Genel Matematik 2 - Tunceli Üniversitesi İnan Ünal Final Vize Ve Bütünleme Soruları

8/10/2019 Genel Matematik 2 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

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r.Cr.fhf fhj www.kfhfufhj.mbe

8

QTFMDJ F^DY]QD]

ELDFA]J@ NH@JQD]

CDFDJ EHQDEHQ@-9 ADY]

9?8?-9?8= IHLHY AFDEJDY HYH]KFH^ NFHJ ^D IQFJDED ]BYTJHYK

r.Cr.fhf FHJ

www.kfhfufhj.mbe


2/35


9

8. skfxd x ax kftdcrhjkfk ldshpjhyfz.

9. Hfhjktk` azjdead0x-d`sdfk,x+y59abrusu vd y x drksk hrhsfah `hjhf sfrj ijcdx-d`sdfk

dtrhnfah afarjybr. Bjuhf afdj mksekf lhmekfk ldshpjhyfz.

=.

8

9

88

ax

x kftdcrhjkfkf yh`fsh`j` aurueufu kfmdjdykfkz.

1. 9 9 9( , , ) (1 ). xyzn x y z x y z d nbf`skybfufuf ikrkfmk edrtdidadf sek trdvjdrkfk iujufuz.

4. 9 9 9jf( )s x y z , , , 9x u v y u v z uv bjauufah crds

u

trdvkfk ldshpjhyfz.

>. ( , , ) 9 4n x y z x y z nbf`skybfu 9 9 9 =?x y z `rdsk zdrkfad thfejhfybr. Iu nbf`skybfuf df

iy` vd df `` addrjdrkfk iujufuz.

3. 9( , ) 7 ? =, 9 8I x y x x y x ijcdskfk azjdead kzdrd` iu ijcd zdrkfad

9

9

( 8)I

yaH

x

kftdcrhjkfk ldshpjhyfz.


3/35


=

8.

= 3

4 9

9? 8

1= 1

xax

x xx


9.

=.

1.9 9

( , ) jbc(8 )n x y xy x y nbf`skybfufuf thfe `edskfk iujufuz vd hfhjktk` azjdead cstdrkfkz.

QTFMDJ F^DY]QD]

ELDFA]J@ NH@JQD] DJD@QY@-DJD@QYBF@ ELDFA]J IJE

EHQDEHQ@-9 ADY] NFHJ ]KFH^K

?>.?>.9?8=

[hfah vdrkjdf8

( , ) 7 8 ?I x y x vd yx

vd ijcdskfkf

Bx-d`sdfkdtrhnfah afarjedsk sbfumu bjuhf afdj

mksekf lhmekfkf sbfju bjauufu cstdrkfkz.

Adf`jdek8

( ), ? 89

x xy d d x bjhf drk phrhsff Bx-d`sdfk

dtrhnfah afarjedsk sbfumu bjuhf d`kjad`k ckik ikr afdj

mksekf yzdy hjhff ldshpjhyfz.


4/35


1

4. = = =jf( = )u x y z xyz nbf`skybfu kkf x y zu u u knhadskfk ldshpjhyfz.

>.Lhmek 8??? e=bjhf ak`artcdfjdr prkzehs d`jkfad`k `hphj ikr `utufuf yzdy hjhf df hz `h e9

bjhikjkr ldshpjhyfz.

3. 9( , ) 7 ? =, 9 8I x y x x y x ijcdskfk azjdead kzdrd` iu ijcd zdrkfad

9

9

( 8)I

yaH

x



5/35


4

]BYTJHY

8.Hhah`k kftdcrhjjdrk ldshpjhyfz2 (9?p)

h)

1 = 9

= 9

9 > 3 9 9

= = 8

x x x xax

x x x

i)

jf 9

jf1

x ax

x x

9.

9 skf mbs

a

kftdcrhjkfk ldshpjhyfz. (84 p)

=.

=

?

8898

84x xax bjauufu cstdrkfkz. (8? p)

1.

4.

>.

9 9

( 8) 8x y deidrkfkf 8y abrusu dtrhnfah afarjedskyjd bjuhf yzdykf (tbrus) hjhffldshpjhyfz.(9?p)

3.=(jf )

d

ax

x x

kftdcrhjkfkf yh`fsh`j` aurueufu kfmdjdykfkz, yh`fsh` ksd addrkfk ldshpjhyfz. (84p)

]fhv srdsk 3? ah`k`har.

r.Cr.fhf FHJ

Ihhrjhr.

QTFMDJ F^DY]QD]


EHQDEHQ@-9 ADY] EHWDYDQ ]KFH^K

81.?4.9?8=

FTEHYH]K7 HAK-]B[HAK7

d`kjad`k 9y x phrhibj kjdy58 abrusu hrhsfah `hjhf ijcdfkf

hjhf _ vd HBI cdfkfkf hjhf Xksd _/Xyu ldshpjhyfz.(8?p)

d`kjad vdrkjdf afdj mksekf lhmekfk ldshpjhyfz. (8?p)


6/35


>

]BYTJHY

8.Hhah`k kftdcrhjjdrk ldshpjhyfz2 (9?p)

h)9

3 9

ax

x x i)

3 4skf mbsx xax

9.9 4 1

t

t t

d at

d d kftdcrhjkfk ldshpjhyfz. (84 p)

=.9

8

8jf

1

d dx xax bjauufu cstdrkfkz. (84 p)

1. Qhihf yhrhp =, y`sd`jkk 89 ikrke bjhf ikr ahkrdsdjak` `bfk tdpdskfadf y ikrke uzh`th, thihffh phrhjdj ikr

azjdejd `dskjkybr. Djad dakjdf ahkrdsdj `dsktkf hjhfff brthjheh addrkfk ldshpjhyfz2 (84 p)

4.

>.mbs

skf

x h t

y h t

?

9t

drksk vdrkjkybr.

h)Drkfkf uzufjuufu kftdcrhj yhrae kjd ldshpjhyfz.

i) Iu drk phrhsff by-d`sdfkkjd sfrjha ijcd bx-d`sdfkdtrhnfah afarjafad bjuhf mksekf

yzdy hjhff kftdcrhj yhrae kjd ldshpjhyfz. (9?p)

3. (Ibfus)

9 9y h x yhr deidrk ikkekfad`k ikr lbebgdf tdjkf bx-d`sdfkfdcrd ebedftkfk ldshpjhyfz2 (84p)

]fhv srdsk 3? ah`k`har.

r.Cr.fhf FHJ

Ihhrjhr.

[hfah vdrkjdf thrhj hjhf ldshpjhyfz (84p).

QTFMDJ F^DY]QD]


EHQDEHQ@-9 ADY] HYH]KFH^K

9?.?1.9?8=


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3

DDE EHQDEHQ@-9 ADY] HYH]KFH^ ]BYTJHYKFKF WEJDY


8/35



9/35


;


10/35


8?


11/35


88

QTFMDJ F^DY]QD]

ELDFA]J@ NH@JQD] EH@FD D GDBJBG ELDFA]J IJEJDY

EHQDEHQ@-9 ADY] IQFJDED ]KFH^K

94.?>.9?89FTEHYH]K7 HAK-]B[HAK7

]BYTJHY

8.

9.

=.

mbs

8 skf

x t t

y t

t

drkskfkf uzufjuufu ldshpjhyfz2

1. 9 8y x , ? =x drksk kjd sfrjhfhf ijcdfkf bx -d`sdfk dtrhnfah afarjedsk sbfumu bjuhf

afdj mksekf yzdy hjhff ldshpjhyfz2

4. Hhah`k kftdcrhjjdrk ldshpjhyfz2

h) 9skf

mbs mbs 9

a

i)=

9 1

x ax

x m) 9( 8) xx d ax

d`kjad`k thrhj hjhf ldshpjhyfz2

d`kjad vdrkjdf afdj mksekf lhmekfk

iujufuz2


12/35


89

>.9

? 8

ax

x

cdfdjjdtkrkjek kftdcrhjkfk ldshpjhyfz2

3.Hhah`k drkjdrkf hrtdzydf bbrakfhtjhrah`k adf`jdejdrkfk yhzfz.

h) 9 mbs skfr i) skf( ) 9>r

Fbt7

]fhv srdsk


13/35


8=

QTFMDJ F^DY]QD]


EHQDEHQ@-9 ADY] NFHJ]KFH^K

?1.?>.9?89

]BYTJHY

8.

9.

=. jf(sdm ),?1

y x x

drkskfkf uzufjuufu ldshpjhyfz2

1. =mbsl( )1

xy , jf8> jf


14/35


81

>.

=

9 91

xax

x

cdfdjjdtkrkjek kftdcrhjkfk ldshpjhyfz2

3. 1 (skf mbs ), ? 9ty d t t t nbf`skybfufuf brthjheh addrkfkldshpjhyfz2


15/35


84

8. 9. =. 1. 4. >. QB_JHE

QTFMDJ F^DY]QD]


EHQDEHQ@-9 ADY] EHWDYDQ]KFH^K

?8.?>.9?89

]BYTJHY

8.

9. ( ) xn x xd nbf`skybfuf ?,8 hrhjfah`k brthjheh addrkfk iujufuz2(8?)

=.

1. 9 8, ? 9y x x drkskfkf uzufjuufu ldshpjhyfz2(8?)

4.skfx

y x nbf`skybfufuf trdvkfk jbchrktek` trdv hjhrh` iujufuz2(8?)

>. Hhah`k kftdcrhjjdrk ldshpjhyfz2(4?p)

h)9

9?

9 =

= =

xax

x x

i)

9

?

skft tat

m)9

9

= 9

xax

x x

a)sdm

jf(sdm thf )

xax

x

d`kjad thrhj bjhf hjhf ldshpjhyfz.(8?)

d`kjad vdrkjdf afdj mksekf lhmekfk ldshpjhyfz.(8?)

d)

1=

?


16/35


8>

8. 9. =. 1. 4. >. I8 I9 I= QB_JHE

QTFMDJ F^DY]QD]


EHQDEHQ@-9 ADY] HYH]KFH^K

98.?1.9?89

]BYTJHY

8. 9/=( ) 4 4 , 8 . Hhah`k kftdcrhjjdrk ldshpjhyfz2

h)9

99 =

mbs(hrmmbs )

8

xax

x x i)

1

9

8

1

(8 jf )

dat

t t

m)

9

mbs

?

3 skft tat

a) sdmjf(sdm thf )xax x


17/35


83

Hhah`k prbijdejdrk zafz thàkrad ibfus `hzhfhmh`sfz!

8.

9. Ikr yhyf abhj uzufjuu 8 e akr. 91 Fju` ikr ùvvdt yhy 8.< e cdred`tdakr. [hy abhj uzufjuufahf

9 e heh` kkf fd `hahr k cdrd`kr ldshpjhyfz2(8?)

=. Qhihf >e vd y`sd`jkk = e bjhf ikr k`kz`dfhr ak` cdf pjh`hak`dy vd thihf yu`hrah bjhmh` d`kjad ikr

yzed lhvuzufuf yzdykfkf 9e hjtfh ydrjdtkrkjkybr.

_jh`hff ikr thrhnfh suyuf uycujha ùvvdtk iujufuz2(8?)

Fbt7

]fhv srdsk 34 ah`k`har.

j` 84 ah`k`h èh` yhsh`tr.

]bru `ha skzad `hjhikjkr.

IHHYKJHY

r.Cr.fhf FHJ

d`kjad vdrkjdf 8? e uzufjuufah`k uiu` sbjahf shh abru

ybufjuu shikt bjeh` ydrkfd ( ) 88?

xx `c/e bjhmh` d`kjad

`hjfjheh`thar. uiuuf tjd edr`dzkfk iujufuz. (8?)


18/35


8.

9 9( , ) 4n x y x y xy nbf`skybfufuf k`kfmk edrtdidadf `sek trdvjdrkfk iujufuz.2 84p)

3.9 9z x y , ,x u v y u v dktjk`jdrk kjd vdrkjdf nbf`skybfjhr kkf z

u

vd

z

v

trdvjdrkfk ldshpjhyfz2

84p)

8. 9. =. 1. 4. >. 3. QB_JHE8=.?3.9?88

]fhv srdsk >? ah`k`har.

I YKJ Y

r. Cr. fhf F J

Q.M

QTFMDJ F^DY]QD] ELDFA]J@ NH@JQD]GDBJBG ELDFA]JIJE

EHQDEHQ@-9 ADY] IQFJDED ]KFH^K


19/35


8;

]BYTJHY

8.Hhah`k kftdcrhjjdrk ldshpjhyfz2 9?p)

h) 9=8mbs = 9 = 4

=

xl x x ax

i) 9 = 8?x x

9. 0?

9

y skfx x

drk phrhsff hjtfah `hjhf hjhf ldshpjhyfz2 8?p)

=. 0? 9x y y drksk bx d sdfk dtrhnfah afarjybr. Iufhcrd edyahfh cdjdf,h) afdj mksekf lhmekfki) afdj yzdykf hjhff

iujufuz2 9?p)

1.=

9y x drkskfkf ?x vd 4x hpsksjk fb`thjhr hrhsfah`k phrhsff uzufjuufu iujufuz2 8?p)

4.9 9 9

( , ) 1n x y x y xy nbf`skybfufuf thfe edskfk iujup hfhjktk` azjdead cstdrkfkz2 8?p)

>. mbsx

z d y nbf`skybfufuf ?xx yy

z z adf`jdekfk shjhaf cstdrkfkz2 84p)3.Qhihf yhrhp r5=me,y`sd`jkk l58? me bjhf ikr ahkrdsdj `bfkfkf yhrhp ?,?8me hrtrjr, y`sd`jkk ?,8me hzhjtjrsh lhmek fd `hahr adkkr2 84p)

8. 9. =. 1. 4. >. 3. QB_JHE

89.?3.9?88

]fhv srdsk>? ah`k`har.

I YKJ Y

r. Cr. fhf F J

Q.M

QTFMDJ F^DY]QD] ELDFA]J@ NH@JQD]FHHQ ^D EH@FD ELDFA]J IJEJDY

EHQDEHQ@-9 ADY] IQFJDED]KFH^K


20/35


21/35


98

]BYTJHY


h) 99 skfsdm 4 mbs = 4xx d x x ax i) 99

9?ax

x x

9.9jf 0y x d x d drk phrhsff hjtfah `hjhf hjhf ldshpjhyfz2 8?p)

=. 0? 9x y y drksk bx d sdfk dtrhnfah afarjybr. Iufhcrd edyahfh cdjdf,h) afdj mksekf lhmekfki) afdj yzdykf hjhff

iujufuz2 9?p)

1. mbsx h t vd y hskft , ?9

t

drkphrhsff uzufjuufu iujufuz2 8?p)

4.9 9 9 =4( , ) 1n x y x y x y nbf`skybfufuf thfe edskfk iujup hfhjktk` azjdead cstdrkfkz2 8?p)

>. z xy , mbsux d v , skfuy d vnbf`skybfjhr kkf z

u

vd

z

v

trdvjdrkfk ldshpjhyfz. 84p)

3.Qhihf yhrhp r5=me,y`sd`jkk l58? me bjhf ikr ahkrdsdj skjkfakrkf yhrhp ?,?8me hrtrjr, y`sd`jkk ?,8me hzhjtjrsh lhmek fd `hahr adkkr2 84p)

8. 9. =. 1. 4. >. 3. QB_JHE

89.?3.9?88


I YKJ Y

r. Cr. fhf F J

Q.M

QTFMDJ F^DY]QD] ELDFA]J@ NH@JQD]CKAH ELDFA]J IJE



22/35


99

]BYTJHY


h) 9

9

8mbs = = 4

8l x x ax

x

i) 9

9 =

= 8?

xax

x x

9. mbs 0

9

y x x

drk phrhsff hjtfah `hjhf hjhf ldshpjhyfz2 8?p)

=. 0? 9y x x drksk bx d sdfk dtrhnfah afarjybr. Iufhcrd edyahfh cdjdf,h) afdj mksekf lhmekfki) afdj yzdykf hjhff

iujufuz2 9?p)

1. jf skfy x drkskfkf=

x

vd9

=

x

hpsksjk fb`thjhr hrhsfah`k phrhsff uzufjuufuiujufuz2 8?p)

4.9 9 4 . 9 9 9, , 9n x y z x y z nbf`skybfufuf ?xx yy zzn n n adf`jdekfk shjhaf cstdrkfkz2 84p)

3. 9 9

9, ;;; 1, ??8 knhadskfkf yh`jh` addrkfk ldshpjhyfz2 84p)

8. 9. =. 1. 4. >. 3. QB_JHE

89.?3.9?88


I YKJ Y

r. Cr. fhf F J

Q.M

QTFMDJ F^DY]QD] ELDFA]J@ NH@JQD]CKAH ELDFA]J IJE



23/35


9=

]BYTJHY


h)

= 3

4 9

9? 8

1= 1

xax

x xx

i) hrmskfx xax

9. = 9 9

?

; 8x x ax kftdcrhjkfk ldshpjhyfz2 8?p)

=.=8 8 , ? 8

9 >y x x

x drksk bx d sdfk dtrhnfah afarjybr. Iufhcrd edyahfh cdjdf,

h) afdj mksekf lhmekfki) afdj yzdykf hjhff

iujufuz2 9?p)

1.

4.9 9( , ) jf(1 )n x y x y nbf`skybfufuf thfe edskfk iujup hfhjktk` azjdead cstdrkfkz2 8?p)

>. 9 9z x y nbf`skybfufuf x yxz yz z adf`jdekfk shjhaf cstdrkfkz2 84p)

3.9 9z x y , ,x u v y u v dktjk`jdrk kjd vdrkjdf nbf`skybfjhr kkf z

u

vd

z

v

trdvjdrkfk ldshpjhyfz2

84p)

8. 9. =. 1. 4. >. 3. QB_JHE9.9?88

]fhv srdsk;? ah`k`har.

I YKJ Y

r. Cr. E. Qufmhy CDFBJT

r. Cr. fhf F J

9 9 9= = =x y h hstrbka drkskfkf dvrd uzufjuufu

ldshpjhyfz2 8?p)

Q.M

QTFMDJ F^DY]QD] ELDFA]J@ NH@JQD]D^YD-CKAH-FHHQ- @E[H - GDBJBG ^D EH@FD ELDFA]J IJEJDY

EHQDEHQ@-9 ADY] AFDE]BFT ]KFH^K


24/35


91

D^YD-CKAH-FHHQ- @E[H - GDBJBG ^DEH@FDELDFA]J IJEJDYIYFM YDQE EHQDEHQ@-9 ]KFH^K WEJDY

9.9?88

9? _THF

8? _THF


25/35


94

9? _THF

8? _THF


26/35


9>

8? _THF

84 _THF

84 _THF


27/35


93

]BYTJHY

8.Hhah`k kftdcrhjjdrk ldshpjhyfz. 9?p)

h)4 skf

8 8 mbs

da

d

i)

9jf( 8)x x ax

9. 1

9

?

8> =x x ax kftdcrhjkfk ldshpjhyfz. 8?p)

=. , ? 9y x x drk phrhs bx d sdfk dtrhnfah afarjybr. Iufh crd edyahfh cdjdf,h) afdj mksekf lhmekfki) afdj yzdykf hjhff

iujufuz2 9?p)

1._hrhedtrk` adf`jdek

9( skf ), ? 1

9(8 mbs )

x t tt

y t

bjhf d`kjad`k ckik ikr sk`jbkakf ikr yhyff uzufjuufu iujufuz2 8?p)

4.9 9( , ) ;n x y x y nbf`skybfufuf thfe edskfk iujup hfhjktk` azjdead cstdrkfkz. 8?p)

>.9 9z x y nbf`skybfufuf Jhpjhmd Adf`jdek adfkjdf ?

xx yyz z adf`jdekfk shjhaf cstdrkfkz2 84p)

3. , mbs , skfxyz d x u v y u v dktjk`jdrk kjd vdrkjdf nbf`skybfjhr kkf z

u

vd

z

v

trdvjdrkfk ldshpjhyfz.

84p)

8. 9. =. 1. 4. >. 3. QB_JHE9.9?88

]fhv srdsk;? ah`k`har.

I YKJ Y

r. Cr. E. Qufmhy CDFBJT

r. Cr. fhf F J

Q.M

QTFMDJ F^DY]QD] ELDFA]J@ NH@JQD]D^YD-CKAH-FHHQ- @E[H - GDBJBG ^D EH@FD ELDFA]J IJEJDY

EHQDEHQ@-9 ADY] AFDE]BFT ]KFH^Kk`kfmk

1


28/35


9.9?88

8

.Hhah`k kftdcrhjjdrk ldshpjhyfz2(=?_)h)

9

skf

mbs skf 9

a

i)

9 1skf .mbs

ax

x x m)

9( 8) 9 9

ax

x x x

9. 7 ?,8n Y nbf`skybfu srd`jk bjsuf.

? ?

(skf ) (skf )9

xn x ax n x ax

akr. Iufahf nhyahjhfhrh`

9

9?

skf

>= skf

x xax

x

bjauufu cstdrkfkz.(84_)=.

Ikr nkrehfftcfad djkfad lhfck rf vhrsh b rff shys ( )K t kjd cstdrkjkr. K yh dfvhftdrnbf`skybfu adfed`tdakr.

Ikr tbpthfm nkrehs bjhf ]kceh H. ldr =? cfad ikr 89?? ph`dt k`bjhth sdv`kyht tdsjkehjeh`thar. Nkrehk`bjhthjhr hjmjhrh azdfjk ikr d`kjad ahteh`th vd ikr sdv`kyht cdjak`tdf t cfsbfrh djkfad`k ph`dtjdrkf dfvhftdrk ( ) 89?? 1?K t t , ? =?t

kjd vdrkjed`tdakr. Iufh crd,

h)

]kceh H.fkf =? cfj` srdad brthjheh cfj` dfvhftdrkfki)Ikr ph`dtk 8 cf tutehff ehsrhn = QJ ksd cfj` brthjheh tuteh ehsrhnf

iujufuz.(8?_)

1. 9 9 9( )x h y r deidrkfkf By d sdfk dtrhnfah afarjedskyjd djad dakjdf mksekf lhmekfkiujufuz2(8?_)

4. mbs , skfx h t y i t adf`jdek kjd vdrkjdf djkpskf hjhff iujufuz2(8?_)>. 9 9( , ) ; jf( 9)n x y x y x nbf`skybfufuf thfe `edskfk iujup hfhjktk` azjdeadcstdrkfkz2(8?_)3.

= =( , ) skfn x y x y y nbf`skybfu vdrkjkybr.(84_)

h)@sek trdvjdrkfk iujufuz.i) _(8,?) fb`thsfah`k jkfddrjdtkrkjekkfk iujufuz.m)Qhe akndrhfskydjkfk iujufuz.

QTFMDJ F^DY]QD]ELDFA]J@N @JQD]

CKAH-F Q-E @FD D GDBJBG ELDFA]J IJE E QDE Q@-9 ADY] EHWDYDQ ]KFH^K

IHHYKJHYr.Cr.fhf FHJ


32/35


=9

ELDFA]J@ N @JQD]

GDBJBG ELDFA]J IJE E QDE Q@-9 ADY] Y ]KF ^K

]BYTJHY

?1.?4.9?88

8. Idjkrskz kftdcrhj vd idjkrjk kftdcrhj `hvrhejhrf h`jhyfz. ftdcrhj ldshif tdedj tdbrdekfk knhaddakfkz, iu tdbrde ikzd fd nhyah shjhr2 H`jhyfz.(8?p)

9. Hhah`k kftdcrhjjdrk ldshpjhyfz2(=?p)h) i) skf mbs m) (8)

=. 5()() dktjkkfk shjhyhf h vd i shyjhrf iujufuz.Iufahfyhrhrjhfhrh`,

5 kftdcrhjkfk ldshpjhyfz2(8?p)

1. ftdcrhjjdrkf trdvk fd hfjheh cdjed`tdakr2H`jhyfz.Jdkifktz nbrejf knhad dakfkz vd iufahfnhyahjhfhrh` ()5 nbf`skybfufuf trdvkfk iujufuz2(8?p)

4. Hhah`k kftdcrhjjdrk ldshpjhyfz2(9?p)

) ()

)

>.

3. 5 deidrkfkf st yhrsff dtrhnfah afarjedsk sbfumu bjuhf mksekf lhmekfkiujufuz2(8?p)

]fhv @urhjjhr7

]bru `haf esvdaad hehj `ujjhfhikjkr vd sfhv sbfufah hjhikjkrskfkz.

]fhv srdsk 8?? ah`k`har.

IHHYKJHY

r.Cr.fhf FHJ

HAK-]B[HAK7 FB7 EWH7

[hfah k d kjad vdrkjdf 5 9abrusu vd 5 9 phrhibj hrhsfah `hjhf ijcdfkf hjhffldshpjhyfz.(8?p)


33/35


==

ELDFA]J@ N @JQD]

F Q vd E @FD ELDFA]J IJE E QDE Q@-9 ADY] Y ]KF ^K

]BYTJHY

=?.?1.9?88

8. Idjkrskz kftdcrhj vd idjkrjk kftdcrhj `hvrhejhrf h`jhyfz. ftdcrhj ldshif tdedj tdbrdekfkknhad dakfkz, iu tdbrde ikzd fd nhyah shjhr2 H`jhyfz.(8?p)9. Hhah`k kftdcrhjjdrk ldshpjhyfz2(=?p)

h) i)

m)

()

=. 5afe yhphrh`

()kftdcrhjkfk ldshpjhyfz2(8?p)1.Ikr `dfttd brthjheh cfj` smh`j` adrdmdsk 8 Qdeeuzahf sbfrh`k t hyjhrfah yh`jh` bjhrh` ,

5 > 8 8 5()d`jkfad adked`tdakr.Iufh crd 8 Dyjj vd 8 Hrhj` hyjhr hrhsfah adkdf brthjheh smh`jiujufuz.(8?p)

>. 5 adk`df adktkredsk yhphrh`

5

bjauufu cstdrkfkz2(84p)3. 5 , 5 drkskfkf sfrjha hphj ijcdfkf st yhrs dtrhnfahafarjafad edyahfh cdjdf afdj mksekf lhmekfk iujufuz2 Drkfkf crhnkkfk vd bjuhmh` mksekf d`jkfkkzkfkz2(84p)

]fhv @urhjjhr7

]bru haf esvdaad hehj ujjhfhikjkr vd sfhv sbfufah hjhikjkrskfkz.

]fhv srdsk 8?? ah`k`har.IHHYKJHY

r.Cr.fhf FHJ


4. [hfah`k d`kjad 5 phrhibj vd 5 8abrusu kjd sfrjphrhibjk` akjke vdrkjektkr. E.. fm yzyjah yhhyhfHrkeda d`kjad cstdrkjdf thihf uzufjuu vd tdpd fb`thsbjhfcdfkfkf hjhfff ff phrhibjk` akjkekfhjhffh dkt bjauufu ksphtjhetr. Iu cdrdk kftdcrhjadfnhyahjhfhrh` abrujhyfz2(8?p)


34/35


=1

ELDFA]J@ N @JQD]

CKA ELDFA]J IJE E QDE Q@-9 ADY] Y ]KF ^K

]BYTJHY

=?.?1.9?88

8. Idjkrskz kftdcrhj vd idjkrjk kftdcrhj `hvrhejhrf h`jhyfz. ftdcrhj ldshif tdedj tdbrdekfk knhaddakfkz, iu tdbrde ikzd fd nhyah shjhr2 H`jhyfz.(8?p)9. Hhah`k kftdcrhjjdrk ldshpjhyfz2(=?p)

h) i)

m)

() =. , bjeh` zdrd mbs skf 5 afe yhraeyjh

kftdcrhjkfk ldshpjhyfz2(8?p)

1. nbf`skybfu , hrhjfah kftdcrhjjdfdikjdf ikr nbf`skybf bjsuf. 5 ( )nbf`skybfufuf , hrhjfah`k brthjheh addrkfk knhad dakfkz.Iuknhadfkf cdbedtrk` hfjhef h`jhyfz.() 5 nbf`skybfufuf , hrhjfah`k brthjheh addrkfk iujufuz2(8?p

4. 5

adk`df adktkredsk yhphrh`

5

bjauufu cstdrkfkz2(9?p)

>.

5 8 djkpsk thrhnfahf sfrjhfhf ijcdfkf hjhff ldshpjhyfz2(8?p)

3.

5 89 = >

[hfah`k thrj ijcdfkf dtrhnfahafarjedskyjd bjuhf afdj mksekf lhmekfkiujufuz2(8?p)

]fhv @urhjjhr7

]bru haf esvdaad hehj ujjhfhikjkr vd sfhv sbfufah hjhikjkrskfkz.

]fhv srdsk 8?? ah`k`har.

IHHYKJHY

r.Cr.fhf FHJ


>


35/35


8. 2)jke )jke(

).

9. () 2 ()

) 5 j f 8 8 j f 8 )5.

9 jf( )

) = 5 ? ) 5 , 5

=. 2()

)5() , 5 ) 5 mbsl () , 5 8

1.

5 jf(

9) . 2 ()

4. 5 9 = 5 2 ()

, 2>. ?,9 , () 5 . .

. 23. >

) () ) >9 8 )

8> ) 8

(8)

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Genel Matematik 2 - Tunceli Üniversitesi İnan Ünal Final Vize Ve Bütünleme Soruları