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PALLTWEAB r{rfilA7'rgfU$ Aru4&l 8,rilfd&, BEI,I?AYd
dao k<tto& oltu, otda.la
J= olo
=lL= -2 e-3/q
L
4 CZ,* $ t r
#,.s(h Y, ) * n-stq" C-; q r,rff'"
n#,-E r*y' tfstnL+g cost
- -4 . _"/4L UEi ^ t4 - 5laL-
=.
aD'- a'2. 6eslL-;.ffi, e Jrn uEr
,_
+,n-r,^
!,, $,
,1 '3lqb rl?l a -
+ ieA
J'-' -"o,
ff+ 4 7, stn +- + Z cosL
= -llr"-utooro, g LoZr-ila'"r" ry r-*u,e-'/ot*rn t
- ry n -'lo"",n
S + ^lt smL +2[) cost
= -Y e-bl4t.o' $t - 2)--'t
e-dot r,r, S a +i sm'+ lcos+
=2"-z/aLr6s Su*e-zt{tr,n gt +!stn b +f casu
ilnUut< Vbesar CL-e)
ma,Ka nt(at
n - U4b
7u" cosEu-4r->la+A ;Ere 'stn
Svhgga orut I --: stn t 1 z Cos +
UT.
Toq
Ct V
"sar)
.
,{4?Erdrtru*
"a[,r?uffAffi
ilAla&r,(mgil764arsAArA#6g4r7utrq
!= d.a
a
= - b. ec-314L Ccr ros q t*+ e2- srn
4 : un L-s/a)L
c-F c,st, fl t4
+ E (z co.r
Y il* i r, n b- t cos',
Xco) =o c_>l"it
6= -zl4 e C ct cos fl y*.crstn uEi d+ec'3t4)LC-ZJcrsto
q b+$ czcos $r)+€stnt-f cost
T co)=o
J=-sto eL-''o'u C", cos S-o + Cz stn
*.o) + e 6'e/a)o
- V ",srn ry o*ryCeco,y
ry o)+6r,no-_ecoso
o= -* C., .u" o+ czstno) + t C- ry Ct sro O+ ry Cz coso)
1?.o^| r
e; -glq Cer.l{ 1z.o)t
e-- -] cz"t+ c- Y
O=6- z-4
A ------
o--E cz-a.A ,b
YSc, o+g cz-t)-;
i o+g c,)-Z
Utt
-/a
l--- G
Cz =a t 4
b rzt
hdr',n_tlq)Lrz
0=9 " ( -3
=!vla
tIEr t1
cos Vb * ffi, stn E' r4
vvt
r2T3Jtn{2- 7 cort-
"AilZyKArWe*tWFrrgmEff764$/B,rtr4(..{BEErZAZrd
htt2: -b J
2.2
?engelesa(ao umu rD
&h= C,e
C-3/4Y
cos tfTi
2
- 219 -AA +sb >4
->A+bB:4 -."C>)
{ Me+.d"e elrmtnast
-3.4 *'blb = 4
5A t>b =O _
-
-bA = t)
A '-- 1L
b
-
.5
Qangelesatan rchuJuc :
&P = - E ."t u tt stn
pznV olesa.la"o Unl u rh i
G = oh +,9ro
= c1e -' ."ro, E
7- zlilL 4
= e (Acos
,f-
= -b ! l=l = -b ) tlJi-;
4
homog en ,
g' -+ Cz e.'-'Wrrn  +
Fun 9J, Q7rcoba.aP ,
6=A carts+ BstnL
0l=-Aglnbt Bcost
o'r. -h cosa - esin E
}enga,n mensubtr+ttuJr kao ke Qersatmaq.o Cl, dteeroleh,
zC-Acos& -Bstnt)*e C-A.9(nt tBcost)+S CAcos b + Bstn L) = 4Jtn t
zAcost*:EJrnt- bA stn$ tae cosb )E*..os b + BBstn b--4.f aht
- 2 *i 3g +5*>O
bA+3ta--O.--c4)
+ $,1ggode 6abJt t$(I81
>/+ t ab=O
b'(-3 + ze--ozr
-2 +>b= o
bb' 2
b= 2
Z
btcr€c-'/o)*rrrt -e corb 4$stot
5' r* czrtn $, )- Zr*Et1srn!
UnkUk rngnen€$t<ao Cr dofi Cz Ktea eunaka.n Syarab aD al 6 Co)
= @ da,o I. cO) =O
r -3la ).n
?="
1 -t1' " ccr co$
4 -"r czsrn Y il -f roto+; stno.
Q= C1- ?,
Ct= Z
b
-t.O
*I4IW{/tIT{A
P4[L?%ffiffi il,ilWF,f&tU$ ff8648/ 6,rtr4&,1 BEEl?Alrq
d.ao
a--da
w
= -?e-at C- |, ,* b -E"nn t ) + e- ""C?slnr - #r*Q+ * e"t
=
I o''* 2u -z*. L -zL tz -ot- 7re cos t +*e-='rrnt -f
fie-=l,n E -X e-22u u+* e4E
= - 8- o-'*.o, t" + *_n-r*stn { + * n
o,
Z't " Tz'
= I ^-zV=
ue-h- C- A cos E * 26 srn +) + * "o,
o.(aalah arus I cu) d,alaftt rzzfiglr.alao ?Vc SePerUt Qanbat'
.,lr.bard a,b t n,' . (bagoLtm ao a ?en'l a ktroya taa L E beSar t
:4oStDtUd€
C =oto7
DtK : ?. bo ottm i
L = Ao rtenrU;
L-' oto' Pa"adi
E *- ao -ftn tr W+>
O* : * can tah a,rus T Ce)
r baga(mofla lea{@kunva Saa€ L b€sa(- ?
Jawab t
{-[u.,t u- Ettchot$ I
zOd'r+ 3oor + '/o,or0; 40 ctn L
7-Otttl6'+ Dd = 4rtn E -' Ct)
?Dv domogen :
zO't+)O-t+ba=o
'lerSarnaan ban Ltt "
z(z + Dr-t 5;o
il418rutflru
-
P40lruKnf&r{4ilA7,*4m8ilEdg0l6,fAr4ffi aEEfi AArq
9engan vlgnJub.f+tLuJtsao k'e versamaoLo cl tP€rdeh:
 6 Aeat + 4 c4 A e%) > CAeau) = 2 eAL
l6 AeAb+ tG Aeo" t D AeqL' z€4L
Z1 A >2
A-2-fr-
-b7
)adi,&p-- #rot
Qon'ta lesatan rJmun : '
G -- Ch +eP
= Ct€* 2 lcos
t * Cz e-' tnt t *r "
ot .
= e-2t Crr Cos t * Cz stn t) n
? nOt
unguk menecrt uka.tr Ct do$t C z <-tba Qunakan saa'ra? a)Dat
(} to) =-o do.n f,co)=o
& Co) =o
6, . c. Q-'rco, v + cze'?
tsto
e + Zz eot
O, Ct€ -e ocos O + Cze-2 'ostn6 + 9- e+'o
= Aeo. l+
= Cr' l't +
__ c, + *t
Ct = -9.>7
A= do
*
=-Oe-'b CCr cos a lCzsrnd *e->L C-Csrn E*Czcost) e4L+-g
3'7
a
Cteo. o + * n"
cz-. I . o + |-r. t
{r ICo)=O
tl- ae'arCcr.ost*cz grr t)-(e-'E Gc's(0'* cacos E) +*r"or
e: -ee-"-o Ccr cosO+ Castno] te-a'oGcr.crno t czcoso) + fl e4'o
:_a-r Cct . r *Cz.o)t t (_ct .ol cz_r)+ ], .t
:-a C-+)+c,+*? z
=1 , I_;_ +; + Cz
z7 "-7
fo- 12ve €
'b7
)adt, & -- e-'L C-
+ Cos $ -
E srn k) { 2-
37
e4"
-
P00lZHtrnf&il,f alUF,fgm?ffEdg9lB"rArq(.,f BEtrrf AZVi
O3. agn+. jrcaQan YnUa n arur I Eebaqa w atc+a+
doiarn s€buab ray:rqkatlao ?Lc rJtka ?>zto ohvnr V= lo hpnrv i c >oroz
FaraA da,o v = aoe4bvolb r olanqoLo svaraL a(Dat :I =o, 0=o ati
V--o ?a Aa saaL s a.t'lac )I+UEU-P' 1€n+uk atc,ab 1,tua t aru.r I
Saa* + besa" -
gtx: (=4O o6m;
L : to hehr9;
C : O toz farad ;
v -- ao€ Ab
,,)olb )
eengao {'Ya,ra.L a-Dat '.
a .O i 6}=0 altu-O
?a Aa saot* saq;fa* cltbq+uP
olb, Tgntul.ao kuatg T sebagat (uLn6J vcatk*u t dart mua+oto o P
)avcab'.
Htrkurn ktrchoFt'
Lo'r{ee'+*a r Ecv)
loo
(
+ Aoot + r / otoz. o -- ao e't{
o"-+ 4or+ Ee: eoe4l... ct)
?oL Homo $Qn:
c) 'f + 4&t + Bd;o
?ers om aa$ bar+u 1
11.z t4F + B--O
I^t12 : -trt $z- 4ac
= -zli
z.l
- 4 ! l=a-
--2
-4*- zi
2
=-zLi
V enlelesotl an umurn
(}h = ct?'" Crt a 'Y
Fun 6 J, (erabaan '.
A = AeAL
.($'= zlAe{t
O,' = lb Ag4b
bomo gon :
-Zu.CzQ srh
2.O'
g)-- 4-1.5
,r4rur&ffr*t
-
PAEIruKAlWr{/tAlae*gruEAWEBI6,frr4&tsELITVArd
Ol . Sebuot6 Tan4kanao dlerr[dto tndUk*ang V>lO henw t 1.e6tS tanti p=
o h* dan ,guotVl bab^ratl t'an9 Wombe llsao Sua+U begangan t@frJban
Sebesa'r {,o6rn IOE Volb.
Tgntut anlah -,
at) f sebaqat suaiott filn4Ja b denTao ofigqa?ao tatUtar dlLclLU+
elaq T zO pada Saat t =-o .
il Arus dorlatn .eadaoto vta 67nb4? Sebagott t;^,atu f$n6 t r
lN otkLu C ao g g ztP t fn €n d.ekabt V a,,k *PrbtCI I Qat).
Otk: L = O hgn rg
F: Bo Ohry
Vcv), 3o stn [o u uott
ptL, d T sebagat Euatu f-{,tngJl F=+ T=o 9 t>-o
d Arus darlarm ke a dar 4n fiant o* * b -' **
)awa'b'
to dr lAu +8o1 -- 9o srn tot
d(At+8f : €Jt'l toL
VLil =8, &(Y) :0 rtn tot
r-: e-[vd+ C t"J?d+ . O CO ola+cJ
l: e'fsAtE f essAt. gsttr 1otdz*ca
= e -8t C g teBtsth loY ol++cJ
r e-Bt
tffi (or,o lo!-rocoslot) +.)
gnt,uk t->o 9 Saa& E=o rnotka ?e'"'satnaao
T :9/t aq CBstt' lob'(oco's'(oe) *ce'Bs
o :4fi0a (Os(h to'o - l0 cos to'oJ'tce-d'o
o =gll6aCBstrr
o -to cor O ) + Ceo
o : 0[&e CB'o -to'r )+c
o>-gollb4+c
c = ao /to4: Lts/82
.-tJodt
,
):-, = z lto4 Csstn lob -locos Pv)
+ 4s
"
e-BL
Ta
6! s21ta9 wr7o)adt't
,,Y,)z; N:tr:L:"
ggfitn04a:
t =3 (Ssrntob -tocov PY)
rA
tfrL/E*{,tWt
/'-
PA[lruEtlK n{rlW,rgm? truggl 8,rilr4&4 BE0fi AZrd
bav L
2'b. Soat Lai+thao
Ol' Sebtrafr ranTVo{^n FL .tePert{ qotmbac
/ts^m ?ng - JtKa attKetahut y =G 6{gnrU'
restsbansi ?= av ghltr Aolr. .suatu ba&ecat
-/an9 mefftber*utn Sv6 tu yeqan%n Fon'Sbart
Sebeso,r bovarL' Jt!''a I =o, Pa)a 'faq{
| >O Csaar Eaw[ac S d'tWbuP)' lentukab
t ?qda .sa6aE- b '
O&'- U : A Aenrg 7-= o. AaQ E=o
@ = a.{ah; csattctar sJttrri(tP)
EcO -- 9o votd
Otl I Tentukao .t ?olo' 'tac1+ V ?
Jaaab. L A((At *Pt: Ecb)
p:grtOhtr
'gLk)=TovolL
OAt/dV+eut' zo "n
&|d'L +qC ;5
?c+)= 4, O c+):5
'-,
' e-Sid* t 'fei?ab'OCd
dt+c1
= e-J^ot f [nt1d+' s AL+ca
= e-o*f !eo". EdL+c7
_ o -ALr s/qeAL+cJ
-v L
- 5/a + ce -4b
ilnbut L r-o ?aAa taato v>-o mo'ka A?ero@h "
J: v/<+ ce'AL
o = vlqt c' e-1'o
o-- gla*c
L'-e/4
I ^t^t -s/q e'4b
pzaka, 1 ?ada sao& + adalab t L =
b{4
rt{ATEilAru*
PA[lIEffir& r**Wr*,(rue il7648/ BAnr6# EEEITVAr4
0994, rc*tY) = X 2yr+41- +6v+Cr
UnUU f Y> -t t SaaL { =2 t try1d.lcar,
*"1ti4t- q xlrc
2-' C-t), + A. 2z * e. c-12 :C
-a +tb-B=Q,
1=C
Jadt', lersamaon a(tFeren stodn-/a ada(ah, f z/ )+ </' -1
c) C'/o +zxy *12 )v'. -y2- zf'/ +,X2 '/ f:o t saatL Y=/
C/2+2ry--/")d _ *j2-li s -J -->tY+Fz
f _-t?
u t -z(y +t'-" )dr. Cf2 *z*v _22) ol|
C-Y2* 2t'y +,(, )df - eN 2 *zfy _72 Jclv=OM = C-.U' -z-Fy +rzj + zt4
ru = c-.tr2-.y-,+y; ; *
--2Y-eK
n-* ='2*l-zY
21.4 _ zP
-a- -t7 ?'9 eksak
21 2*
FC+.-r) = JMd*+ cCY,
=Jc-'12-2t'y + y 7) d r+ c c-/l
= _Xyz_x2-/ +t(bXb+ cC-t)
-le(an)ut nYa
{r=aJ tv/r +rtcv):-Nc t't()2/
- 2f't- xz +cr ty) -- -r2 - 2*Y +12
clCl): -Xa_>xy*y2 +z*-/ +X1
clcl) . Ya
cct) =
la Yb*c,
SehtnlQa r t Ct ty): -yy ,- t'ly + | (Z x z +^lel 71Ct
Untuk *-o , saaL ./:l 1aa.ka :
-XY' -tua +,(zX7 +,/>-{3 = c
-e.rt-9r., t'lo O3+ t(7.t3=C
tla - c
JaAr', ?ersamaa.o edteeren .f rolnyo qda[orh:
l'-x "/2-' x>1 +'lvxb+ 'lz/v= t/z
5Y.74 .
l44T'g-.Ha Tt ls4
-
ruU774AWr{,4W'fKmeAlE44ErB'fi1f6ffi EEILwYf
,l -bf " -() d* t Ct +27 -Xv) d1z-o
M-CZY-3X2 l) - N
=^Zyzz./
N-- Cl +2-I- Xl) + zv - _ br'
2N =2 N - o.t) t*tZlL:' =2 N _) ?.O Eksark
z1 7t
t=Cf r-/) = .J $dt I cC't)
= tC2t- >t21)At+ cc-t)
= *L - l3-/ + cCfl
Sel an)uL n-/a , .-
{ - 0 SN dt t rt (-t) _- N, l*rt):. -0 f,Nan +d C-t); NC *t[)7Y -eT
-X) + c( Cy)-- * zy *y3
c'c-t): t+ tl-f 3+x7
c(cy) > l+27
LLn)=.'.l+'t2+Ct
S€htn99a r € Ctt-/) =xz-x3Z +y+y2 4ct
Qerarnaa"n dl€eren $adrtTq aAaila.b :Y7-fZV + Y+12=C
B . -fe[AJar +<a^lah ?ersama.orn dteer en&at ek-satk d.eng617, S'{oLraL
babas 1an9 ettber lkan ber[KUu :
) Lz71t+8i dt+LbrLl$+s)olizoi y---t ,saaL y=z
O crL {zrt -y>ht = --/ 2
- zra +f,, ) t=o r Soe& y>t
J a,aob ,
) Cz*-{, +8il d*a Lbt<z-/'+s)dU. O r y= -{ rsa+t *>z
ft; l> *17 +Bt) -, q, > a*yz
Nr -- ca f ,'tri,g) u * =-
6;u.-/
z
2'l 2* 
cfrl) '.lu d*+ ccv)
=J c 2 *y 7 +gi d,* t- c Cy)
: x2-f a+ 4tz+ cCl)
Se{an)u€
^-1a,
"ir.:!*1" lcrcv) = Nc/ry)z1
a xlY' +cf CY). brz yr+s
., a( (y?. 3f * 1'+ s - 3x27'
clcv] = 5
c cvJ -- 5Y+c,
fraTE Nnr[M
PAEITEFaffi lfirW'rfim9 ilWdEr Bsftr4ffi EEEIfAArq
1 rt.y6-tt +aY _- -- . cr)
+ ?OL hsmo9oo
./,t + @1t +g.t =O
t (er5 4rn aao ba.nLu
(z+6r*e=O
6 rta) c r tb) =o
f t =(. 2 2-,
+ ?enge lasa(ao urvlUrn nOmO get
Yh, Cr e-bt * Cz de->'r
+ Fungsl Percobaan
-l -- Ae2'(
tl -- L Ae''{
yr( =
q, ftezf
+ Jubstrtust Ke Qersamaao c) 6ttpecO-(eh
4Ae zt I GC2Ae/t )+ E Cftezt) =O>/
4 frezt + lz Ae'r I g Ae^ =eLx
25Ae'* = €"
294 = I
A=)
zb
+ De:ngelesa.'l a'o [.chuSu S- :
ye = t(zs Ozf
+r [enU elssalan umu m :
-/ =
yrr IYP
' =L'r|-=*+ cr- fe-bx + t(29e2{
7. t€(psal l..o,rrlah QeYramaa'n rttFeren{tatl e{sats bertku L I
a)- 1zt +t) clr + Czl + *) c(Y.o
il. gzr-zrrt)d/ + ct{zv -rz)A-f -o
Jota^b'.
a) Lzr +rJ d*+ (2-/ + r) dy.o
M=CL*+1) -rg =t
N=czy**) + =I >tz*
7r'a - Z! p p.O g{qsak
'V'l z x
Fcfr-/)=.fMat+cCY,
-- t Czr+-/)d r *cLy)
=Xa +Xy+ CL1)
SelanJ vL^Yor
Trn' a.d"t { c I cY) -- tu c r-t
27
X {ct C:) = 2-/ 4*
Ll ;l) , z'{ { *-x = 2y
c|'l) . -12 *c,
Sghr'n 44a , TC rr-/ )-- Vz+*Y{'12+c,
f,)ersamaan drfFe ren51'( nY' adathh
X2+ XY+12 =C
rY)
Na r E"{4 A rr k4
PAEIZEEIl78,a{'filAFTigIWAWEEIB'$r6&rBEIIfVArq
N er m4 4T tlcn
b) -f "t+6y ',+ D v, -t, y =o
t ?ersormaao b a.otau
g?qer, +gr-t2=o
Cr-t) cY+4) Cr*>)zo
F1:t Vtr=-a V13=-3
+ ?en9 ?l€sqtao Llmu m
Y ; Ct e t' + Cz Q -4{+ Cze-DK
fletod e
rG
Hornac
5 -t2
1a
 7 12
tz +?r *lz:o
t2 4 .*.
j+
6 . Je(asal F-ato Qers^maao attferensl at Itnter non hornogeb ocde
olU.a lzer tKUb I
a) I rt_
b1t { 2-/ = 4.e- *
c)1" +6-/'+ q-l-- €2K
J aaa,b "
;;'"ir- lv r 4rY - +e"Y ct)
+,. ?gL bom} gett
:1(r_ b1t + 2y:O
+ ?<rsamaoro bontv
(2-bc*z--o
Lf -z) 6r-() =o
f r= 2 {'rz= I
+ p enYe ($ al ao umu rn hom o g 96
th =Ct€zt'pgre{
+ Fungsr Qer cobaa'o
1=Ae-{
Y'" - Ae-Y
Y'(= le-r
r Jub.rtttus( tse Qersamaah ct) owero(eh:
Ae-*->C-Ae'*) +ztAe-*) =4 e-'/
Ar-*+zAe-{+2Ae-Y=4€-Y
GAe- Y
-' z1s''{
bk =4
frt 3 =7b3
'd QengeL€soilqn lchuJus :
-{g = Z o-N>v
+ ?engelesalqo (''(rnum:
-l= Yh +Y?
> C( ezt + Cz Ot y Llzg-x
ruIIZE&tK rfr4fraFri€rW nEqEEI BAild&, &EIITVZr4
b) Z tt-2--/l + y =O i ..l=t dao -{(=Z Saa+
+ lOrs a,maao bonbu '-
rz -2r +t :o
Cr-() Cr-l)=o
f t: fz>l
+ Qenge(esattan urnu m
Y cCrel'i + Cz /et
+ flntutr< Y=l t rnatka:
Y=CteY+czN€
1:Cteo+Cz-Oeo
f=Cr*O
Ct=!
+ tln+uf Yl= z , lvtakA:
t'= CGt * czyeN
Yl=Cr et+ Cczer+Cz*et)
-/f : Cr ex + Czer I Cz't€(
2: Cteo+ Czeol Cz.Oeo
2: Ct*Cz-*o
7 :-  *Cz
Cz = 2-t = I
ft^Ka:
'?gv
1z Y; Ct€ * + C'Ye{
--e* + *.e'l
b . Selesairlao ?ertotm a,to p(1 Ssrgn.cta ( [tn t€i hom,gen ot d€ tlngg I
b Zr tkub '
d y rr-4:rrr+yr+ 6v.o
g) l"' - Gy tt
+ byl -12 ..lzo
JauJab:
r7 rt(- 4y 't I -1t l. Ql :O
Qersamaa.o bomLu
Y>-4('*r +6=o
rletoAv dorns,
1 -4
Lr-z) Cr t- 2r-3) >o
Lr-2) C r'a)(f +t) :o
l-r;2 Vrr-3 V 13=-1
+ ?enlelesalan Umurn
Y =c,e"t Czez*+Cru--,
f=o
r2_
-)
2t
L'
- =O
2
t+
-/.
N4f,e.lU,*rtlc4
ruLrffiffi& il/rArOT,fEmB AtWEgr aAnr$A BELfiAZTq
4. Sele(att aoln /ttfer etulolt ltn
oeogon 9a^raL babas Yan g dtbettlcao ber tKuU :
a) f rl-3'/(+2y
=o i 1=o d,an I = z saorb *>o
b) .t rl- 2-7l + y =O i y= I olan 1t> z saa& * >o
!aoab'.
o0 Y"- VY I 1zY=o ? 7=o "lan
-{t= 2 gaat r=o
?ersamaan ban lpU :
(2-ar*z:o
Lv-z )C r-t ) =D
f t:2 Vfz= I
+ fen9 elagatao vlmum
Y: Ct€ ,] + C>er
+ Untuk 't --O, marka "
-{ = Cr€ 'r+c z €{
o -- Cte 2'o + C-€o
: ct€ o -l-cz
= Ct *Cz
Ct *Cz >O Ct)
+ Un+Uk *flrzt tqYa:
l= Cterd + Cre*
1t= 2Cr€2r + Cre*
2-- 2 -CreL-o+ CzSo
=2 Creo* Czoo
>2CtlCz
2 gt 4 Qz> 2 Cz)
-* E{t m nas t ?er $amaao Ct) c{ofi CzJ
Ct*cz=O
TCt *C> >A
Cz=-z
+ JubJlttuJl Ct-- 2 Fg ?ersotrnaa'n CO
Cr *cz>o
z+cz>o
Cz= -z
[Yatca :
?DL + /: Cre't*Czev
PIArE l,tA r?'1t<'a
7
rutr,fHKilKrfrrAlWigIWATdEEIB/f ,tr4&ISEIITOY4
1. e- JPc-r)dx gSsJPc *-G cr)dt*c1
=e-52^r lkf, zdt . e_s* A*+c3
-- e-^'Cte'u. e-" Ar+cJ
=Q
-zt f Je-t. a*+c7
=€-2'f-e-r+.J
___e-b* +Ce _zr
UntUf 1L=O 't-l=2 1ueFa:
-/: *€ -"t + Ce-2y
z=-e.-5'o+ ce-z'o
/-=--€o4C€o
z = -l*C
c= z4l
>$
Yn 6aVQ .
VoLATY=-Q-3*+ 3€-2r
b . Sel1sattkao ?ersamaan a{ t Feren f tatt lmear n2'(nog et'
ber tKuL :
a) -tfi - 5Yl * 6-tzo
d) ltt -41t+ tBY ;o
Jaoab:
) ytt -b-/ l * 6Y e0
+ Qecsam aan ba'ilvu :
C2 -gr *6eO
cY-a ) cr*tJ =D
v.t:6 Vrz= -t
A) -/ rr
- zl*lt * r3yco
+ lUrsamaa'D bafitu"
t2-4r*t3=o
tf^tr2: -bl Vffia
7'A
= -Ga) !
=4 !
7
= z! lfro
7
+ Qecsamaa'o U rnurn
'/= Creb*4 Cz e-x
=4L6i
2
z)z
#=z;?r3
ord,e dva
Unun..
* cze't slo
+ fonl e lasalao
bx
M4 rEM;EI't'k4
I
PA[,I77KA&fr{4tlUFigmEA,E4EE{6,1Ar6#,f BELlfTlrd
2. -teftvu<a.0 [ah, 0gnuetesaua? F-husuJ dafi ?eysama^n atFer€osrar 1rte,|.
orde tabu 6len}ofi rya,re*, bcaa, laog altbo rtVcan bettkuU:
a) -/t +v . ('* t s) ' ,1= t , g,za44L I =o
c) -{t try : g-5* ) t=o t-/ : z
)aucab'-
at) -l t*y = C++il 2 ry =l t Saa,L f :o
-ll+t-- cl*s)2
?C*)=t i @Cl ): CtfB)2
-/--e-f,ecDd* tjeJ?cf >dr.
&cr )/:tr*c1
=e-ft^n cJerrd*. c*+s) ,o1^t.J
='e' "IJg*- Cf+5), ,'t*+c7
: 9 -'E
-te * C*'+ to r + 7s) d*+c1: Y 'E_[e* C*.+ tc
Je /C x=+ ror + 26) Al
/t€erenst aVan $Eeqrakao
E Lrr*toy *z>)ex- Czt+o)Q{4ze*
y= 9-r [ ( v"+tox *z s)et- Cz**to7e
*4zex{c J
= Clz +(Ox t zS ) - (z** tO) -t 2 + c e-x
= x2*tOx +zE - z r-to tz tce-x
: X2+ 8l +r7 + c€-x
(ldoUt< Y=l , Saql, f.O ryy762tcA:
Y = X2+dr*t7 +Ce-r
!. =02+B.O+tl+ce-o
l= lr+c
C=l-17=-lb
lYatsa .-
?OL )? Y: Xz+ 8x+tr -tOe-X
c) 1l+ zv = e -3x
'-/l*zY=e-3x i r(=Q 'r7=2
QCv)=z ) Ocf) =e-3x
K A*
X2 tto f, tzs C*) ex
z*1 lo C,  er
z C{  e{
o  eY
pa0rTaffir&n&raav4gtr?tla6a&r&4ffA&rBELrwArd
bes r
1- b La+lt'an Soa.t
t. .9et€sat tsantah lersa,maolo ,(r$erenStal of de sotLU bAr thu{" '
a) -lt-ba -- zle+*
b) tt- 2-l = cos 5/
JauJab,
d 1t -z'/ = 4€3t'
'?c*)=-3
iOCf)=4e*'
y:€-l ?cr)ol, ["te sPc*)d*.Acil dt+c1
-- e--l- za,
fj. t-e d*. a er*
"lt
+ c7
= €3* r J-e-3x. Aezr a* +c1
=Qb*lqSAr*cJ
=e?rf4{+c1
=4fe5r+ c'€3x
b)-/'-aU-- Cos 5x
?C*):-z ) OCf): CoJ 5K
-{
= €- Set*:dr I fe.rp
cidr . ACr) dr*cl
-- e - f-zdt
fr* J-
'^' . co* c sr) ot *+ c J
=Q2
*[ je-". cos C gt) d ftc]
- o2f r e-zt' v 175fi,f -, .r" g * { 5 rrD s*) +c7
o)uC- 2co.$ sr+5stn sr)+c'€'t
= -h czt tn *A srn Bx + ce ar

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TUGAS MATEMATIKA

  • 1. PALLTWEAB r{rfilA7'rgfU$ Aru4&l 8,rilfd&, BEI,I?AYd dao k<tto& oltu, otda.la J= olo =lL= -2 e-3/q L 4 CZ,* $ t r #,.s(h Y, ) * n-stq" C-; q r,rff'" n#,-E r*y' tfstnL+g cost - -4 . _"/4L UEi ^ t4 - 5laL- =. aD'- a'2. 6eslL-;.ffi, e Jrn uEr ,_ +,n-r,^ !,, $, ,1 '3lqb rl?l a - + ieA J'-' -"o, ff+ 4 7, stn +- + Z cosL = -llr"-utooro, g LoZr-ila'"r" ry r-*u,e-'/ot*rn t - ry n -'lo"",n S + ^lt smL +2[) cost = -Y e-bl4t.o' $t - 2)--'t e-dot r,r, S a +i sm'+ lcos+ =2"-z/aLr6s Su*e-zt{tr,n gt +!stn b +f casu ilnUut< Vbesar CL-e) ma,Ka nt(at n - U4b 7u" cosEu-4r->la+A ;Ere 'stn Svhgga orut I --: stn t 1 z Cos + UT. Toq Ct V "sar) . ,{4?Erdrtru*
  • 2. "a[,r?uffAffi ilAla&r,(mgil764arsAArA#6g4r7utrq != d.a a = - b. ec-314L Ccr ros q t*+ e2- srn 4 : un L-s/a)L c-F c,st, fl t4 + E (z co.r Y il* i r, n b- t cos', Xco) =o c_>l"it 6= -zl4 e C ct cos fl y*.crstn uEi d+ec'3t4)LC-ZJcrsto q b+$ czcos $r)+€stnt-f cost T co)=o J=-sto eL-''o'u C", cos S-o + Cz stn *.o) + e 6'e/a)o - V ",srn ry o*ryCeco,y ry o)+6r,no-_ecoso o= -* C., .u" o+ czstno) + t C- ry Ct sro O+ ry Cz coso) 1?.o^| r e; -glq Cer.l{ 1z.o)t e-- -] cz"t+ c- Y O=6- z-4 A ------ o--E cz-a.A ,b YSc, o+g cz-t)-; i o+g c,)-Z Utt -/a l--- G Cz =a t 4 b rzt hdr',n_tlq)Lrz 0=9 " ( -3 =!vla tIEr t1 cos Vb * ffi, stn E' r4 vvt r2T3Jtn{2- 7 cort-
  • 3. "AilZyKArWe*tWFrrgmEff764$/B,rtr4(..{BEErZAZrd htt2: -b J 2.2 ?engelesa(ao umu rD &h= C,e C-3/4Y cos tfTi 2 - 219 -AA +sb >4 ->A+bB:4 -."C>) { Me+.d"e elrmtnast -3.4 *'blb = 4 5A t>b =O _ - -bA = t) A '-- 1L b - .5 Qangelesatan rchuJuc : &P = - E ."t u tt stn pznV olesa.la"o Unl u rh i G = oh +,9ro = c1e -' ."ro, E 7- zlilL 4 = e (Acos ,f- = -b ! l=l = -b ) tlJi-; 4 homog en , g' -+ Cz e.'-'Wrrn + Fun 9J, Q7rcoba.aP , 6=A carts+ BstnL 0l=-Aglnbt Bcost o'r. -h cosa - esin E }enga,n mensubtr+ttuJr kao ke Qersatmaq.o Cl, dteeroleh, zC-Acos& -Bstnt)*e C-A.9(nt tBcost)+S CAcos b + Bstn L) = 4Jtn t zAcost*:EJrnt- bA stn$ tae cosb )E*..os b + BBstn b--4.f aht - 2 *i 3g +5*>O bA+3ta--O.--c4) + $,1ggode 6abJt t$(I81 >/+ t ab=O b'(-3 + ze--ozr -2 +>b= o bb' 2 b= 2 Z btcr€c-'/o)*rrrt -e corb 4$stot 5' r* czrtn $, )- Zr*Et1srn! UnkUk rngnen€$t<ao Cr dofi Cz Ktea eunaka.n Syarab aD al 6 Co) = @ da,o I. cO) =O r -3la ).n ?=" 1 -t1' " ccr co$ 4 -"r czsrn Y il -f roto+; stno. Q= C1- ?, Ct= Z b -t.O *I4IW{/tIT{A
  • 4. P4[L?%ffiffi il,ilWF,f&tU$ ff8648/ 6,rtr4&,1 BEEl?Alrq d.ao a--da w = -?e-at C- |, ,* b -E"nn t ) + e- ""C?slnr - #r*Q+ * e"t = I o''* 2u -z*. L -zL tz -ot- 7re cos t +*e-='rrnt -f fie-=l,n E -X e-22u u+* e4E = - 8- o-'*.o, t" + *_n-r*stn { + * n o, Z't " Tz' = I ^-zV= ue-h- C- A cos E * 26 srn +) + * "o, o.(aalah arus I cu) d,alaftt rzzfiglr.alao ?Vc SePerUt Qanbat' .,lr.bard a,b t n,' . (bagoLtm ao a ?en'l a ktroya taa L E beSar t :4oStDtUd€ C =oto7 DtK : ?. bo ottm i L = Ao rtenrU; L-' oto' Pa"adi E *- ao -ftn tr W+> O* : * can tah a,rus T Ce) r baga(mofla lea{@kunva Saa€ L b€sa(- ? Jawab t {-[u.,t u- Ettchot$ I zOd'r+ 3oor + '/o,or0; 40 ctn L 7-Otttl6'+ Dd = 4rtn E -' Ct) ?Dv domogen : zO't+)O-t+ba=o 'lerSarnaan ban Ltt " z(z + Dr-t 5;o il418rutflru
  • 5. - P40lruKnf&r{4ilA7,*4m8ilEdg0l6,fAr4ffi aEEfi AArq 9engan vlgnJub.f+tLuJtsao k'e versamaoLo cl tP€rdeh: 6 Aeat + 4 c4 A e%) > CAeau) = 2 eAL l6 AeAb+ tG Aeo" t D AeqL' z€4L Z1 A >2 A-2-fr- -b7 )adi,&p-- #rot Qon'ta lesatan rJmun : ' G -- Ch +eP = Ct€* 2 lcos t * Cz e-' tnt t *r " ot . = e-2t Crr Cos t * Cz stn t) n ? nOt unguk menecrt uka.tr Ct do$t C z <-tba Qunakan saa'ra? a)Dat (} to) =-o do.n f,co)=o & Co) =o 6, . c. Q-'rco, v + cze'? tsto e + Zz eot O, Ct€ -e ocos O + Cze-2 'ostn6 + 9- e+'o = Aeo. l+ = Cr' l't + __ c, + *t Ct = -9.>7 A= do * =-Oe-'b CCr cos a lCzsrnd *e->L C-Csrn E*Czcost) e4L+-g 3'7 a Cteo. o + * n" cz-. I . o + |-r. t {r ICo)=O tl- ae'arCcr.ost*cz grr t)-(e-'E Gc's(0'* cacos E) +*r"or e: -ee-"-o Ccr cosO+ Castno] te-a'oGcr.crno t czcoso) + fl e4'o :_a-r Cct . r *Cz.o)t t (_ct .ol cz_r)+ ], .t :-a C-+)+c,+*? z =1 , I_;_ +; + Cz z7 "-7 fo- 12ve € 'b7 )adt, & -- e-'L C- + Cos $ - E srn k) { 2- 37 e4"
  • 6. - P00lZHtrnf&il,f alUF,fgm?ffEdg9lB"rArq(.,f BEtrrf AZVi O3. agn+. jrcaQan YnUa n arur I Eebaqa w atc+a+ doiarn s€buab ray:rqkatlao ?Lc rJtka ?>zto ohvnr V= lo hpnrv i c >oroz FaraA da,o v = aoe4bvolb r olanqoLo svaraL a(Dat :I =o, 0=o ati V--o ?a Aa saaL s a.t'lac )I+UEU-P' 1€n+uk atc,ab 1,tua t aru.r I Saa* + besa" - gtx: (=4O o6m; L : to hehr9; C : O toz farad ; v -- ao€ Ab ,,)olb ) eengao {'Ya,ra.L a-Dat '. a .O i 6}=0 altu-O ?a Aa saot* saq;fa* cltbq+uP olb, Tgntul.ao kuatg T sebagat (uLn6J vcatk*u t dart mua+oto o P )avcab'. Htrkurn ktrchoFt' Lo'r{ee'+*a r Ecv) loo ( + Aoot + r / otoz. o -- ao e't{ o"-+ 4or+ Ee: eoe4l... ct) ?oL Homo $Qn: c) 'f + 4&t + Bd;o ?ers om aa$ bar+u 1 11.z t4F + B--O I^t12 : -trt $z- 4ac = -zli z.l - 4 ! l=a- --2 -4*- zi 2 =-zLi V enlelesotl an umurn (}h = ct?'" Crt a 'Y Fun 6 J, (erabaan '. A = AeAL .($'= zlAe{t O,' = lb Ag4b bomo gon : -Zu.CzQ srh 2.O' g)-- 4-1.5 ,r4rur&ffr*t
  • 7. - PAEIruKAlWr{/tAlae*gruEAWEBI6,frr4&tsELITVArd Ol . Sebuot6 Tan4kanao dlerr[dto tndUk*ang V>lO henw t 1.e6tS tanti p= o h* dan ,guotVl bab^ratl t'an9 Wombe llsao Sua+U begangan t@frJban Sebesa'r {,o6rn IOE Volb. Tgntut anlah -, at) f sebaqat suaiott filn4Ja b denTao ofigqa?ao tatUtar dlLclLU+ elaq T zO pada Saat t =-o . il Arus dorlatn .eadaoto vta 67nb4? Sebagott t;^,atu f$n6 t r lN otkLu C ao g g ztP t fn €n d.ekabt V a,,k *PrbtCI I Qat). Otk: L = O hgn rg F: Bo Ohry Vcv), 3o stn [o u uott ptL, d T sebagat Euatu f-{,tngJl F=+ T=o 9 t>-o d Arus darlarm ke a dar 4n fiant o* * b -' ** )awa'b' to dr lAu +8o1 -- 9o srn tot d(At+8f : €Jt'l toL VLil =8, &(Y) :0 rtn tot r-: e-[vd+ C t"J?d+ . O CO ola+cJ l: e'fsAtE f essAt. gsttr 1otdz*ca = e -8t C g teBtsth loY ol++cJ r e-Bt tffi (or,o lo!-rocoslot) +.) gnt,uk t->o 9 Saa& E=o rnotka ?e'"'satnaao T :9/t aq CBstt' lob'(oco's'(oe) *ce'Bs o :4fi0a (Os(h to'o - l0 cos to'oJ'tce-d'o o =gll6aCBstrr o -to cor O ) + Ceo o : 0[&e CB'o -to'r )+c o>-gollb4+c c = ao /to4: Lts/82 .-tJodt , ):-, = z lto4 Csstn lob -locos Pv) + 4s " e-BL Ta 6! s21ta9 wr7o)adt't ,,Y,)z; N:tr:L:" ggfitn04a: t =3 (Ssrntob -tocov PY) rA tfrL/E*{,tWt
  • 8. /'- PA[lruEtlK n{rlW,rgm? truggl 8,rilr4&4 BE0fi AZrd bav L 2'b. Soat Lai+thao Ol' Sebtrafr ranTVo{^n FL .tePert{ qotmbac /ts^m ?ng - JtKa attKetahut y =G 6{gnrU' restsbansi ?= av ghltr Aolr. .suatu ba&ecat -/an9 mefftber*utn Sv6 tu yeqan%n Fon'Sbart Sebeso,r bovarL' Jt!''a I =o, Pa)a 'faq{ | >O Csaar Eaw[ac S d'tWbuP)' lentukab t ?qda .sa6aE- b ' O&'- U : A Aenrg 7-= o. AaQ E=o @ = a.{ah; csattctar sJttrri(tP) EcO -- 9o votd Otl I Tentukao .t ?olo' 'tac1+ V ? Jaaab. L A((At *Pt: Ecb) p:grtOhtr 'gLk)=TovolL OAt/dV+eut' zo "n &|d'L +qC ;5 ?c+)= 4, O c+):5 '-, ' e-Sid* t 'fei?ab'OCd dt+c1 = e-J^ot f [nt1d+' s AL+ca = e-o*f !eo". EdL+c7 _ o -ALr s/qeAL+cJ -v L - 5/a + ce -4b ilnbut L r-o ?aAa taato v>-o mo'ka A?ero@h " J: v/<+ ce'AL o = vlqt c' e-1'o o-- gla*c L'-e/4 I ^t^t -s/q e'4b pzaka, 1 ?ada sao& + adalab t L = b{4 rt{ATEilAru*
  • 9. PA[lIEffir& r**Wr*,(rue il7648/ BAnr6# EEEITVAr4 0994, rc*tY) = X 2yr+41- +6v+Cr UnUU f Y> -t t SaaL { =2 t try1d.lcar, *"1ti4t- q xlrc 2-' C-t), + A. 2z * e. c-12 :C -a +tb-B=Q, 1=C Jadt', lersamaon a(tFeren stodn-/a ada(ah, f z/ )+ </' -1 c) C'/o +zxy *12 )v'. -y2- zf'/ +,X2 '/ f:o t saatL Y=/ C/2+2ry--/")d _ *j2-li s -J -->tY+Fz f _-t? u t -z(y +t'-" )dr. Cf2 *z*v _22) ol| C-Y2* 2t'y +,(, )df - eN 2 *zfy _72 Jclv=OM = C-.U' -z-Fy +rzj + zt4 ru = c-.tr2-.y-,+y; ; * --2Y-eK n-* ='2*l-zY 21.4 _ zP -a- -t7 ?'9 eksak 21 2* FC+.-r) = JMd*+ cCY, =Jc-'12-2t'y + y 7) d r+ c c-/l = _Xyz_x2-/ +t(bXb+ cC-t) -le(an)ut nYa {r=aJ tv/r +rtcv):-Nc t't()2/ - 2f't- xz +cr ty) -- -r2 - 2*Y +12 clCl): -Xa_>xy*y2 +z*-/ +X1 clcl) . Ya cct) = la Yb*c, SehtnlQa r t Ct ty): -yy ,- t'ly + | (Z x z +^lel 71Ct Untuk *-o , saaL ./:l 1aa.ka : -XY' -tua +,(zX7 +,/>-{3 = c -e.rt-9r., t'lo O3+ t(7.t3=C tla - c JaAr', ?ersamaa.o edteeren .f rolnyo qda[orh: l'-x "/2-' x>1 +'lvxb+ 'lz/v= t/z 5Y.74 . l44T'g-.Ha Tt ls4
  • 10. - ruU774AWr{,4W'fKmeAlE44ErB'fi1f6ffi EEILwYf ,l -bf " -() d* t Ct +27 -Xv) d1z-o M-CZY-3X2 l) - N =^Zyzz./ N-- Cl +2-I- Xl) + zv - _ br' 2N =2 N - o.t) t*tZlL:' =2 N _) ?.O Eksark z1 7t t=Cf r-/) = .J $dt I cC't) = tC2t- >t21)At+ cc-t) = *L - l3-/ + cCfl Sel an)uL n-/a , .- { - 0 SN dt t rt (-t) _- N, l*rt):. -0 f,Nan +d C-t); NC *t[)7Y -eT -X) + c( Cy)-- * zy *y3 c'c-t): t+ tl-f 3+x7 c(cy) > l+27 LLn)=.'.l+'t2+Ct S€htn99a r € Ctt-/) =xz-x3Z +y+y2 4ct Qerarnaa"n dl€eren $adrtTq aAaila.b :Y7-fZV + Y+12=C B . -fe[AJar +<a^lah ?ersama.orn dteer en&at ek-satk d.eng617, S'{oLraL babas 1an9 ettber lkan ber[KUu : ) Lz71t+8i dt+LbrLl$+s)olizoi y---t ,saaL y=z O crL {zrt -y>ht = --/ 2 - zra +f,, ) t=o r Soe& y>t J a,aob , ) Cz*-{, +8il d*a Lbt<z-/'+s)dU. O r y= -{ rsa+t *>z ft; l> *17 +Bt) -, q, > a*yz Nr -- ca f ,'tri,g) u * =- 6;u.-/ z 2'l 2* cfrl) '.lu d*+ ccv) =J c 2 *y 7 +gi d,* t- c Cy) : x2-f a+ 4tz+ cCl) Se{an)u€ ^-1a, "ir.:!*1" lcrcv) = Nc/ry)z1 a xlY' +cf CY). brz yr+s ., a( (y?. 3f * 1'+ s - 3x27' clcv] = 5 c cvJ -- 5Y+c, fraTE Nnr[M
  • 11. PAEITEFaffi lfirW'rfim9 ilWdEr Bsftr4ffi EEEIfAArq 1 rt.y6-tt +aY _- -- . cr) + ?OL hsmo9oo ./,t + @1t +g.t =O t (er5 4rn aao ba.nLu (z+6r*e=O 6 rta) c r tb) =o f t =(. 2 2-, + ?enge lasa(ao urvlUrn nOmO get Yh, Cr e-bt * Cz de->'r + Fungsl Percobaan -l -- Ae2'( tl -- L Ae''{ yr( = q, ftezf + Jubstrtust Ke Qersamaao c) 6ttpecO-(eh 4Ae zt I GC2Ae/t )+ E Cftezt) =O>/ 4 frezt + lz Ae'r I g Ae^ =eLx 25Ae'* = €" 294 = I A=) zb + De:ngelesa.'l a'o [.chuSu S- : ye = t(zs Ozf +r [enU elssalan umu m : -/ = yrr IYP ' =L'r|-=*+ cr- fe-bx + t(29e2{ 7. t€(psal l..o,rrlah QeYramaa'n rttFeren{tatl e{sats bertku L I a)- 1zt +t) clr + Czl + *) c(Y.o il. gzr-zrrt)d/ + ct{zv -rz)A-f -o Jota^b'. a) Lzr +rJ d*+ (2-/ + r) dy.o M=CL*+1) -rg =t N=czy**) + =I >tz* 7r'a - Z! p p.O g{qsak 'V'l z x Fcfr-/)=.fMat+cCY, -- t Czr+-/)d r *cLy) =Xa +Xy+ CL1) SelanJ vL^Yor Trn' a.d"t { c I cY) -- tu c r-t 27 X {ct C:) = 2-/ 4* Ll ;l) , z'{ { *-x = 2y c|'l) . -12 *c, Sghr'n 44a , TC rr-/ )-- Vz+*Y{'12+c, f,)ersamaan drfFe ren51'( nY' adathh X2+ XY+12 =C rY) Na r E"{4 A rr k4
  • 12. PAEIZEEIl78,a{'filAFTigIWAWEEIB'$r6&rBEIIfVArq N er m4 4T tlcn b) -f "t+6y ',+ D v, -t, y =o t ?ersormaao b a.otau g?qer, +gr-t2=o Cr-t) cY+4) Cr*>)zo F1:t Vtr=-a V13=-3 + ?en9 ?l€sqtao Llmu m Y ; Ct e t' + Cz Q -4{+ Cze-DK fletod e rG Hornac 5 -t2 1a 7 12 tz +?r *lz:o t2 4 .*. j+ 6 . Je(asal F-ato Qers^maao attferensl at Itnter non hornogeb ocde olU.a lzer tKUb I a) I rt_ b1t { 2-/ = 4.e- * c)1" +6-/'+ q-l-- €2K J aaa,b " ;;'"ir- lv r 4rY - +e"Y ct) +,. ?gL bom} gett :1(r_ b1t + 2y:O + ?<rsamaoro bontv (2-bc*z--o Lf -z) 6r-() =o f r= 2 {'rz= I + p enYe ($ al ao umu rn hom o g 96 th =Ct€zt'pgre{ + Fungsr Qer cobaa'o 1=Ae-{ Y'" - Ae-Y Y'(= le-r r Jub.rtttus( tse Qersamaah ct) owero(eh: Ae-*->C-Ae'*) +ztAe-*) =4 e-'/ Ar-*+zAe-{+2Ae-Y=4€-Y GAe- Y -' z1s''{ bk =4 frt 3 =7b3 'd QengeL€soilqn lchuJus : -{g = Z o-N>v + ?engelesalqo (''(rnum: -l= Yh +Y? > C( ezt + Cz Ot y Llzg-x
  • 13. ruIIZE&tK rfr4fraFri€rW nEqEEI BAild&, &EIITVZr4 b) Z tt-2--/l + y =O i ..l=t dao -{(=Z Saa+ + lOrs a,maao bonbu '- rz -2r +t :o Cr-() Cr-l)=o f t: fz>l + Qenge(esattan urnu m Y cCrel'i + Cz /et + flntutr< Y=l t rnatka: Y=CteY+czN€ 1:Cteo+Cz-Oeo f=Cr*O Ct=! + tln+uf Yl= z , lvtakA: t'= CGt * czyeN Yl=Cr et+ Cczer+Cz*et) -/f : Cr ex + Czer I Cz't€( 2: Cteo+ Czeol Cz.Oeo 2: Ct*Cz-*o 7 :- *Cz Cz = 2-t = I ft^Ka: '?gv 1z Y; Ct€ * + C'Ye{ --e* + *.e'l b . Selesairlao ?ertotm a,to p(1 Ssrgn.cta ( [tn t€i hom,gen ot d€ tlngg I b Zr tkub ' d y rr-4:rrr+yr+ 6v.o g) l"' - Gy tt + byl -12 ..lzo JauJab: r7 rt(- 4y 't I -1t l. Ql :O Qersamaa.o bomLu Y>-4('*r +6=o rletoAv dorns, 1 -4 Lr-z) Cr t- 2r-3) >o Lr-2) C r'a)(f +t) :o l-r;2 Vrr-3 V 13=-1 + ?enlelesalan Umurn Y =c,e"t Czez*+Cru--, f=o r2_ -) 2t L' - =O 2 t+ -/. N4f,e.lU,*rtlc4
  • 14. ruLrffiffi& il/rArOT,fEmB AtWEgr aAnr$A BELfiAZTq 4. Sele(att aoln /ttfer etulolt ltn oeogon 9a^raL babas Yan g dtbettlcao ber tKuU : a) f rl-3'/(+2y =o i 1=o d,an I = z saorb *>o b) .t rl- 2-7l + y =O i y= I olan 1t> z saa& * >o !aoab'. o0 Y"- VY I 1zY=o ? 7=o "lan -{t= 2 gaat r=o ?ersamaan ban lpU : (2-ar*z:o Lv-z )C r-t ) =D f t:2 Vfz= I + fen9 elagatao vlmum Y: Ct€ ,] + C>er + Untuk 't --O, marka " -{ = Cr€ 'r+c z €{ o -- Cte 2'o + C-€o : ct€ o -l-cz = Ct *Cz Ct *Cz >O Ct) + Un+Uk *flrzt tqYa: l= Cterd + Cre* 1t= 2Cr€2r + Cre* 2-- 2 -CreL-o+ CzSo =2 Creo* Czoo >2CtlCz 2 gt 4 Qz> 2 Cz) -* E{t m nas t ?er $amaao Ct) c{ofi CzJ Ct*cz=O TCt *C> >A Cz=-z + JubJlttuJl Ct-- 2 Fg ?ersotrnaa'n CO Cr *cz>o z+cz>o Cz= -z [Yatca : ?DL + /: Cre't*Czev PIArE l,tA r?'1t<'a
  • 15. 7 rutr,fHKilKrfrrAlWigIWATdEEIB/f ,tr4&ISEIITOY4 1. e- JPc-r)dx gSsJPc *-G cr)dt*c1 =e-52^r lkf, zdt . e_s* A*+c3 -- e-^'Cte'u. e-" Ar+cJ =Q -zt f Je-t. a*+c7 =€-2'f-e-r+.J ___e-b* +Ce _zr UntUf 1L=O 't-l=2 1ueFa: -/: *€ -"t + Ce-2y z=-e.-5'o+ ce-z'o /-=--€o4C€o z = -l*C c= z4l >$ Yn 6aVQ . VoLATY=-Q-3*+ 3€-2r b . Sel1sattkao ?ersamaan a{ t Feren f tatt lmear n2'(nog et' ber tKuL : a) -tfi - 5Yl * 6-tzo d) ltt -41t+ tBY ;o Jaoab: ) ytt -b-/ l * 6Y e0 + Qecsam aan ba'ilvu : C2 -gr *6eO cY-a ) cr*tJ =D v.t:6 Vrz= -t A) -/ rr - zl*lt * r3yco + lUrsamaa'D bafitu" t2-4r*t3=o tf^tr2: -bl Vffia 7'A = -Ga) ! =4 ! 7 = z! lfro 7 + Qecsamaa'o U rnurn '/= Creb*4 Cz e-x =4L6i 2 z)z #=z;?r3 ord,e dva Unun.. * cze't slo + fonl e lasalao bx M4 rEM;EI't'k4
  • 16. I PA[,I77KA&fr{4tlUFigmEA,E4EE{6,1Ar6#,f BELlfTlrd 2. -teftvu<a.0 [ah, 0gnuetesaua? F-husuJ dafi ?eysama^n atFer€osrar 1rte,|. orde tabu 6len}ofi rya,re*, bcaa, laog altbo rtVcan bettkuU: a) -/t +v . ('* t s) ' ,1= t , g,za44L I =o c) -{t try : g-5* ) t=o t-/ : z )aucab'- at) -l t*y = C++il 2 ry =l t Saa,L f :o -ll+t-- cl*s)2 ?C*)=t i @Cl ): CtfB)2 -/--e-f,ecDd* tjeJ?cf >dr. &cr )/:tr*c1 =e-ft^n cJerrd*. c*+s) ,o1^t.J ='e' "IJg*- Cf+5), ,'t*+c7 : 9 -'E -te * C*'+ to r + 7s) d*+c1: Y 'E_[e* C*.+ tc Je /C x=+ ror + 26) Al /t€erenst aVan $Eeqrakao E Lrr*toy *z>)ex- Czt+o)Q{4ze* y= 9-r [ ( v"+tox *z s)et- Cz**to7e *4zex{c J = Clz +(Ox t zS ) - (z** tO) -t 2 + c e-x = x2*tOx +zE - z r-to tz tce-x : X2+ 8l +r7 + c€-x (ldoUt< Y=l , Saql, f.O ryy762tcA: Y = X2+dr*t7 +Ce-r !. =02+B.O+tl+ce-o l= lr+c C=l-17=-lb lYatsa .- ?OL )? Y: Xz+ 8x+tr -tOe-X c) 1l+ zv = e -3x '-/l*zY=e-3x i r(=Q 'r7=2 QCv)=z ) Ocf) =e-3x K A* X2 tto f, tzs C*) ex z*1 lo C, er z C{ e{ o eY
  • 17. pa0rTaffir&n&raav4gtr?tla6a&r&4ffA&rBELrwArd bes r 1- b La+lt'an Soa.t t. .9et€sat tsantah lersa,maolo ,(r$erenStal of de sotLU bAr thu{" ' a) -lt-ba -- zle+* b) tt- 2-l = cos 5/ JauJab, d 1t -z'/ = 4€3t' '?c*)=-3 iOCf)=4e*' y:€-l ?cr)ol, ["te sPc*)d*.Acil dt+c1 -- e--l- za, fj. t-e d*. a er* "lt + c7 = €3* r J-e-3x. Aezr a* +c1 =Qb*lqSAr*cJ =e?rf4{+c1 =4fe5r+ c'€3x b)-/'-aU-- Cos 5x ?C*):-z ) OCf): CoJ 5K -{ = €- Set*:dr I fe.rp cidr . ACr) dr*cl -- e - f-zdt fr* J- '^' . co* c sr) ot *+ c J =Q2 *[ je-". cos C gt) d ftc] - o2f r e-zt' v 175fi,f -, .r" g * { 5 rrD s*) +c7 o)uC- 2co.$ sr+5stn sr)+c'€'t = -h czt tn *A srn Bx + ce ar