc ednk hs follsc flnh.
Flepnctc toc thbnc.
[2U
84 Poc cxfohgjc rhtc arle curls (₮) tl `lnnhrs ($) ds ₮8 5 $8.2
Flepnctc tocsc flgvcrsdlgs.
₮81= tl `lnnhrs.
$
$:1.?= tl curls.
₮
[2U
2= H ahre ohs 83= ocfthrcs la nhg`.
Zrdtc tods hrch dg squhrc ectrcs.
e2
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[8U
20/33
4/5/25, 12:30 AM
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88
28 (h) Vlnvc toc dgcquhndty.
84 ≠ : − 6
[2U
(b) Rcprcscgt toc rhgjc la vhnucs alr x lg toc guebcr ndgc.
‖8= ‖4 ‖? ‖: ‖1 ‖3 ‖0 ‖6 ‖2 ‖8 =
8
2
6
0
3
1
:
?
4 8=
[8U
22 Poc lrdjdghn prdfc la h tcncvdsdlg ds rc`ufc` by 23%.
Pods gcw prdfc ds tocg dgfrchsc` by 23%.
Fhnfunhtc toc prdfc la toc tcncvdsdlg glw hs h pcrfcgthjc la toc lrdjdghn prdfc.
% [2U
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82
26 Poc `dhjrhe solws h scedfdrfnc.
GLP PL
VFHNC
Poc `dhectcr la toc scedfdrfnc ds 82 fe.
Fhnfunhtc toc pcrdectcr la toc scedfdrfnc.
fe [2U
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86
20 Ocrc hrc twl rcfthgjncs.
GLP PL
VFHNC
? fe
? fe
83 fe
83 fe
Poc scflg` rcfthgjnc ds fut dg ohna hg` ildgc` tl toc adrst rcfthgjnc tl ehkc h gcw sohpc.
GLP PL
VFHNC
? fe
83 fe
Fhnfunhtc toc pcrdectcr la toc gcw sohpc.
fe [2U
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80
23 Poc thbnc solws toc guebcr la eusdf `lwgnlh`s blujot by 63 stu`cgts `urdgj h ychr.
Guebcr la
eusdf `lwgnlh`s
Arcqucgfy
=‖0
3
3‖4
81
8= ‖ 80
88
83 ‖ 84
6
784
=
Zrdtc `lwg toc el`hn fnhss.
[8U
21  hg`  hrc plsdtdvc dgtcjcrs.
 ds h ahftlr la 83
 ds h euntdpnc la 6
Zrdtc `lwg toc sehnncst plssdbnc hgswcr tl  Ú .
[8U
https://www.scribd.com/embeds/566786680/content
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83
2: Hoec` ohs h rl` 2 ectrcs nlgj.
GLP PL
VFHNC
2e
Oc futs toc rl` dgtl alur pdcfcs hg` uscs toce tl ehkc h rcfthgjnc.
GLP PL
VFHNC
Poc ncgjto la toc rcfthgjnc ds 6 tdecs toc wd`to.
Fhnfunhtc toc hrch la toc rcfthgjnc dg squhrc fcgtdectrcs.
fe2 [6U
2? Pdfk () toc cxprcssdlg toht ds fnlscst tl toc squhrc rllt la 6 h
1
8.3h2
8.3h6
8.:h2
8.:h6
6h6
[8U
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81
BNHGK ]HJC
]credssdlg tl rcprl`ufc dtces wocrc todr`-phrty lwgc` ehtcrdhn prltcftc` by flpyrdjot ds dgfnu`c` ohs bccg slujot hg` fnchrc` wocrc plssdbnc. Cvcry
rchslghbnc caalrt ohs bccg eh`c by toc pubndsocr (SFNCV) tl trhfc flpyrdjot oln`crs, but da hgy dtces rcqudrdgj fnchrhgfc ohvc ugwdttdgjny bccg dgfnu`c`, toc
pubndsocr wdnn bc pnchsc` tl e hkc hecg`s ht toc chrndcst plssdbnc lpplrtugdty.
Pl hvld` toc dssuc la `dsfnlsurc la hgswcr-rcnhtc` dgalrehtdlg tl fhg`d`htcs, hnn flpyrdjot hfkglwnc`jcecgts hrc rcprl`ufc` lgndgc dg toc Fhebrd`jc
Hsscssecgt Dgtcrghtdlghn C`ufhtdlg Flpyrdjot Hfkglwnc`jcecgts Bllknct. Pods ds prl`ufc` alr chfo scrdcs la cxhedghtdlgs hg` ds arccny hvhdnhbnc tl `lwgnlh`
ht www.fhebrd`jcdgtcrghtdlghn.lrj hatcr toc ndvc cxhedghtdlg scrdcs.
Fhebrd`jc Hsscssecgt Dgtcrghtdlghn C`ufhtdlg ds phrt la toc Fhebrd`jc Hsscssecgt Jrlup. Fhebrd`jc Hsscssecgt ds toc brhg` ghec la toc Sgdvcrsdty la
Fhebrd`jc Nlfhn Cxhedghtdlgs Vyg`dfhtc (SFNCV), wodfo dtscna ds h `cphrtecgt la toc Sgdvcrsdty la Fhebrd`jc.
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