blvfth 5 z*lapn y n'il -...
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r'iblvfth 5 z*lAPn Y n'il }/)a'n^!-- ( o *-,t.*n , Ttrturo is. tt gL*, s L >en'-; ^^*l 7 f'k* )n sic/-.t-
tlrl vtlit c'ircbu S;^ce- r-/.r ^u^bi*,
,4 p,lpo mu*t "7^*4 t/'e-,(tttvvtbpt 4 2e,r0 s , tl,gre inoqt k Aa )<r,*"J &rp a* z-= F
lle) :a ( ruisrJ ,,^r( sto. b L[ 6cu'vLlQ 'fl''e p"< ttua a&s,'/9 */*
L*f4 yV 'J + i^ebtlz< 4* w)< circLe
fhe inu'u,'* strQ aulelh*n ^ fuc" tl,x in c/.'{ ,Li-o
' /*l '= I ulock ^*}"2 i s r,.iJk - itutShcz -r\e.*--bo it ^ p.t-e y llt,t) ,6n^ *'J
I,tV. ,f,tln^ '
rar uw*u
_itltux
i^a sJ vnnfvy I t(t( n) wQ brt,;vo * lr* [.a'z,-eo,z'; 'J^^^& 0r= i s) ,V tA,, ?,t
'f iln)n=/= h
9,2 , Thvls
we knN i,t hn* A*^^ ,l,,r47h/a k nuv,l t/,o pho* 4 ,{rd *)tl
Jrd Lxx g)*,J = -'kr krrtr (,vr i*, )J
=-h(-y1 )= *
(: ry tlu 'l - ^rnt!'fu*d'^ ^,HJ{A ut Lr,,*r;rJ":
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I
|ea. fu-A,ort fl r).(i,) ,l es r)u Sffi,t-n ,,n f"^c*11 t *Lil, bp a- Je^4rt'li=nev
{tntu"r\
trt'^tl ,f* 1"+ *l* z-tvos ctn'\'L l;n A ed- ( ry' :.*o'',,,ts cw),r1p,fr!- , ,r,J tfu twa cni upn+l rn d lvo ( Ms rlw P 'k - >e'r opt,tt ;ei) Earrwy'^il 'tn c\ W I FlR b'npa.r- Pl.^no ilt* .
0) &6 ,, T/"r; lf\t't^^ fr^rr:!r, ,*r,l J ,fr lt " le4u*ta*,N n ,l'^p^'.--1r
hc,r>a tf**'' {/"-t t" ,,, -"xC
^ ,il r / ce pe ,^,,4 " ,:"! a',2[; * " *t
Sir,c,q-- il" LccDE [^, rnoJ tunfl .'e"ls, tf pobs '*t/ *t'cSl1ru,x- u,,uL i rr ,,y ryr * tu4r, j+-r,or,
-t/& )r.^ ilr + ltit l"b-& *
VL't c!, not h*a
"chrel^*} *YVf* se ft:
rc ) '[e5
u-*4ia p"Lu - zar') Flu{ ^nLel' cY rel\'wl -h 4 W fr ftk?\'''P if*
Tr\ 5'1u*tl'. ,(lt) r/tn) = /(n) ^ Xcn)f,+(V c n) .:t 6re)* ) : [- dyiei* ) . *2 lAA ,l
^- Dtlr" I tton
l lrt'- )
7(n) ^ $n't rnoul,r(utd A tuua), ,W:.t ,f{*nA, *l lt,*al,tl"'e'l'
b,.Jlb)
-1 7
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(0\)
Irf ,," I )t
PL'*""?li.n id. A Jnn
0\ l^* n ^'^ryb
l, Uel/s P)\ { t/q- fr.tte.r^"!:u4 1, -tffi 'rt A l,o'"-1^ss YtX-'
-/, 2
tlqA SW,-t Wy,rrOlJzaft
l-?' 7'",8
!#,0,3,'^:It)
t+8 9,.f,u'tlvt 're l*n =fiQ)= 6
0- *f ) ( tr tz')4 A=P
4i^c {Veq WftLc) 1rf,t'9 w,LL
.J,iol ;l A 0o^ I '1,
"f/lL zfrs+.t'tvrtlr;o ,X":*v"h:)TAb ; -A
ry'*\b'ti"-e Yod$l-f,#t'"^zl ",ry-ffir+
'41
{ t rU'zfa'eA fqn-u" { Z
-'(fu*fve ' r/'-e.fr'a,- 4 2
LT,^) W ^WJ,B cnwlretoil U
Jir\145 ' 1]721= (t-*/) rn)z'')
lzlz ! jt rn ) c^rs"tl
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1
I
4
ri) Vtt) = !-o *f I o
Vtnl = Yo +lA
=9+5Tht'ts'
d,n) = J? H(e)t)
+llejnt flIe-i'-J9)rcP- fl (e^i*)
^R_, Hr(+)=7r(+)-) #)-) (e*j^
..) t +
= jw+ z*j-z C6sl*n -.b^t f 48 F tzo tvstn
t) rl?,7(;)*17
*'t,a-,,^2l
tlz) =ffirrer)i\ wa *sil-il -"! 4ia
nrt stt L(I
= ( * >g +JE:
/- )2 i l-zE-lpre ft lrz) nu* n'&2+(t- !il rttiz" )J:
-s+tt -jzn /r) 24
5r. htnl=-F (*)n rt(n)* t'- ))n^t11, l-J
tc) cir zrnl= +(rn)- )wrn-,) -) X{z) = -= (zl = I- /- z-l'(e)=Kilfic:)- - t'-r--J-ll(z / 07,=r\ rc)z-t ) r/ r*j 2-'
.--JJha> ,lrnl= )Kcrt) +(-tln arn\(
Hrgi' ). {Hr/z )= L
% il,^,
5=t;,aq+1tloa*(4oa*t) f=* t=rtT
W(5 D I 1o ros nae, +n + e E") + t, ( e)nt*;r'na,
+ i(j*n nk fJ +t{j3'#l.j*l * t!g:nzHNq)
t- ir-,w-iu-t'* .:Z, rl(a)')=
FPl
;nc(dt A=l olot
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I
r+l rA) Atn) =(!)n {,,rn)- zg 1-n) rAt n) ^ qg e)n44r-n-r )
$) lJt{z)= lrr" #Hzt/)= #
-h.sl %Q*xo^,(hzz{) (r+*z{) t rr'o'fzJf(^) lle) =
0- =-,) ( r+i.7jzn ) r r-,.7i2_,)r,t,[zn - z'9tz-- - o,Tz^t:{
l- {t + o'+f {7 --0,+f s--}= Y'*){r? )
-lJrrs, CfnS n u,L*'i>L q- ro
6)
S\c4.
()
W *9 **il +k ;>tva s( * 7 t'"^-{*^ &vt ,
tcnl -flrna; rt,Al J rn-z)-,-p/;( h-t) = /(n)-0,6 Ttn-r )->3fx,*l*,
f$(rl
k4 b co^^! -) F* i'1s lzl >l
-- -'*' -- )
,/i' __,,
-
, .,kli€,(c{) t ir\)T-X il t-t&4,v1 ), ,,1 ut st^t (t
Urii)6;z i Lxa*st Arn) ,+ nrte">rt"* 4J n-, tr'r
Q;,1 f"l|L, $ie ,a-n 52e
E )row It t t^ (>.rl c t )\iv) 'p(o' ) tr'Ff"l
s\1(t2 iLs Ro c 'tw< ,"r+ i'oc[n/-L tZl:l
Y^\s fr ,,/= +g 'in -rl.s f ro+h ,f lUrci*s)Jr\
TUt ^^oQ &ttx lr*1\t"!'i6 ct f,o. tA^t incfuoLqi rzt4 tl"ct 6
o$lz\ yhau'O *ft oT \onpm"l,^t*J prma- ph^s.e gi4,e,r. 2_
Itlt:)' l^s 1'tn- )ntf,a +!* "r"+ Gvc(t, 9o Kyc, ^k\ lzl'T 1u n'tttr
+j.iz ?-oc { iittl. flarcf
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a
f-Jtr. fi\tr+ T&.V-s -O' ^rl. n- c&y\ tl,,t bz- M* f 14^4"3 il"Le-+ir| hal, Aa*e h 2et0 af Z=ltr?"" tltfur /,Xh pa'>'{,ln'--.rW I *WY = c*nil LLL, (,,r {F)'\ 6fr'',
utr\* firc,-
W I! san bA l,;nlwy"ss {-'t*ietoxflr", I I ?_-- I llffi
wn
T[fa T can '4x. hA T\'* ftilrs t rtU\r4y+e- yrryrrnl t.f-*,Ut^. "^^nl. a* zil , l, -1 , 1*' 'l?
;'^^1A*:.A^*
lrL{ l* f rW ^J *, , ' t{ H nt>1 tz) a'rQ- tPco>aX- or'k-r '
' 1"/'e^ d"*
Tfup;; ?* +rt1 ; TrL or^pyo ,qa1::cL' '+r'p ulat c;wk' N'
T4 I
bTr i^ ,/*' ryf* rer't;tw cJ kpa v't ' t'"9 x 3 b*^'' f/* '
rUYn
ttT
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s..I?
clt
Jo-0*n^ .r,q)e brow |,.o* htil'w tn,g*h g ^/' **y" 1* J z
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6,t6
rd}n
?.:
,"lw;
il*t*,f,Je
A.XDry
f,Jetl*
C.)u
9t
^)it( (n)
-t t 5 tl, , At l^ ^n*,* C ,/r?tt* 6 I
iu>4 rcVersa- tla A{lov1't5 an/rl1*+ onr( t-l'z awiywt, bt/e ft
Ye /a'4/94 +/'e n k
d,) rln{-nn Ttt,
uV&l'nrr.l sq,S.-Q.+rt t'S il,L0il ftfl r14/\ ,t4,5 T4)'r*r^c,t#le s ,
* *, ^* ltn,\AU
c^ro/o ( 2+/s sls,te_n
( t- *z')
{rtr44u *rl lrrun-t'u,ch'"a
^ fuOl* 2 za n3z-'
-Q
)lry) = /* * n-'
-dre tr^,t >4ztsz"l y^4tt , dvr t/,t* rdw'- lo"n r{ ., h +/u- Ca srr^nf*( z C.ile ct {* ,l T srrr( ctut'-e s t -(/orefr, d& s{
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6 rti $/u'r-".,i't '-fla f{"*/qrca+ !'^fivur' U
:
ju\L h jr* ^ ,o,oo,,(,o ,r( &oc t*:ffo*dI Stt u chore S , 4e ,)4tj-ty1 4u'n ett\:n 'i4 -t/' ols,.ul;, , i ,*1t4*fz-jtr.z,/=t-tt-/ [ zi LaJ-]'-L
I J- ' \ / t \
t*i="-iz-, )( /-^{-t /I
Jn r J,un lo ;*"pb ,ne,t tltx sfistg*. l-ut^cA'n w;+ L A gunl -,r u!furf,xect 1{wn, -[ ',tY! fk* flWf L ', I,' ?,(t ' x'nn 6a,n crUa-*t^ 4's-?, orrt,r,* , tA! lt'lfu,s U ',a=i ; ^= 2 ,y et--o ,f it=;lrtz rvero,l( tlt* 'f^trt\),t) a
Fl e> = /izzj/*iz4-*t-,
( I +zza ) ( l-3-' 7t )0" + z-t- ] z-') ( l- a'zj )
2ii- ,2-'* &=->
)
+ aL=o
tht) ._=t+{2"-- **'
tkzt = 0+"-211*iz')ft+z'-*t-'
{'l,t Sl "X^,'Xr'Ini rsin@ lltzl -- . t+zz4 *tZ-' aAz corr*k +7t;.-') rr-5=' +:*') )
gw^d - urrls"r tn*T" J altec* ,fr- O se,uhr,nZ ).d r,4 'fitt r"t,n7 .
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t
l,,l 9/,,*vitn)
L
s ,i^tu\'utn) 4-> FJfzl :
4-bl
/-ej*'- ,i*rz^' f ,t t = Xr* )
fttn)- l(H)ei'" *-/rn), W d,4= lruD+jJtcn)
Tl^^ [r rn, * jlt,n) = ( c0tu0, +) sindo ) q y [n -t) o j] [n-t1)+xr,t)
4*"* +l,a rr,,C o^,y' ;, *r"i4' ffrr n) = rrn) * Bdo "S r, ,i 2 -in u, I ,(n_t )flirn) = sinud, f rrnt ) I Ns u, fr,"'{n-.t )
trrn )
{{r ni
WL gn)(a) 7,(n
&
ob
{rfn) - |w (n) 4 [u.rcn -t) +^U {n)
I
ff trt='
bt n;=t*o
/In) {-t'n)
H1=, $
rn) = /( nr*bd trt't )t= t
-,L ,/ - la S2_l
-
6-\1 , (h) Hpr=iF#&r.)7'l
6tg -$^0drt^,,n, /(n)
"-l(ul F)-t--+
Hrzl= * ^" z-" =n='o
, -l?t z'
f
l- at z'8
;r-1 f-i?
la.cth
&,^ )
tb)l- az*l
d,-:s
f/t f/* |'*f Lc n^e^x*drr4 lvt y^* r c ) )s f4 c u,t^sltg ^t{ +(ot avar^l,(sl4r-P/vn b Fl R.
te/i)Tl* h-t\"**"* { (n") fus d} s*"yn q 7 ,/t& (c) los.11"
e",#' t 7 =-) (c) Aa5 vA! nn+ tr SqYi)fa)Hos
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I
(.*q 5'L*+,tr( A) a(tn)^
$IID=Gxtn)fHrn-r)W cn) .='T trl(n)-(?f) fl tn-t 7.
ffil ': twr ) 't'ltn) -f l tn-t )
(b) Util=ftXtzl+yatile)W(z)= -(ltt*) -(l-r) 21ye)lel= (wrS Yre) -rz'Yul
S,Lntp ft dtz>UE) =
f rtt'r) Ke)
in #tms -f {e I ondI
rtv rz;'-( t-r)2t ft2)I r /\ -
ftz)
) - rz-t'f B)r)z
.-L
t-
-l
)
'T Z-t
tu E)-tl+Y2
-l -)lz-
+
7
/
(
>7)
Tl\rar y 1r1= f+fu
re> rr+:
tk^v
HrG) = qcftr)" ' l+trza+ z-'ple..s *q /4* (*4r *){TF ; o*l (-r'1 F S Tl4"
u+^i* .( eacl 7,b i t t/,t %y ,"r(tn{t(f ) anl tam. (; S ruvytza"&
-
t
6-u&irr) grl*4.r"Vtz)= zt [6X(z > + vlr*>i , il,r) * *'trt/rZ) - ( r-D l1z)
a^t, )'rz t : z-'[! rcD u (1) *rl rzt)
50, dztZ)= ft cftr)z-z : z-2 fj,Pll+zTZt+z'
kW' So0'*'tn( c,)
it.-ItHt*) =
7ired fu"^ rltn) e
xUi-tZI
a---)*1-_*>
t-'-t*3
i-t3z'Y(r i
Frt n rd.a- 1w"Pk^b*n , irfn^,tn-lU{n' *o *rt*(..
,6Lr ( I - t *',) It*) : c:j**' )Xrz ), :r, fi t n) - i 3f r*r) *- - *>(rn) + vrn-r )
A(nt = ![ fi(n-r)* x(nt) .t-/rn-t )ilWfi Can b8- i,,1i-"-r.*.1 il+A +/z f,t *V f,- nY*
ib cbo* +A,* 2 fuU t ^r/ 2
'I n.-'jt-.
'---)L* F- ...'...-. & (
;l1
.
-
I
(t)lltzt -
(*+) (zu-z)-Cr i e'; rr- >z')
71n;b (y,.t4- w i,*p& **l nA tA! cro r^fli)1 !'*t (b) i,Yl +/,2 f !/"*,ff \f [,")
7u) " -,--r-i-J;-*,*+---T-^*--*-
. {,,, )+ I' t-
''^ z-l
arn) #. o_>41 r^ ,i.'L--[--*-i--'-, c,,)
Nornt c'^sc,,,!,g +|z ^bwn +lr,w Wtrh&) ^^,1, flQy -rkp ililh d!*t\A4+9'\ ,rLtl, 2
^*lhyl,*a+-S *,t( 3
9,^, z4 . -| {'
1 4,'eTlu'
fkn y*y t,
,,u'*1 +kuurol"]t4 s .
J
r^e- P ?"fr-rk f,u't
-
Ch 5 solutionCh 6 solutionCh 7 solutionCh 8 solution
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