Matematica M2 - Subiectul III cu 100 de variante din 2009

8/11/2019 Matematica M2 - Subiectul III cu 100 de variante din 2009

1/101

www. mxahme`mdagacaurmat.dcjospjt . r j

Yarnaetm

221-122


2/101

Hnenstmruc M`uganmn, Gmrgmtrnnn NejvrnnGmetruc Eanjeac pmetru Gurrngucuhn Mvacuarm e evhetuc Rrmuenvmrsntar

DAGACA]TMAP 422>-HAPMHAPNG - Rrjda @, HP4, prjoraha H4

1 W]DNMGP]C NNN (72p) Yarnaeta 221

1. Wm gjesn`mr iueg na { }; 1 i S , ( )4

1 x

i x x

8+

.

=p a) W sm gacgucmzm `mrnvata iuegnmn i . =p d) W sm `mtmrhnem netmrvacmcm `m hjejtjenm acm iuegnmn i . =p g)W sm `mhjestrmzm g ( ) 0 pmetru jrngm 1 i x x 3 .

4. Wm gjesn`mr iueg na ( )4 , 2

; , .1, 2

x x m x i i x

x x

+ 8

+ 5

=p a) W sm aratm g iueg na i a`hntm prnhntnvm pm .

=p d) W sm gacgucmzm2

1

( ) . x i x `x

=p g)W sm `mtmrhnem vjcuhuc gjrpucun jd neut prne rjta na e kuruc axmnJx a oraingucun iueg nmn\ X ( ) ( ); 2


3/101



4 W]DNMGP]C NNN (72p) Yarnaeta 224 1. Wm gjesn`mr iueg na ; i , ( ) . x x i x m m8

=p a) W sm gacgucmzm2

( ) (2)cnh

x

i x i x

.

=p d)W sm aratm g iueg na i mstm grmsgtjarm pm .

=p g)W sm gacgucmzm (2) (1) ... (422>), ue`m ; , ( ) ( ) ( )W o o o o o x i x i x 8 + + + 8 . 4. Wm gjesn`mr iueg nncm , ; , i I ( ) n ( ) ( 1) x x i x xm I x x m8 8 .

=p a) W sm vmrningm g iueg na I mstm j prnhntnv a iueg nmn i . =p d)W sm gacgucmzm arna supraimmn pcaem `mtmrhneatm `m orainguc iuegnmn i , axa Jx n `rmptmcm 2 x 8 n 1. x 8

=p g)W sm `mhjestrmzm g ( )4

41

( ) ( ) ( ) 14, pmetru jrngm 1

( )

x i t i t i t x`t x

x i t

+8 5 .


4/101




1. Wm gjesn`mr iueg na ( ); 2, i + , ce( ) x i x x

8 .

=p a) W sm vmrningm g ( ) 4 ce' ,4

x i x

x x

8 pmetru jrngm ( )2< x + .

=p d) W sm `mtmrhnem netmrvacmcm `m hjejtjenm acm iuegnmn i. =p g)W sm `mhjestrmzm g = 77 = .

4. Wm gjesn`mr iueg na ; i , ( ) , 14 , 1

xm m x i x

x x

8

+ 5.


=pd) W sm gacgucmzm vjcuhuc gjrpucun jdneut prne rjta na e kuruc axmnJx , a oraingucun iueg nmn

\ X; 2,4o , ( ) ( )o x i x8 , \ X2,4 x .

=p g)W sm gacgucmzm2

4

( ) x i x`xm .


5/101



0 W]DNMGP]C NNN (72p) Yarnaeta 220 1. Wm gjesn`mr iueg na ; i , ( ) x i x x m8 + .

=p a) W sm gacgucmzm ( ), i x x . =p d) W sm aratm g i mstm `msgrmsgtjarm pm ( X,2 n grmsgtjarm pm \ )2, + .

=p g)W sm `mtmrhnem mguana asnhptjtmn jdcngm gtrm + ca orainguc iueg nmn i . 4. Wm gjesn`mr iueg na ;o , ( ) 7 4( 1) 7 1o x x x8 + .


2

( )o x `x .

=p d) W sm `mtmrhnem euhruc rmac 1a 5 astimc egt ( )( )71

9

a x ao x x m x m 8 .

=p g)W sm gacgucmzm( )1

4 422>

2

7 7 ( ) x o x `x+ .


6/101



= W]DNMGP]C NNN (72p) Yarnaeta 22= 1. Wm gjesn`mr iueg na ; i , ( ) 422> 422>( 1) 1 i x x x8 .

=p a) W sm gacgucmzm (2) (2) i i + . =p d) W sm sgrnm mguana taeometmn ca orainguc iuegnmn i e puegtuc ( )1


7/101




1. Wm gjesn`mr iueg na \ ); 2, i + , ( ) 11 4

x x i x

x x

+8 +

+ +.

=p a) W sm gacgucmzmcnh ( ) x

i x+

.

=p d) W sm vmrningm g 4 41 1( ) ( 1) ( 4) i x

x x 8 +

+ +, jrngarm ar in 2 x .

=p g)W sm `mhjestrmzm g \ )1 ( ) 4, pmetru jrngm 2,4

i x x + .

4. Wm gjesn`mr iueg na ( ) 4; , 1 x i i x x m 8 + + . =p a) W sm aratm g jrngm prnhntnv a iueg nmn i mstm grmsgtjarm pm .

=p d) W sm gacgucmzm ( )1

2

x i x `x .

=p g)W sm `mhjestrmzm g ( )

1

ce 17

m i x`x m x 8 + .


8/101



? W]DNMGP]C NNN (72p) Yarnaeta 22? 1. Wm gjesn`mr iueg na ; i , ( ) 4 x i x m x8 + .


( ) (1)cnh

1 x i x i

x.

=p d)W sm `mhjestrmzm g iueg na i eu arm asnhptjt gtrm + . =p g)W sm `mhjestrmzm g iueg na i mstm gjevmx pm .

4. Wm gjesn`mr iueg na \ ); 1, i + , 1( )(1 ce )

i x x x

8+

.


'( )m

i x `x .

=p d) W sm aratm g jrngm prnhntnv a iueg nmn i mstm grmsgtjarm pm \ )1, + .

=p g)W sm `mtmrhnem euhruc rmac ( )41,a m astimc egt arna supraimmn pcaem, `mtmrhneatm `m orainguc

iueg nmn i , axa Jx , `rmptmcm `m mguann 4 n x a x m8 8 , s inm moac gu7

ce .4


9/101



W]DNMGP]C NNN (72p) Yarnaeta 226

1. Wm gjesn`mr iueg na ( ) { }; 2, S i m+ , 1 ce( ) 81 ce

x i x

x

+.

=p a) W sm gacgucmzm ( )1

cnh x

i x

.

=p d) W sm vmrningm g 4

4( ) ,(1 ce )

i x x x

8 jrngarm ar in ( ) { }2< S x m + .

=p g)W sm `mtmrhnem mguana asnhptjtmn jrnzjetacm g trm + ca orainguc iueg nmn i .

4. Wm gjesn`mr iueg nncm ( ), ; 2, , i o + ( ) 1 n ( ) x i x m o x x

8 8 .

=p a) W sm `mtmrhnem hucnhma prnhntnvmcjr iuegnmn i o+ .

=p d) W sm aratm g 4 0 4

4 4

1

1 ( ( ) ( ))

4m m

i x o x `x +

+ 8 .

=p g) Ijcjsne` mvmetuac iaptuc g 4 44ad a d + , pmetru jrngm ,a d , s sm `mhjestrmzm g 4 0 4

1

1 1

0 x m mm `x

x

+ .


10/101



>> W]DNMGP]C NNN (72p) Yarnaeta 22> 1. Wm gjesn`mr iueg na ; , i 4( ) ( ), ue`m , , x i x m ax dx g a d g8 + + .

=p a) Rmetru 1, 2a d g8 8 8 , s sm gacgucmzmcnh ( ) x

i x+

.

=p d) W sm vmrningm g (2) (2) i i d 8 . =p g)W sm `mtmrhnem , ,a d g astimc egt (2) 2, (2) 1 i i 8 8 n (2) 0 i 8 .

4. Wm gjesn`mr netmoracmcm1

2

1

1

e

e x

N `x x

+8

+, *pmetru jrngm e .

=p a) W sm gacgucmzm1 N . =p d)Ijcjsne`, mvmetuac, iaptuc g 4 x x pmetru jrngm \ X2,1 x , s sm `mhjestrmzm g 4 1 N N .

=p g)W sm `mhjestrmzm g *11

+4ce4, pmetru jrngm1e e

N N ee

+ + 8 +

.


11/101




1. Wm gjesn`mr iueg na ; i ,4

4

, 1( )

, 1

x x x i x

x x x

8

+ 3.

=p a) W sm stu`nmzm gjetneuntatma iuegnmn i e puegtuc 2 1 x 8 . =p d) W sm gacgucmzm (2) (4) i i + . =p g) W sm `mhjestrmzm g iueg na i mstm gjegav pm ( )


12/101




1. Wm gjesn`mr iueg na ( ); 2, i + , 4 41 1

( )( 1)

i x x x

8 ++

.

=p a) W sm vmrningm g ( )( )

7 74 4

' ,

1

i x

x x

8

+

jrngarm ar in ( )2, x .

=p d) W sm `mhjestrmzm g iueg na i mstm `msgrmsgtjarm pm netmrvacuc( )2, .+ =p g)W sm gacgucmzm ( )7cnh

x x i x

+ .

4. Wm gjesn`mr iueg na ( ); 2, i + , ce( ) + x i x x x

8 .


ce( ( ) )

m x

i x `x x

.

=p d) W sm vmrningm g 4

1

( )4

m m i x `x 8 .

=p g)W sm aratm g nruc garm arm tmrhmeuc omemrac ( )1

( ) , 1

e

e

m

e

m

N i x x `x e

+

8

mstm j prjormsnm arnthmtng

gu ra na 1.


13/101



14 W]DNMGP]C NNN (72p) Yarnaeta 214 1. Wm gjesn`mr iueg na ( ); 2, i + , ( ) 4ce i x x x8 .

=p a) W sm gacgucmzm ( )( ), 2, i x x + . =p d) W sm `mhjestrmzm g iueg na i mstm gjevmx pm netmrvacuc( )2, + .

=p g)W sm aratm g ( )4

ce ,0

m i x jrngarm ar in ( )2, x + .

4. Wm gjesn`mr iueg nncm \ X; 2,1h i , 4 4 4( ) ( 1) +1, ue`mh i x h x h h x h8 + + .=p a) W sm gacgucmzm 1 ( ) i x `x .


22

( ) xm i x `x.

=p g)W sm `mtmrhnem *h astimc egt1

2

7( )

4h i x `x 8 .


14/101




1. Wm gjesn`mr iueg na { }; 1 , i S ( )1

xm i x

x8

+.

=p a) W sm vmrningm g ( )

4( ) ,

1

x xm i x

x

8

+ jrngarm ar in } S 1 x .

=p d) W sm `mtmrhnem mguana asnhptjtmn gtrm ca orainguc iueg nmn . i =p g) W sm `mhjestrmzm g ( ) 1 i x , pmetru jrngm 1 x 5 .

4. Rmetru inmgarme sm gjesn`mr 4

cem e

em

x N `x

x8 .

=p a) W sm vmrningm g 2 1 N 8 .=p d) W sm gacgucmzm1 N .=p g) Ijcjsne`, mvmetuac, iaptuc g 1 ce 4 x jrngarm ar in 4, x m m , s sm `mhjestrmzm g

14 11 4 ,1

e e

e

+

+ pmetru jrngm e .


15/101




1. Wm gjesn`mr iueg na ( ); 2, , i + ce( ) x i x x

8 .

=p a) W sm gacgucmzm ( ) i m . =p d)W sm `mtmrhnem mguana asnhptjtmn jrnzjetacm sprm + a oraingucun iueg nmn i . =p g)W sm `mhjestrmzm g , pmetru jrngm 2m x x m x 5 .

4. Wm gjesn`mr iueg na \ X; 0, 0 , i 4( ) 19 i x x8 .


4

2

( ) i x `x .

=p d) W sm vmrningm g =

=

2( ) x

`x i x

8 .

=p g)W sm `mhjestrmzm g 2

2 ( ) 6h

i x `x , jrngarm ar in\ X2,4h .


16/101



1= W]DNMGP]C NNN (72p) Yarnaeta 21= 1. Wm gjesn`mr iueg nncm ;e i , 2 1( ) 1 n ( ) ( ), pmetru jrngm . x e e i x m i x i x e+ 8 8

=p a) W mtmrhnem 1 ( ), i x x .=p d) W sm `mtmrhnem mguana asnhptjtmn jrnzjetacm g trm + a oraingucun iueg nmn 2 i .

=p g)W sm gacgucmzm 4 42( ) 1cnh

x i x x

x+ .

4. Wm gjesn`mr iueg na ; , i 4( ) 1 x i x m x8 + .

=p a) W sm vmrningm g 1

42

( ) 1.

1

i x`x m

x8

+

=p d) W sm `mtmrhnem arna supraimmn pcaem guprnesm etrm orainguc iuegnmn ( ) ( ); , xo o x xm i x 8 ,axa Jx n `rmptmcm `m mguann 2 x 8 n 1 x 8 .

=p g) W sm gacgucmzm ( )1

4

1

1 x i x `x+ .


17/101




1. Wm gjesn`mr iueg na4

1, 2; , ( ) , ue`m

, 2

xm x i i x a

x x a x

3 8

+ + .

=p a) W sm `mtmrhnema astimc egt iuegna i s inm gjetneu e puegtuc 2 2 x 8 .

=p d) W sm `mtmrhnem mguana taeometmn ca orainguc iuegnmn i e puegtuc 11< 1 Am

, puegt garm apar nem

oraingucun iuegnmn . i =p g)W sm aratm g iueg na ' i mstm grmsgtjarm pm ( )2


18/101



1? W]DNMGP]C NNN (72p) Yarnaeta 21?

1. Wm gjesn`mr iueg na ; i * , 4( ) xm

i x x

8 .

=p a) W sm gacgucmzm ( ), i x x .

=p d) W sm `mhjestrmzm g iueg na i mstm `msgrmsgtjarm pm ( X2, 4 . =p g)W sm aratm g 7 44 7m m .

4. Wm gjesn`mr iueg na ( ); 2, i + , ( ) ce i x x x8 .


4

1

( ( ) ce ) x i x x `x + .

=p d) W sm `mhjestrmzm g jrngm prnhntnv I a iueg nmn i mstm gjegav pm netmrvacuc(1, )+ .=p g)W sm gacgucmzm arna supraimmn pcaem guprnesm etrm orainguc iuegnmn \ X; 1, , ( ) ( )f m f x i x x 8 + ,

axa Jx n `rmptmcm 1 x 8 n x m8 .


19/101



16 W]DNMGP]C NNN (72p) Yarnaeta 216 1. Wm gjesn`mr iueg na ; i , ( ) ( )4 4 ( ) 1 1 i x x x8 + + .

=p a) W sm vmrningm g ( ) 0 i x x 8 , pmetru jrngm x .


( )cnh

x

i x

x+.

=p g)W sm `mtmrhnem netmrvacmcm `m hjejtjenm acm iuegnmn ( ) ( )( )'

; , i x

o o x i x

8 .

4. Wm gjesn`mr iueg na ( ) ( ); 2< , ce x i i x m x+ 8 + .=p a) tnne` g ( ); 2


20/101



1> W]DNMGP]C NNN (72p) Yarnaeta 21>

1. Wm gjesn`mr iueg na ( ); 2, i + , 4ce

( ) x

i x x

8 .

=p a) W sm gacgucmzm ( )( ), 2, i x x + .

=p d) W sm gacgucmzmcnh ( ) x i x+ . =p g)W sm `mhjestrmzm g 12 ( )

4 i x

m3 , pmetru jrngm ), x m + .

4. Wm gjesn`mr iueg na ( ); 2, i + , 4 41 1

( )( 1)

i x x x

8 +

.

=p a) W sm gacgucmzm 41

1( )

( 1)

m

x i x `x x

+ +

.

=p d) W sm aratm g jrngm prnhntnv a iueg nmn i mstm grmsgtjarm pm ( )2, + .

=p g)W sm vmrningm g 4

144 ( ) ( )61

i x i x `x 8 .


21/101




1. Wm gjesn`mr iueg na \ X; 2,1 i , ( )4

xm i x

x8

+.

=p a) W sm gacgucmzm \ X( ), 2,1 i x x .

=p d) W sm aratm g i mstm iuegnm grmsgtjarm pm \ X2


22/101




1. Wm gjesn`mr iueg na { }; 1 i S ,4 4

( )1

x x i x

x

+ +8 .


4

44 7

( ) ,1

x x i x

x

8 pmetru jrngm { } S 1 x .

=p d) W sm `mtmrhnem mguana asnhptjtmn jdcngm gtrm + ca orainguc iueg nmn i .

=p g)W sm aratm g ( ) 1 6 i x i x

, jrngarm ar in 1 x 5 .

4. Wm gjesn`mr iueg na ; i , ( ) 7 7 x x i x 8 + .

=p a) W sm gacgucmzm 1

1

( ) i x `x .

=p d) W sm gacgucmzm vjcuhuc gjrpucun jd neut prne rjta na e kuruc axmnJx , a oraingucun iueg nmn\ X; 2,1 , ( ) 7 xo o x 8 .

=p g)W sm aratm g jrngm prnhntnv I a iueg nmn i mstm gjegav pm ( X,2 n gjevmx pm \ )2, + .


23/101



44 W]DNMGP]C NNN (72p) Yarnaeta 244 1. Wm gjesn`mr iueg na ( ); 2, i + , ( ) ce i x x m x8 .

=p a) W sm gacgucmzm ( )( ), 2, i x x + .

=p d) W sm gacgucmzm ( )cnh( ) x m

i x

i x .

=p g)W sm `mtmrhnem netmrvacmcm `m hjejtjenm acm iuegnmn i.

4. Wm gjesn`mr iueg na \ ); 4, i + , 1 1 ( )1

i x x x

8 + .


1( )

1

m

i x `x x

.

=p d) W sm aratm g jrngm prnhntnv I a iueg nmn i mstm gjegav pm \ )4


24/101




1. Wm gjesn`mr iueg na ; , i ( )4( ) 4 1 x i x x x m8 + .=p a) W sm gacgucmzm ( ), i x x . =p d) W sm `mtmrhnem puegtmcm `m mxtrmh acm iuegnmn i .

=p g)W sm gacgucmzm ( )cnh 1( ) x

i x x

i x+

.

4. Wm gjesn`mr iueg nncm \ ), ; 1, i I + , ( ) 1ce i x x x

8 + n ( ) ( )1 ce 1I x x x x8 + + .

=p a) W sm aratm g iueg na I mstm j prnhntnv a iueg nmn i .


1

x i m `x.

=p g) W sm `mhjestrmzm g ( ) ( )44

1

7ce 4 1( ) 4 i x I x `x 8 .


25/101




1. Wm gjesn`mr iueg na ( ); 2, i + ,0

( ) ce0 x

i x x8 .

=p a)W sm gacgucmzm ( )( ), 2, i x x + .

=p d) W sm `mtmrhnem puegtuc `m mxtrmh ac iuegnmn i. =p g)W sm `mhjestrmzm g

4 1ce

0 x

x

, pmetru jrngm ( )2, x + .

4. Inm4

1

e xe N x m `x8 , pmetru e .

=p a) W sm gacgucmzm2 N . =p d) W sm aratm g 41 N m8 .=p g) W sm `mhjestrmzm g ( ) ( )111 4 1ee ee N N m m+++ + 8 , pmetru jrngm e .


26/101



4= W]DNMGP]C NNN (72p) Yarnaeta 24= 1. Wm gjesn`mr iueg na ; , i ( ) x i x m x8 .

=p a) W sm gacgucmzm ( ), i x x . =p d)W sm `mhjestrmzm g ( ) 1, i x pmetru jrngm x .

=p g)W sm sgrnm mguana asnhptjtmn jdcngm gtrm ca orainguc iueg nmn i . 4. Wm gjesn`mr iueg na ; , i ( ) 7 4 , i x x hx ex p8 + + + ue`m , ,h e p .

=p a) Rmetru 2, 7, 4h e p8 8 8 , s sm gacgucmzm1

2

( ) i x `x .

=p d) W sm `mtmrhnem , , ,h e p tnne` g ( 1) (1) 2 i i 8 8 n1

1

( ) 0 i x `x 8 .

=p g)W sm gacgucmzm 02

1cnh ( ) .

x

x i t `t

x+


27/101



49 W]DNMGP]C NNN (72p) Yarnaeta 249 1. Wm gjesn`mr iueg na ; , i ( ) 1 x i x m x8 .

=p a) W sm gacgucmzm `mrnvata iuegnmn i .=p d)W sm `mtmrhnem netmrvacmcm `m hjejtjenm acm iuegnmn i .

=p g)W sm aratm g 4 4

4, x x

m m x x+ + + pmetru jrngm x . 4. Wm gjesn`mr iueg nncm ( ), ; 2, , i o + ( ) 1 ce i x x8 + n ( ) ceo x x x8 .

=p a) W sm aratm g o mstm j prnhntnv a iueg nmn i .

=p d) W sm gacgucmzm ( ) ( )1

m

i x o x `x .

=p g)W sm `mtmrhnem arna supraimmn pcaem guprnesm etrm orainguc iuegnmno , axa Jx n `rmptmcm `m mguann1 x 8 n x m8 .


28/101




1. Wm gjesn`mr iueg na ( ); 2, i + , ( ) ce x i x x

8 .

=p a) W sm gacgucmzm ( ) ( ), 2< i x x + .=p d)W sm `mtmrhnem netmrvacmcm `m hjejtjenm acm iuegnmn i . =p g)W sm `mtmrhnem mguana asnhptjtmn jrnzjetacm ca orainguc iueg nmn i .

4. Wm gjesn`mr iueg na ; i , ( ) 1220 422> x i x x8 + . =p a) W sm `mtmrhnem ( ) i x `x . =p d) W sm aratm g jrngm prnhntnv a iueg nmn i mstm iuegnm grmsgtjarm pm .

=p g)W sm gacgucmzm ( )1

4

2

x i x `x .


29/101




1. Wm gjesn`mr iueg na ; i , ( )1

1, 1

ce , 1

xm x i x m

x x

8

5.

=p a) W sm stu`nmzm gjetneuntatma iuegnmn i e puegtuc 2 1 x 8

. =p d)W sm `mtmrhnem mguana asnhptjtmn gtrm ca orainguc iueg nmn i . =p g)W sm aratm g iueg na i mstm gjegav pm ( )1, + .

4. Wm gjesn`mr iueg na ; , i ( )4

44 1

1

x x i x

x

+ +8

+.

=p a) W sm `mtmrhnem ( ) ( )4 1 x i x `x+ .

=p d) W sm vmrningm g ( ) ( )1

2

ce 4 . i x `x m8

=p g)W sm aratm g ( ) ( )1

2

( 1) i x i x m `x m m 8 .


30/101



4> W]DNMGP]C NNN (72p) Yarnaeta 24> 1. Wm gjesn`mr iueg na ( ); 2, i + , ( ) ce i x x x8 .

=p a) W sm aratm g ( ) ( )1 1 1 i i 8 .=p d) W sm `mtmrhnem puegtuc `m mxtrmh ac iuegnmn i .

=p g)W sm gacgucmzm ( )cnh x

i x x x+

4. Wm gjesn`mr netmoracmcm1

21

xm N `x

x8

+ n

1

21

x xm K `x

x8

+.

=p a) W sm vmrningm g 1 N K m+ 8 .

=p d) ]tncnze`, mvmetuac, nemoacntatma 1 xm x + , a`mvrat pmetru jrngm x , s sm aratm g 14

K .


1

42

44 1

xm m N `x

x8 +

+.


31/101



72 W]DNMGP]C NNN (72p) Yarnaeta 272 1. Wm gjesn`mr iueg na ; i , ( ) 4 x i x x m8 + .

=p a) W sm gacgucmzm ( ) ( )2

2cnh

x

i x i

x.

=p d) W sm aratm g iueg na i mstm gjevmx pm . =p g)W sm rmzjcvm e hucnhma euhmrmcjr rmacm mguana ( ) ( ) ( ) 7 x i x i x i x m + 8 .

4. Rmetru jrngm euh r eaturac e sm gjesn`mr ( )1

2

1 e

e N x x `x8 + .

=p a) W sm gacgucmzm1 N . =p d) ]tncnze` iaptuc g ( ) ( ) 11 1e e x x ++ + , pmetru jrngm e n \ X2,1 x , s sm aratm g

422> 4226 N N .

=p g) Ijcjsne`, mvmetuac, n`metntatma ( ) ( ) ( )11 1 1e e e x x x x+

+ 8 + + , a`mvrat pmetru jrngm e n

x , s sm aratm g ( )( )

14 11 4

e

e e N e e

+

+8+ +

.


32/101



71 W]DNMGP]C NNN (72p) Yarnaeta 271 1. Wm gjesn`mr iueg na ( ); 2, i + , ( ) 4 ce i x x x8 .

=p a) W sm aratm g ( ) ( )4ce 1 i x x x 8 + , jrngarm ar in ( )2, x + .

=p d) W sm gacgucmzm ( )cnhce x

i x

x x+

.

=p g)W sm `mhjestrmzm g ( ) 14

i xm

, pmetru jrngm 2 x 5 .

4. Wm gjesn`mr iueg na ; , i ( ) x i x xm8 .

=p a) W sm `mtmrhnem ( )1

2

x i x m `x.

=p d) W sm aratm g ( )1

2

4 1. i x `x m 8


4

1

i x `x x

.


33/101


34/101




1. Wm gjesn`mr iueg na \ ); 2, i + , ( ) 41 x

x

m i x

x m8

+.

=p a)W sm vmrningm g ( ) ( )

( )44 1 x

x

m x i x

x m

8

+, pmetru jrngm \ )2, x + .

=p d)W sm `mtmrhnem mguana asnhptjtmn jrnzjetacm g trm + ca orainguc iueg nmn i .

=p g)W sm aratm g ( ) 11 ,1

m i x

m

+ jrngarm ar in 2 x .

4. Rmetru jrngm euh r eaturac emeuc e sm gjesn`mr,1

21

e

e x

N `x x

8+

.

=p a) W sm gacgucmzm1 N .

=p d) W sm aratm g 11

1e e N N

e+ + 8 +

, jrngarm ar in e .

=p g) ]tncnze`, mvmetuac, nemoacntatma4 1

e ee x x x

x

+, a`mvrat pmetru jrngm \ X2,1 x n e , s sm

`mhjestrmzm g 422>1

4212 14

N .


35/101



70 W]DNMGP]C NNN (72p) Yarnaeta 270 1. Wm gjesn`mr iueg na ; i , ( ) 4( 4 7) x i x x x m8 + + .


=p d) W sm `mtmrhnem( ) ( )

2

2cnh x

i x i

x . =p g)W sm `mhjestrmzm g iueg na i mstm grmsgtjarm pm .

4. Wm gjesn`mr iueg nncm ( ), ; 2, , i o + ( ) 4 ce i x x x x8 + n ( ) 4 ce 1o x x x8 + + . =p a)W sm aratm g i mstm j prnhntnv a iueg nmno.


m

i x o x `x .

=p g)W sm `mtmrhnem arna supraimmn pcaem guprnesm etrm orainguc iuegnmn i , axa Jx n `rmptmcm `mmguann 1 x 8 n x m8 .


36/101


37/101




1. Wm gjesn`mr iueg na ; i , ( ) ( )4 7 7 x i x x x m8 .=p a) W sm gacgucmzm ( ), i x x .=p d)W sm `mtmrhnem mguana asnhptjtmn jrnzjetacm sprm ca orainguc iueg nmn i . =p g) W sm aratm g taeometa ca orainguc iueg nmn , i `us e puegtuc `m gjjr`jeatm ( )4, ( 4) i , mstm

paracmc gu axa Jx .

4. Wm gjesn`mr iueg na ; i `at prne ( )4, 2

1, 2 x x x

i xm x

+ 38

+ .



1

i x `x .


14

2 4

m x i x `x 8 .


38/101




1. Wm gjesn`mr iueg na \ ); 1, , i + ( ) cece

x x i x

x x8

+.


cnh x

i x

.

=p d) W sm aratm g ( ) ( )( )44 ce 1

ce x i x

x x 8

+, jrngarm ar in \ )1, x + .

=p g)W sm `mtmrhnem mguana asnhptjtmn gtrm + ca orainguc iueg nmn \ ); 1, ,o + ( ) ( )

( )( )41 i x

o x i x

8+

.

4. Wm gjesn`mr iueg nncm , ; , i o ( ) ( )4ce 1 i x x8 + n ( ) 44

1

xo x

x8

+.

=p a) W sm vmrningm g ( )1

2

ce 4 i x `x 8 .

=p d) W sm `mhjestrmzm g ( ) ( ) .o x `x i x8 + G

=p g)W sm gacgucmzm ( )( )

4

41

o x`x

i x.


39/101





41

1

x i x

x8

+.

=p a) W sm aratm g ( )

( )4

4

0,

1

x i x

x

8

+

jrngarm ar in x .

=p d)W sm `mtmrhnem netmrvacmcm `m hjejtjenm acm iuegnmn i .

=p g) tnne` g ; ,o ( ) ( ) 1o x i x i x

8 +

, s sm `mtmrhnem

( ) ( ) ( ) ( )4 7 422> 4212422>2

cnh x

o x o x o x o x x

x

+ + + + +.

4. Wm gjesn`mr 4

cem

ee

m

N x x `x8 , pmetru jrngm .e

=p a) W sm gacgucmzm2 N . =p d) W sm aratm g 1e e N N + , jrngarm ar in e .

=p g)W sm `mhjestrmzm g arm cjg rmcana ( )4 4

1

4 1

4 4

e

e e

m m e N N

8 , pmetru jrngm .e


40/101



7> W]DNMGP]C NNN (72p) Yarnaeta 27> 1. Wm gjesn`mr iueg na ( ); 2, i + , ( ) ce 1 i x x x8 + .

=p a) W sm gacgucmzm ( ) ( ), 2< i x x + .=p d)W sm `mtmrhnem puegtuc `m mxtrmh ac iuegnmn i .

=p g)W sm aratm g ( )4 4 2m i .4. Wm gjesn`mr iueg na ; , i ( )

1, 1

1, 1

x x i x

x x

8

+ 3.


1

i x `x .

=p d) W sm `mtmrhnem ( )2,1a astimc egt ( ) 1a

a

i x `x 8 .


2

x x i m `x.


41/101




1. Wm gjesn`mr iueg na ( ); 2, i + , ( ) 4 41

i x x x

8 .

=p a) W sm gacgucmzm ( ) i x , pmetru ( )2, x + .

=p d) W sm `mtmrhnem mguana taeometmn ca orainguc iuegnmn i e puegtuc ( )1


42/101




1. Inm iuegna ( ); 1, i + , ( ) 4 11

x i x

x8 .

=p a) W sm gacgucmzm ( )( ), 1< i x x +

=p d) W sm vmrningm g ( ) ( )44

cnh 14 x

i x i

x8 .

=p g)W sm aratm g iueg na i mstm `msgrmsgtjarm pm netmrvacuc( )1, + .

4. Wm gjesn`mr iueg nncm ( ), ; 2, i o + , ( ) 1 x i x x

+8 n ( ) 1 ce

0o x x8 .

=p a) W sm aratm g ( )0

1

ce 0 4 i x `x 8 + .

=p d) W sm vmrningm g ( )0

1

7ce 0

0o x ` x 8 .

=p g)W sm gacgucmzm ( ) ( )4 41

m i x o x `x .


43/101



04 W]DNMGP]C NNN (72p) Yarnaeta 204 1. Wm gjesn`mr iueg na ; i , ( ) 4212 4212 x i x x8 + .

=p a) W sm `mtmrhnem ( ), i x x .=p d)W sm `mhjestrmzm g iueg na i mstm gjevmx pm .

=p g)W sm gacgucmzm ( ) ( )2

2cnh x

i x i x

.

4. Wm gjesn`mr iueg nncm ( ), ; 2, i o + , ( )( )4

1

1 i x

x x8

+ n ( ) 1o x

x8 .


1m

o x ` x 8 .

=p d) Ijcjsne` n`metntatma ( ) ( ) 4 1 x

i x o x x

8 +

, a`mvrat pmetru jrngm 2 x 5 , s sm gacgucmzm ( )1

m

i x `x .

=p g)]tncnze` nemoacntatma ( ) 41

4 i x

x , a`mvrat pmetru jrngm \ X1, x m , s sm aratm g 4 1 1ce

4m m

m+ + .


44/101





41

1

x x i x

x x

+8

+ +.

=p a) W sm `mtmrhnem mguana asnhptjtmn gtrm ca orainguc iueg nmn i .

=p d) W sm aratm g ( ) ( )( )

4

44

4 1

1

x i x

x x

8

+ +, pmetru jrngm x .

=p g)W sm `mhjestrmzm g jrngarm ar in x avmh ( ) ( )0 44 47

i x i x + .

4. Wm gjesn`mr iueg na ( ); 2, , i + ( ) 1 i x x x

8 .


m

i x `x .

=p d) W sm aratm g jrngm prnhntnv a iueg nmn i mstm gjevmx pm netmrvacuc( )2,+

. =p g)W sm `mhjestrmzm g vjcuhmcm gjrpurncjr jd neutm prne rjta na e kuruc axmnJx , a oraingmcjr

iueg nncjr \ X, ; 1, ,o f m ( ) ( )o x i x8 n ( ) 1f x i x

8

suet moacm.


45/101



00 W]DNMGP]C NNN (72p) Yarnaeta 200 1. Wm gjesn`mr iueg na ; i , ( ) 4 x i x x m8 + .

=p a) W sm vmrningm g ( )2 1 i 8 . =p d)W sm aratm g iueg na i mstm gjevmx pm .

=p g)W sm gacgucmzm ( )cnh x x i x

m+

.

4. Wm gjesn`mr iueg na ; i , ( ) x i x m x8 .


2

74

i x `x m8 .


2

x i x `x .

=p g)W sm aratm g `ag ;I mstm j prnhntnv a iueg nmn i , atuegn ( ) ( ) ( )4

ce 4 1m

m

i x `x I I x

8 .


46/101



0= W]DNMGP]C NNN (72p) Yarnaeta 20= 1. Wm gjesn`mr iueg nncm , ; i o , ( ) ( )1 x i x x m8 n ( ) xo x x m8 .

=p a) W sm vmrningm g ( ) ( ) i x o x 8 pmetru jrngm x .=p d)W sm `mtmrhnem mguana asnhptjtmn sprm ca orainguc iueg nmno .

=p g)@ag N mstm ue netmrvac, s sm `mhjestrmzm g iueg na o mstm grmsgtjarm pm N `ag n euhan`ag iueg na i mstm gjevmx pm N .

4. Wm gjesn`mr iueg nncm \ ), ; 1, i o + , ( ) ce x i x x

8 n ( ) 41 ce x

o x x

8 .

=p a) W sm aratm g iueg na i mstm j prnhntnv a iueg nmno .


m

i x o x `x .

=p g)W sm `mtmrhnem euhruc rmac ( )1


47/101




1. Wm gjesn`mr iueg na ( ) ( ) ( )4 1, 2


48/101



0? W]DNMGP]C NNN (72p) Yarnaeta 20? 1. Wm gjesn`mr iueg na \ ); 1, i + , ( ) 4ce i x x x8 .

=p a) W sm gacgucmzm ( ) \ ), 1< i x x + .

=p d) W sm `mhjestrmzm g 4212 1ce422> 4

.

=p g) Ijcjsne` iaptuc g 41 4 x x , jrngarm ar in 1, 4 x , s sm `mhjestrmzm nemoacntatma4 4ce x x x , pmetru jrngm 1, 4 x .

4. Rmetru inmgarme sm gjesn`mr 7

44

.1

e

e x

N `x x

8

=p a) W sm aratm g 21 7

ce4 4

N 8 .

=p d) W sm gacgucmzm1 N .=p g) W sm `mhjestrmzm g

1 1

47 4

,1

e e

e e N N e

+ +

+ 8+

jrngarm ar in e .


49/101




1. Wm gjesn`mr iueg na ( ); 2, i + , ( ) 1 11

i x x x

8 +

.

=p a) W sm aratm g ( )( )4 4

1 1

1 i x

x x 8

+, pmetru jrngm 2 x 5 .

=p d) W sm `mhjestrmzm g ( )1 1 ,1

i x x x

+

jrngarm ar in ( )1< x + .

=p g)W sm gacgucmzm ( ) 1cnh x

x i x i x+

.

4. Wm gjesn`mr ( )

7

41

1

1e e

N `x x x

8+

, ue`m e .

=p a) W sm vmrningm g 2 47 1

7 N N

+ 8 .

=p d) ]tncnze` n`metntatma ( ) 441 1

11

x x x x x

8 ++

a`mvrat pmetru jrngm 2 x , s sm `mtmrhnem 1 N .

=p g)W sm aratm g 41

1e e N N

e+ 3 , jrngarm ar in e , 4e .


50/101



0> W]DNMGP]C NNN (72p) Yarnaeta 20> 1. Wm gjesn`mr iueg na ( ); 2, i + , ( ) ( )4 ce i x x x8 .

=p a) W sm gacgucmzm ( ) ( ), 2, i x x .


1cnh

1 x

i x i

x.

=p g)W sm aratm g iueg na i mstm grmsgtjarm pm ( )2, + .

4. Wm gjesn`mr iueg nncm ( ), ; 2, i o + , ( ) ce i x x x8 + n ( ) 44

xo x

x

+8 .

=p a) W sm aratm g iueg na i mstm j prnhntnv a iueg nmno .


1

i x o x `x .

=p g)W sm `mhjestrmzm g ( ) ( )0

1

1o x i x `x 8 .


51/101



=2 W]DNMGP]C NNN (72p) Yarnaeta 2=2

1. Wm gjesn`mr iueg na ; i , ( )1 , 2

, 2 x x x

i xm x

+ 8

3.

=p a) W sm stu`nmzm gjetneuntatma iuegnmn i e puegtuc 2 2 x 8 .=p d)W sm `mtmrhnem mguana asnhptjtmn gtrm ca orainguc iueg nmn i .=p g)W sm `mhjestrmzm g iueg na i mstm gjegav pm netmrvacuc( )2, + .

4. Wm gjesn`mr iueg nncm , ; i o , ( )4 x i x m8 n ( )o x x8 .

=p a) W sm `mtmrhnem ( ) \ ), 2< i x `x x .


2

i x o x `x .

=p g)W sm vmrningm g ( ) ( )1

=2 >>

2

1122m

i x o x `x

8 .


52/101




1. Wm gjesn`mr iueg na ; i , ( ) i x 84 7 , 1

ce , 1

x x

x x

+

5.

=p a) W sm stu`nmzm gjetneuntatma iuegnmn i e puegtuc 2 1 x 8 .

=p d) W sm gacgucmzm ( )cnh x

i x x+

.

=p g)W sm `mtmrhnem ( ) ( )4 422>

422>

...cnh

x x x

x

i m i m i m

x+

+ + + .

4. Wm gjesn`mr iueg nncm , ; i I , ( ) 4 4 x i x m x x8 + + n ( )7

4 17

x xI x m x8 + + + .

=p a) W sm aratm g iueg na I mstm j prnhntnv a iueg nmn i .


2

i x `x .

=p g)W sm gacgucmzm arna supraimmn pcaem hronentm `m orainguc iuegnmn \ X; 2,1 ,f

( ) ( ) 4 4

1 x i x x x

f xm

8

+ , axa Jx n `rmptmcm `m mguann 2 n 1 x x8 8 .


53/101




1. Wm gjesn`mr iueg na ; i , ( ) i x 89 , 0

, 0

ax x

x x

3, ue`m a mstm parahmtru rmac.

=p a) W sm `mtmrhnem vacjarma rmac a cun a astimc egt iueg na i s inm gjetneu e puegtuc 2 0 x 8 .

=p d) W sm gacgucmzm ( )> i . =p g) W sm `mtmrhnem mguana taeometmn ca orainguc iuegnmn i e puegtuc ( )>,7 A .

4. Rmetru jrngarm e sm gjesn`mr iueg nncm \ ); 2,e i , ( )2 1 i x 8 n ( ) ( )12

x

e e i x i t `t + 8 .

=p a) W sm `mtmrhnem ( )1 i x , ue`m \ )2 , x .

=p d) W sm `mhjestrmzm g ( )4

11

1ce

0

m m i x x `x

+ 8 .

=p g) W sm gacgucmzm vjcuhuc gjrpucun jd neut prne rjta na e kuruc axmnJx , a oraingucun iueg nmn

\ X; 2,1o

, \ X4( ) ( ), 2,1o x i x x8

.


54/101




=p 1. a)W sm gacgucmzm4

41

7 4 1cnh

7 0 1 x x x

x x

+.

=p d)W sm `mtmrhnem netmrvacmcm `m gjevmxntatmn netmrvacmcm `m gjegavntatm acm iuegnmn ; i ,

( )0 4

9 16 14 i x x x x8 + + . =p g)Wm gjesn`mr iueg na ( ); 2,o + , ( ) ( )4 1 ceo x x x8 . W sm `mhjestrmzm g ( ) 2,o x jrngarm

ar in ( )2< x + .

4. Wm gjesn`mr iueg na ; i , ( )1, 2

1, 2

1

x x i x

x x x

+ 3

8

+

=p a) W sm `mhjestrmzm g iueg na i a`hntm prnhntnvm pm .


2

i x `x .

=p g) W sm `mtmrhnem arna supraimmn pcaem guprnesm etrm orainguc iuegnmn ( ) ( )4; ,o o x x i x 8 ,axa Jx n `rmptmcm `m mguann 1 x 8 n 4 x 8 .


55/101




1. Wm gjesn`mr iueg nncm , ; i o , ( )4

41

1

x i x

x8

+ n ( ) 1 x

xo x

m8 .

=p a) W sm vmrningm g ( ) ( )

4

4cnh 2

4 x

o x o

x

8 .

=p d) W sm `mtmrhnem gjjr`jeatmcm puegtucun `m mxtrmh ac iueg nmn i . =p g)W sm `mhjestrmzm g ( ) ( ) 4

11o x i x

m + , jrngarm ar in x .

4. Wm gjesn`mr iueg nncm \ ), ; 2< i o + , ( ) 11

i x x

8+

n ( ) 44

11

xo x

x8 +

+.


2

ce 4 i x `x 8 .


2

o x `x .

=p g)W sm aratm g mxnst ( )2 2


56/101



== W]DNMGP]C NNN (72p) Yarnaeta 2==

1. Wm gjesn`mr iueg na ; i , ( ) 7 1 , 14 , 1

x x i x

ax x

+ 8

+ 5.

=p a) W sm `mtmrhnem vacjarma parahmtrucun rmaca astimc egt iueg na i s inm gjetneu e puegtuc 2 1 x 8 .

=p d)W sm `mtmrhnem mguana asnhptjtmn jrnzjetacm g trm ca orainguc iueg nmn i .=p g)W sm gacgucmzm ( )( )( )cnh 1

x i x x

.

4. Wm gjesn`mr iueg na \ ); 2,I + , ( ) 1 11 4

I x x x

8 + +

.

=p a) W sm `mtmrhnem iuegna \ ); 2, i + astimc egt iueg na I s inm j prnhntnv pmetru iueg na i .=p d) W sm `mhjestrmzm g iueg na I mstm `msgrmsgtjarm pm \ )2, + .

=p g) W sm `mhjestrmzm g 1

2

1 1( )

9 4I x ` x .


57/101



=9 W]DNMGP]C NNN (72p) Yarnaeta 2=9 1. Wm gjesn`mr iueg na ; i , ( ) 1 x i x m x8 .


=p d) W sm gacgucmzm ( )

( )cnh

x

i x

i x+

.

=p g)W sm aratm g 422> 42124212 422>m m+ + .

4. Wm gjesn`mr iueg nncm \ ) ( )7

, ; 2, ,1

x i o i x

x+ 8

+ n ( ) ( )"o x i x8 .


2

1 ( ) x i x `x+ .


2

( )o x `x .

=p g)W sm `mtmrhnem prnhntnva iuegnmno a grmn asnhptjt sprm + mstm `rmapta `m mguanm 4 . y x8


58/101



=? W]DNMGP]C NNN (72p) Yarnaeta 2=? 1. Wm gjesn`mr iueg na ; i , ( ) 1 x i x m mx8 .

=p a) W sm gacgucmzm ( ), i x x .=p d) W sm aratm g iueg na i mstm gjevmx pm . =p g)W sm `mtmrhnem gjjr`jeatmcm puegtucun `m netmrsmgnm `netrm taeometa ca orainguc iuegnmn i e puegtuc

( )2,2J n `rmapta `m mguanm 1 x 8 .

4. Wm gjesn`mr iueg na ; i ,

( )7 , 2

, 2

x x i x

x x x

8

+ 5.



1

. i x `x

=p g)W sm `mhjestrmzm g `ag ( ) ( ) ,d g

a d

i x `x i x `x8

ue`m a,d,g suet euhmrm rmacmn iuegna ;I

mstm j prnhntnv a iueg nmn , i atuegn euhmrmcm ( ) ( ) ( ), ,I a I d I g suet tmrhmen gjesmgutnvn an uemnprjormsnn arnthmtngm.


59/101



=6 W]DNMGP]C NNN (72p) Yarnaeta 2=6 1. Wm gjesn`mr iueg na ( ); 2, i + , ( ) ce i x x x8 .

=p a) W sm gacgucmzm ( )( ), 2, i x x + .=p d) W sm `mtmrhnem netmrvacmcm `m hjejtjenm acm iuegnmn i . =p

g)W sm `mhjestrmzm g ( )1 ce , jrngarm ar in 2, x x x + +

.

=p 4. a)W sm gacgucmzm( )4

27

1

cnh .1

x

x

t t `t

x+

+ +

+

=p d) Wm gjesn`mr iueg na ( ); 2 , , i + ( ) 41

. i x x

8 W sm `mtmrhnem prnhntnva ( ); 2,I + a

iueg nmn , i garm vmrning rmcana (1) 2.I 8 =p g)W sm `mtmrhnem euhruc rmac pjzntnv a tnne` g vjcuhuc gjrpucun jd neut prne rjta na e kuruc axmnJx ,

a oraingucun iueg nmn \ X; 2,1 i , ( ) 4 i x ax8 mstm moac gu= .


60/101



=> W]DNMGP]C NNN (72p) Yarnaeta 2=>

1. Wm gjesn`mr iueg na { }; 1 i S , ( ) 11

x i x

x

+8 .

=p a) W sm gacgucmzm { }( ), S 1 i x x .

=p d) W sm gacgucmzm ( ) ( ) 11

cnh 1 x

i x i

x

+ . =p g)W sm `mtmrhnem asnhptjta jrnzjetac gtrm + ca orainguc iueg nmn i .

4. Rmetru jrngm euh r eaturac emeuc e sm gjesn`mr \ X; 2,1e i , ( ) e xe i x x m8 n ( )1

2e e N i x `x8 .


12

14

xm i x `x 8 .

=p d) W sm gacgucmzm1 N .=p g)W sm `mhjestrmzm g 1e e N eN m+ 8 , jrngarm ar in , 4e e .


61/101



92 W]DNMGP]C NNN (72p) Yarnaeta 292 =p 1. a)W sm stu`nmzm gjetneuntatma iuegnmn ; i , ( )

1 , 1

4 1 , 1

x x i x

x x

+ 38

e puegtuc 2 1 x 8 .

=p d) W sm gacgucmzm `mrnvata iuegnmn ;o , ( ) 7 44 1= 40 1o x x x x8 + .

=p g)W sm `mtmrhnem euhruc rmac pjzntnv a astimc egt4 4

cnh 74 x a

x a x a

8 .

4. Rmetru inmgarme sm gjesn`mr iueg nncm \ X; 1, 4e i , ( )1 1 1 1

.1 4e

i x x x x x e

8 + + + ++ + +


21

( ) . i x `x

=p d) Rmetru e s sm gacgucmzm arna supraimmn pcaem `mtmrhneatm `m orainguc iuegnmn e i , axa Jxn `rmptmcm 1, 4 x x8 8 .

=p g) tnne` g I mstm j prnhntnv a iueg nmn 1 i , s sm aratm g iueg na \ X; 1, 4 ,O =

( ) ( )

9

O x I x x8

mstm

grmsgtjarm.


62/101



91 W]DNMGP]C NNN (72p) Yarnaeta 291 1. Wm gjesn`mr iueg na ; i , ( ) 4 ce 4 x i x x8 .



7cnh

7 x

i x i

x.

=p g)W sm `mtmrhnem puegtuc `m mxtrmh ac iuegnmn i .=p 4. a) W sm `mtmrhnem prnhntnvmcm iuegnmn ; i , ( ) x i x m8 . =p d) W sm gacgucmzm vjcuhuc gjrpucun jdneut prne rjta na e kuruc axmnJx , a oraingucun iueg nmn

\ X; 1, ,o m ( ) ce xo x x

8 .

=p g) W sm gacgucmzm( )

7

1

14

`x x x +

.


63/101




1. Wm gjesn`mr iueg na { }; S 7 i , ( ) 17

x i x

x

+8 .

=p a) W sm gacgucmzm ( ) }, S 7 . i x x

=p d) W sm gacgucmzm 0( ) (0)

cnh 0 x i x i

x .

=p g)W sm `mtmrhnem mguana asnhptjtmn jrnzjetacm g trm + ca orainguc iueg nmn i .

4. Wm gjesn`mr iueg na \ ); 2, i + , ( ) 11

i x x

8+

.


2

( ) i x `x .

=p d) W sm gacgucmzm vjcuhuc gjrpucun jdneut prne rjta na e kuruc axmnJx , a oraingucun iueg nmn \ X; 2,4 ,f ( ) ( ).f x i x8

=p g) W sm aratm g `ag , 2a 5 , atuegn ( )1

1 1 .4 1

a

a i x `xa a

+

+ +


64/101




1. Wm gjesn`mr iueg na \ ); 1 , i + , ( ) 1 x x i x m x

8 + .

=p a) W sm gacgucmzm \ )( ), 1 , i x x + .

=p d) W sm stu`nmzm hjejtjena iueg nmn i pm \ )1, + .=p g) W sm sgrnm mguana taeometmn ca orainguc iuegnmn i e puegtuc ( )1 , A m .

4. Wm gjesn`mr iueg na ( ) 4= , 1

; ,7 1 , 1

x x i i x

x x

+ 3 8

+ .

=p a) W sm `mhjestrmzm g iueg na i a`hntm prnhntnvm.


7

. i x `x

=p g) W sm aratm g, pmetru jrngm \ )1,h arna supraimmn pcaem `mtmrhneatm `m orainguc iuegnmn i , axa

Jx n `rmptmcm `m mguann n 1 x h x h8 8 + mstm gmc pune=0

.


65/101




1. Wm gjesn`mr iueg nncm \ ), ; 2 , i f + , ( )4 1

x i x

x8

+ n ( ) ( )4f x i x8 .


( )4

4

4,

1

xf x

x

8

+

jrngarm ar in 2 x .

=p d) W sm `mtmrhnem mguana asnhptjtmn gtrm + ca orainguc iueg nmn i .=p g) W sm `mhjestrmzm g iueg na f mstm grmsgtjarm pm netmrvacuc \ )2< .+

4. Wm gjesn`mr iueg na \ ); 2, i + , ( ) 1 1 11 7

i x x x

8 ++ +

.

=p a) W sm aratm g ( )( ) ( )1

2

441 7

7 x x i x `x+ + 8 .


2

i x `x .

=p g) W sm `mtmrhnem euhruc rmac pjzntnvl astimc egt arna supraimmn pcaem `mtmrhneatm `m orainguciueg nmn i , axa Jx n `rmptmcm `m mguann 2 n x x l 8 8 s inm moac gu cel l + .


66/101



9= W]DNMGP]C NNN (72p) Yarnaeta 29=

1. Wm gjesn`mr iueg na ; i , ( ) 44

1

x i x

x8

+.


=pd) W sm `mtmrhnem puegtmcm `m mxtrmh acm iuegnmn i .

=p g) W sm `mhjestrmzm g ( ) ( )7 4 i x i x+ , pmetru jrngm x .4. Wm gjesn`mr iueg na ; i , ( ) 4 i x x8 + .


2

i x `x .


2

xm i x `x.

=p g) W sm `mtmrhnem euhruc rmac p astimc egt vjcuhuc gjrpucun jd neut prne rjta na e kuruc axmnJx , a

oraingucun iuegnmn \ X ( ) ( ); 2,1 ,f f x i px 8 , pmetru jrngm \ X2,1 x s inm hnenh.


67/101




1. Wm gjesn`mr iueg na ; , i ( )

4 7, 2

47

, 24

x x

x i x x x

+

+8

+ 3

.

=p a) W sm stu`nmzm gjetneuntatma iuegnmn i e puegtuc 2 2 x 8 . =p d) W sm `mtmrhnem mguana asnhptjtmn jrnzjetacm g trm + ca orainguc iueg nmn i .

=p g) W sm aratm g ( ) \ )7 , 4 , jrngarm ar in 2-HAPMHAPNG - Rrjda @, HP4, prjoraha H4

9? W]DNMGP]C NNN (72p) Yarnaeta 29? 1. Wm gjesn`mr iueg nncm , ; , i o ( ) 7 47 0 i x x x8 + n ( ) 7 4= 6 0o x x x x8 + .

=p a) W sm gacgucmzm ( ) ( ), i x o x x .

=p d) W sm gacgucmzm ( )

( )4cnh

x

i x

o x.

=p g)W sm `mhjestrmzm g ( ) 2 i x , ( )jrngarm ar in 2 , . x +

4. Wm gjesn`mr iueg nncm ( ), ; 2 , , i I ( ) 1 x x i x m x

8 + n ( ) ce xI x m x x8 + .

=p a) W sm `mhjestrmzm g iueg na I mstm j prnhntnv pmetru iueg na i .

=p d) W sm gacgucmzm ( )( )4

1

ce x I x x x `x + .

=p g)W sm `mtmrhnem parahmtruc rmach astimc egt arna supraimmn pcaem guprnesm etrm orainguc iuegnmn i ,axa Jx n `rmptmcm `m mguann 1 x 8 n x m8 s inm moac gu 4hm .


69/101



96 W]DNMGP]C NNN (72p) Yarnaeta 296 1. Wm gjesn`mr iueg na ; i , ( ) 7 7 i x x x8 + .

=p a) W sm gacgucmzm ( ), . i x x =p d) W sm aratm g iueg na i mstm grmsgtjarm pm .

=p g)W sm gacgucmzm 7 ( )cnh x i x x .

4. Wm gjesn`mr iueg na ; i , ( ) ( X

( )

1, ,1

4ce 4, 1 ,

x x

x i x x x

+

8 +

.

=p a) W sm `mhjestrmzm g iueg na i a`hntm prnhntnvm pm .


2

( 4) ( ) x i x `x .

=p g)W sm gacgucmzm ( )( )1

1cnh 4

x

x i t `t

x++ .


70/101



9> W]DNMGP]C NNN (72p) Yarnaeta 29>

1. Wm gjesn`mr iueg na ( ); 2 , i + , ( )4

ce4

x i x x8 + .

=p a) W sm gacgucmzm ( )( ), 2< i x x + .


1cnh .1 x

i x i x

=p g)W sm `mtmrhnem netmrvacmcm `m gjevmxntatmn netmrvacmcm `m gjegavntatm acm iuegnmn i .4. Wm gjesn`mr iueg na \ ); 2, i + , ( ) ( )1 ,e i x x e 8 + .

=p a) Rmetru 4e 8 s sm gacgucmzm ( )4

1

i x `x .

=p d) Rmetru 1e 8 s sm `mtmrhnem \ )2


71/101



?2 W]DNMGP]C NNN (72p) Yarnaeta 2?2 1. Wm gjesn`mr iueg na ( ); 2, i + , ( ) i x x x8 + .

=p a) W sm gacgucmzm ( )( ), 2, i x x + . =p d) W sm aratm g iueg na i mstm grmsgtjarm pm ( )2, + .

=p g)W sm `mtmrhnem gjjr`jeatmcm puegtucun oraingucun iueg nmn , i e garm taeometa ca oraingarm paeta moac gu

74

.

4. Wm gjesn`mr iueg na \ ); 2< i + , ( ) 1 1 .1 4

i x x x

8 ++ +

=p a) W sm vmrningm g ( )( ) ( ) 41 4 7 , 2 x x i x `x x x x+ + 8 + + G .


2

i x `x .

=p g)W sm gacgucmzm vjcuhuc gjrpucun jd neut prne rjta na e kuruc axmnJx , a oraingucun iueg nmn

\ X; 2 ,1 ,f ( ) ( ) ( )11

1f x i x i x

x8 +

+.


72/101



?1 W]DNMGP]C NNN (72p) Yarnaeta 2?1 1. Rmetru jrngm e sm gjesn`mr iueg nncm ( ); 2,e i , ( )2 ce i x x8 n ( ) ( )1e e i x i x8 .

=p a) W sm `mtmrhnem iuegna 1 i . =p d) W sm `mtmrhnem mguana asnhptjtmn gtrm + ca orainguc iueg nmn 4 i .

=p g)W sm aratm g ( ) ( )2 11 1 i x

i x , jrngarm ar in ( )2, x + .


1

x i x

x8

+.


2

m

i x `x .

=p d) W sm `mhjestrmzm g jrngm prnhntnv a iueg nmn i mstm iuegnm grmsgtjarm pm netmrvacuc( )2 , + .

=p g) W sm `mhjestrmzm g ( ) ( ) ( ) ( )1 4 7 0

2 1 4 7

i x `x i x `x i x `x i x `x+ 5 + .


73/101



?4 W]DNMGP]C NNN (72p) Yarnaeta 2?4

1. Wm gjesn`mr iueg na ; i , ( ) 7 7 i x x x

8 + .


=p d) W sm gacgucmzm ( ) ( )1 1cnh 1 x i x i x . =p g)W sm `mtmrhnem netmrvacmcm `m hjejtjenm acm iuegnmn i .

4. Wm gjesn`mr iueg na \ X; 2,1 i , ( ) 44 i x x x8 . =p a) W sm gacgucmzm vjcuhuc gjrpucun jdneut prne rjta na e kuruc axmnJx , a oraingucun iueg nmn i .


2

( ) i x `x .

=p g)W sm gacgucmzm2

42

( )

cnh

x

x

i t `t

x .


74/101




1. Wm gjesn`mr iueg na ; i , ( )

4

4

4

7, 1

1 , ue`m4

, 1

4

x x

x i x a x a

x

x

+

+8 +

5

+

.

=p a) W sm `mtmrhnem euhruc rmaca astimc egt iueg na i s inm gjetneu e puegtuc 2 1 x 8 . =p d) W sm `mtmrhnem mguana asnhptjtmn jrnzjetacm g trm ca oraingucun iuegnmn i . =p g) W sm `mtmrhnem euhruc rmaca astimc egt paeta taeometmn ca oraing e puegtuc ( )( )4< 4 i s inm moac gu 1.

4. Wm gjesn`mr iueg na ; i , ( )4 x i x m8 .


2

1 i x `x m8 .


2

x i x `x .


2

1 i x `x m .


75/101




1. Wm gjesn`mr iueg nncm { }, ; 1, 4 i f S , ( ) ( )( )1 4 i x x x8 n ( ) ( )

( )' i x

f x i x

8 .

=p a) W sm aratm g ( ) 1 1

1 4

f x

x x

8 +

.

=p d) W sm `mhjestrmzm g iueg na f mstm `msgrmsgtjarm pm ( )


76/101



?= W]DNMGP]C NNN (72p) Yarnaeta 2?=


, 21

4 1, 2

x i x x

x x

8 +

+ 5

.

=p a) W sm stu`nmzm gjetneuntatma iuegnmn i e puegtuc 2 2 x 8

. =p d) W sm `mhjestrmzm g iueg na i mstm grmsgtjarm pm netmrvacuc( ), 2 .

=p g)W sm `mtmrhnem mguana taeometmn ca orainguc iuegnmn i e puegtuc 11,4

A

.

4. Rmetru inmgarm *e sm gjesn`mr iueg na ;e i , ( )( )4

1

1e e

i x x

8

+

.


1 1m

i x `x 8 .

=p d) W sm `mtmrhnem prnhntnvaO a iueg nmn ; ,o ( ) ( )41o x

i x8 , garm vmrning rmcana ( ) 171 1=O

8 .


2

,e x i x `x ue`m , 4e e .


77/101




1. Wm gjesn`mr iueg na ( ) ( ) 1; 2, , x i i x x

+ 8 .

=p a) W sm vmrningm g ( ) 1

4

x i x

x x

+ 8 , pmetru jrngm ( )2< x + .

=p d) W sm aratm g 422> 4211 4212 4212 . =p g)W sm aratm g iueg na i eu arm asnhptjt gtrm + .

4. Wm gjesn`mr iueg na ( )( )

4 4, 1; ,

1 ce , 1

x x x i i x

x x x

+ 3 8

+ .


=p d) W sm vmrningm g ( )1

2

?

9 i x `x 8 .

=p g)W sm gacgucmzm vjcuhuc gjrpucun jdneut prne rjta na e kuruc axmn Jx , a oraingucun iueg nmn

\ X ( ) ( ); 1< ,1

i xf m f x x

8+

.


78/101



?? W]DNMGP]C NNN (72p) Yarnaeta 2?? 1. Wm gjesn`mr iueg na ( ); 2, i + T , ( ) ( )7 ce i x x x8 .

=p a) W sm gacgucmzm ( ) ( ), 2, i x x + .


( ) (1)cnh

1 x

i x i

x.

=p g)W sm `mhjestrmzm g iueg na i mstm gjevmx pm ( )2, .+

4. Wm gjesn`mr iueg nncm , ;I i T T , ( ) xI x x m8 n ( ) ( )1 x i x x m8 + . =p a)W sm vmrningm g iueg na I mstm j prnhntnv a iueg nmn i .=p d) W sm `mtmrhnem arna supraimmn pcaem guprnesm etrm orainguc iuegnmnI , axa Jx n `rmptmcm `m mguann

2 x 8 n 1 x 8 .

=p g)W sm gacgucmzm ( ) ( )1

2

1 x

I x i x`x

m +.


79/101



?6? W]DNMGP]C NNN (72p) Yarnaeta 2?6 ?6

1. Wm gjesn`mr iueg na ; i T T , ( )4

4 1

x i x

x8

+.


( )4

4

42

1

x i x

x

8

+

pmetru jrngm x T .

=p d) W sm `mtmrhnem mguana asnhptjtmn gtrm + ca orainguc iueg nmn i .=p g)W sm aratm g ( ) ( )7 74226 422> i i .

4. Wm gjesn`mr iueg nncm \ X, ; 2,1 i o T , ( ) 4 x i x 8 n ( ) xo x x m8 .

=p a) W sm `mtmrhnem ( ) i x `x . =p d)W sm `mtmrhnem arna supraimmn pcaem guprnesm etrm orainguc iuegnmno , axa Jx n `rmptmcm `m

mguann 2 x 8 n 1 x 8 .

=p g)W sm gacgucmzm 22

( )

cnh

x

x

i t `t

x.


80/101



?> W]DNMGP]C NNN (72p) Yarnaeta 2?> 1. Wm gjesn`mr iueg na ; i T T , ( ) 4 7 x x i x 8 + .

=p a) W sm gacgucmzm ( ), i x x . =p d)W sm `mtmrhnem asnhptjta sprm a iueg nmn i .

=p g)W sm aratm g iueg na i mstm gjevmx pm . 4. Rmetru inmgarm *e sm gjesn`mr iueg nncm \ X; 2,1e i T , ( ) 1

e

e x

i x x

8+

.

=p a) W sm gacgucmzm ( ) ( )

14

42

1 x i x `x+ .

=p d) W sm `mtmrhnem arna supraimmn pcaem guprnesm etrm orainguc iuegnmn 1 i , axa Jx n `rmptmcm `m mguann2 x 8 n 1 x 8 .


422>

2

ce 4 i x `x .


81/101




1. Wm gjesn`mr iueg na { }; 1 i S T T , ( ) 111

i x x x

8 + + .


4

44

1

x x i x

x

8 pmetru jrngm { }1 x S T .

=p d) W sm `mtmrhnem mguana asnhptjtmn jdcngm gtrm + ca orainguc iueg nmn i . =p g)W sm `mhjestrmzm g ( ) 0 i x , pmetru jrngm ( )1< x + .

4. Rmetru inmgarme sm gjesn`mr iueg nncm ;e i T T , ( )1

x

e ex

m i x

m8

+.

=p a) W sm gacgucmzm ( )2 i x `x , x T . =p d) W sm `mtmrhnem arna supraimmn pcaem guprnesm etrm orainguc iuegnmn 1 i , axa Jx n `rmptmcm `m mguann

2 x 8 n 1 x 8 .

=p g) W sm aratm g ( ) ( )

1 1

12 2 ,e e

i x `x i x `x+

pmetru jrngm e E

.


82/101



61 W]DNMGP]C NNN (72p) Yarnaeta 261 1. Wm gjesn`mr iueg na ( ); 2, i + T , ( ) 74 7 i x x x8 .

=p a) W sm vmrningm g ( )7 4

1 1 i x

x x 8 , pmetru jrngm 2 x 5 .

=p d) W sm `mtmrhnem mguana taeometmn ca orainguc iuegnmn i e puegtuc ( )1< 1 A .=p g)W sm aratm g ( ) 1 i x , pmetru jrngm 2 x 5 .

4. Wm gjesn`mr iueg na ;a i T T , ( ) 1a i x ax8 + , ue`m a T . =p a) W sm `mtmrhnema T astimc egt iueg na ;I T T , ( ) 4 1I x x x8 + + s inm j prnhntnv a iueg nmn a i .


12

xm i x `x .


4

2

1

0a i x `x pmetru jrngm a T .


83/101



64 W]DNMGP]C NNN (72p) Yarnaeta 264 1. Wm gjesn`mr iueg na ( ); 2< i + T , ( ) ( )7 i x x x8 .

=p a) W sm vmrningm g ( ) 7 7 ,4

x i x

x 8 pmetru jrngm 2 x 5 .

=p d) W sm `mtmrhnem mguana taeometmn ca orainguc iuegnmn i e puegtuc ( )1< 4 A . =p g)W sm `mhjestrmzm g 4 7 x

x+ pmetru jrngm 2 x 5 .

4. Rmetru inmgarm *e sm gjesn`mr iueg nncm \ X; 2,1e i T , ( ) e x

e i x m8 .=p a) W sm `mtmrhnem ( )1 i x `x .


12

x i x `x .

=p g) W sm gacgucmzm vjcuhuc gjrpucun jdneut prne rjta na e kuruc axmnJx , a oraingucun iueg nmn\ X; 2,1o T , ( ) ( )

7o x x i x8 .


84/101




1. Wm gjesn`mr iueg na ; i T T , ( ) 174

x x i x

8 .

=p a) W sm gacgucmzm ( ) i x , ue`m x T .


( ) (2)cnh x

i x i x

.

=p g)W sm `mhjestrmzm g iueg na i mstm grmsgtjarm pm T .

4. Wm gjesn`mr iueg na ( ); 2, i + T , ( ) 1 i x x x

8 + .

=p a) W sm `mtmrhnem ( ) i x `x , ue`m 2 x 5 . =p d) W sm gacgucmzm vjcuhuc gjrpucun jd neut prne rjta na e kuruc axmnJx , a oraingucun iueg nmn

\ X; 1, 4 ,o `minent prne ( ) ( )o x i x8 , \ X1, 4 x .


cem

i x x `x .


85/101


86/101



6= W]DNMGP]C NNN (72p) Yarnaeta 26=

1. Wm gjesn`mr iueg na ( ); 2, i + T , ( )4 1 x

i x x

+8 .


41 x

i x x

8 , pmetru jrngm 2 x 5 .

=p d) W sm `mtmrhnem mguana asnhptjtmn jdcngm ca orainguc iuegnmn i . =p g)W sm aratm g iueg na i mstm gjevmx pm (2, )+ .

4. Wm gjesn`mr iueg nncm \ X, ; 2,1 i o T , ( ) x i x m8 n ( ) x xo x m m8 + . =p a) W sm `mtmrhnem ( ) i x `x . =p d) W sm `mtmrhnem arna supraimmn pcaem guprnesm etrm orainguc iuegnmn \ X; 2,1f T , `minent prne

( ) ( )f x x i x8 , axa Jx n `rmptmcm `m mguann 2 x 8 n 1 x 8 .=p g) W sm gacgucmzm vjcuhuc gjrpucun jdneut prne rjta na e kuruc axmnJx , a oraingucun iueg nmno.


87/101


88/101



6? W]DNMGP]C NNN (72p) Yarnaeta 26? 1. Wm gjesn`mr iueg na ( ) ( )4; , 4 1 x i i x x x m 8 + + .

=p a) W sm vmrningm g ( ) ( )( )1 7 x i x x x m 8 + + , jrngarm ar in x . =p d) W sm `mtmrhnem mguana asnhptjtmn gtrm ca orainguc iueg nmn i .=p g)W sm `mhjestrmzm g ( ) ( ) 7

64 0 i i m

+ .

4. Wm gjesn`mr iueg na ( )4 7 4, 1

; ,ce , 1

x x x i i x

x x

+ 8

5 .

=p a) W sm aratm g iueg na i a`hntm prnhntnvm. =p d) W sm `mhjestrmzm g jrngm prnhntnv a iueg nmn i mstm gjevmx pm ( )1


89/101



66 W]DNMGP]C NNN (72p) Yarnaeta 266 1. Wm gjesn`mr iueg na ; i T T , ( ) 7 7 1 i x x x8 + .

=p a) W sm gacgucmzm ( )1 i . =p d) W sm `mtmrhnem netmrvacmcm `m gjevmxntatmn netmrvacmcm `m gjegavntatm acm iuegnmn i .

=p g)W sm aratm g ( ) 7 i x , pmetru jrngm 4 x . 4. Wm gjesn`mr iueg nncm ( ), ; 2< i I + T , ( ) 4

11 i x

x8 n ( ) 1I x x

x8 + .

=p a)W sm vmrningm g iueg na I mstm j prnhntnv a iueg nmn i . =p d) W sm gacgucmzm arna supraimmn pcaem guprnesm etrm orainguc iuegnmn i , axa Jx n `rmptmcm `m mguann

1 x 8 n 4 x 8 .


cem

I x x x .


90/101



6> W]DNMGP]C NNN (72p) Yarnaeta 26> 1. Inm iuegna ; i T T , ( ) 7 44 7 1 i x x x8 + .

=p a) W sm gacgucmzm ( )1 i . =p d) W sm `mtmrhnem netmrvacmcm `m gjegavntatmn netmrvacmcm `m gjevmxntatm acm iuegnmn i .

=p g)W sm aratm g ( ) 2 i x , pmetru jrngm 14

x .

4. Wm gjesn`mr iueg nncm \ X, ; 2,1 i o T , ( ) x i x m8 n ( ) 1 xo x m 8 . =p a) W sm `mtmrhnem hucnhma prnhntnvmcjr iuegnmn i . =p d) W sm `mtmrhnem arna supraimmn pcaem guprnesm etrm orainguc iuegnmn \ X; 2,1f T , ( ) ( )f x x i x8 ,

axa Jx n `rmptmcm `m mguann 2 x 8 n 1 x 8 .

=p g)W sm aratm g ( ) ( )( )

14

2

2o x i x `x .


91/101



>2 W]DNMGP]C NNN (72p) Yarnaeta 2>2 1. Wm gjesn`mr iueg na ( ); 2, i + T , ( ) 4 ce i x x x8 .

=p a) W sm vmrningm g ( ) 1 x i x x




92/101



>1 W]DNMGP]C NNN (72p) Yarnaeta 2>1 1. Wm gjesn`mr iueg na ( ); 2, i + T , ( ) 4 ce i x x x x8 .

=p a) W sm gacgucmzm ( ) ( ), 2, i x x + . =p d) W sm aratm g iueg na i mstm gjevmx pm ( )2, + . =p g) W sm aratm g ( ) 2, i x jrngarm ar in 2 x 5 .

4. Rmetru inmgarm *e sm gjesn`mr iueg nncm \ X; 2, 4e i T , ( ) ( )4 e

e i x x8 . =p a) W sm `mtmrhnem ( )1 i x `x , ue`m \ X2, 4 x .

=p d) W sm gacgucmzm arna supraimmn pcaem guprnesm etrm orainguc iuegnmn \ X; 2, 4 ,o ( ) ( )1 xo x i x m8 ,axa Jx n `rmptmcm `m mguann 2 x 8 n 4 x 8 .

=p g)W sm gacgucmzm vjcuhuc gjrpucun jdneut prne rjta na e kuruc axmnJx , a oraingucun iueg nmn = i .


93/101



>4 W]DNMGP]C NNN (72p) Yarnaeta 2>4

1. Wm gjesn`mr iueg na ( ); 2, i + T , ( ) xm

i x x

8 .

=p a) W sm vmrningm g ( ) ( )4

1,

xm x i x

x

8 pmetru jrngm 2 x 5 .

=p d) W sm `mtmrhnem asnhptjta vmrtngac ca orainguc iueg nmn i . =p g)W sm `mhjestrmzm g , xm mx pmetru jrngm 2 x 5 .

4. Inm iuegna \ X; 1, 4 i T , ( ) 4 i x x x

8 + .

=p a) W sm `mtmrhnem hucnhma prnhntnvmcjr iuegnmn i . =p d) W sm gacgucmzm vjcuhuc gjrpucun jd neut prne rjta na e kuruc axmnJx , a oraingucun iueg nmn i .


1

ce i x x `x .


94/101


95/101



>0 W]DNMGP]C NNN (72p) Yarnaeta 2>0 1. Wm gjesn`mr iueg na ; i T T , ( ) x i x x m8 .

=p a) W sm vmrningm g ( ) ( )1 , x i x x m 8 + pmetru jrngm x T . =p d) W sm `mtmrhnem netmrvacmcm `m gjevmxntatmn netmrvacmcm `m gjegavntatm acm iuegnmn i . =p g)W sm `mtmrhnem mguana asnhptjtmn jrnzjetacm g trm ca orainguc iueg nmn i .

4. Rmetru inmgarm *e sm gjesn`mr iueg nncm \ X; 2,1e i T , ( )4

1

e

e x x

i x x

+ +8

+.

=p a) W sm `mtmrhnem ( )1 x i x `x .


42

i x `x .

=p g)W sm aratm g arna supraimmn pcaem, guprnesm etrm orainguc iuegnmn 4226 i n axa Jx n `rmptmcm2 x 8 n 1 x 8 , mstm han hng sau moac gu 4.


96/101



>= W]DNMGP]C NNN (72p) Yarnaeta 2>=

1. Wm gjesn`mr iueg na ( ); 1, i + T , ( )4

1 x

i x x

8 .


4

44

,

1

x x i x

x


=p d) W sm `mtmrhnem mguana asnhptjtmn jdcngm gtrm + ca orainguc iueg nmn i . =p g)W sm aratm g ( ) ( )7 74 7 i i .

4. Wm gjesn`mr iueg nncm \ X, ; 2,1 i o T , ( ) 1 i x x8 n ( ) 1o x x8 . =p a) W sm `mtmrhnem ( ) i x `x . =p d)W sm gacgucmzm arna supraimmn pcaem guprnesm etrm orainguc iuegnmno , axa Jx n `rmptmcm `m mguann

2 x 8 n 1 x 8 .


1

ce

m

i x x `x .


97/101




1. Wm gjesn`mr iueg na ( ); 2, , i + ( ) ce x i x x

8 .

=p a)W sm vmrningm g ( ) 41 ce

, x

i x x


=p d) W sm `mtmrhnem mguana asnhptjtmn jrnzjetacm g trm + ca orainguc iueg nmn i . =p g)W sm aratm g ( ) ( )4226 422> i i .

4. Wm gjesn`mr iueg na \ X; 2,1 , i ( ) i x x8 . =p a) W sm `mtmrhnem ( ) i x `x .

=p d) W sm `mtmrhnem arna supraimmn pcaem guprnesm etrm orainguc iuegnmn \ X; 2,1 ,o ( ) ( )4

4 1

i xo x

x8

+,

axa Jx n `rmptmcm `m mguann 2 x 8 n 1 x 8 .=p g)W sm gacgucmzm vjcuhuc gjrpucun jdneut prne rjta na e kuruc axmnJx , a oraingucun iueg nmn

\ X; 2,1 ,f ( ) ( )4 x

f x m i x8 , ue`m \ X2,1 x .


98/101

Hnenstmruc M`uganmn, Gmrgmtrnnn PnemrmtucunGmetruc Eanjeac pmetru Gurrngucuhn Mvacuarm e evhetuc Rrmuenvmrsntar


>? W]DNMGP]C NNN (72p) Yarnaeta 2>?

1. Wm gjesn`mr iueg na ; i T T , ( )4

41

1

x x i x

x x

+8

+ +.


( )

4

44

4 4

1

x i x

x x

8

+ +

pmetru jrngm x T .

=p d) W sm `mtmrhnem mguana asnhptjtmn jrnzjetacm g trm + ca orainguc iueg nmn i . =p g)W sm aratm g ( ) ( )7 7422> 4212 i i .

4. Inm iuegna \ X; 1, , i m ( ) ce i x x8 . =p a) W sm `mtmrhnem ( ) i x `x . =p d)W sm gacgucmzm arna supraimmn pcaem guprnesm etrm orainguc iuegnmn i , axa Jx n `rmptmcm `m mguann

1 x 8 n x m8 .


m x mm i x `x m m .


99/101




1. Wm gjesn`mr iueg na ( ); 1, i + T , ( )1

xm i x

x8 .

=p a) W sm vmrningm g ( ) ( )

( )4

4

1

xm x i x

x


=p d) W sm `mtmrhnem mguana taeometmn ca orainguc iuegnmn i e puegtuc ( )44< A m . =p g)W sm `mhjestrmzm g ( ) 4 i x m , pmetru jrngm 1 x 5 .

4. Rmetru inmgarm *e sm gjesn`mr iueg nncm \ X; 1, 0 ,e i ( ) 0ee i x x x8 + .


11

10 = .

7 i x `x 8

=p d) W sm gacgucmzm

( )

0

4

41

4.

x`x

i x

+

=p g)W sm `mtmrhnem vjcuhuc gjrpucun jd neut prne rjta na e kuruc axmnJx , a oraingucun iueg nmn

\ X; 1, 0 ,o ( )( )41

o x i x

8 .


100/101



>> W]DNMGP]C NNN (72p) Yarnaeta 2>> 1. Wm gjesn`mr iueg na ( ); 2, i + T , ( ) 74 7 i x x x8 + .

=p a)W sm vmrningm g ( )7 4

11 i x

x 8 , pmetru jrngm 2 x 5 .



101/101



1. Wm gjesn`mr iueg na ( ); 2, i + T , ( )4 1 x

i x x

+8 .


41 x

i x x


=p d) W sm `mtmrhnem mguana asnhptjtmn jdcngm gtrm + ca orainguc iueg nmn i . =p g)W sm aratm g iueg na i mstm gjevmx pm ( )2, + .

4. Rmetru inmgarm e sm gjesn`mr iueg nncm \ X; 2,1e i T , ( ) ( )1 1e xe i x x m+8 + . =p a) W sm `mtmrhnem ( )2 m x i x `x . =p d) W sm `mtmrhnem arna supraimmn pcaem guprnesm etrm orainguc iuegnmn 1 i , axa Jx n `rmptmcm `m

mguann 2 x 8 n 1 x 8 .

=p g) W sm aratm g ( ) ( ) ( )1 1 1

4226 4212 422>

2 2 2

4 i x `x i x `x i x `x+ .

Matematica M2 - Subiectul III cu 100 de variante din 2009

Documents

Transcript of Matematica M2 - Subiectul III cu 100 de variante din 2009