ers.tmqae di6g***t,tt- Lru." onCe sq,tu 3
),
e
e
?1,
Y=
-3_:dr
[- fu.
=*ftt-=*''
3X
Zl.U I
te ar +cJ
to,J
1
Ix
Br
7o
"tr
.).
f,-3d
.3)
1e
=e3*foSa"*eJ
: ee* f +* *eJ
o {xe=*+ c..a*
ffi 7'- *7 I cos sY
?G) , A(x) =cossx
t Jg.lt*' cos 5x'1" +eJ
- -n*o-,
-
7 :n
<.
ax
ax
fffi(,-'qe qx * 9 :irr s")+ cJ
u."n s^) tc,r**
[{:J'
fu t- Ac,* qx* e
-qY'ben
P[x) = -9, &[r. "be*
/ -- e'* fi. -5* '
.ee*dvt.J
= eQ* Li u{** cJ
,
+"7"
+ ce'*
'- lt =ct(t {x1
PCr) =-?, &.Oc) ,qltralX
'Y - ** t-r"-I'C*'" {x d,rc) n .J
= e r*
[ i:ffi, [-+ oto {x-{ c-os <*) * {
e ! (.t *to{x-{ e* 1*)tceil0e
7 " (rt EY J =t ,caa+ F tc2
?'t^)'r, o-lr)"t*ts)'
y : e+ ( S
"" [x +g) "A**"-1
' - g-* f"tf*ie)i *{**s)'-to}e]
. e-tsCe^[^*.. gxt t+ ) t.]
= tF"* sr+t1) t ce-*
Y=t saat Feo
y = fxz+ Brr q1 < ce+
lr/l'f
t* e-y =el$ , F'o ,/= eq
?Lr)=e, o.(7.),s-Sx
7 ; ,-axff".*"-.:
" e-# [e
Fdr
n.J
, e-uk-*n
"]. -g-
t*
* au-t^ ,
T.a, sqal+8"o
Y = *-at -t a"-t*
{:-t*C1= (ftt0
e *-t*t t
e -4b : Y= txa*8 >rt?) + Gts) dr
L-5 -?,c
Por-: J=-e" t
t'
Wl" - 3Y'+ a7
"6 , y=o , Yt=*,saatr.uo
tb = f =- 3c,r 1=cl
tc - e) [.-r) "o
fr, tVC-=1
tSaa"+Y=o;F=O
--'G)
m gY t'
' 21y'+ tay =c,
9t'-21c +16=0
(4.-{)t3r-{),o
s, . 7/3 Vr, = 1/z
J = u"*/zr * ca v.eYsr
.2 =9.Gttce- -;-.&)
C-ttcl >O dc,-Tc2 =ep-Ct*Ca=O  a-tcl:6
-c-r =-5- ) c-z=-2
ci =; _-/ /=re'*I-2e*
LhiJ"-27t n7 -- o , 7= 3- , 7'o 2-, sq441
Pb = .'r-r.r+ r 20
' L.-.')Cr-t) =o
r S i, o{-= t i P = t
J' c.eF cog F t c=a
* *n r
7: - 1Y' * t3I =o
t- -{c < tts :o
Cr,6l-" 4t{1@
-
= tg_s.L
- -_atEi,d: eie"s"[ = C* a'* co, JFt c2pz* rin Bx
Yt , a. ce'Y
i = c,et*
0 = Lr +
/t'2 ''
j"^-ql* 6'l =o
'F'4-9c* L =O
t.-a) t.-*)= o
ct:3V.*'a
7, c,"t** c.eo*
Ct.!-sl
T = C..r t Ca ).e*
Y' =c,ets t Ca-..riF
)=, dan ts=o
[. = c.g o
t cro €"
I .cre" t cze"
J- F4rtCe
7 :t * Cz
.a*0 r ea
7_'-tytn *T +p
f - - ac t a. = O
*
r)r
Ca-g *
re
a€
C)
+
qt
-C;
t
2)a
t
+
Ca
v
z
e
C.ra. *!$
- &*- Br
F:o
Y =e*+ en
i JEF
( r-a) lrt z) -s
cr" g Vea e -of
Y = cre 3* + c1 .-rx
Yt = 3c, e3*- :- cee-r*
sqq* Fr O, YtO
o'=l crtcr - [t)
Yt, I , saa/- F;D
i'-- 3 C-rs3r-Zca€*
[ = 3Lreo-LCz-€'
t -- 301 .-rCq-.(.)
7 = C, e
-{r -t Ql rc e-tx
ytr *{c,e{* nleze:*<Y
Sqal' y-_O r T--O
7: cte'1x+ c-r-F"-{F
6 : Cr e
o + C,p o . go
Ct*Cz "O lf 3
3u *2cze r lr l
3c-t t 3C3>9
7c-r - 2f-2 a I
ffi (ay /d")'- a(,(* /a*) t sy =o
il:i Y"*8y'n tLY = o . Y'
?b = r2+ Br + i6 = o
t L.+<) (-rt4)=o
(,.a'-1
o : ct
fb ' y'- 2f't 5 =@
{-t ra = {t{1
T
I r tgi
Y r c{e(
"r, e-F .( c-a ets it.l a-tc
I
Y = - Pc-t er 9tn 2rc t a c> e.8 oos a-x
7 :0 sa*t t-O .:
O 3 & e.
o
cos s-(o) t Cr
"or..t =(o )
0 =ct
Yt :r rF=O
[ =. -; cteo vin r/o)t 2cz eo c-o9 a6o)
[ : 9-c1
iC:- : t
cz- ' t/a-
-/ : Taergin J.x
Sqza t
az=lg
C-t 't4J oO
Cr lF *f5 uo
Cr t -19
Y r -Y5e3* *'[Eet^
;2 .Tto t ; tqq* F>O
Sqa+ Y'= t , Y >t2
Y
'' -{ ct e-a?& - lcze n-
; , -1cre" - 7cre"
r : -fCr *4Cz
Elrvunat:i Ct = o
-lC;*{C-r=t
-aLo) - 46ed, . (
cr = -/a
y=Yqle-rx 't
/^
5 ih Y'l -{Y" oY'+6} s-6
f"-qi^tc+6 --o
' ? Jo-P
Lr-,) tri?r+ta) =O
-{ t l'
a -4-{. +
t. -r) t.=- =-c - =) = C>
Le-a) Cr-3)Cctt)=o
ft=& 1Cz='3.C3=-l
Y = c, e2* + czes'* g.a.-*
ffil'l n 6't-'t e7'-t*Y =Q
ro t 6c'+ gc - ta. =C)
tbq-r?_
t ,*. tat
lE-r"j *
"y"--.7' -By ae
Co + 3c'--bc -B =g
f.+ t) fr'+ r.c -B ) = O
Cr*. ) C ct q) Cc -r) ,- O
=-t , t1 ---{,ca-- 1
y E ere-rt C.d'{c."t*
EI y']- r-r'i o?y --o
I. '- [2-c'+ z[ =6
gtt o -a o aT
I e g -s-2-lt--lJ
t 3 '7 '9 .e-
Cr-a)Lc3+ e"*-Br-9) =o
Cr-3)L"rt g) L.t- g) =O
y s c*e 3't .o- e-t1 ca eosrllxlu
c4 9t(1 -.1 :f
-t
0ro
tn-,)Lc+rr)Lrra)=O
C,=l , rCr=-4, fb=-J Ct: 3, ra-= -3 .C3--rfA,cq={i
Y, C,er tCee-t**C=d3*
"/" - 3y'* ay E {e-*
PDL nocvtogeo ;
'T'l -aY'try'o
f-- 3r+ a:O
Lr- t) C.-a) _o
FrL {fz=z ..
p u' hoeoogen
Yh " C-rar-t ca-eLY
$o3ri [e-reotaoao
Y'Ae'
Vl' -Ae-*
l- ';'-"
Ae -t- 3 {oae-*) t z(ae ) =4e-F
A- = yL ,yz
?' "/v = t/Ee-Y
[+U"tesd,an
qtutm
' 7' 7t'L:/P
| = ;, e- i'c2u"* o ^/r{'
v'
q
fflyu + ay I -_ cos &y
L2fot d*g.o'/+*'71 =6
c- tacro/
c tc + a)= O
t--
r a; -{lf -a
,_a!2
---fr---t+tet1
' C1:*t-t::-{
PU = Yh; c,r t Ca-e-*
tungo' ?;:t*,'ax t b Eio sxIt
7..= -24 *ro aK + €rScc,* ?x
-{ & cbs e*,.- u-{:=;J-t-:? rT;f ;1S; = Gr 4 $n,x, aeo6j,,.
;[Sfri?.,-,,
| +48 - t
a
{B ' l-'/z
nb , t/z
u=yB r
r ' 't1a cos ax + Ya so tlc: , -
tq" y=yl,r.ye
>cr c-os.rli t Clrtn{z *tfg u" ar-t tfg $i'Lar
iElY"+6Y'+ay = s4
Lr ,pr, ;o";4€ft =
i.:Sll;):,f.-rL ='; j . I
7h=ae*3*r ca^"'u*
Fng* {eceoboan ' y,:ii:""=: .*) .
y" -A(r..1e^**a"=*)
p(r.qea o-..h) t e ,* r.1"** Ae=x+ g (a*e*) ' e-Y
?akeB -- eo'
A -- Ya.
[u = Y:
I,1:.ll ** e 3* + yt>tseqr
-1A+{b:l
-4* -4.E^ --O
+
-B* aJ
-t , -t/&
fil7n*Y = ear-s1w
Pout{o.*q".:crra> g 7L
 _ __
Jv
T
- A 5 cos tc - B e s,trr-F + Ag eos > e B gs,tn.X E g sin g
Yh ?- cr cos *. 21 1,.,r.
t*"gr; l.*baart r 7, ",,4 ,$Xos x * b q ?ia >
iti-e elt(Fi gq Garzp
ftt: -hscosx -bq e((x(
Y? 'o
* Ct caS K +" C-:. s,irl F
E Yt' -tY' + ur/ = ser
'?DL to.noqen - c-- t" t (e. : o
7h =iC,,e.3** Czg{*
T""g.^ frcobaaa =
U,: :;:;.
-ltt " o',*""n
?qAeu**+ [g *r'*)+( L*e'") = e'*
p-q he-e2P - Sgeett a- &e'*
'.
= seY
-B*eQF = geY
= -ya ee*
=t'Fur tp
: LtesFt+ cre.ttsrf ya,.r)
t/
A =- /B

Matematika bab 1 mutiara

  • 1.
    ers.tmqae di6g***t,tt- Lru."onCe sq,tu 3 ), e e ?1, Y= -3_:dr [- fu. =*ftt-=*'' 3X Zl.U I te ar +cJ to,J 1 Ix Br 7o "tr .). f,-3d .3) 1e =e3*foSa"*eJ : ee* f +* *eJ o {xe=*+ c..a* ffi 7'- *7 I cos sY ?G) , A(x) =cossx t Jg.lt*' cos 5x'1" +eJ - -n*o-, - 7 :n <. ax ax fffi(,-'qe qx * 9 :irr s")+ cJ u."n s^) tc,r** [{:J' fu t- Ac,* qx* e -qY'ben P[x) = -9, &[r. "be* / -- e'* fi. -5* ' .ee*dvt.J = eQ* Li u{** cJ , +"7" + ce'* '- lt =ct(t {x1 PCr) =-?, &.Oc) ,qltralX 'Y - ** t-r"-I'C*'" {x d,rc) n .J = e r* [ i:ffi, [-+ oto {x-{ c-os <*) * { e ! (.t *to{x-{ e* 1*)tceil0e 7 " (rt EY J =t ,caa+ F tc2 ?'t^)'r, o-lr)"t*ts)' y : e+ ( S "" [x +g) "A**"-1 ' - g-* f"tf*ie)i *{**s)'-to}e] . e-tsCe^[^*.. gxt t+ ) t.] = tF"* sr+t1) t ce-* Y=t saat Feo y = fxz+ Brr q1 < ce+ lr/l'f t* e-y =el$ , F'o ,/= eq ?Lr)=e, o.(7.),s-Sx 7 ; ,-axff".*"-.: " e-# [e Fdr n.J , e-uk-*n "]. -g- t* * au-t^ , T.a, sqal+8"o Y = *-at -t a"-t* {:-t*C1= (ftt0 e *-t*t t e -4b : Y= txa*8 >rt?) + Gts) dr L-5 -?,c Por-: J=-e" t
  • 2.
    t' Wl" - 3Y'+a7 "6 , y=o , Yt=*,saatr.uo tb = f =- 3c,r 1=cl tc - e) [.-r) "o fr, tVC-=1 tSaa"+Y=o;F=O --'G) m gY t' ' 21y'+ tay =c, 9t'-21c +16=0 (4.-{)t3r-{),o s, . 7/3 Vr, = 1/z J = u"*/zr * ca v.eYsr .2 =9.Gttce- -;-.&) C-ttcl >O dc,-Tc2 =ep-Ct*Ca=O a-tcl:6 -c-r =-5- ) c-z=-2 ci =; _-/ /=re'*I-2e* LhiJ"-27t n7 -- o , 7= 3- , 7'o 2-, sq441 Pb = .'r-r.r+ r 20 ' L.-.')Cr-t) =o r S i, o{-= t i P = t J' c.eF cog F t c=a * *n r 7: - 1Y' * t3I =o t- -{c < tts :o Cr,6l-" 4t{1@ - = tg_s.L - -_atEi,d: eie"s"[ = C* a'* co, JFt c2pz* rin Bx Yt , a. ce'Y i = c,et* 0 = Lr + /t'2 '' j"^-ql* 6'l =o 'F'4-9c* L =O t.-a) t.-*)= o ct:3V.*'a 7, c,"t** c.eo* Ct.!-sl T = C..r t Ca ).e* Y' =c,ets t Ca-..riF )=, dan ts=o [. = c.g o t cro €" I .cre" t cze" J- F4rtCe 7 :t * Cz .a*0 r ea 7_'-tytn *T +p f - - ac t a. = O * r)r Ca-g * re a€ C) + qt -C; t 2)a t + Ca v z e C.ra. *!$ - &*- Br F:o Y =e*+ en i JEF
  • 3.
    ( r-a) lrtz) -s cr" g Vea e -of Y = cre 3* + c1 .-rx Yt = 3c, e3*- :- cee-r* sqq* Fr O, YtO o'=l crtcr - [t) Yt, I , saa/- F;D i'-- 3 C-rs3r-Zca€* [ = 3Lreo-LCz-€' t -- 301 .-rCq-.(.) 7 = C, e -{r -t Ql rc e-tx ytr *{c,e{* nleze:*<Y Sqal' y-_O r T--O 7: cte'1x+ c-r-F"-{F 6 : Cr e o + C,p o . go Ct*Cz "O lf 3 3u *2cze r lr l 3c-t t 3C3>9 7c-r - 2f-2 a I ffi (ay /d")'- a(,(* /a*) t sy =o il:i Y"*8y'n tLY = o . Y' ?b = r2+ Br + i6 = o t L.+<) (-rt4)=o (,.a'-1 o : ct fb ' y'- 2f't 5 =@ {-t ra = {t{1 T I r tgi Y r c{e( "r, e-F .( c-a ets it.l a-tc I Y = - Pc-t er 9tn 2rc t a c> e.8 oos a-x 7 :0 sa*t t-O .: O 3 & e. o cos s-(o) t Cr "or..t =(o ) 0 =ct Yt :r rF=O [ =. -; cteo vin r/o)t 2cz eo c-o9 a6o) [ : 9-c1 iC:- : t cz- ' t/a- -/ : Taergin J.x Sqza t az=lg C-t 't4J oO Cr lF *f5 uo Cr t -19 Y r -Y5e3* *'[Eet^ ;2 .Tto t ; tqq* F>O Sqa+ Y'= t , Y >t2 Y '' -{ ct e-a?& - lcze n- ; , -1cre" - 7cre" r : -fCr *4Cz Elrvunat:i Ct = o -lC;*{C-r=t -aLo) - 46ed, . ( cr = -/a y=Yqle-rx 't /^
  • 4.
    5 ih Y'l-{Y" oY'+6} s-6 f"-qi^tc+6 --o ' ? Jo-P Lr-,) tri?r+ta) =O -{ t l' a -4-{. + t. -r) t.=- =-c - =) = C> Le-a) Cr-3)Cctt)=o ft=& 1Cz='3.C3=-l Y = c, e2* + czes'* g.a.-* ffil'l n 6't-'t e7'-t*Y =Q ro t 6c'+ gc - ta. =C) tbq-r?_ t ,*. tat lE-r"j * "y"--.7' -By ae Co + 3c'--bc -B =g f.+ t) fr'+ r.c -B ) = O Cr*. ) C ct q) Cc -r) ,- O =-t , t1 ---{,ca-- 1 y E ere-rt C.d'{c."t* EI y']- r-r'i o?y --o I. '- [2-c'+ z[ =6 gtt o -a o aT I e g -s-2-lt--lJ t 3 '7 '9 .e- Cr-a)Lc3+ e"*-Br-9) =o Cr-3)L"rt g) L.t- g) =O y s c*e 3't .o- e-t1 ca eosrllxlu c4 9t(1 -.1 :f -t 0ro tn-,)Lc+rr)Lrra)=O C,=l , rCr=-4, fb=-J Ct: 3, ra-= -3 .C3--rfA,cq={i Y, C,er tCee-t**C=d3* "/" - 3y'* ay E {e-* PDL nocvtogeo ; 'T'l -aY'try'o f-- 3r+ a:O Lr- t) C.-a) _o FrL {fz=z .. p u' hoeoogen Yh " C-rar-t ca-eLY $o3ri [e-reotaoao Y'Ae' Vl' -Ae-* l- ';'-" Ae -t- 3 {oae-*) t z(ae ) =4e-F A- = yL ,yz ?' "/v = t/Ee-Y [+U"tesd,an qtutm ' 7' 7t'L:/P | = ;, e- i'c2u"* o ^/r{'
  • 5.
    v' q fflyu + ayI -_ cos &y L2fot d*g.o'/+*'71 =6 c- tacro/ c tc + a)= O t-- r a; -{lf -a ,_a!2 ---fr---t+tet1 ' C1:*t-t::-{ PU = Yh; c,r t Ca-e-* tungo' ?;:t*,'ax t b Eio sxIt 7..= -24 *ro aK + €rScc,* ?x -{ & cbs e*,.- u-{:=;J-t-:? rT;f ;1S; = Gr 4 $n,x, aeo6j,,. ;[Sfri?.,-,, | +48 - t a {B ' l-'/z nb , t/z u=yB r r ' 't1a cos ax + Ya so tlc: , - tq" y=yl,r.ye >cr c-os.rli t Clrtn{z *tfg u" ar-t tfg $i'Lar iElY"+6Y'+ay = s4 Lr ,pr, ;o";4€ft = i.:Sll;):,f.-rL ='; j . I 7h=ae*3*r ca^"'u* Fng* {eceoboan ' y,:ii:""=: .*) . y" -A(r..1e^**a"=*) p(r.qea o-..h) t e ,* r.1"** Ae=x+ g (a*e*) ' e-Y ?akeB -- eo' A -- Ya. [u = Y: I,1:.ll ** e 3* + yt>tseqr -1A+{b:l -4* -4.E^ --O + -B* aJ -t , -t/&
  • 6.
    fil7n*Y = ear-s1w Pout{o.*q".:crra>g 7L _ __ Jv T - A 5 cos tc - B e s,trr-F + Ag eos > e B gs,tn.X E g sin g Yh ?- cr cos *. 21 1,.,r. t*"gr; l.*baart r 7, ",,4 ,$Xos x * b q ?ia > iti-e elt(Fi gq Garzp ftt: -hscosx -bq e((x( Y? 'o * Ct caS K +" C-:. s,irl F E Yt' -tY' + ur/ = ser '?DL to.noqen - c-- t" t (e. : o 7h =iC,,e.3** Czg{* T""g.^ frcobaaa = U,: :;:;. -ltt " o',*""n ?qAeu**+ [g *r'*)+( L*e'") = e'* p-q he-e2P - Sgeett a- &e'* '. = seY -B*eQF = geY = -ya ee* =t'Fur tp : LtesFt+ cre.ttsrf ya,.r) t/ A =- /B