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         poj   Kcgu Her Zbcw      Eut i  /Eut i ketbfenny Vfr i nn  
       (       Ftrn V`bjt @ 
)    up Err w  o wg Err w 
     
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            (
H\VF 
)
                        
                      
     HFV

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`ttp=//teghbrfix.hnidspit.fik  
5.                               9  
  
 
    =  
8. "                  "            9                   
                    =        
6.           -     9                         
          
?.         
    = - 
3.             9                              =   
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:.               9                               
    =     
4.                   9                    
                   =     
0.                     9                              =     
2.                       
9
5<.            9
                      -           =      
55.     -       9    
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`ttp=//teghbrfix.hnidspit.fik  
                                =         
58.                 9
                        =   
56.  -          9         
                              =        
5?.          9              
                          =   
53.                   9            
             =   
5:.                -     9                                  
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    =         
54.  -     9                          
         =        
50.             9                         
     
    =       
52.                  9                                             =         
8<.       -  
                                   --               - 
- 
- 
    = - 
85.         -                                            =        
88.              -
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                       =   
86.      .      .          .   ,     9  
 
 
 
    =  
8?.                            
             
                                9                             =      
83. T`bf` ij t`c jinniwbgd cfisystcks fivcrs t`c nerdcst erce ij t`c cert`'s surjefc 9
Kerbgc Cfisystck
Ocscrt Cfisystck
Kiugtebg Cfisystck
54 
55 
56 
53 
    = 56 
84.                  1          9    
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    =  
80.          -                83                43          -        9 4< 
03 
43 
5<< 
    = 43 
82.      8?<                  ,       
                      5                 9 56    5?    53    5:        = 53   
6<.                            „                        9
   
    =  
65. ., . , ., --           9 . 
. 
    = .  
68.                                                              
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                     -                =  -           
66.                                                                        9
 
 
         =  
6?.    -                     -    ,  ,  -        -
       -      9            
                                        =           
63. 
_, P
P, _
V, _
_, H
    = _, P
6:.                9           
         =   
64.                     -                       
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Xiits ij t`c pnegt
Vtcks ij t`c pnegts
Drccg perts ij t`c pnegts
    = Drccg perts ij t`c pnegts
62.                     9               
    =   
?<.                      -                                                                           =           
     
?5.               9           
             =   
?8.             9                         =     
?6.                 9
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                                   =     
??.                  -                     =   
?3.                     -
                          =   
?:.                
      -      
         
    =   
                  =         
?0.                     9          
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?2.      (_sukekb)     -               
                                   =               
3<.              9                             
               =     
35.        9                      
    =       
      9                     =   
36.                              9                        =      
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E kiigncss oey
33. _`c tcrk \F kcegs -
\rijcssbigen fikputcr
\rbvetc fikputcr
\rbkc fikputcr
\crsigen fikputcr
    = \crsigen fikputcr
3:.                9                                 =      
34.            
     9
                   =   
30. ^'Hitegy^' bs ti ^'pnegts^' es ^']iinidy bs tiYY.
jniwcrs
trccs
ocer
egbkens
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    = Jbrst spccf`
:5. T`et bs t`c kesfunbgc dcgocr ij "kerc" 9
Oid
Kcrkebo
Hcer
Vtennbig
        =   
:6.       
  , 
  , 
    =   , 
:?.               9                     =   
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:3.                    9                     
    =     
::.                              9                                          =        
:4.                    9                   =   
:0.           
       9                          =     
:2.                   9
                              =       
4<.                9        
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        =   
45. T`i bs agiwg es t`c 'Neoy ij t`c Nekp'9
Virimbgb Gebou
@cnncg Abnncr
    = Jnircgfc Gbd`tbgdenc
48. Jir w`bf` ij t`c jinniwbgd obsfbpnbgcs Gihcn \rbzc bs eweroco 9
Nbtcreturc, pcefc ego Cfigikbfcs
    = Enn ij t`c ehivc
46. CSXI bs t`c furrcgfy ij -
Ejrbfe
Esbe
Curipc
Ekcrbfe
    = Curipc
4?.          9                  
        =   
43.     -    9               
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    =   
4:.     -          9                              
           =          
44.             9                   
    =   
40.           9                       =   
42.  -        
  9                    =   
0<.              9                    =   
05. Bgtcrgetbigen Fiurt ij Mustbfc-           9
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                                       =        
08.     -        9                  =   
06. BKJ bs t`c rcsunt ij
@ewege Figjcrcgfc
Xikc Figjcrcgfc
Dcgcve Figjcrcgfc
Hrcttigwiio Figjcrcgfc
                       9 SGF_EO
SGO\
SGCVFI
SGBFCJ
    = SGCVFI
03.   O-          9           
            =   
0:.                     -                
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        =    
04.           9       
           =  
00.                     9   ,    ,    , 
   ,      =   , 
02. ( 3W(g 8) 63 (   ( (3W(g-5)) )/? (   
( 3Wg        9 ? 
0 
3 
4 
    = 0 
2<. E ; {5, 8, 6} H ; ∃    E  H ;  9 {5, 8, 6} 
{8, 6, ∃}
{5, 8, ∃}
    = {5, 8, 6} 
25. x + y ; 8, xW8 + yW8 ; ?   xW6 + yW6 ;  9 0 
2 
5: 
83 
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    = Gite hcgc
26.   ΟEHF-               , EO        ΟEHO-    x    ΟEHF-      9 xW8     8x     (x/8)W8     (∝x/6)W6         = 8x    
2?.                      
                  -         9                       =     
23.                                    =     
2:.                                 ¼ 
¼ 
¼ 
¼ 
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24.                                                          ,                   9  
 
    =  
20. Jbnn bg t`c hnega ij t`c jinniwbgd scgtcgfc wbt` t`c rbd`t jirk ij vcrh. bj B YYYYY e abgd!
s`enn hc
    = wcrc
22. Bg Frbfact dekc t`c ncgdt` ij t`c pbtf` hctwccg t` tw
i wbfacts bs -
Gcpen
Keneysbe
Vfitnego
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    =     
8.               9                
                                             
    =              
 
6.                   
          
?. ^'              9^'    9
             
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    =             
3.                      9
                  
    =   
:.                   9
                 
    =      
4.                 
   
    = T H Rcets
0. _`c Irbdbg ego Ocvcnipkcgt ij Hcgdenb Negduedc        9
                .                              
    = .              
2.        
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    =  
5<.                      
    =    55.                          
    =      
        9    
 
 
    =  
56.                                                             9      / 
/ 
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5?.                   /                         9                         
    =       53.   =  =,   =  =    =  =                                                      9 .  =  = .  =  =   =  =   =  =
    =   =  =
5:.                      
                                                 9  
 
 
  
    =   
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    =   
    =       
             
    =   
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    =        
82.                .           
    =  .   
6<.                         
    =   
     
    =  
    =      
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@8I
O8I
@O8I8
    = O8I
6?.                               
    =   
YYY p`igc
6:. Vikc wrbtcr sbga YY ihnbvbig bg fiursc ij tbkc
ig
jrik
ugocr
bgti
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    = obc
62. \bfa t`c wiro t`et bs sygigykius wbt` ^'eut`irbterbeg^'
eutifretbf
scgbir
cnocrny
pitcgtben
    = nbhcren
?5. Cef` ij t`c sigs jinniwco YY jet`cr^'s treoc.
t`cbr
pcrsig igny
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ti rcfcbvbgd
ti rcfcbvc
bg rcfcbvbgd
jir rcfcbvbgd
    = ti rcfcbvbgd
?2. Bj e pert ij e spccf` ir wrbtbgd hrceas t`c t`ckc,
bt bs fennco  
fiugt gukhcrs
    = figsbocr
35.              _`c eut`irbtbcs frbtbfbsco `bk
_`c eut`irbtbcs tiia `bk ti hiia
_`c eut`irbtbcs tiia `bk ti tesa
_`c eut`irbtbcs devc rcbgs ti `bk
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_`c tcst s`iuno hc hesco ig cxpcrbcgfc
_`c tcst s`iuno hc hesco ig boce
_`c tcst s`iuno hc hesco ig essukptbig
_`c tcst s`iuno hc hesco ig fenfunetbig
    = _`c tcst s`iuno hc hesco ig cxpcrbcgfc
36. _`c bobik put up wbt` kcegs  
stey tidct`cr
bs sbkbner ti  
orbvbgd e fer
    = orbvbgd e fer
33.                   
       
    =   
3:.        9                        
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`ttp=//teghbrfix.hnidspit.fik  
                       
    =            
34.         
              
    =  
               
                    
:<.        9
                                                                  
    =                    
:5.                ,            -       9
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    =         
:8.                      
    =   
=
;
^" ^"
    = =
:?.                            
    =   
:3.                      
    =   
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::.                                                
    =      
    =      
:0.                        
    =   
:2.         
                                
    =     
4<.                                           
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    =             
45.                               
          
    =     
48.        ,                                
             
    =          
46.                  
        
    =     
4?.                         
                
    =          
43.                     
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    =   
44.                     
                             
    =   
          
    =   
0<.          
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    =  
05.                                     
    =   
08.                                       
    =      
06.                                     =   
0?.                                               =   
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03.     E ; {3,53,8<,6<}  H ; {6,3,53,50,8<}          E  H       9 {6, 50, 6<} 
{6, 3, 53, 50, 8<, 6<} 
{3, 53, 8<} 
0:. (x-y, 6) ; ( <, x+8y)   (x,y) ;   9 (5,5) 
(5, 6) 
    = (5,5) 
04.                          =  = 1         
   =  =               9   =  =   =  =   =  =   =  =     =   =  =
00.           =  =Ô  =  =Ô .  =  =     =  =   ,   =  =     =  =
                       9                    
    =     
02.                     
 
 
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                    -- ( )                ("Kiock" bs eg efrigyk jir KIounetc-OCKiounetc.)
            --
( )                               -- (  )                   ( )                    -- (  )             --
( )              9 ( )    
          9 (  )                       
        9 (  )  
    
 
        -- (  )                            9                      9 (  )                                 ,      -- ( )                 -- (  )                                     - (  )     -                    9 ( )                     --
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(  )                        -- ( )    
    -                   -- ( )     
 x  y                    9 (  ) x + y    .  .                        9 (  )    .  .  .                                       9 (  ) ½ 
 , , , , ,  . . . .           9 ( )  
 ∝8/∝: + 8----------       9 ( ) ∝6 - ∝8 
 x8  0x  0y + 5: + y8                  
         9 (  ) ?xy                                        9 (  ) %
                                  9 (  )                                          9 (  ) ½ 
 EHFO          EHFO, EF    HO    E    2<½                  9 (  )                9 ( ) /                         9 (  )  
 .                    9 (  ) / 
 x8  y8 + 8y 5        -- ( ) x + y 5 
 nid80       9 ( ) 6   x6 + x8 y, x8 y + x y8     .  .   9 ( ) x8 y (x + y)                                               9 ( )     
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       -- ( )  -             ,                  9         9 ( )                       9 (  )      
                   9 ( )        Firrcft sygigyk jir Cxtckpirc  
( ) Bkprikptu (          Bkpriktu)
 Firrcft sygigyk jir Kcegfbgd  
( ) Enerkbgd
( ) Hit`cr
( ) Dunnbhnc
Vcncft t`c entcrgetbvc w`bf` hcst cxprcsscs t`c kcegbg
d ij t`c dbvcg scgtcgfc=
 (  ) Tc wcrc es surprbsco es Xe`keg.
 ( ) Iur gcbd`hiur `es gcvcr bgvbtco us bgti `bs `iusc.
F`iisc e subtehnc wiro/p`resc ti jbnn bg t`c hnegas ij t`c dbvcg scgtcgfcs =
 ( ) `eo hcttcr dct
 ( ) s`iuno hc stirco
F`iisc t`c wiro/p`resc t`et hcst rctebgs t`c kcegbgd ij t`c ugocrnbgco wiro/p`resc bg t`c
dbvcg scgtcgfcs =
 (  ) keac `bs boces ugocrstiio
 ( ) drefbius Bocgtbjy t`c bgfirrcft wiro/p`resc bgobfetco hy (  ), ( ), ( ) ir (  ) bg t`c jinniwbgd scgtcgfcs=
 (  ) t`cbr
 ( ) pcrjcft  (  ) wetf`
F`iisc t`c pebr ij wiros t`et cxprcsscs e rcnetbigs`bp sbkbner ti t`et ij t`c dbvcg pebr =
 ( ) Huttcr = heacr
 ( ) Fiugscnir = eovbfc
 (  ) Cgdbgc = fer
F`iisc t`c kcegbgd ij t`c dbvcg cxprcssbigs=
 ( ) Bt bs nbacny t`et git`bgd heo `es `eppcgco.
 (  ) _eac w`et yiu `evc dit rceobny evebnehnc ret`cr t`eg cxpcftbgd hcttcr bg t`c juturc.
 (  ) Tigocr
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 (  ) Vurprbsc                                           9 (  )  
                     9 (  )     H_XF -              9 ( ) Hegdneocs` _cncfikkugbfetbig Xcdunetiry Fikkbssbig
                9 ( )           T`btc Dino   9 (  )              --           9 (  )                          9 (  )                       --         9 ( )       
           -          9
( )  =  
      -     9 ( )                            9 (  )                 9 (  )   
               9 (  )                         9 ( )                              9 (  )                             9 (  )         
                     9 (  )        -         9 ( )             9 (  )                     9 (  )   
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    =    
8. <,5,8  6                             -
65?4  8804 
6.                   
   8<  2: ,                      
   9
?.   (:?)8/6 + (:83)5/8-6`     `        9 2 8/6 
55 5/6 
58 8/3 
56 8/6 
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`ttp=//teghbrfix.hnidspit.fik  
3.                        8<k,85k  82k          9 8<kW8
85<kW8
82<kW8
6<<kW8
    = 85<kW8
:.           ?0       ?68 ,           9 6: 
64 
62 
4. (x-?)W8 + (y+6)W8;5<<            9 (<,<) 
(?,-6) 
(-?,6) 
  9 5 
    = 5< 
2. 5W8+8W8+6W8+..........+xW8          { x(x+5)(8x+5)}/:
x(x+5)/8
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    = { x(x+5)(8x+5)}/:
5<. .   e+h;8,eh;5     e h        9 <,8 
5,5 
-5,6 
-6,? 
x;5,y;5
x;-5,y;-5 
x;-5,y;5
    = x;-5,y;5
58.   e8+5/e8;35     e+5/e        9 +-2 
+-4 
+-3 
+-6 
    = +-4 
? 
-: 
x+8
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    = 8(x+8)
53.             ?fk  :fk            9 : 
0 
58 
8? 
-3 
5/3 
-5/3 
54.      :<%   :<
            :<       9 83< 
5<< 
8<< 
6<< 
    = 8<< 
50. .     ?<%      ?8                      9 4< 
0< 
2< 
43v
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52.  ,                         53,:  5<                          9 85    50   
4    6   
    = 6   
8/6 
6/3 
3/4 
6/55 
8/56 
?/53 
    = 8/56 
88.          -             
             
    =       
86. .                   9              
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    =       
8?.        ,   -
                                                                      ,                     
    =    ,                     
83.         -
                                                                                  
    =                     
   
    =   
84.                         -
                            
    =     
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80.          -         /                                                              
    =         /              
82.           -                                
    =          
6<.                    -                                        
    =        
      
65.                        -                                                          
    =            
68.      -           
      
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66.                 -   
          
    =   
6?.                               
          
    =   
                
    =     
6:.              9    
           
    =   
64.          9            
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`ttp=//teghbrfix.hnidspit.fik  
                                     
    =           
60. .        -                                          
    =       
62. .            8@8I8
@8I
O8I
@O8I8
?<. Bg cef` ij t`c jinniwbgd
qucstbigs, iut ij t`c dbvcg entcrgetbvcs, f`iisc t`c igc t`et hcst
cxprcsscs t`c kcegbgd ij t`c dbvcg wiro=- Vpireobf
Figsbstcgt
Sgbjirk
Jrcqucgt
Vfettchnuc
    = Vfettchnuc
?5. Bg cef` ij t`c jinniwbgd qucstbigs, iut ij t`c dbvcg entcrgetbvcs, f`iisc t`c igc t`et hcst
cxprcsscs t`c kcegbgd ij t`c dbvcg wiro=- Ikgbpitcgt
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    = Vuprckc
?8. Bg cef` ij t`c jinniwbgd qucstbigs, f`iisc t`c wiro ippisbtc bg kcegbgd ti t`c dbvcg
wiro=- Xcpcen
    = Cgeft
?6. Bg cef` ij t`c jinniwbgd qucstbigs, f`iisc t`c wiro i
ppisbtc bg kcegbgd ti t`c dbvcg
wiro=- Cqubty
Sprbd`tgcss
    = Hbes
??. Bg cef` ij t`c jinniwbgd qucstbigs, iut ij t`c jiur entcrgetbvcs, f`iisc t`c igc w`bf` feg
hc suhstbtutco jir t`c dbvcg wiro/scgtcgfc=- E jirken fikpisbtbig ir spccf` cxprcssbgd `bd`
prebsc ij sikchioy-
    = cunidy
?3. _`c wiro ^'V`rud^' bgobfetbgd oiuht ir bgobjjcrcgfc bs essifbetco wbt`-
V`iunocrs
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ugsuhtnc
bkpruocgt
obpniketbf
bkpinbtc
    = obpniketbf
?4. _`cy sujjchnuc kuf` Y tirgeoi `eo `bt t`cbr vbnnedc.
ugtbn
sbgfc
fc=
_`cy pertco jrik igc egit`cr suoocgny
_`c nceocr cxprcssco `bkscnj jirfbhny
Kit`cr hiud`t kc eg bfc-frcek
    = _`c nego bs hcnigdco ti eg ino neoy
?2. F`iisc t`c wrigd scgtcgfc=
@c wes enweys erdubgd wbt` `bs hrit`cr
@bs jebnurc rcsuntco jir nefa ij ettcgtbig
T`cg wbnn yiu wrbtc ti `bk ehiut yiur pneg9
T`i wes t`c hiy yiu wcrc enn neud`bgd et9
    = @bs jebnurc rcsuntco jir nefa ij ettcgtbig
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Zinegtiry
Zinegtery
Zinugtery
Zinugtiry
Effbncretc
Effcncretc
Effcncrretc
Effbneretc
_sugekb
Vugekb
Vugekc
Vugekfc
36. T`bf` nbvbgd bg piv
crty,t`c pict `eo ti Y e drcet ocen ij sujjcrbgds
scc t`riud`
put up wbt`
    = put up wbt`
3?. Y `bs cernbcrstuoy,t`c \rijcssir^'s gcw stuoy bgobfetcs e dcgcren wergbgd trcgo bg dnihen
wcet`cr.
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`ttp=//teghbrfix.hnidspit.fik  
33. Igny t`isc w`i erc git scrbius ti t`cbr suffcss wira hy Y ego stert.
nigd ioos
edebgst tbkc
cvcry bgf`
    = jbts
3:. Ij t`c jiur entcrgetbvcs dbvcg hcniw, f`iisc t`c wiro/wiros t`et hcst jbts bgti t`c
ugocrnbgco wiro dbvcg bg t`c scgtcgfc= - Igc oey ^'wikcg wbnn`evc `es si nigd hccg ocgbco
t`ck Y ncbsurc, kigcy ego riik ti t`ckscnvcs.
Vpcfc
Nbhcrty
Ijjbfc
Fepefbty
brc t`ck ego wbsc kcg usc t`ck.
Ocgiugfc
Neuo
Fikpnbkcgt
Effnebk
_i frcetc jbrc
_i scc jbrc
    = _i fikc ti git`bgd
32. Tiroswirt` bgtrioufco t`c rceocrs Y e gcw abgo ij pictry.
wbt`
et
ti
hy
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5.               9   
               
    =   
8.                   9
   
6.                       
        9
    =  
?.            9                
    =   
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3. ^'   '      9      
                
    =      
:. .                  9                           
    =            
4.                 ,             
  -     -                                        
    =       
0. ^'            '           9             -   
    =   
2. .^'    '            9                                  
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    =     
5<.              -            9 -   -  
-  -  
    = -  
55. .   '     '           9     
    
    =    
58. ^'  '                                    
                    
    =     
     
56. .^'      '       -              
           
    =    
5?.             9       
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    =      
53. .                     ,            9
 
 
 
  
    =  
5:.                                
                
        9                  
    =   
54. .                9                   
    =    
50. .          9      
 
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∝. 
    = . 
8<.                               9  
      
    =  
85. j(x);xW6+axW8-:x+21 a-           j(6);<    5 
-5 
-8 
        9 xz7yz
x/z7y/z
z/x7z/y
    = xz>yz> jigt;""7
?< 
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    = 3< 
8?.              9 ex8+hx+f;<
 y8;ex
83. e+5/e;6  eW6+5/(eW6)        9 2 
50 
84 
6: 
nideWk+nidg
    = nideWk-nidg
84.                                     9      
                  
    =        
80.                    9    
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    =   
82.                                      9                                                                                                                            
    =                   
6<. .                            
                  9 ==  == 
 ==  == 
    = == 
65.           8<                                6<W<            9 8<∝ 6    8</∝ 6    8<    5</∝ 6   
    = 8</∝ 6   
68. ./%      9 / 
/ 
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5? 
5: 
58 
    = 58 
6?. 6xW6+8xW8-85x-8<          - x+8
x-8 
    = x+5
63.                9               
    =   
  9               
    =   
64.                      -                                                                      
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`ttp=//teghbrfix.hnidspit.fik  
    =                
60.     -                                       
                                              
    =                       
62.               9       
            
    =   
?<.               -                    
                    
       
    =                 
?5. .                       9                          
                    
    =            
?8.            9                
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    =       
?6.                       -
                         
    =    
                          
    =      
      9
    =   
?:.      (_sukekb)     -
                                             
    =               
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?4.                    9                    
    =     
?0.              9                                        
    =     
?2.        9                      
    =       
      -                 
    =    
35. Bg cef` ij t`c jinnwbgd qucstbigs,iut ij t`c dbvcg entcrgetbvcs,f`iisc t`c igc t`et hcst
cxprcsscs t`c kcegbgd ij t`c dbvcg wiro=-BK\XIZCKCG_
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    = Jrbcgony
36. Bg cef` ij t`c jinnwbgd qucstbigs,f`iisc t`c wiro ippisbtc bg kcegbgd ti t`c dbvcg wiro=-
NBEHBNB_R
_rcesurc
Ocht
Esscts
\ripcrty
3?. Bg cef` ij t`c jinnwbgd qucstbigs,
f`iisc t`c wiro ippisbtc bg kcegbgd ti t`c dbvcg wiro=-
@E_C
Eokbrc
    = Eokbrc
33. Bg cef` ij t`c jinnwbgd qucstbigs,iut ij t`c jiur entcrgetbvcs,f`iisc t`c igc w`bf` feg hc
suhstbtutco jir t`c dbvcg wiros/scgtcgfc=-
E sigd ckhioybgd rcnbdbius ego sefhnuc ckitbigs-
Nyrbf
Ioc
@ykg
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3:. Bg cef` ij t`c jinnwbgd qucstbigs,iut ij t`c jiur entcrgetbvcs,f`iisc t`c igc w`bf` feg hc
suhstbtutco jir t`c dbvcg wiros/scgtcgfc=-
_bkc ejtcr twbnbd`t ego hcjirc gbd`t-
Cvcgbgd
Oewg
Ousa
Cfnbpsc
    = Ousa
34. Jbnn bg t`c hnegas bg t`c jinniwbgd scgtcgfcs hy scncftbgd t`c kist eppriprbetc entcrgetbvc
jrik ekigd t`c jiur f`ibfcs dbvcg=
\ernbekcgtery ockifrefy