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ENIE
BAq ]
1 Fors
a)
. Uneq- orde L
Yt '31 "{ e'^
"ftk. pcx) -- -z ac*), Ye3"
y , g-'( ecx)a-[
I a
! PG )Jx g c*) o(,
'
= e
- f -t x"r*
-7
1,
r'*Ar  er*
: ('-f /e -., . ye'* /n + C J
z e';'[7',o^ tc]
z (t'C Yr tc)
, 1r et* + c.e'^
*C J
)',. t rl
dik. ?C*) : -{ , a Ctr) z cA trx
g: et* t I e-t*. cos rr 4x + c 1
: e'* L,ffi ('a cos sx + s- sin s-^) o.J
= t-(-.rcos S-x*ss.tn 5-*)+C'e*
"t
"') Y'
frt
v,
- 5v : 6e*
y&l -- -s- , a.Cx ) ,6 {"
e" L -f e
-*. 6 <* ,tr tcJ
€t' (* c-'"+c)4
9e* i ce t*
7
7slonf
Bab I
Le) t'l
dt
U?G
5--t ')
^:o
Y = (x-+8 n
f:O+"O
L :- lfi(
-lLr C I'i*
fiadi J ? 7'+8r
+ (-qrtnYx-Ycosr*) f ce+'
5s
'J
t+Lq)'
( -asin .t, - Y cos.{ -) r rJ
Yrsr'n
-?
to
tw
4
e
l-+
3rn
-?
fe
e
t- ?.
-+ y ?
lLv =
e*o r
."*
[.
, o.(r) ; Si1'1
'1 ;
-rr(s?nqx)a*tc)
-+7
e) Fargoto.saiar. khssuq 'da.f , pers . dige;;41s?at lfnJct,
lrfte L
7l
+l+ + Gte)e-*
6'Y'+2J= e-t- ) xzo.-V'r'?'.
v =
z:-+f:3-)- i:rr.7
--_<-t,. + c e-.,
Y --a i x;o
U = - e.-.* + ce-r,
a: -! tc
3 rg
t l? fre.' :,^ . t3
W BAffiffifu EtrIE
Bng r
3 'gs. ottgorarsr'at fnter Lo*qon ocde a.
a. y" t-y' -t 69 : 6;r
Pc.rs- Lantu ct - sr + 6 :ur
(r -A)(c -g) --tr
er: a* )Cz--
A, g v" - e'1V'+ 16 x ,o
flnbnMQr" - ar +16 =o
( 3r-y)' --t>
trra =
ril
C. y,"- ryttaV:o
ptsbnw 11- -ar t & :5
tl,a ' -b+ {6"-.1ac
?'aJi
dad.t
fiadt ,j
V: Cr e"'* *c. x <q/3 ^
eq
'- *!
a
'*=$. L-ri =oJzL .,6-_!
V=Cte* @s xt C".g"Stnx
:*
[ors" ban ru '.
4' Pers. ltjecegiot (tnler [**qg* orJe z
d. U" - eyt* rV :o ) a=o , U'= z sqqt- F =s
rt- 3(- + e =o
(r -z) Cc-r ) : o
t-, 'a V a,. = |
Saal- Y,O x:o
y -- Cr e
t''+ c. {'
O -- C,.€o + cz.€o
e z Cf f c. ...C,)
ffi".e, * -k =o pCr:z
nastaCr +UL =o )
V=Qte2'+Qze*
Y'= a r:.c
v' -- 2 c, e"' + c.'e.'
?, i Cr 1Ca--Cz)
-? &Lc"=o- )atdi V=zezn_ze*Ct z-z - , ' _
D* lslan
4.
BAB I
g) V"-zv'+Y=D )U=l ;V'--z saat Y:o
Fr,z ,( 'eo U'CtQr+'e2:i'et
!..-'
3=l &-x--o y,=z ? i=o 'i.-
L " c, go + cz.o- eo a -- ct €'o't cz eot
iaAi y'1e*'t Lne*
r-- , :.
=
,..
g* + x_ e-.1
e') V" -v'-6y =o ;y'-o Jaw u'=i sae.t x:e
pcs.bannr ct-r -b --o
f -- z ) f -- .-L +o
J,= ?:, .1.:1";*"-,nsaal- x --o ) u.o I-r"o*'!'=1,';*'-"oq): Crtcr- (r) I t--icr€o.-zc.eo
t.t'3fr < ]eL't-''(z)
€{fr,,rinasi cr 4 c1 =q; lr.f 3€r + *r "o r
3Cr-zc-1 :l lrrlsCr:*=l+ t
fCr zl
? ott-t f
e-.* :_ "
t Cz' : (>
Cz 3 - I
.s..
6a$i U=, |"t'-
J ) u"+8s't t6y--o
I
s
B6s.oantu rL +or+16 :-o
C rt q )
t--
o
c,rz : -Y
5
!'
9at
o.:
" Cr g-*^ { Cz
qa
V =o i x :(>
cr *"o "_. cr)
-.tf r
rt e I gaat
I
y Cz,e-{" I v'= -
I
I
r:'
-'A'
:l ,r=o
-tf -!t
g --YCz€'
cr -Y.cz
- 1Cz
.L
J"
(Gr
1
o
c
Y
-Yr
-(
3'=
j a'Ai
enrErBnB
r. Por". J&erarstq.( hUter humoqen oc/re u"nOti
6v =o
t r t 6 =o
a. 9"
pors ban
elr
I
-Yg"+U't
tv gb -y r.
-yt6
a -Y-b
(r-z)(rt-zr-3) =o
Cr-z) (r-r)(.-1r)--o
F,--3,C2:3)f^r-_-l
Y = C, €'t * Cz gt* -t Cg €--
t. Y"' +6V" + sy'- tz.1 :62
rq+6rt +s-t--lt-:o
3 -s-8
-l -z 8
-B
-lz- o ?+
-e} t
(r-g) ( 13't ar.- rr -B) =b
Cr-r) tr+g) crl-g) :o
t-e
U.
-3
A 9r
Lt €
-s b"
+cze-t"
L,
?crs.bant,
r f t 6 g- -rz (r-r)(ra+?r+tz) ?D
? tz (r-r)(.+3)(rtq)=o
t + tZ l-q Ir?l .rf._.-Z ) fz- -y
X=cr€*tcze-j*f c..-*'
e. t"'t3V'-6g,-*i=o
Prs .bantu rs + 3r'-6r - I =o
Cr+r) Cr'+zr -s ) :o
Cr+,) (.-a)(r+v) :o
Fr=-l ) Cz=?, rz=-1
Y= c, e-*+ *zeL*+ a=e-*^
), y''-tLU" t r?y:9
?ordoonku Vt - lz-y' t -t? = D
r,:3 [z=-3 C3=t.G Q=-G
+ eB *,e+,€s C3 e*; + C't e*'[x
3lt o
3
ls/amP"une
BAB !
(inoar6- &u. nou- horvrogan crJe e
P0$lomoeeu , Y" -3V' * z3:e
pofs. hntu r '- 3r + a :o
(r-r) (r-a):,.
C, : I 7 Cz tt
Yn -- Cte^ + c2 €q
furgsi pcccobaan
Y -- Ae*
V' ' - Ae- -
v"t = Ag -t
-1.A' +YO : I
!aa-vo--o ?
EB : I
B =t
J -rlV' 0
cos a*
YhrY?
Cr + cr. g-t*
Aj
:
sin l-r
J.
-2
-l"B
+ I stn tr
6
-l
8
a
)_
-l
,t
+l
g
bq"ll Y :
io0i,
Y : Yh +Yp . CrQ*tCz et* +-./ze'^
hDU tQuvroEett *X" tzyt =o
fors.banbu e rL+2r :o :D r(r+r) eo
fr:o ) Cuz-l
.
" ,,. -/h = Cr t C.' e-7*
$u. pe y"' - 3 y' { L.x '- q e-'"
Ae-' -3 ( -Ae-') tz CAe-;) =ve-,(
64 e-' = y€ -*
6l : Y
, A ='z/Z
' YP --1e-'
3t
.:r
fungsi fr eoboq4
1--ACos8rtBsln 2
Yt---z AsineE tLBcoszr
y" -- -YA 9oS zr -YBstntX
Yn + aU' = @e & x sub- Fo 3an9st porobaoa
-Y & cos &. - YBsfn Sr tA ( -LA sln zr + )B c.c e*) : (os !{
*-{ A eogA{ -{BJorn Br - t{ F gin rr tY gcosa x : cos}x
(*Ys +ct?)e"s p x*Fqa:10) sir, ax :crsa,.
-YA * 4ri"= ,
-Y$ = I -
Cog lr
Ba e F Pg-JrtAhf=. -.=-=,-: * entE
6..) yn + 6y, + gJ -- €" .f Yh 'c,e-3* t c.:
"-t^?DBtomoGEtJ : Y" 1 6y' t gy=o  Frngsi goccoba44, y = At€,*
prs. banfu : r-L "t gr + t :b  V'. A (r z
Cr-+3)t:13 J v"'.4(y.ve
f,,t : -3 )
Y "+6 U' t 3y -- €"* srrb. pq gurgsi @-ccobaa 4
Ar.4 eo'hs 6ey zet* +Aerr tgAxe-tr "e"^
t6 A ,, e"* { BA €"{ = €.(
8A : I
= C, e-3" rLz-^e-3.t$>e.^
d.)v"t y:. sedn s-r
Ftrt = t' i
Yh - Cr cos x I cz sin x
$ungsi ?oCcobaan :
Y n - A c cos x t B r ir, ,<
b' : -A s:sin x + B s- cos { .'
y""-SA ctss* -?,6- sinx
-A S eos x - B C st'n y + A s- coS x {-B Ssio r : fsfin,r
-{v : 1)
/aoar' j = Yh +Yr
.- Cr COS ?. + CZ Stn r
"'"*
z*)
"'+a
"t1
..i,a Bna L,
6. e ), "i* $-=,b*' + r2'y"n, s;fr' ' ''--'{rii tti'
, .-f.ql ,&mpen '-Y.:l -lx**1.13*.1-:-s *--
i pars. b"*td
: ": vr ! r +'1
*"t
*: tl ,Y= *', "
i ,:i.,ry_&
" f_..,-Ir?*.{.f,& },,_nr$
,
t,u -l'i,...) i,''F,-- 3,(zztl
, ,, Yh, Ctet* t€r€*' ,''.;r, :.L l:..r-] Ji f !y- -rE r 1s

';i
!d' ,'-.. 
) *f .'.-'- ;.
"
j'1
,a-l-
-) iap ' '"r " ..' . ,, i '.:'ry.:l
1
,J .: + '; r ? ; '3-i',*-t ':5.'
9. -
,J: {.r+ 1.'
9dh.
a
,i -1{:"
?saes'-+ CsA"t.*'t z CFet*) =etE
,-
, lSAet* -gS1gs* *e4est .€S" .)'''-,:k
1 BAet*u*q6f".J*i'.3,n-si.i
--.:
i:,1.i-,
-BA -- t
A t- -l >-*5 ;''-'i '-'r ": '.- J-
Y
-,t?i
7t
6i:-;
.i!
i s ..i
)l r J
: il ,-ili }i ,l l"*
x ?i:j} ?
t
;
,iia&i *{_
> r',: ; "?
o{* - t esA:-vsr
r :_rir
,ry * .,y
'x irr f .:1 'F { :.": l; ''r
1
Y'Yl+Yr
- Cres'*cz
ry. r, .. ii+iirtli l. i x.r'ir;

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Mtk dea bab 1

  • 1. ENIE BAq ] 1 Fors a) . Uneq- orde L Yt '31 "{ e'^ "ftk. pcx) -- -z ac*), Ye3" y , g-'( ecx)a-[ I a ! PG )Jx g c*) o(, ' = e - f -t x"r* -7 1, r'*Ar er* : ('-f /e -., . ye'* /n + C J z e';'[7',o^ tc] z (t'C Yr tc) , 1r et* + c.e'^ *C J )',. t rl dik. ?C*) : -{ , a Ctr) z cA trx g: et* t I e-t*. cos rr 4x + c 1 : e'* L,ffi ('a cos sx + s- sin s-^) o.J = t-(-.rcos S-x*ss.tn 5-*)+C'e* "t "') Y' frt v, - 5v : 6e* y&l -- -s- , a.Cx ) ,6 {" e" L -f e -*. 6 <* ,tr tcJ €t' (* c-'"+c)4 9e* i ce t* 7 7slonf
  • 2. Bab I Le) t'l dt U?G 5--t ') ^:o Y = (x-+8 n f:O+"O L :- lfi( -lLr C I'i* fiadi J ? 7'+8r + (-qrtnYx-Ycosr*) f ce+' 5s 'J t+Lq)' ( -asin .t, - Y cos.{ -) r rJ Yrsr'n -? to tw 4 e l-+ 3rn -? fe e t- ?. -+ y ? lLv = e*o r ."* [. , o.(r) ; Si1'1 '1 ; -rr(s?nqx)a*tc) -+7 e) Fargoto.saiar. khssuq 'da.f , pers . dige;;41s?at lfnJct, lrfte L 7l +l+ + Gte)e-* 6'Y'+2J= e-t- ) xzo.-V'r'?'. v = z:-+f:3-)- i:rr.7 --_<-t,. + c e-., Y --a i x;o U = - e.-.* + ce-r, a: -! tc 3 rg t l? fre.' :,^ . t3
  • 3. W BAffiffifu EtrIE Bng r 3 'gs. ottgorarsr'at fnter Lo*qon ocde a. a. y" t-y' -t 69 : 6;r Pc.rs- Lantu ct - sr + 6 :ur (r -A)(c -g) --tr er: a* )Cz-- A, g v" - e'1V'+ 16 x ,o flnbnMQr" - ar +16 =o ( 3r-y)' --t> trra = ril C. y,"- ryttaV:o ptsbnw 11- -ar t & :5 tl,a ' -b+ {6"-.1ac ?'aJi dad.t fiadt ,j V: Cr e"'* *c. x <q/3 ^ eq '- *! a '*=$. L-ri =oJzL .,6-_! V=Cte* @s xt C".g"Stnx :* [ors" ban ru '. 4' Pers. ltjecegiot (tnler [**qg* orJe z d. U" - eyt* rV :o ) a=o , U'= z sqqt- F =s rt- 3(- + e =o (r -z) Cc-r ) : o t-, 'a V a,. = | Saal- Y,O x:o y -- Cr e t''+ c. {' O -- C,.€o + cz.€o e z Cf f c. ...C,) ffi".e, * -k =o pCr:z nastaCr +UL =o ) V=Qte2'+Qze* Y'= a r:.c v' -- 2 c, e"' + c.'e.' ?, i Cr 1Ca--Cz) -? &Lc"=o- )atdi V=zezn_ze*Ct z-z - , ' _ D* lslan
  • 4. 4. BAB I g) V"-zv'+Y=D )U=l ;V'--z saat Y:o Fr,z ,( 'eo U'CtQr+'e2:i'et !..-' 3=l &-x--o y,=z ? i=o 'i.- L " c, go + cz.o- eo a -- ct €'o't cz eot iaAi y'1e*'t Lne* r-- , :. = ,.. g* + x_ e-.1 e') V" -v'-6y =o ;y'-o Jaw u'=i sae.t x:e pcs.bannr ct-r -b --o f -- z ) f -- .-L +o J,= ?:, .1.:1";*"-,nsaal- x --o ) u.o I-r"o*'!'=1,';*'-"oq): Crtcr- (r) I t--icr€o.-zc.eo t.t'3fr < ]eL't-''(z) €{fr,,rinasi cr 4 c1 =q; lr.f 3€r + *r "o r 3Cr-zc-1 :l lrrlsCr:*=l+ t fCr zl ? ott-t f e-.* :_ " t Cz' : (> Cz 3 - I .s.. 6a$i U=, |"t'- J ) u"+8s't t6y--o I s B6s.oantu rL +or+16 :-o C rt q ) t-- o c,rz : -Y 5 !' 9at o.: " Cr g-*^ { Cz qa V =o i x :(> cr *"o "_. cr) -.tf r rt e I gaat I y Cz,e-{" I v'= - I I r:' -'A' :l ,r=o -tf -!t g --YCz€' cr -Y.cz - 1Cz .L J" (Gr 1 o c Y -Yr -( 3'= j a'Ai
  • 5. enrErBnB r. Por". J&erarstq.( hUter humoqen oc/re u"nOti 6v =o t r t 6 =o a. 9" pors ban elr I -Yg"+U't tv gb -y r. -yt6 a -Y-b (r-z)(rt-zr-3) =o Cr-z) (r-r)(.-1r)--o F,--3,C2:3)f^r-_-l Y = C, €'t * Cz gt* -t Cg €-- t. Y"' +6V" + sy'- tz.1 :62 rq+6rt +s-t--lt-:o 3 -s-8 -l -z 8 -B -lz- o ?+ -e} t (r-g) ( 13't ar.- rr -B) =b Cr-r) tr+g) crl-g) :o t-e U. -3 A 9r Lt € -s b" +cze-t" L, ?crs.bant, r f t 6 g- -rz (r-r)(ra+?r+tz) ?D ? tz (r-r)(.+3)(rtq)=o t + tZ l-q Ir?l .rf._.-Z ) fz- -y X=cr€*tcze-j*f c..-*' e. t"'t3V'-6g,-*i=o Prs .bantu rs + 3r'-6r - I =o Cr+r) Cr'+zr -s ) :o Cr+,) (.-a)(r+v) :o Fr=-l ) Cz=?, rz=-1 Y= c, e-*+ *zeL*+ a=e-*^ ), y''-tLU" t r?y:9 ?ordoonku Vt - lz-y' t -t? = D r,:3 [z=-3 C3=t.G Q=-G + eB *,e+,€s C3 e*; + C't e*'[x 3lt o 3 ls/amP"une
  • 6. BAB ! (inoar6- &u. nou- horvrogan crJe e P0$lomoeeu , Y" -3V' * z3:e pofs. hntu r '- 3r + a :o (r-r) (r-a):,. C, : I 7 Cz tt Yn -- Cte^ + c2 €q furgsi pcccobaan Y -- Ae* V' ' - Ae- - v"t = Ag -t -1.A' +YO : I !aa-vo--o ? EB : I B =t J -rlV' 0 cos a* YhrY? Cr + cr. g-t* Aj : sin l-r J. -2 -l"B + I stn tr 6 -l 8 a )_ -l ,t +l g bq"ll Y : io0i, Y : Yh +Yp . CrQ*tCz et* +-./ze'^ hDU tQuvroEett *X" tzyt =o fors.banbu e rL+2r :o :D r(r+r) eo fr:o ) Cuz-l . " ,,. -/h = Cr t C.' e-7* $u. pe y"' - 3 y' { L.x '- q e-'" Ae-' -3 ( -Ae-') tz CAe-;) =ve-,( 64 e-' = y€ -* 6l : Y , A ='z/Z ' YP --1e-' 3t .:r fungsi fr eoboq4 1--ACos8rtBsln 2 Yt---z AsineE tLBcoszr y" -- -YA 9oS zr -YBstntX Yn + aU' = @e & x sub- Fo 3an9st porobaoa -Y & cos &. - YBsfn Sr tA ( -LA sln zr + )B c.c e*) : (os !{ *-{ A eogA{ -{BJorn Br - t{ F gin rr tY gcosa x : cos}x (*Ys +ct?)e"s p x*Fqa:10) sir, ax :crsa,. -YA * 4ri"= , -Y$ = I - Cog lr
  • 7. Ba e F Pg-JrtAhf=. -.=-=,-: * entE 6..) yn + 6y, + gJ -- €" .f Yh 'c,e-3* t c.: "-t^?DBtomoGEtJ : Y" 1 6y' t gy=o Frngsi goccoba44, y = At€,* prs. banfu : r-L "t gr + t :b V'. A (r z Cr-+3)t:13 J v"'.4(y.ve f,,t : -3 ) Y "+6 U' t 3y -- €"* srrb. pq gurgsi @-ccobaa 4 Ar.4 eo'hs 6ey zet* +Aerr tgAxe-tr "e"^ t6 A ,, e"* { BA €"{ = €.( 8A : I = C, e-3" rLz-^e-3.t$>e.^ d.)v"t y:. sedn s-r Ftrt = t' i Yh - Cr cos x I cz sin x $ungsi ?oCcobaan : Y n - A c cos x t B r ir, ,< b' : -A s:sin x + B s- cos { .' y""-SA ctss* -?,6- sinx -A S eos x - B C st'n y + A s- coS x {-B Ssio r : fsfin,r -{v : 1) /aoar' j = Yh +Yr .- Cr COS ?. + CZ Stn r "'"* z*) "'+a "t1
  • 8. ..i,a Bna L, 6. e ), "i* $-=,b*' + r2'y"n, s;fr' ' ''--'{rii tti' , .-f.ql ,&mpen '-Y.:l -lx**1.13*.1-:-s *-- i pars. b"*td : ": vr ! r +'1 *"t *: tl ,Y= *', " i ,:i.,ry_& " f_..,-Ir?*.{.f,& },,_nr$ , t,u -l'i,...) i,''F,-- 3,(zztl , ,, Yh, Ctet* t€r€*' ,''.;r, :.L l:..r-] Ji f !y- -rE r 1s ';i !d' ,'-.. ) *f .'.-'- ;. " j'1 ,a-l- -) iap ' '"r " ..' . ,, i '.:'ry.:l 1 ,J .: + '; r ? ; '3-i',*-t ':5.' 9. - ,J: {.r+ 1.' 9dh. a ,i -1{:" ?saes'-+ CsA"t.*'t z CFet*) =etE ,- , lSAet* -gS1gs* *e4est .€S" .)'''-,:k 1 BAet*u*q6f".J*i'.3,n-si.i --.: i:,1.i-, -BA -- t A t- -l >-*5 ;''-'i '-'r ": '.- J- Y -,t?i 7t 6i:-; .i! i s ..i )l r J : il ,-ili }i ,l l"* x ?i:j} ? t ; ,iia&i *{_ > r',: ; "? o{* - t esA:-vsr r :_rir ,ry * .,y 'x irr f .:1 'F { :.": l; ''r 1 Y'Yl+Yr - Cres'*cz ry. r, .. ii+iirtli l. i x.r'ir;