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taj - ifi.unicamp.brmaplima/fi002/2007/aula27.pdf · C-at 1r + .(.cl; i-'arf-It.i'-f..t»?? 2 .,tV J} '" d.,.?r-H if i 1.ut,f ~ rrn-eJJ. fma e?..lU

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Page 1: taj - ifi.unicamp.brmaplima/fi002/2007/aula27.pdf · C-at 1r + .(.cl; i-'arf-It.i'-f..t»?? 2 .,tV J} '" d.,.?r-H if i 1.ut,f ~ rrn-eJJ. fma e?..lU

~r ----------------~ ... ~I

Au It\. ~~

~ d4 '~ eft /J1y~, (~ 0UAv~

ar.t:Uutt'f' ~ ~~ +taj~~

r

\ J

::::;

Y"' ~ ~"2~\_ ~2.._~-2}~- 2..'1' +-

2-r+~ Y'_~'('2- ,'2.."("'2..

--- 3'("1.. _ "~1,..-", ~'2 _ ::t-'1.__ ..-_ .....•-- -B. =", l\. '("2..

,• f

1:t~'Mltl\l.l\k 'Vb~ ~<tc",-k

11 ~ ~ t lt.t -\~

Page 2: taj - ifi.unicamp.brmaplima/fi002/2007/aula27.pdf · C-at 1r + .(.cl; i-'arf-It.i'-f..t»?? 2 .,tV J} '" d.,.?r-H if i 1.ut,f ~ rrn-eJJ. fma e?..lU

WJ';a~t~ ' of"l'r c+ l!;j r~oC"f {z '" ;;z.i~ (4 ~aJ.o k~&o ~

(;< ,~ )9.c) =' -Be -+ A (f', (Iix-i)

'~. ~(llA, ~l{' {M' ~~k\~ 1Ail Qok ~Jo tio-,~ rlD ~~ IirL ( rfJJ)/vAC-"

L

.l l(r) (J.y) - ~ err) ~2' ("J.r) (tI+1o)\~ YL ~L ~

::c .1- LJ.,-t)(r,f:) +',c0) (ct-L),~. ~~

Page 3: taj - ifi.unicamp.brmaplima/fi002/2007/aula27.pdf · C-at 1r + .(.cl; i-'arf-It.i'-f..t»?? 2 .,tV J} '" d.,.?r-H if i 1.ut,f ~ rrn-eJJ. fma e?..lU

C- at 1r + .(.cl; i -'arf -It. -ft»?? 2 .,t Vi' ..

J} '" d.,. ?r -H if i1.ut,f ~

rrn- eJJ. fma e?..lU<rh:-i?J:brna/~

[dr, tV 1

[t- ~) (> s40 /o~ ~[fr, .fz)

[ar",] j'g.£()/A» ?ialtJ lAd IJ;JdI J/-t ~ ~ ~~~J

ado 1J7~ 4 4~?

-htn.t :Il~2.= /1 (1:1. +Ii) ;3 a: L'.;.1)[r, 0')=[p,lJpo I

t /1. (iJ.'i.')~+ !'l(;:ZIi" Ii(/:t)+ (21;2-~ Ccr-'.I)'L + ,2-f\ i',-[4- i)2/ ',

(p- 4 - r \ \ ,- \ \ 'L -1\ -> 7-r :'- ::;.\?,">f, L,(" .,. o-~.L~ ..•.(f t L,) + '211 \r, L + 1;

Page 4: taj - ifi.unicamp.brmaplima/fi002/2007/aula27.pdf · C-at 1r + .(.cl; i-'arf-It.i'-f..t»?? 2 .,tV J} '" d.,.?r-H if i 1.ut,f ~ rrn-eJJ. fma e?..lU

A.. ~ ~ t-Lt '1.- "'Z.- \ l' (i'\L \ L_ u ~ Lit, -+ \J~ ~ + (f-o L ~ + (J~ 'k 6~ L~+ \J~ 'jO'x. X/

, -, \ \ 'L \ r.- \L (f,1+ U](;L~ (f~c~+ 6~}..~6'~LlV -\- Uj 1cr~L~ .J.. u~ a ~ lJ

~ -1 1 -0 .y1.---+_ ;L,,(f.L-\-V"1

1. 1.- 1.,"LL \ IL

- L~ .\-L~-\-lv+<r](, ()~ ~ j + (f~O'Jtt ~ L;v-

j , , ' L{I. i+

~ "i' 0; l.-~ 1..0.1- o~(f if ~ Lx,cr ~

41

~~o

, ' \ \-', ~l :l-

~i.~

4-

(f'1 lfa Lj l~ + 0-0 lJ L~1-)..L .If)(f.L..4-1)

\

-f?

-)

:: ~1-L~?+7l' <- *) ",i~li'+l/"L)

l' -=- 'J'l.) 3J'L, 512 .Je­: • ..fe :. ± i., ~2)-t. 3 ,.,

L~ + Jv ()~ (l-~Lj - L~ L~) ~ tOj' (LJ L"){, -L~La)

,l ) -I, -7 1..--t- f\ (f -a<t L~L" - Ld LJ + ~ t (f ,L -\--l1

lL. _ --k (f~ La ...- fl~\ Lj _ it (f~ L~ + 2 ~ 0::', L ~1\"t..

•,.

(L.JW-:, i€<ktk tJ L~--

• ~f~\~~

Page 5: taj - ifi.unicamp.brmaplima/fi002/2007/aula27.pdf · C-at 1r + .(.cl; i-'arf-It.i'-f..t»?? 2 .,tV J} '" d.,.?r-H if i 1.ut,f ~ rrn-eJJ. fma e?..lU

Note ~'.

z. (-~ -~\.I-') _'$) -\ -) \~.o{'(' :. ~ ,,-0< I r tlrA . 1(" .. ~ 1. '\ ~'("-=:. .L : . ri l' ::: \'f' ' ...,...... v-2 ., ( ~. , .

~l

(il.%)G< .'6) ~ B.c, ~\.cr\, (ex~)

o\'r~ -1-~o('" ~ .l. L~~.-;)~ + f?>ll~.t)'(' 1 \'(

c:)

.. I - -'1

;. ~ o(-.c,f ~1. oS ~ :t 4..dt~~ -\- !1 ~ol~ +1 prlJ +1 ~

. '(' L 'f f r ~J f' r-)-•.. 0tO<f~-l- fo('" ",;;r 0~ ... --

:p.r ~ 1(~·1~~i)'"'

I -"'-7

A ~\~~ o{y -Cv c(Y'

\4::::. C oh-"f-c- + .l \;}(, ~'(' F~ -+ r yrtc2. -+ VT

Yl~ ~ JlJ\f\A. ~ ~ e' ch~o.t \r~ dr;'h~ ~V ~\ 1 ~ ~f ::.rf..-r c i ~{'~~~tA(' ::::i

~ ~ .l-rt 'MiVQ. ~JJ flt1dt ~ ~~ fA f"\ ~~\-UJ ' ~Cl ~ ttA. I ~~~WL ~

\~ r" l~~\)~< ~ l~-~)

Page 6: taj - ifi.unicamp.brmaplima/fi002/2007/aula27.pdf · C-at 1r + .(.cl; i-'arf-It.i'-f..t»?? 2 .,tV J} '" d.,.?r-H if i 1.ut,f ~ rrn-eJJ. fma e?..lU

f1'tfi =:.Et

l0 - i \ 0 -') ~ ~ a

~ Pr -+ I~( \~ +J 0 r). U 0 ~j / b{ . \ t

o fN'rJb\ , \ ~.

(~ D ~ mt~ ~ l! V)v \ I I ~ e

Q -4 0 (

J

",

b~ ¥'- ~t" 1(rt -il,) :. -,I; U- +~)} 'f -1\ Ot {'

7 _)-';=_«.kv

mr:}- +V - LC-p - t;c.-k

.\ I 0J r: \/E{lFf" - '(' -

--.1

I.E rl~.tcl'.- - ~

- 'mG?' ~VI\f'(P'('

'mt~~V -l)C (! +2. \- ~k \ I iiF \ - I ei1F\u( '() '("

~tlG(l-\-_:\-h~k -m(}-';'Y j 1_1 )::: \~;'~or ;.) >r _ \ Y' ~ j

'rf\c}- -+ V i= - it! C, G r~~-'ftc ~ - ~c~ ~ _ E F () ~i~~_b, ~ f·fh,

y:: ir- . ~~ -;:2 - y: or f1.- "ii(

~c. f) ~iF -\-~(,l= _~f<l= C:-- 'f'{l(,1...+0 ~ _ t~ a ~IF;-j: ~-'-~01 '(Z. '("7- -\ '" 0 r y-2.-"(U"

--

Page 7: taj - ifi.unicamp.brmaplima/fi002/2007/aula27.pdf · C-at 1r + .(.cl; i-'arf-It.i'-f..t»?? 2 .,tV J} '" d.,.?r-H if i 1.ut,f ~ rrn-eJJ. fma e?..lU

'Nl G2.. -+ V F - 1\C 9~ - flC~ G. t:".1; ~,,)-- ...........•.•.. .-. ----.,.\i"" ' v- &> «" 'f'2.. '('

-4- ~c aF- -y- tJr

t

~ - 'm c"2.- v') \=, + 1\(, db. -\--~ C ~ 6., :=: 0- -Or v-

Cr -\-)'YlG' -v)~ - kG ~

-{- we It. i==0-, O~ V'

O/l~~ rM~\~7.

0( 2- =:; 'YY!,e,-E- .,.

~(...

f~~ \'-------- \.

G.t -\-fL 6J -(~ +~)t=::::;o \cJJ J pt. kGrJ.\

1

Vr -~) F

Page 8: taj - ifi.unicamp.brmaplima/fi002/2007/aula27.pdf · C-at 1r + .(.cl; i-'arf-It.i'-f..t»?? 2 .,tV J} '" d.,.?r-H if i 1.ut,f ~ rrn-eJJ. fma e?..lU

Vtr) =- -r-f

6)tf} = jlf) e

J -3 -f;; - (~ j)1 ~O

/'-{~g - (~-+11)3 =0J ~ f1I ::JS (ao -f 12,/ -fl") ao 10

d .;/5 (60 -I6·f-lh) .to 10

~ r ~J F 7 /,uu;uur bdtJ WI< fI1M-'rL r~

erk ~:YJ' aa ~

£Lft[fJJJl'f~ ~

Page 9: taj - ifi.unicamp.brmaplima/fi002/2007/aula27.pdf · C-at 1r + .(.cl; i-'arf-It.i'-f..t»?? 2 .,tV J} '" d.,.?r-H if i 1.ut,f ~ rrn-eJJ. fma e?..lU

()nrb

\

\

\I

Y\Q

o :3

.i.L' -Z.i.~ ~Z -1..2 .i-.

"'---~~

~~~ \

1l-k ~ p C~'.-L -+ t;j,

Fi-\MNM~ ~~ ~C'\.~ \J \J(~r -~tL