mak dİn için yücel ercan 3. chapter

8/3/2019 MAK DN iin ycel ercan 3. chapter

1/26

M , I

5l+)

Frr-- rr(g->)Fe= BLt-t)F4, =\ z t X

n . -fr, / o \ !r= t-L'tr-a


2/26

N e "-l lo", \,,t{5,r ! | '.

-rt{)ZA tvr!--tr*' f'jjt - 2ro=6-fi,(r^tr')-E^ba: vr-r zr"=rd -F.r- t ror+r1+1Q = k r o n = - 4 3 b 7

\ < A . o , b

q=+ i.F,"-1)= +(f)+r."s) i -ir+tF*=* ) r.. l($'i- u f )'x-tf\u[r.,l-,(t) t.zS;'",-S.r+1E,.reiri *'sfr,l- IEr=+r a'*+r,a'*; r ('e)tF= rri)e e---ff i lxE. -+ (+)' x".5u*'+;-(f;\.*: , , \P=--i-t)(*) i+'(T) ' i i+ Mii t


3/26

- I | . ' . 'Newfun gc(J4 g(g l r i 6 -? . ' t r ^4 I

1 0

Tr.gL ar-I

I'O '=' Fq-R'+ tr- tM 1 = - F 1

I\ n L . ,

't"t {, ,tv

lP - oJ r -,,tt -

t tr-rIl-__-__---1l M l+ - - 1 vxt r . k R el i.g -- lzgu-Tr.r

* - W (

ure'o6+v\*pi;+ r 9 * O

. l rE rferlt Y\


4/26

i r ,f O= [, -tr)' J, du f L.-_tr rr

( t . f , . ) x + rt +\ .x:- o

J,l

c T =D -t l - -

a x ra"+

; u,;"*!r..,r.$)"*|Kx-y).For)*auru,i +M,tt) ' i+u(x-y)i- k(K-J)3

t 1E-w. t, t^to.tr,L, a _E.=Lae- -+ l t a i ' + | kxe xz rP-- -rtk- 4:-_,g47f, L+T"o") M'i'+; vt'] -,E kLf l ; " u i ' x + K x k = ^ B x '("**J !{+ Bi+\ax=-o

CA ET oa+ru,;ri rr,r,(f)'1 i+ tz(x-5)-vW) b-=6 $),,"ug'.r1a r 0 \ ' r 1 , ' , ^Lr*a* M'(5)-Jx+t](!)? +kr --kgr+)a J $ )

Ft+)gr+) Fx 14r

\Je'uLur ,l crga+rqV cljz.j'^ ',

tL oIw^.ucL\utAaa trlf) lzvrvvetinia,lle nV"itle2g .h,-f ",Ya,.r1illeu,,riar.iôr.,i[atavra, i t l t i i * r iu .c V^ ebrô, , \dr tnVi ." h,-.,i .NoLL..

Fr+

[ ^ ' *= *F t4 ) -F t tM'i = -rz.(x-j),trrt)

t ro* ; 5a-g ^*pUt""V, y,^,Sr a ll s,i"' i*-\e yjtlui VtlS&z;Voo"J^^Jtor shAlr

tr"?-\, ( n N t r '\-Jy'6F2 = Ky

' \ / \ /: r x/ h 4 7\4tr " t = 8 x Y - e (

q, = tz.(x_y)

Fr+) -l*.i-r[+ffi.;-o' t - ru' i-u.lx-5) -Ft.II=_oM x + E r x= V 1 ! l + \ - F I + )

Vorr)^',nolb" Ao^rzd,uru, vn,Ia^' "\E:.Q;h"gcr < Lirî ,iiIL"LoQ^ûô.

I i=-Fr-tra 1,,J. t 'Ai='*q-giiA i= - I | . - V^ - ' a ; .

r \ t |lr I vvr d4 r la C(ll r,1ng *r,p_tn eLr :' /"1.,.,,L;l^Li ;sf . is,*,6tit i laqra r^, 14 .. -b va,,jr, ' I Tb \.u,l.out,ir i*,*,+ ô,* ^h ,


5/26

1 ' )V p"^.rf,, !, \Aea srqtr( S,5z 3n :. r d- l a * l F - : u -y g^=B il M l t rr'TTd Mv--Fr+r-rl,--en

M!:.+ Bi +{r z trl+)D,nz, ""ri L ctl

F.3 , l t < )

-lgl{ t

-T- l yFr r V lz-+llv e*r+"'1 q A tt.tt..

Fs ,=K ' (9 2 , )-v-" tr'"'= Kt1*-z"';

tru.t-cr.p=o

-li ' i ' Fpt-r.rri-x"x-BioMi 1[ {1u.x=F t{1 -6-,1-74-6.,_."Fn"+r,r*'i=o

l*,fr /,)r,nF,"l*r.,'f=-oM V + F L L - - OlAi+ kz(x-2.)= O ?- Wz,(\u\t-\"""6^{-9 W\*,\+* A;,u,^le^îr' ,Mi * E'E'?' x-- - 5u._?_u*)U-+v,-p. urrv, f r t '3 , r r )

k t, tl

I o-rmtx l I

, . . , . o LM +[ ' ' ' r?-- \\ _ _ _ _ _ _ _ - : _ t ^ _ _V r + v , t o , /r -Dv'aoîtr- ole^ô , *o[u '.

_--.--5la/It . +tt, e-L "- , ? 2

t ,o'=Q. r - F,.rM,* =F--F1-Fa/ T \ r rtu +Mrr-?ea) x

E n'e -jr ,rns$odtr.,=) utz )Lr r*, .1*lr"(|)i ;r,,r,;1Q--- dF,-=,1a, t4 Kxi+ l.a,iii* l-i ;. * t',r.ir = o( u , * u . + x \ x * 1 r x = o\ | ( . )

yaduL"i=C"r-Fur[LX=-tr-

+ 4 1 { x : O

Mi


6/26

ttr'l M l{, .r+t.1,

13

S4.Wst .tsi*,, diX"4o.u r,n - I yi,i.r&Tj6 UoJ.n.h'Ata*^b'or -o *"^1i ehlcnilrst L L ,-.r*"^* Au+'1t's\usattlr 9t' 145rnu+ \a*\u ur,Eneili ,"re+oJ*,.+.-n.=+L(frFl,1*r*1'p = F r r ) i * = p

J* * ' i + Kt9.\2 xi = tr t l )(e ()L \e+? ,t

rLe(,=x *= .Fo=,xorQz=S, r+, *, )= r'n. Fe.l-.i {*\ --FrR,-fi.R,=tr,a,-e z)rr * , - , /l h l=*F-*+F t l ) Ua &c^ t

) r" r* "ui* r ' I i+K&1 = Fr{)a R ,q R , t J K r ' h x2 t, \ . : r ' ' , ) . r-4,! a t. , i ' - .L-, i i ' ! lOdlr l r l , l !1!r i l 61,6(f da l',ti lyAlr*,t:or | |"uyr"$. r.a aanre,,tlrri

{-rot, r'!r!r , r o j6,!,f Lr o' {qtt!t 12 ^l, rrr . ! l19{. l- kutv{t \. e r.trrl, ! \Onle'[.lo,.ip,s l,r{;L. krrvr.,sf ,( ,\,ro tr,rt*i l]:#: ' ' ; '1'r. ' '^

j4'c,-' 'r("rLle" ' . tp. i

Ftr-1tr

I t r t+.r

N e^^,-uraq /.J4!r l.__-dl+E. ,--.1F, F,Ir-J*tl r , { ' I\+,/ r",M" \l--/r,,M,- Y | 'rL v F,nM. zl ) = F,_fi._Fr r- (zj*")=(E_F,.lp.r'41{ F--F,-F. r, i;6.-r;c,M i i : F r t ) - F - y a ) n(nn".,*+r'a,*fl*$;)i+ ru


7/26

'> onL\t ibLra'rr(^l"i rn\,,ioLr,

Dinr,'.'liL "t"^ rt-o- "o+oL r

1 , 1

i , l p )" , | '15[ M 1 t ';T-L l l5 r { )

L"o"o\^t^llo. $"!1,dl,.tore- At^, u"u n^ol,- -ihbirt^ l-u'*loqs,'^.! svV-r't Vu cl,.'uv^t'4ti, 4dtrwa4z t,d4,44 -ln5*J.,-,l.,)&w-hl'.^*o.,

(! e1le.^sir-t'11io '$^ aJ .d^-.1)

' lEv ' \ e f \ t v \A21nd r ' ,e-= lurz+ l t ' , t tL +'-+)=-v--oA+t r x i r - M i x * ? x tf i * + L - \ x + \ z x : o

i . \ e )?ib;a;.3 . r t l

I r , l r ? -z'\?)

-r*'i-r-6-tr1o ea1 nraL ,

t r .r - _v ;4 \ FL r - - K rxt M lt-f,f Fr , -- \.2 ( x-5)0o* L te,,.-.la. w- sunuq 3,\r ,Ar L.^.11

1t4 -_ .. ru,_ Fr.1.=_urx _V"lx-y )M' i +( f , tZ , - )x \aryr t ), / \ l ltrtvlaw4ltr Cl l u t^z ,^sltbdt^',

/I ..M'i -f,,,- Fu, - 5rtL,p so-uq ,,, l.,onkV41!,',rl '. '

I( "'. c\1p'*L{..r 9fL[j la- d-a^q-dr^r.-',*/" *^ ' i t , , l i r s i ; ^ . 1 5 , r k . . ' ,

(rur|,)i+r


8/26

r---r Ii M lI I - L= K l q _ z \t

M i;)'^= i("#)"_3(n*Ji_c+d_ ,1 . ,r ^ ^ / c \ i - . - Z - F t a )fvr(zr) *a1-z-.2i x(i.rp=rttt

D,n arulV Ae,,u,lz ^n t-o1,",Kiille v,i.,\E-srLrsf dsirnA^,4aqrdu,no- r (L";.inl,o s-, * Lo,l^'. Li "It'Ai^-h,"f t ,yf,)l; el!,ui,p stJ1|vl*( da^rp,;, Ar^ Ltr-a. i 2LXate/Lalal 5o uJl bu-uuuru .

Enel t l *q["J ' tr t , . 1 n \ z , c . t tE r=t ' . \ f r , +ru [ ; i )lP- r ( { - 6( } - * \ ' a3=r t\ . t . r l c r t, . l q \ L* (Z ; ; ) " * - na1 ; ) ' l ' i -= r|{)*_u(hf.

I c , 1 . t \ .t"\ .-;;ij* -sh,)' ;,


9/26

l 6? 2- ,.

b r - , b k , = = l:t.eFr bLr l=( t \42 LJ 61"--

LttZ,+lZ z

+ K s

t l

l - - ' = K , a t , =

b , L b

e : V tP ' \ 2 ,l( r :, , e L ( rP "v 'i L 1k , \ t s \ * g z , /ww- ' b ,2k! rrr+

,Lr =

r =

2 , 3 ^t r * = * K

3 " 4 a

t=;L D - - I r ' -V t A

9 \ 5 u ,

(z ,+ i u- Me L ' I

t > * - tD ' t< K t - c a

e (u.,sr.) f (ta"!r.)=o! , . : I, *P: Yt e2 vt

F ' = \ t V r + l r < ! 1 , - = \ z r + [ r\{ifte }v,-. ';fur,t-z f,a- & dii",*ha ..Lt h ,a^p\q,ut)u^ o'lat ew4("lz3a\+, q tXr.) --L'.^lto t!*Q!at,li.l

, t ' - (t. Mn'= )r"a..*I.r lf l"

J5 y , + t p r * ll ( , 6 y , = t c . ! g .

Vrlur-- KV.--=^I, * t ] L = l


10/26

uj { = x,lu^zasdf

xo d r,.r^Q=_;'.,,.i\L1)1n,t-",l*., -LF,*L..;o.).I ": i In'n' !?i)l*,"I l t f ;zvz )- k ! ^ , r x - e ( r 4 ^ x

Eu=r,a'* {r1i)'=:L*-?li'Euo^ê-tLt.i l x*,",,iEf- - Lvrxz + ) - rvr *L : L " (V3Vt )xLE p"-o"= !r, la,+ L) x'2r r' l L t ^ 4 A l r - - F v ^ a x

\ , 4 c-*-Il-yor,^-,^f t = x.t-r.:^r'-'-"ftr,..- r' r',ri.+ f(q+ af' L \ ! r V - , ,e u-û * [râr- 1 :-bltl i-]r - \ b , / lFr= J K / a* r\ .= ! r


11/26

I t l3 , 4h

X- xo sita r.r"t i= X;^t ncot ^t^lr 6= r',r;tz+lef Eu*it(n,.il,,1,36p=lK x" Ep-"L=!t(x| Eg-^r.:E*..L

2 . 4--3J-h-,i* ra. .,-.loua*! t ' l ) = o t r { { ) - o

|'.|'e1i*LVL=-ooltr',;y"la--,\. = f r \Ai ' Er- lu.xLX: xo Srvr .rnt i = X,t^r" r-oS .,,ntEL-,,t= |Mx"zr^,*r E*^u=)\r.xlE;*.q -Ee"^^L ,^-r^=F3,+i

3 , 1 +

I tIl . .e -\ -b" e\^"TJ

x-- x,:i", ,.,,,,f i: xou..,".,os,,r"fzr= lwvL Eu_ , . rn=! r ' , t x } -PE,= I, z-rxz tz,L| | v-LTA-r , 5 , +5 . - - x L , ! ,= E, ( I

k - I , \ ' r / u' l - - . - - b 2 : / F - L x, * d . torx_E,=| u xL+r


12/26

a.+o>{-* x" si^ t..,r,t i= Xot,:n c-oswntE 6 - l r u r * ' + r r M , { ' *I r ( ? ) ' , - , , a+r,M,1zr).+lI.(.#.)

- ^ 1 1 . . T . 4 r , " - -trr"*"T lM+Mr+4M1+,.* *ff"")X",.,1Et={K (4x)t Ep". . [=r6l{xol

'l M + na,+ rrar*l;. " t_&K,. ,afi , 4 Pifl"t;^ -.1 x= x"t^.,.co5.a",{Eu= t na


13/26

20

l a

flo\r..a na".nu[f,qamlol.,nu.,,"rr^I Lcrvr"nat&r IFa+tru-Mg= Dr - lrA\.r+x/ -Fs(a-x)=D

Qcr+Fox- (rvr5-cr)at trral_Fp)xptro r ,nx+a-x) = Mg4-Mg xF^ : M-qorMgx - p4 . , M,/_a_ z T; nF o = M q - t r ^ : l r 4 M a i * z ; xv t | , -t ' \ \ t t r tvve l l tn '

l___3_*-B j__,/n *A .M Fo

tzitt efi ',v,o,o t lar\\ttatpr'ttLqe.lg ati.mle,3a a3 ,'1^,a lzauret -- ;,r\7 Fo. . M a- / #x Cv"e r, ruue[- i1 l \o i r^ ,x)\-lzr..L-r-l 'L^At L.'ftr- =fr,{

V,iif(a', in gro.lsas'wtQ""(ntDzr


14/26

2 AJ t l

a , t n

M

2 1A'r- -

| ^ 1 . -. ' lM*Fr7e* r^ - - a/ Maz

c,s=-wnfi-fb*j : t , = "- t et--3 s--0'n3ts' l\ : | . t l , - = o ' t ? L{ 4nz+l '\ l

J t t / -"f",--g Y--t= {'..eE--\5 - - 5 ' - o , t s +' J 4 n t + t '

nprJi vuJoJ'u5\a-3 s k"Lriv. 1nr..*{.r,.fd*,,,.{..trt,.ir," bulol'rna

J x - r ' - ' - r { \ 2 ," E- ' =' "r;'+l-I"(?)'*)Mii(2+ | r , ( zx ; " " i t u .x '

.=-at5YJz

qp :+er 'o=-\o{.2rb+ryido--oy$*Vy'"o=oz '

b n =- tv

? mu4

i M a d 2 -t rv 4 r E4 e t

u; t uf.; 'r.14ti'?1 = \ * i{"Aoi'a/u'^-'-':e""i


15/26

5*f;; ?:-grir+!+1 =v \ ^rt--'.1'""

1. lEM--ztl kj K=2oorlo N,/wX " ' * ' A . - L-::), = u- * -_6,y= {' gt=-S) n I - '-

6= 8^5 = t . 6 t i = | b ' - - - D ,L+B V4n"+!'tu"= lF.-- lz: l: : =zt,6z "dA/sv . 4 , i z , - " '$-47,.;"M$ --2'to,L+tr3t,llx?oG = A 3 , 9 N ,s / - ,t-of - rar^f,1-]}. = 1o,b3 rc,l/s

"!L_,"^=It = I?!99 f,o r^tr/s,l r.4 v tV t,\,u*. ath,laki dr^rlAu {" iilo.-,I nl,tr-


16/26

qc-

2

z)x (o )= -e d (o )= o tdan

z - ^,lt**t"Xo'3-)c"t- w^f,ff3 ,1?ur5e,b"sl f , l r" 1 i ,n,." .p"*,n ok-,,ah,n,"Un]."lo".L e"a :. ^ / c \ 2 . . : , " / b r z . . , / a \ t .' " \ \Z;T)xtv6[ZrI- / + t: 3 - l

. t . lw2 v-f lntl.

f - , , ,^ r-a/ lLc 2 = - ' l r -\s|",j^ll" aiffeu ',

f t;--at-,--= / '- G"71.-| -;7- -/ M 'v t c+a )2Vh4

? = t5 1!iT)a*[fo)'*('h,)"0..,)=--u-J1-J?

5 , 1 !-":=za,:- tK?.-o.5l*'b --r? B

\ Ef t Vl t3r,5ttnat1.1r tf J r- f-r, __K Xr i : ' . . , t F c r ^ 1 . ,*L=: -L - r rb=ry : t tt r-tu 4

b 2 g= -. . -A 1 1 L J M K

X ( o ) : 6 * ( o ) = O6 , v< B ,- ciz-ilir,

3 , \ 9

tAaw,

f .- = J Mtc.+b)'1"=!r ' ,r


17/26

243 , 2 0dE ."=) r.n;


18/26

E;,=|r..r.iz++I,lAf= Eu"=)Moi'M o = M - + I rla?Ero= lrg *z J,k1l{)"= er"=I u.x.

25Z, t^oL

Ko = !( -r 5!t4"-ea"--zx- ?a.-_ts"t (J"-_g85"=r+)- )= %;- "u)t Fet+)"-HZ_ ,Le "e\.": i M i * )'=ru.=;'r,r";r'I'n.= Ha :-.)', o--ir(f7)'=es"=,4"' 4=K ftIEr'=a(i j,)'=E1"=6;x' s"=s(hfEs,=t+)x=Egs=%t+)i tret*)=tr1*)3 . 2 - \eu = ltoz+ - (-},., : Er.rf,r.s'r.=, + r.'(*)'er"=!rt .0)"=eo.=)R+"8"=t 'K84.=o E "=TIL) 6=er"=rl({)Aarrt=rt+)1 , o I o

eu =1r U'*5larb)L=Er"=ro, -l s = I ' + M r LEp"--I k (rn,e)?+|t


19/26

26d Er.F

!-!!E(L)

a)!cx)=5(a ' i ( r)=t gtL)$(r-)= "si,rw;t J*n

!1\ ( t ) : A 9.stnu' ' , ' t5(x)=L g0u.,,,..-r..,,.fE''-L= .| nn 'lr)t 3ar,,'=ep*^r.=)K5lu ' j= L w.^- - r EMli)" ' x 'J i iD)

v-- L i1,^ ).*ruan\/..-=-' '" '= 5. I lhrNT$ = 4oo.o4 ls\ulq)',1 ouo rJ

M o-b,r rlovt'r Iu,= lrD ^!) = 2nl2o ,^JL, 11.5.oAts6 og \Do -^ l lsrrDu-itre,,t/-,^ #a- 6,L,

x=-L ici^ dro, e,t'n',Lu,--+ [E = too ,./-s- ! t o o o

, Fe l l ) :F ( t ) - 2 E lC t _ J * -K"-^ )1, = Ei3 - t-3-b t L , -

?i4+, ' ' . ,LO + hpo +Lt e = los\ ' "1Lo- - _ u ie + ' L \ r o r a + L u " ' e = ; s r a'+--zr-'^ 4"=*]1 e " \ . 2 r .\ ; , Iuo / k r . / rt z ;4 \ f l= ^ , , f i = ,\ _f,r I/= -_-=_= (t","d^^ a- 0,7-51^ 1 $ - . tl7*^--V

Iz (Yd")(ffin)'- ! (3 ; *z -7 r )= 6 t ! \FL}

>r J.= |. (aL"-")

I*uo z- - L

Yf[+,tt"'-*r;g]L'\*ftl t' Jio '{*x6-ux')Jx0 . - . , 1 - 6 . L= I $.! u. lqrl l l " :

-6L;IZ q L a ' \ 5 * " l o= + q , r ' ( 4 f * * - f )4 A L - J \ > + /\ t 1 7 \ ' . 2 - ! n l _ i Z- z f l 4 . M J U e v f 2 ' -

M,= 1,?M 1 4 0

! 9 - rC u n - 'Du|,'.tr,"'{-^'o"rAh,^Lu}nJ)h.uroz,

i , L 6M' i -f t(x: I o gi,a oo tX. - " / u

,[1a)7l lrl ,-(H^)'*"--V = I 9 = so."d7j

2500 N/'^1-a t L t

o- i/ul , - t?")"1

b_ t00 ra. t /JJ-2

Xt{ =X si,(rf+/)tr.: Kx-- Ky$ 5;^trt+d)

1-r r , , z l- [ - ) i = 5

bJ -

5 0

t - - 1


20/26

27E, r : KX..= ['- ?.)"1b) n,.. ' .*^ u\r,n-^^, i i^tr1.*^^; (- l.Aj

!:-- - N q+F- Ln TI L -/ --J-- --- ./M J t - . -r - . a - K - M q " o 2 -< \ J M i t t r "t , , , M z q b L

M 3o f o3 , / - b

Fq'vrrr t w\w"Mg" urc

b ) u"2uu ,Mv\,z q -----!:- < Mqu

4 - _ |

r^,L5+J< fr-r-q c o MK < -r^,L5J32:-2-9-Vit^p!..v,,,M5 tky = nr,-^f rn'pL

n^a I 9a \LY= -.I-!'"1-r w r t It - \ ;"1 IY " < Y 9

u,.c"


21/26

2t \ ,

w l

3 , 3 |L f t O + V L g = a 1 | f t )

o ) aL+ =lo ',a,a-a - a c - )"a - '- L^o' v-Lb) tU )=.i,siur ,t

O n" ^r"^LV eo

I t - t 9 l y l, \ t"-,./ |rn) u Lt " " u , . l . l t , l ' 6 n LY ^ ,), lr : . 4 6, j

o,9 r- 9l---, cor_ / l , > r - rg - :Lt J , -r r , l l > - 9 ?9Cr r--l-1- o1-l\ ttt,. lo-"^ ';st^'): r ^ L \ q , I L u < - l ) , 5 t P ^ l

'V-1 1D kr^

2 . r \r n A / r ! 1 T -. / M L b n ,x _ = _l r - t q \ z \l . \ t ^ . } h . , I

vn= 2L V3 a= O,Oo5r \c^,=600r\/c\2" J:: "") , ts _2onb o d/t

l l s - u 5 K,} aA/s^ - _ . _ - L= ' , , r * 5 X lo Yv l:o,9? ",.,,"r

X o2-L. 6,005 / : nr rr| =-:.:- I -l l 5 \ 8 ,?

l r t 2 0 i r r z l, \ g , ? / |TL G,"v .^ ,1/&rd s isR. ,^ ) .MV*ei*|."x =-tr(+) \u = L|ll 114.\ L1 * t l 2

r + l 1 2 9 1 L F o ! - , r u n ,

! ' , J . , , l =o ,3LLtt 1 5 - o , 6 4 4 J M t z e -

f? 6"'"-U n*^ bi-),-a^l^!.^^* \"*.1-,.L'-,,o^trLgl

T (Fb L*vv"ir;,i. .r. -il."i3r,,J'.L^ta,"c !i i t ,L,i ; 1,..t '"I ; t ,( 'L ')\",tA-l "tr^trfi1ara".l.T|rl,u, f, tt . ( .- -QtFn ttr-f ,or", t t tT6=?r.: trL-= r !.t*--1 Mi=F{)-Fr-trr-%--fi l, f l=Lvr Q=si

i ,= t ula,,,L la,,v. l^".,^l^,'.-...-.-.--^ /l r - | !: \z'lt , ln - c^, 'l-r i , / l ' \ r d " , I { ( z 7 i t }v - * ' ' n a . /Lu 2-

Q --2-Lr ,+ sx+F. f s . * - - F . rc-zVxrMs? x= F: +J Zv x -F - -B s7 ,i . iY= . (Q-z r * -Bs r ) -2kx r ( r rFMsrx = r(t) - zv x - (a-zv:N tssx)81r (ttt , r ' 4 , ( s . + A s + 4 u ) x = R' ---'-i\'-

t^-, )Lt-" I+ r1


22/26

w 5 ' % = F { { ) - RF t s lM s z R = [ I - 5 2 1 6 s + 4 u ) r - ( + )\ t. a t f - . \- R ( i r s " + 6 : ' 4 K )

f-.l (Vng- -s .+ Bs+4r< R- -L - Y ' ' J( t -s? yr,5+41.){l)\ r L

,)oV u , lll9 Srn r-ot-fvl e-

aO,^,p t.,,.., A; do^W"^-J,".,,,ok""t&._". _R" 9{lU6'r."

/ r , t ' '(M. 7- ) P - 'u$2+(6 l t { :' { F t+ t+BFl f+aKFt l )t r t l ) - f , ,s inw{ t 'c ,^ A=P"si4(" f4

- l-coz]L+ 6aw'

Kp o r , r .L V^ l r ru " r r ,

V 'Y _ l o

J(r-;l- "+1t1;^)'n a - X or ' , - i ;

I $ = o , 5r-._-._{ 1.562r+il!

a - l) , 5 6

( t r , r L ) '+ [21 . r ' s )ab" &, , la O,sz-^ , { . ' r "f : - = = \ 4 , - Y 5 B _z,,/Me_ 2 ffi.v-a3g----:-

3, 1 g' "" r .r,t uv v^. \Lv^lv \ i+(Vr+Cz)x= lz..Yoin ".r t- , L r ' l ^X-= - ' - h .4

l z r+Lz M (^)-

r,u,rflffiqf -

Y=\1r, {|,++1,)El l^,^,. t izJ*, i),L^

' . . , ' Q ,t , = t d r ,f" .r+r,i . .5" 1i+< !"x - rt t i l4 ,k K, t J Rr----fi;--'MeK.: p, + 3.e =trl+)= (,i".,,tI S l L a , ' ' R l ' .tru= ru"si,n-ttl ) "6"-i,","1tr-gF," .4:.!""'",-

f- I

Y=X,: i " \ t ( t+/ )

b) v.r\h,^, ,E= P' 'ua=b tg ^J'/sa,-'1* , = ,1f t L - row]= iL4op/ , \

__ t" " , " __o,D3o9$jL4Dv/*

x , =Ev,j . \ q ' ^ , - r r ' l ! . ^ # u a r . ! ^ /J A

[nn,' {. ' r.n,l *f ; 'oi i \z =KY,sinq,-l--!,---:^-1- J ---_'.


23/26

69=[?1"','"-1-=: s(s9a 4* +45+3)\tst- ' z, L. c.4-l -L-t>o (9?+5 t ) ( t t l )gl-1,8p r . ' . . . r 1 - L \ )d.-L>rvr-.J - ,;;.t=(r+a)afe-^ttrL+r]

R [.-^t sinull= w(: +a)a tuoai l , ? q{ ' + b i j t l r g + 6 5 = z t 5 ( o ) ? U t o ) . 5 ( o ) 1 o\ Li 1t *t,,^ 2o'plc,"a ia'^s-f.,."ue'!-t,r,u,53Yr : ) - s "g (o - s g to ) 3 (o )+ 65zYt r ) 6 sSt r - ,16g {o)

+ \ \3 '1 tb )\ l 5 lo )+5Yr ! )= 3-( s 3 +6 s ' r t l : + { ' ) ' / r " r 1

LY 15) = -.=....---' f l 5r+( sz 1t l :+ 6)

:f;,1*{+.*-h_.,Fid'=-L*r['"a-"-u--kil ,;-*o\. -s"fr;l-rn*rr\:=.t=cll-_(5+\);t_,:,*+;;

zi1, t { ;3 s---".ssft

L= l?-.1 = -r . dr=t( s t > + t ) l r - - t ' z t\ t + ) . = P - ' Id , l - p - ' [ d ' ] - L s + o ' r ' i G I ' * [ s * o , s : 1 . f 2 \ Z J \ - " 2 - Jo - r f r \ , 1 f 4 lJ- | : 1 . l * f - ' r r rg r+ )=l l n - t o . s -3Q) to. e - t o ,e - jE ) t

1 c \ee -7+c \a, ^ < L r .! t1 = cl ,e-o's"r*{;+ -au"^fr,V)" -o),.o''+1,,-G1,,îy1,ara"*a,

j(+)=R-tfr,rl 'LC#,"-J

c\ ,1 ts"z) r5)15__-- !,, ir=(e+))Yr)l, --" =-is tl = (-' -*.t*t-'[=]-- \ .f ' l \L rx ' l l 3 : . J * l s , r- P ' f ' l , ( - t f J ' - 1A ' L[ t r *zr ] *A L9( r - r j

b r+ )= * - tn +e- t - ;e - ' t *$ -e9+l > oUr1! .,;-tr^ lr), l iLL.Jl)' i i + lg +a1 va"y '= i - Y(u )g lu ) . . j t " l -oil r i l^r"f,^ lnlrlz^t- h ar r /,.,r,,".u,0r,rrrl,,,ssyrs)gz3 t ,- sX tu . ) - ( (o )4s /Yr5 ) -4e I ( ! )- 4g " )+4s ' / rs )t3 t ' ) +3Y(s l -

Y(5)=j?*;;e;)=- d , o \ . . d t . d q

5 + o,9+\C3 s+rl,:-1.t. i s+ 3 52_ a-

= -orLCtL-", j35^l ?_"rz -_ -____-_--_--_-_ Is(s+o,s+;!)1e+3)|. :=o,Stre

- - o , L g L o , 7 t : J

= e "' +![1,1,*a) c,-{}++1du-.1,;';!! * re-3taqg{r)=-o'5tI o'+t-,-$L o,ot ;{} L\-7,t'\ 0.,

l l , l e -o ; rz lJ h r { )t>o

{ " 1 + 5 = 1 5 { o ) = ' l 1 ( o ) = oLV', +-*g,^ I' uglr,ru ln "n lo'û^'ôLaruQ,? : i , ' i , 55 ro ) ' t {o )s ' ( * t ro ) r r r ) }( s z 5 + l ) ' l r 5 ) - - s - t + i -* 5 t - 5 r l d , t . t . - L1t: = 15'ifr= l*,-.lg - ;;-. q' u. t , = - l l * l = - l - o , 5 a a 39r o 's '1 '4 l . -J 7 r 9 r - 6 . S - J J ], 1 ' - g - * t , - ' 'd'=; ,J?G \ - : - \ -+o 'e1a:" z r5 ,_u,s 1{d t = l


24/26

70l a l * t = c - , f r l I - + f - A . 1 ^ , r . .w c\ L;;+.]"r L;_,_q1"ry=1= c-1 ,{e ,s t3c : r )1 ., ^ - to ,s . iE \+. t \ _ - . _ + d e - . r ? - r . + d g= Q,g-o'5t.-$ tlsi^Sty

rd,,,,,-o's}1,.-\+,]s;^f,f) +dr'-- " -o'' [pl,d ,-$ t *,t,1.-;, i,,.trd+]d=gl+te- D'e1-Lr"-Y L-t,,Eq5i"Q.)+

I

\LL .- - s' 1 r,,nut -o ,Zro ,;LA

l l , r oP ( 0 1 -

4, ,""vr,"^,,i't lt-qLc". ?..A-v^,^v\e.latw) Vou,,.rt*1...vd^*.",ll d']'t , J'tAr,

Q t p 1 - ; T t D " ^ . A ,L LV-) =e '"I L{,1=t te-t1 -( t"+")5)I t , l l q

Fr.-r= t!- - at -'t-*qa -3 ( s+ 1 1 2 - 5 5 t t ( 5 + l ) -d , ( s + r ; t+ d " : ( r - u ) - f r s = s L r lo l ,s '+ d ,s+A,+d , 1+d , t l l r : : sz t lo \ r : \ o l , td " r 2_ r )3Ar tAr= 'o

d--oL - l r \ - | L, ,,t _ _)_ _ -____: ^>

( 5 + t ) L{ t + l =P - ' l - r 1 - l u - L s Jf t + ) = - L L e - t

d , = - z

t l , l l ct r ( : t - - I = {*&- 'sz ( r+a \ - - -F -

cl ,s(s+z\d, tsrz)+d,sL= |(ol,+ s) s, + @rl+4 ) 5+2-d, |Ld, - | 2- r ) ,+dr= dz= ,s Af- -o ,L it l , l d r=o " l z= o ,Lg

*-o'5 (-o,r+t, . , . {}F+o,o+4 n \ l r)

A , -+"r\; \ t - e )

+.A({> ")t l , 9 . l

u + q + u , = S i q L b q ( . , ) = - l g ( o ) = e: J J J Js-Yr ) 5go) 5 o) +sY l : ) - y {D +y 'e )= 2s 2 q52 ' l r r ) s 1e ' / l : ) t l tY i r1= { -( : " t ; r ' ) y t > ) = L - s - t - ' S t - i ' - q r o

? t l to

5?+t ' t_ 3 9 - s L 4 9 - 2 _ s7 -tt16Z +tauI- )

l > o

F{r )= f r : - = a- -5z(t'z-r^;t) 9z{ t l r - P - t f , - ( vL-s,' jf,_,Nt+t .=1- s i , . ,ti l , l t b

p - r l - t - |". - [s-t r)tJl > o

Y l . . r -( sL+ r) (sz+: t r )

- .1, c\, .,I . a,1stz1 t-2j 9+o,tJ\L j+o,j J'/-fd , = - o , t ?l - o , r r > lA r - - o ,o -1 ' l+ o , r r5 jdF : -o '413 -o 'oLL jcl^-- o t12\+ o'oLz3

9{{=cl,f -r-l *rt,{ f+ 1p ' ? ; J l t - z J )*d,r-'k+"1'a,u'ffi1- cl,g-it n,.l."it l*,1_,at s-jltt, - ( o , s r i 9 t l- ' r l , , e " ' t ' = c l , ( o s z + - 1 r i ' ^ l r )+cl2(c . , ,?* j s ;z t ) r e o 's }Ld l ( . * (+ t,t1s,'nt)+duo'[!"n'ti- I s;"! +;]= (c ,1 ,+ t l t )c . , , tzl -+J (1 , -d , ) s , ,^ l f+ e-o + [ra,.*,1,,).",,![+j ("r _r1,,;i^ +]

c \ rt + L

u..


25/26

t7 l

ftrr=P-rvi-t*"E) .'t=- +frf r+; -o,zsto5lao,LSe-LL ro ?t+r-= ' c 'u' t L>or r r l , l l l ' t l f ir " r l q-" " - - - I - r , l - - . - 59+Ls4-+39+l 2>7+ZS+\c , : ' = - f - - ! - " \ , - - L y - - E r q r : - - - _ : - - = ' , J - -' s ( g + r ) ( s + z ) 5 t * t ' , t L 9 L + l 5 L + ld,= F tc )+ l -=I = e+ 2 + 43 : ] =s+z +L4- -L , l t = o 7 ,t = o Lct . = Fr :1 [s+) \ _ - l { t+ t= ' [cu r ]=* St *aSt+) 2c . .a t -5 iv r t' te=-t ' { , {+ L>o) ^ | U , tc \ 1 = F ( a ) r ' 9 + z l - = - +) l+=_z -z-

F r s r = Z - d , J . d ?E - ( < - r - I z I , I L 5 ( s l { ' t + l l S < + o . e + i s . o . s - r 9' - s - i l r - t l J ) - .

3 + L 9 < 7^ , Lt L + = K - ' l F r s ) l = e - - ' + Zl r l l ," " ' 1 -

d,-- ctsl t lr__?L

dr: -t *a vi

Pt t= r- +dLe-o t{9 frrgr''s-r t )tl r t t '= * e-o' ' [d. ( , ' , G+ir i , , ' l . - r l )+ d3l< .'a !22 +i l2-+) )= / 1g- ',tf ta \11, .\t+ (, lr- . I " ) j ," $t ]Nt t: z -1-o ' t+-o$ l *

^ < L- 9 e - " ' 's i , rQtlJ } '2-t > o

, ] -e - t ' t>o

F-{s) = ----------------. ( s z + r ) ( s z t a )cl , al. d, r .d,,= - +s a+\ Eti\

cl,s9* d, s?+4rl,s +4 1.+drer+drs\-As+,)r.sd,+dr=o d r t r tn .e 4 r l r+c {s= l l - t c t r+d , , - -oY" J". c{.-- - t r ! - . r . l3 - u _ - - , r = - ! , t \ . . = oL t ( \ - t r I a- \ > t : _ _ _ : _ _ : = _ = _ _5 6 z + l 3 9 L t +! t t 1 = - l . . . a f - L a ^a L t { >ol l . l l g(= r ( \ - t . - J , . *s (sz * ) 5"1 , '+rl, + c|rsL Lrs e \d , - - l d s = o a ( z . ' l

d z 9 + 6 34 e t \


26/26

/ o\ t\eal^'V - Atqhv.ltr 5"L,/\ = 1t- r '1

I\

Or*r5.v. t ' ' , - i xf t t=i .r l t ) b i rr* \ '* '*nLr,!rru^, Xrsr = Jr c^!.^tr\lti I'q"^r h''oi.lprc\\^!r$ttA^ U ar". l , r 6, \ /A . < q (I t 9 ) = - r - -+ . / " +> G s - 0 :* = l ' J

, * r,..-(s *-i o- q;+q.,^{[1[. - r / - "L + L1'v:o9+ ruf

G t s t = K ( s - 2 , ) ( s - 2 " ) - - - ( 5 - 2 ^ ) ^ L t / = - l 6 r t + E t1s -p , ) ( s -p r - ) - - ' t : - f n )t("rn V*-t ist iL pol t ' , ru,- ,r- . ."( urrL""^,$'x L;LI^e,',^i 1*pl^'^ a1r a'ralrH(z,rrs"l-. i < l ( 5 - z i )t s t g - - 1 = r= r ' - _ ' 1 ! l- - -iJ t r -pi) ff rsr+r1uru,.:+r.,0';r' )

z i - x - -f r+) ?(+ =5h l ' t )[ z s + r ) x 1 e ) = F t r )6. ts ;= I l2 = If=t'1 Z t* |

Frs;=

X ( r )= 2 s + l_ st 9+() ,5

o tv l { ) = f , {

t a a

({ >o)E a e- o f ,+ 6 a , ( e

,s

1 = t \ > o

\ t + ) . . 5 - 6 e - o ' ' +

mak dİn için yücel ercan 3. chapter

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