analisi ii (177-184)

8
[g') 1-È ?=9. *L ?'= 6 :r) ?)= t Lb(+) 31'f,ftc'r-t1 z' = t LtC->-.1 L'. &J. î,'ry,."n. {: z5 + L. t rx5 f-r" b =9h) A ì'c11 lì-c*^o-n Jt* =D ?'z J- ? u'- ÉL b'ru-b = {- b=i lr'- ti 6r"t" (,") dJ0 f.,t) = ]-,", nf a11r,.^rro. P*,-"^-- ? =\ rl0"* x- l*o[ Iro') 0^&t"^"-- CI..- (ro') i &- opz(o,,b,) ,W;UM k *tù , h 5{,u)= zE + t, [*,4 =]o , +* [ i .' = I Ld - ?) = îizt-t-*) 'f, lzz +1-z]= | L.-+]= 1*,!)+lP @^- og(r,,\) ,yl 7'=- È\ = x(*) rz[z) , BF@ (q,t,) x (qb) :{R a? 90^* J- r. d^kvr- , N*e-* àp\^ J,^- [ r't'È'5 ^ tl,. 'k Z(=)'"69 +=o ^^^ar. A,-v. u r^. ,1^;;[- MqYu^Jì" ^/,r^. ú 'r- *À2*'- ' $[r^ ut z* *hsvu.- , 9'* ffi , (a,p) aR J'^ t '- ^A2 ' , '10*- dr'(-',=,1+ìi $^6*,e) d ffi= i t^^(*1p) Ò\ffi[*=|ih, I a(r \ l"r'c'r,t.l \ forlgzu= h 4,,*,ir=*, tW(r+z'i.r) +ok 'i l+z3o[") => 3 kelR, + h (.r*z'i*l) - h {d + k V x' (o,F) 4 \4 tr*e'f-l) =rW,",- î = oh x'nk, ^ G,P) >) {+?21"rr} = Wb"Î+k'= Ial. a z'&) = krf -, V *e (, ,p) ; q*rl* ?t(r)ro t* (" 1e) à k"'- I >o L (*rP) =) x'> 11*.t ("t,p) . ] h, *- L orpf . (',F). J-*, - -*,1 *tf; ?y, x. fu I t d1J L (,,1). Jo,*[ \ (o,b), l--,ol { 4 Lt +a KL v^) ft$i- rp ;t-eoass- rg|!,>s z (*) = t ìf-k#" - , ^ (*, p)

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  • [g') 1- ?=9. *L ?'= 6:r)?)= t Lb(+) 31'f,ftc'r-t1 z' = t LtC->-.1

    L'. &J. ,'ry,."n.{: z5 + L. trx5f-r" b =9h)

    A

    'c11 l-c*^o-n Jt*

    =D ?'z J- ? u'-L

    b'ru-b =

    {- b=i lr'- ti

    6r"t"(,")

    dJ0

    f.,t) = ]-,", nf a11r,.^rro.P*,-"^-- ? =\ rl0"*

    x-

    l*o[Iro')

    0^&t"^"-- CI..- (ro') i

    &- opz(o,,b,) ,W;UMk

    *t

    , h 5{,u)= zE + t,[*,4 =]o , +* [ i.'

    = I Ld - ?) = izt-t-*) 'f, lzz +1-z]= | L.-+]=

    1*,!)+lP @^- og(r,,\) ,yl

    7'=- \ =

    x(*) rz[z) , BF@ (q,t,) x (qb) :{Ra?

    90^* J- r. d^kvr- , N*e-* p\^ J,^- [ r't''5 ^ tl,. 'k Z(=)'"69 +=o ^^^ar.A,-v. u r^. ,1^;;[- MqYu^J" ^/,r^. 'r- *2*'- '$[r^ ut z* *hsvu.- , 9'* ffi , (a,p) aR J'^ t '- ^A2 ' , '10*-dr'(-',=,1+i $^6*,e) d ffi= i t^^(*1p) \ffi[*=|ih,I a(r\ l"r'c'r,t.l \ forlgzu= h 4,,*,ir=*, tW(r+z'i.r) +ok'i l+z3o[")

    => 3 kelR, + h (.r*z'i*l) - h {d + k V x' (o,F)4 \4 tr*e'f-l) =rW,",- = oh x'nk, ^ G,P)

    >) {+?21"rr} = Wb"+k'=

    Ial.a z'&) = krf -, V *e (, ,p) ;q*rl* ?t(r)ro t* (" 1e) k"'- I >o L (*rP) =) x'>11*.t ("t,p) . ] h, *- L orpf . (',F). J-*, - -*,1

    *tf; ?y, x. fu

    I t d1J L (,,1). Jo,*[\ (o,b), l--,ol

    {

    4Lt

    +aKL

    v^)ft$i- rp ;t-eoass- rg|!,>s z (*) = t f-k#" - , ^ (*, p)

  • -I- l?8-

    \t*,*no-, a; '.tr$..-- el'* V ko>. , 0,* pr^ ?[")t J-*, - ful- R W/t^ur a,rj#,*/.,1t,t"b 0"-U{F 2(r")= /ffi, rt" t('u)= -ffi; .,- Jr^ J"fr-(ro') .D* t. r **:_b;*?., 11^'"[ *0^ &L (ro) a.ra/.!r..j

    "0. 5(nl =L

    X\^{,Jtt'L

    z) L [o-,b): J-*,"[x. 5tt):-Krfii[,

    -L */l'^. o[ (,'),]fu,+."f-utF,

    Ero^-^{- + : f*-;J"r*-- ,1 pt^* ptt- L 6^,e,l3.l

    ,.( = L-*.6Seb)( J ---

    [5[')=r{(n,:).g4i!5.:A+fP, e,t* A= [co,Du8', ,c+o\ E A Rt.il- 5b (r,r). A. d- *k,^r ;ro, "ft* 0.re (^"J[ pr&[^^^ * ,^.1.L W i" *i ^ A , u*ftt {r(^,r) = +, ftd"= *6;. ,y-JL ff - !-;k't ,* A @a | " fu^a6*.** ",t*kJ I -,.{ u,1"k J,t ^ A+ ,.tl"rJ *rf" r-'i^-.tu 5tv):1,-i,,*\]*ft ,",[^^ J,l {^t0"* h*\'t.

    ^*J +bo*-Q.

    t+R eg. kroVK L

    L y^^" 5[*)= K/FF,J-*, AIrp _L@k'o.

    ^ , ^ A, = (n,r) u k'ArAf A 0, t l-.h6. vL'",i.ff J )r ,- A, ) k'-..*-t:, d&-0.- , W.l 3

    -''#r:i)'"* A

    , ',o roJ=Jon*l* R,

    At

    L e*"Jrr.*--" L r^ {[*,r)= qr6-("d\(-pd,- tl, r-L-a- ;1"*; ^ F' ,l ,'e** ,^[rt I i 0:t*rf",*...- *r]e,J 5 ;ffq:D'--o -{.-" o,S J rt-*- # *# Jnl,,' JX p&L* L c,.^nl").

    ,"f^- ,)*5(*): jnn*j-eR

  • i b'=fq)| 5['l= o r

    rlL- J-r\ nk5_ ,"5 e

    hnL)

    .s f\Arlo rt1ilt^""t.0L rrlo qdhe-," rll 6o. . . "r,t "d --;*t 0"^4' .[ pil0-* t a*-q , o,,..- Iptrgi*,u; W;rhH S *fd'* [0,r) i^- e-.; [r

    " 0-;Lr p*,! *

    b, . f, "*"t "J. --;*L

    3\" *ot ,*h 5C*): i.-I, o+!]o-yf8 .0"" J.0 @^-,_.a^ t *frff.,,1,,;-tror^ t,d 5 oni ,J^^- J il rJg^-- e^noL q ,r^n.,0- (I ^,*uf"L ,w,,ffiArt u'^f.,.o , L T^",h e.F,o L *0"r!. ",) 5(o = {f 9:.r,,

    ,t s-k e4^So)= r

    @r)ro- (b)t=r q k-L ,uJ 'Lo('*)' *x',-L5(")=)o ^ )c,-L

  • -'{8o -

    Out , e^o"L. L-*,- eXr,\o,} q o ns*&il *1r*r"1,-0,. ,

    5' = f,("1 \[",)ea,- x, [*,1)- R, !, [e,J ) .-Rr g--i ?(n,*) = x(,,)y[r), (o,L)x{e,d)+6R

    "J*"0h" f

    " *

    -4* L (o,b) x(e,,J) (* l,*^t X;c.J *^(,,J) *,{' y ;.,J ,^(r,q)I 0' 1^l>nt-^o g'=X(*lY(4 o-^tJL ^J,^. dt t'*tqn *, io *ro

    "Jo,r^1-..5["), (i,fl-R ,drl-,,$tr.)e5.)ru\ E/ {^'f',f J*-rn-- 5c*)u5)r, omn* I;".j*,pLtl"ru.*['--r5(*). 5" , do^^ \" hL & Y(*J.o *l 5(.)' (r,lr,l-tB ;,,!.'^. L 2.e".&1uu t"0- ."- \ (tc"r) +" t^- (", *"L/','JJ*"-- ,l d&^ t e*il^t

    I 5 -- K(*) Y (s)t 5[*") = g"

    e^^ (t 1q[ x, J 5. eo.*i*

    .&^. 5t"t "L r.",l4. p* *^J*f.- i t* "t^ dd ,rJ&* f %, 0.._q..-..L @ l(.") =L b&)=\", t & t fi^^" \,(r.), [*,p) :fR, w5,(-*l= | w" a r (*' o"t](5t"l c.

    ".flq,pl-{- r-q ,J^ Jrl i*ffi t ,"qt.r-^ y.-,"L Y (u,(')) . Y{.b.)=ol\l; .,".3t^' u!* ,ro.,l. p''.t0."--- J- cr"Ls L p^; / ,r-^- ,J,^., y,_*tl_ *_ *+r*bJt 0" $Jr && 6..-- L rt J -.-n tr 0"e"[ y;(- prJt,l I

    ^\ , ,*ul*.{ u *i, L [",b) N(u,J) , * i*, tl- | u^ ; il-p"Lh"'** 0.t{ *rh; 5h-4 *f-h J o L.^ {",f)y(e,*) . J- *^*y^,,^* r,,.,t* ,r&,*r[ L r-"U{, 0^^-e * (.,1r) x[e,J)

    "fyu,,L fl, ,,.,**- *(.,t)x(c,ol) (uj* ^ --*M^ il- br^!^l, k)

  • f* a*"0*tu"., | &- L1^"-"tkrnru "-t

    * l8t-

    [ql) x {0,,1)"$.r*: :

    fl 0rp"[-r"--* ryfuJ \ *{ *1'ft "J * ,n^ (',b) v(e,d')a trc".*t 0--kh L [o,b)x[u,.t) t, h,t) *^^^o- ,,^ [cr-,bl* (.J)[** ,"!t"t !- qJ- "10 hd*- * *.f*",^n-- A. *;nk

    A^.dr^ L ,r0^U,*- /

    0'r-0" , L ** *,fr* )-mr- {J'

    "g'^oa;'^'- 5' = X (") Y (g) r c;ft-.

    [*^f"t' e^,JS'"p^"oo.b=ls\ , X(*)=r,

    Ouq^sl*^- U* ! ;.J-^ u* Rt Jfqs/l=rvil,l{tn,u,l - [(*,u:r)l =

    A*- m 0* *J. dLp-

    "t /l^o, e- hdr*

    [,*t.,o , U*J.

    olurl -luJlr I

    \ {r). lt f(n,r) = lrl , lR'-n*Jh

    5,.- 5zl V (',r,) , (n,*,) R'\,

    "r{" $"J b ,-.{ ,'q"AJ .,n ; R. , e,b M i Lr L. ( t" o"|gouo- . ' '0'"1u*.

    r. eot4Jr-e- . ( &.-^-"-" ,0,' !a(o,r) n^,,. e. lt-.k| i^ lQ'?, *r 6),

    C = n**"T x(r)=oo, lR"lP , \(q).e-'5, fR>lF , fl(n,u).Jxl,)p',Ss., L,

    {ra^,5) = c- tJ*erb e5 , IR"- lR i

    s* 1-,4q-"+,i!^"W I *4,-

    {f - *,nt-..- . tR" (^ o^"^ t^'J.A tW *l,',*pt) ,g,.*f' tJwLQ'*,n.WfuL,A-o^c e-- *-- *0^^.*- dla4" .(r: d.*J,

    5 = b'f/r,r-)d

    f(",t)= b"* ,. : lPt+R ) {r[*,1) =25r,^w ..^i *- fRt-> ^,\sL

    e-*,*."/^. I a" dl*..

  • -i8z-E"^r; tL: uJ'

    (= ts1JKV(r). r-,f , tP , l*t = $oa..,A-,R ecr^ xR,

    e qftU/,$-eb A =(o,b) [email protected]*t'n\l--plx c

    A=

    A=)] [n, Lm *" I x ]-T"fn, ru{r,-l

    ^,s* L -- "J,^ " I r" *forz--*

    ?r(',, = -+ -t ; e',I \e- lo, +-lxlR '*L i,'r,* ]- *,o[xF' , y-l 0'oy*,r "

    $. ?t ^^* L,rf,*. ol r* ttL,-, a.o ll*"t I***J'';^ Jo,*LoR"^.-g"*/. \fi1*r^lt 11" tz, ^J ['ry^o"".

    5'-ffi-(4"m6@{r[*,r)= tffi*, -u\,.. (t*b' ,; *'L L

    tr,tr&qu*z . Dt t'F @ usl {o oRDlNgS.*-o q(*) */

    " [("r J'^^- P'^"t

    (rr) {*o(o))=b[n) [{C-,O=-a(w)5.\UC"l)nf* * f,-

    "?^ J4 il.*-, JJ f f al*-, e(*) ,*Wr",-|, b(*) &r-; ,,',h . b(*lfo * WS&*.(.',b) JUo* fl'-j^.,r^- i Je" r,-4LE, Jhr--.* u dt-P4 $L*0^sr^r 0^- f 11) , eo^.J*b-. lqp^^--- 1,.^h ul"- ^' &*'- L r,r^ #:gb';

    ooahJ- '

    (rr') $ *d"lb=oQ,.dc*-. k (rr,)"q,J^ t* eoh,g r Y(tl

    .to>bic" b= -o-[")b ea. qso,r": \f"h

    e Q ( b=o =) tj_ru) : rO t^- [u,L) i 0,' ,;"- ,*f,^ d ," tv^ . t z' .t L : 9a 5c',i'tS* i"i5fft'"il|lro-

    1'Co;= - u(n) 5(w1 .- (.r,e) 1 ffi J'V* A(-) i.-r,- p-t*- J- o-(*1 L (o-,b)

    ,

    : -"*t Jn '

  • {gj -

    J k.lP , t% f 5c"ll = - A(o)+ k r'^^ [o,O9 l5cn>l . -{i*,+k - h, ;otu (/w (o,p)

    okto

    5[.)- *kr o-^t"' "

    (o,p)

    VrorE'o* , n-nson-p*- -lt \(,t)= k, o-fl(.) t!f"^. i 3* ^l"Y'; ' \I L. I [o,b) . - o(*) , r]. t *-^ ;

    '5q.-&

    ^4^0 ^"b-" 0- q*ft." J0 h* / **

    JL,or- o* nn-o Jr^ [ .- -^taI*.-^;{^"--o- g- J,^ L (tr' ) bon^o

    5(*):6 L [o-,t) g 5('t) l= P t- A(") L"t^on^.,r- $( -k

    - A(") oa^^- k n lR .

    l' qtt*u^-^-5[w)' J.o

    A(") , h kttP

    er- k+o , J JuA- oL v-*Ly,tu.

    (o,b) x fP (n* i.*) t,l j-F;. ^*L ( * A^fug^

    C',t) , e-^- k. h- ln] J l[',) l*}.""11;l

    l. OL.. th,f"0, y^-0- 4ll.' e.i,"r,,,^!s'- 0t*-og),,^!^q- ***^b. .

    P,,t-+" f, or.s.- flA;o^^& : 9o-'(rz) 5''ta'(r)5= L'[*) &.^ o,[*) M. b,t"), br[o) Q^a o e*,t-,.,,^ (.,b)(tt) 5r +o.,(*)5 = brto)d*""tr 4 tr^^,^,,ri,9* b.,(",,p)eR d^'0,^. d (rr) &- b.:(",r)+trR t*0r^ / l,r')

    "M',*(b, br., (*,p) rlR r J,n.'*.,t \ .0.e o,(r) "5 = [k, \c't+k.t[n) {*h,k,R)

  • lgt -

    AffA* i"e, pr*t1,,-. "L' \,^l\,,tf{r,:rree .}lfu eql.*t+. ({r) ,- ( rr') n- i: .

    s Y(*) o--,- *f"".t(r,) s- )(w)o f,r^'I (i) "mr^\ t"l + 5(w) ; g d, ' ,l ( rr) '1 + eulw)r5 '' b(")

    \f.enas.n,o , lr- Y, (.,.,) .o- Y (,"'l r.!o^.. *tt. ot: (rr; .0".*Y*C,l - \t*) ;

    ""0^^ t ri + u(*y = t1*;-b(*)=o erri-o- t ^J.rr. {- (tr,).*r j 5C*) r&^. Jrffi,'ryF.owsb.*^*.J* tl- J* \,(,)'\(*)t5t,t)^ 0.._dn*."^^- , g" Jru-^^, ,il*ff'ojr* ,^f.0k (rr) otvwuo t"tr" , ,& 9-0rrr*. /\ /-\* Yt')+k";A(")'(o,!)-fP, o0*n-," k.R ,d^* sA[*) ;; .v'.* g.---Jrx" u^ (",1) q(') J Y(*) , (o-,!)>l *-'*.- *4,o"*lt,,lFd*" &ffi 'ng,"-"o. t"^-pOc- .

    L'srflr$x--"-

    \[*\*K-Ac*' , es\ kelFt /.h* Jqdt y"^-[ Jfl.' o,p,,o,' .*dn il1fut*-- ; .ilh- 4-.*Jh * /r"k,,-;*.r* .* /-oi n - Wftr""t // "l^ "lLeRL dJd"-**J^- dp"^' -$ *9*-"k' "-"Jt , Jh n^--to[ /o n"t* "- lfu

    P-h^h t* LW*^a, )(*&.-- Y(*) k- 0, W 0 ,[0 {* y(*) -A(' , My(*)o,,*4,'6.^"hff . d* lCo :)'(*);At*), (r',t)oR n.q- t^{- Jr l^0''en^* *'(h (tr),rM*Y'(o o + a-(w\ Y(*) = b(") ;

    y. L^- y'(n). ),(n) -A('') + y(o) -A(") [-oc-l)o^-I--

    - A("1 -A[n) ,. -A('t) \ - -}'(*)s- "\'-'- 7(x,)c[,")o"' ' +s(yt(n)-r- = b(*)) y'{n).n-A(")

    - b(*) x'(*) = b(,t) Jt*) i=,) ;{x) e eiri- y1')

    ,"^- f,A^i'O ,t"' ff*lJ(d

    Itt"'J%