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I' fecsam^acto J',6;ereosirrU t rruiec Or-de satu i
a. Y' ' 3'/ = 1g3*
irt.l , -^?. ., & (x) : 4es*
i = *-':*'*tr."*n"^'" ob) d* * c)
= e'f''^'fTr*o* Ae'* d*;] ,
= e'* LJ*-'^ . 1e* d* *.-]
= e'* [q Sd* +c]
et* [ 4x+c]
= lrLeo* + ce3*
b.Y'-:.) = cosbx
P(*) =-'a , A(^) = cos>>t
y ' = e-f,rG)d. lJ.rue)dr. o.tx) a* + cl
= e
**d*
tJ"'r-:dx . c-osr* o d3
lf?a-JL
=s+ [f.-].c-oss*+{
= e
*
L-$.{6y, (-r c,os er r s si,.
=* (.-z cus 5x + gsio sx) + ce^*&q  -- -v' ''
c. tt-"5"1 : be*
ft*t ='-5, &tx) =LJ
) =
u-t'-*)dx I J"':":* . &t*)d" + {, '=
e_f_sotx
f S"
dgd,, . Le* * .]
5tra*
=€-' LJ"t* be**.]
z e'* C+e-4' * .J
= tr"*+ .e 9* I'
d. )t - 7'l = sio 4x
'
P(x)': -1 , ACx) = ein x
1 L *-:t:.1o. Is"ill'd* ' a*)a* +c],
= e-f-zd* 6 S"r-ld* sia 4x -J
-- e7*
t7$} F7 sia {x - { aos 4x)
- t /-z <in A, a
- 6s.. 7 sio {x -1 Los qx) + Ce7*,
u*) *.J
- c11
'i)
:i:,--:.ffiffiE!@
b. gytt -^iy' * t6,7' :e' -
9ct - 4c + le ' :'Q
tl:
:!rl::'t =o
) -- 'c'
"lltr
1 czif *ah( '
!
;..". --
c,. Y
tl
Iz
C, , &
ot
Y
J. Ytl
i,.
rr
LY t"
t .47' "",."Q
:
&r tr- to
=rt{F-8 ,
l.*
= 2*- LL__.
-.f
= I *.{,. .,
= I',9= !
r,La
:
- 1Y':* t5Y i
-zlr * t3, f
1a = {Hry.,
' 4 L oL:
=T
:e-!3i
=.f ,g'-3
: ct g^* cns 7;e +
2"x
cz &* St(t 3Y
1-I
;i-
g
-t
7
1. a'Ytt - 3Y'* *7 =Q , :)i Y=o .Y'= 2
Persarnqrao' trc&15qt i 'rt- -.3f it' ;ii . O l
t ,tr- z)(re t)-=,6
>o aO
- t')
,'l-.O
'(.)
-t
b.)tt -*Yt*Y , Y=..1- ,-l '=* tuo& y=o
fengelesaiao tlwtum = (^-zc rr :e j j.
[r-,) (r-,) ze
(engelesoiat il*unl-
rt ,e ' .L .- --r',
Y '- cr e* t cztrer
t't=cre| + ca-.e*
Y eL da*f =o
-t = cr :. .r'-,. (l), " ",
-t
Y -- 2 r X =@
J. = Ct + Ce, ._:.
a=l+Cz'
I -,-? 92
. , Y --.o, ,.Yi" t , Saau+ F -O
= r'2 - r'- 6 =O
(,r.-a)(.rr) =o
.l-r=EV,rl =-Z'
Y z ct€S*+ ce-e-z*
)', Zuer*-a-cz4--zrL
Saab fzQ ,y=O
Y:= ! saab F=O
J': 3ctu1'*-,* cze-Z*
t := 3 cre 9 -ti& 6,zeo
t.tgcr -*ca. .(.)
5c.+5Cl:0
3er - *ca : t,-
-- - ,:CjL =+
CrtCa >O
Lr t! -_O
Cr r-l3 1---+.'* t*e 2L
pngetet aatr tlmurn
e. ( dy lA""
l-
D
D
(engelesct,ao
o , J'='2' .- Y'' =
'. l-'t:Br +'lb =
L.+ a)[r*a) ,'
fr , & = -) ' -
'Saat >< =,D:
i
Y ' crgF @s 2x + Czg* sio 1.*.'
i t ; -g.crex sirt ar r ACz ex cor a.x
+ =o saat 'b =Q
b : c.eo cos qk{")*'ca.'sio, r&)
O : Ct.i - ,.
1 ; -a.r@.re
o"'Eio
a [o) + z cz"o .o, e.(o)
.l- z 2.cf
?cL = .t-
tl
-a =E
Y," '{,g^sirt 4r l
-"1
(c-*) tt-3)t'1,')ao
F,
"i*, Vc"3- :ra V fv z'l'
Y , c," *f *.,c1'e5* t, c3 .-*
b.7"1 n b7"^ r 5Y'- raY =Q
rt + br-' + 5c - ta*. 20
l,
t -, ) [."* 7r r ,.) =p
[.-,) (.*4)t.l 3)=o
crzr V.a:-a'Vcs':'--B
I = ot €r-,-* c:e-t* t ca
"-"C.Yttl +3ytt 6Yt-SY =f)
'r3 + i.'-.b'. -B :-Q
3
-l
I
k*, )
b*n )
Cr:t
Y ,C-t?-* tcfea*t c=il
l.l -'tl.^i if, roo
I o -la o L7
t
(r-E)
(r-a)
(.'* 3r^ -3,
(r*b)[. 1-3
T,;5V r1 ,-3vrr={Z V.a={T
Y = C,e3' t cae-3* +li cr cas(E + cq sta rJS
-6 -.B "
*2- I +
6, a, Y,,_
?D'
f*got.roto.. tl*."uc ' : Yt'L ''
-CreY + c*eax
p*getetqtart Khrrst{r
?*Uu,tsaian
Umurn
,'l ? =
tY'u
= {e-x
: 4e->
={
_4 2;*3-
6B
z e'73
7h +YP
Lre*+'co"=***.-*
=O--o
=Q
I
c
b.Ytt *&J' = cos e-x
Pot
Ho mosen ,
Tl I il'
r tcr a)
t -zr rl':i6
=-+Cr z-L+.il =O
0a = -3+-L a-2'
?tq$rlnra.iao urnurru r Ytr : 4r * cr_ e-u :
Y' -- -LA gtru aX + aB cos :l.,X
t- : -{ Acos }X-4e*ca;.
{A co: ar - to rto .rx)* * Cl A crrr. 4x + .lB cos a.x)+ e GzAgict ax+ {s*o)
-4A* {B= !-
.-4A _ {.q=o. t- BA =;1,
A=+
'p*u"t.raian Khusus
?*getesa,an
U*u,o,
'' -1* t{g;d
-1(+)r 4s = r
'lz t10 =l
, {g .r/-
. b '+
Yf = -*-cos r-x t J6 s..l- e*x
7 = YrL *Je
t = Q 4s Ja + a:i.. rli -fu cos 2x*t on
:x
"-c.Y"*6yt19y=e=F
a.z Ae*Y
?*g.l"ro.'i,... Khusus ..
]? = b Fezx ^.
f""uausotian d,curn'
i : i:I4u.2.tse-3y +
ax
=Q
- o8X
:j;"
raE
'xe2b'
A, J" + -l = b sro 5x
P,t Hotnogen: c'tc =o
r. , { +€9
.r = ti
?"^rJt,.roriacL um-urra r ykL = ct qt >1 t c.r st61 X.
fogo {erco"rrc.a-ru zl ? *5eosrt699rr-r<
it =-fl e:iru:ot Bg crr5>.
-A E cosr - 6 5e&1-, Y*"
i ll;":i- 3;;[:
(rry"esa-ian Khusus , yf = @
?oqrnrqiarr Urnurn '.
.Y
-:
Ih +-/?
,: Ct cosx + Ca 9ia X
Ytt -7't 'ttry =e.eX
?OL flomogen = .r2 - 7c + ra- :o
L.-,r) (.-:) =o
fr=4 V.*,=3
?enge)etuia;- rf,$.1uorL * Y! = cte{x + cre3*
f*n"U [e-r,coooran
, 7. = $g5Y
y, = SAeEr ._
*
u -, ,gAeSY
Lcreesr-7(gae?*) t .a'tlut*) = eaY
eqxe9* - bgkeE-* + ta Ae EF = g5x 'r;
-B *ee|' = s9Y
A=+
?enuet.t".io,t- 'l( '-}u'*
Y = YhtY?
=
ct e4x * cae3r+
t+ {)
?g^,aAesaian
= 5 e.in gX
e.
Kttusrts
tlrnu<n

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Matematika bab 1 della

  • 1. I' fecsam^acto J',6;ereosirrU t rruiec Or-de satu i a. Y' ' 3'/ = 1g3* irt.l , -^?. ., & (x) : 4es* i = *-':*'*tr."*n"^'" ob) d* * c) = e'f''^'fTr*o* Ae'* d*;] , = e'* LJ*-'^ . 1e* d* *.-] = e'* [q Sd* +c] et* [ 4x+c] = lrLeo* + ce3* b.Y'-:.) = cosbx P(*) =-'a , A(^) = cos>>t y ' = e-f,rG)d. lJ.rue)dr. o.tx) a* + cl = e **d* tJ"'r-:dx . c-osr* o d3 lf?a-JL =s+ [f.-].c-oss*+{ = e * L-$.{6y, (-r c,os er r s si,. =* (.-z cus 5x + gsio sx) + ce^*&q -- -v' '' c. tt-"5"1 : be* ft*t ='-5, &tx) =LJ ) = u-t'-*)dx I J"':":* . &t*)d" + {, '= e_f_sotx f S" dgd,, . Le* * .] 5tra* =€-' LJ"t* be**.] z e'* C+e-4' * .J = tr"*+ .e 9* I' d. )t - 7'l = sio 4x ' P(x)': -1 , ACx) = ein x 1 L *-:t:.1o. Is"ill'd* ' a*)a* +c], = e-f-zd* 6 S"r-ld* sia 4x -J -- e7* t7$} F7 sia {x - { aos 4x) - t /-z <in A, a - 6s.. 7 sio {x -1 Los qx) + Ce7*, u*) *.J - c11 'i)
  • 2. :i:,--:.ffiffiE!@ b. gytt -^iy' * t6,7' :e' - 9ct - 4c + le ' :'Q tl: :!rl::'t =o ) -- 'c' "lltr 1 czif *ah( '
  • 3. ! ;..". -- c,. Y tl Iz C, , & ot Y J. Ytl i,. rr LY t" t .47' "",."Q : &r tr- to =rt{F-8 , l.* = 2*- LL__. -.f = I *.{,. ., = I',9= ! r,La : - 1Y':* t5Y i -zlr * t3, f 1a = {Hry., ' 4 L oL: =T :e-!3i =.f ,g'-3 : ct g^* cns 7;e + 2"x cz &* St(t 3Y 1-I ;i- g -t 7 1. a'Ytt - 3Y'* *7 =Q , :)i Y=o .Y'= 2 Persarnqrao' trc&15qt i 'rt- -.3f it' ;ii . O l t ,tr- z)(re t)-=,6 >o aO - t') ,'l-.O '(.)
  • 4. -t b.)tt -*Yt*Y , Y=..1- ,-l '=* tuo& y=o fengelesaiao tlwtum = (^-zc rr :e j j. [r-,) (r-,) ze (engelesoiat il*unl- rt ,e ' .L .- --r', Y '- cr e* t cztrer t't=cre| + ca-.e* Y eL da*f =o -t = cr :. .r'-,. (l), " ", -t Y -- 2 r X =@ J. = Ct + Ce, ._:. a=l+Cz' I -,-? 92 . , Y --.o, ,.Yi" t , Saau+ F -O = r'2 - r'- 6 =O (,r.-a)(.rr) =o .l-r=EV,rl =-Z' Y z ct€S*+ ce-e-z* )', Zuer*-a-cz4--zrL Saab fzQ ,y=O Y:= ! saab F=O J': 3ctu1'*-,* cze-Z* t := 3 cre 9 -ti& 6,zeo t.tgcr -*ca. .(.) 5c.+5Cl:0 3er - *ca : t,- -- - ,:CjL =+ CrtCa >O Lr t! -_O Cr r-l3 1---+.'* t*e 2L
  • 5. pngetet aatr tlmurn e. ( dy lA"" l- D D (engelesct,ao o , J'='2' .- Y'' = '. l-'t:Br +'lb = L.+ a)[r*a) ,' fr , & = -) ' - 'Saat >< =,D: i Y ' crgF @s 2x + Czg* sio 1.*.' i t ; -g.crex sirt ar r ACz ex cor a.x + =o saat 'b =Q b : c.eo cos qk{")*'ca.'sio, r&) O : Ct.i - ,. 1 ; -a.r@.re o"'Eio a [o) + z cz"o .o, e.(o) .l- z 2.cf ?cL = .t- tl -a =E Y," '{,g^sirt 4r l
  • 6. -"1 (c-*) tt-3)t'1,')ao F, "i*, Vc"3- :ra V fv z'l' Y , c," *f *.,c1'e5* t, c3 .-* b.7"1 n b7"^ r 5Y'- raY =Q rt + br-' + 5c - ta*. 20 l, t -, ) [."* 7r r ,.) =p [.-,) (.*4)t.l 3)=o crzr V.a:-a'Vcs':'--B I = ot €r-,-* c:e-t* t ca "-"C.Yttl +3ytt 6Yt-SY =f) 'r3 + i.'-.b'. -B :-Q 3 -l I k*, ) b*n ) Cr:t Y ,C-t?-* tcfea*t c=il l.l -'tl.^i if, roo I o -la o L7 t (r-E) (r-a) (.'* 3r^ -3, (r*b)[. 1-3 T,;5V r1 ,-3vrr={Z V.a={T Y = C,e3' t cae-3* +li cr cas(E + cq sta rJS -6 -.B " *2- I +
  • 7. 6, a, Y,,_ ?D' f*got.roto.. tl*."uc ' : Yt'L '' -CreY + c*eax p*getetqtart Khrrst{r ?*Uu,tsaian Umurn ,'l ? = tY'u = {e-x : 4e-> ={ _4 2;*3- 6B z e'73 7h +YP Lre*+'co"=***.-* =O--o =Q I c b.Ytt *&J' = cos e-x Pot Ho mosen , Tl I il' r tcr a) t -zr rl':i6 =-+Cr z-L+.il =O 0a = -3+-L a-2' ?tq$rlnra.iao urnurru r Ytr : 4r * cr_ e-u : Y' -- -LA gtru aX + aB cos :l.,X t- : -{ Acos }X-4e*ca;. {A co: ar - to rto .rx)* * Cl A crrr. 4x + .lB cos a.x)+ e GzAgict ax+ {s*o) -4A* {B= !- .-4A _ {.q=o. t- BA =;1, A=+ 'p*u"t.raian Khusus ?*getesa,an U*u,o, '' -1* t{g;d -1(+)r 4s = r 'lz t10 =l , {g .r/- . b '+ Yf = -*-cos r-x t J6 s..l- e*x 7 = YrL *Je t = Q 4s Ja + a:i.. rli -fu cos 2x*t on :x
  • 8. "-c.Y"*6yt19y=e=F a.z Ae*Y ?*g.l"ro.'i,... Khusus .. ]? = b Fezx ^. f""uausotian d,curn' i : i:I4u.2.tse-3y + ax =Q - o8X :j;" raE 'xe2b' A, J" + -l = b sro 5x P,t Hotnogen: c'tc =o r. , { +€9 .r = ti ?"^rJt,.roriacL um-urra r ykL = ct qt >1 t c.r st61 X. fogo {erco"rrc.a-ru zl ? *5eosrt699rr-r< it =-fl e:iru:ot Bg crr5>. -A E cosr - 6 5e&1-, Y*" i ll;":i- 3;;[: (rry"esa-ian Khusus , yf = @ ?oqrnrqiarr Urnurn '. .Y -: Ih +-/? ,: Ct cosx + Ca 9ia X Ytt -7't 'ttry =e.eX ?OL flomogen = .r2 - 7c + ra- :o L.-,r) (.-:) =o fr=4 V.*,=3 ?enge)etuia;- rf,$.1uorL * Y! = cte{x + cre3* f*n"U [e-r,coooran , 7. = $g5Y y, = SAeEr ._ * u -, ,gAeSY Lcreesr-7(gae?*) t .a'tlut*) = eaY eqxe9* - bgkeE-* + ta Ae EF = g5x 'r; -B *ee|' = s9Y A=+ ?enuet.t".io,t- 'l( '-}u'* Y = YhtY? = ct e4x * cae3r+ t+ {) ?g^,aAesaian = 5 e.in gX e. Kttusrts tlrnu<n