probleme rezolvate analiza e.c

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Page 1: Probleme Rezolvate Analiza E.C
Page 2: Probleme Rezolvate Analiza E.C

';((~}'2-1:;l'f)",,~er~3)C

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'fJ J Vo~;<Z d~'tCy) '=- V-o. 7-_;<2

Cj r(y.:)~ ~

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~~

-2, {loL'"", 6al.t J vaJv'qJ;,'!o v'. '.' ck~4~--?J . )<'.~=b- ~\tN1vl.U4IlPur.» i~~)S V-, )( rL~ ~ f x?>dv =-dk =:>J!fdx -=. ~:3

. / ~-X~ ~ ~

- T n· / d. f:. ";Z.iS· I_elf sa La1L'¥-il.t ++-C...) ~ ~. . • ,v:Y 1 ,r;;-;: /. Vi'- \(Q_~i.. Iv y.<-4: 2 7

'2), -L etAc~l.t . X't .f- C- ''l ~

~? X-~ -<,

(V- .r)2- &- rkM' rr> tv 10 !/I":r 1'/ rk-~ ~Z '? t1)( -:z- eLl:- '

j. cI~,_ . '2 S _ 1 ~~V(j{-t)~-(fY. VFL_Gt

-::: ~ --e II! It-+ Vr-I/---T-' !+ e

"2'/ Jv. /'x- J + VX~fX-+4 / + ~ .

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?-.~ . ~ - ~ t- -t t.-4lf~(1 +C-.

~ at (fi - (1{ ~ vY + f ~VII )0+ II +r ·, attufh Q~ ~cN{lA kt#1~!'£J Iti.{ C/J11t:J.fc?

Q.U ~ tL~ ev1t~Q..l-M'2. I cJ\LcL c;; u1 CJJu odJr~ ~YL£Jt(t1LlJl/rtLLq -RfJelzc/!,{JU/' dt J{l(~'.k),'t'Jok ~ Q tI.(

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. r .-'

.'3. Idt:r.otLlf4 fwdu 1

~ ~ O~ ·

~i Y ~}O

'(~~~..' j- 'J /' ."'''-~A ~ r· r

.eo )< A- f6 Q Qe&teuv .k()(-,If-Cx~-.~2:2 X~ 1 -+ ~ +., ~+I)"2- . a~.l,' fJUlUt'4t.

)( 4)\2.+~4X-+,f- +!JJ'X~1b +e,/:·-Q.-:z... -- __ ----_

()(-IXY:-Hf (~-I) Cxf-I) 'L ,

-:2 ~ X"2- '11~~+)(fA- -fP.JX2 - f/;)+~,!- C ·

A-+~ =- 0 . A-?--lb ~'~~ ~c....":::.4. -216 +~:z ~ ~~ p] t C-:z.-IItn.. C'. '" - ~ n.. '-C!- - V\.. . - 2-fh --<:2."Z ~)! ,rr - ''..)- --, V "J - """ 'C I

• -. f - ~ I'J =- 4 ?- ') ~ 2- ~,

A-. ':l. -- . C"" hi. I. t :z-:> -..., 2

\n \ \ 1+ I

. J1AU>u.u l.l.\ "'''''. 1'/ hie Iq

,f dp r I Jy, f I cL)O1&:-1) - j -1 (X-+f) +, .(,(x+O~

-;:,1. J.~/X-1) _lJI1/Y:+~ tl -r-,'.I)- ~c·1 ~ Jv. - ~-t'lI D I '(-I! 4- I .

" T..(;11 X'+I. - :z-h+/) + c..

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{fJ IVf·2-, S ~~: z.¢ +2'fC -r~-/"/x-zJ+~jk~+~J

" ~._~, L- . 7'2. /.

~,.l~I(~+CL () J ,"2-,

-:=z X - + Q'!. -+ J;--t4/r:-2.. - LfLI /'f;/ +1+i JI1 Ix-1 +~ ,~ ' ,~ ~,~ ~

"'>- {2 -roZ)( -}~/'flJ+~ + f+~ll1lx-~ ~ c .xL ,.1I}~i+9....--fJfIY-~+~,

~ .. J- -+ ~'(. '-:2 4 ~, ')~ ol

~ d~ .~.j 'X'l-(~~~'1+'5)'-~'fJ(X~'/Jf-5jHlf-+~~~5J

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"ft~(1-?-~ tk\)~~~~~!~'~J ~(fA,,'

~ • ~ '? --Q)C-rll-. . ""';2.. -----1--+ __(:X-1)&16'L-rt,~) 'X-' 1 Xi ~~

iCX-&) (~9-t~+5)f-!J('f-/)(y/~,,~~+(CY+'Y (xL rXf3) 2- 1(f y:~g+Xy;'4qx+5)1(i6X- ~Cff+x+5)~ e'f;"> -ljCx?-.t sex j-IJ'I-ItA)(+3fj = 4'If-y:~"4-y.~f.I-X -Ml--12lfX -IfA- f/!JX~~!JX~f6X-lbf -'tlb't-o~+C'f--'te~~(!~+lJy.'~{)X1-3fj~1l

f Mi(!=-o, .,4-", -h-C 'I 1H--3h -J;t,+!J -=-0 -I&-e t- 31t.>-~e-ffj=0, ~~-rc.+!J=:044 +Ib +?JQ.,,:,9tJ=-o, t~+k+ PJf'JC-t;~=--o ~/)}'flo(!-IjlJ 2- 0 ~! 2-c-/.rA--J~+3!}:z 1 /J'l:rI-lrc -.I"!/+3A "'-I 7ohf/Jc+-3/J-=- I.

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E f ci~. }r;: =& t=f~' f~ (J)'Fi-t;, rlyz ttrdi- ·

'2...

jJ~rJf ~ 7 fiZ!; #~1J:ifRdi~~r ':; r!l = 4 J t~1&-+ .rl-: &)

!2 ~ (Jt:1f-r~di + -111)1--;) ~

-,.)" (f+~';-~'1 / t--/) +Q ~ :zt+'rt-f ~jq/I--/.f-C'2- ~ vy;- ~ 1, V;+~14/ V>;-+//+ Q ·

C9 J 2+rl:x ff 2- t )C =-i?- d 'fl = £t-.d/ .

r £.&.&. ~ ((J~ _ ot r. I dt--)J .t+ t--. J ~ J ~+b

--=-l t- -")l1 /~+tl+c== ~ UY-~ lit/.{-r~/+~·@.' JVI-~ <Lx_ !-fi<~t: )(",,0-*)'2.·- \fY = l::- (. ;I • 2

\[\1' = I-I::- Y':<(-21ff

1~ [~+~M- ~ dx?-(-zvJ}r!J,

~.z ~f£-U:JJ--Sn;d1) n 'Iff"di -Jf&

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=:-- s-£kt:K) d1 I elf.. ~;t ('1"- IIrt~-r "'-- .Q. J - L ~ -.<. OA ril1 + Q ·\T.. -\-~~L~; t =f I -J

. - , ' · . if '{l=__y_,- =- 'It t- =;;>f-~V'---"X~-X--~- X

'2 -.-tkktw;t«·~' ~'ne1AA fUW!lJ:tzl/~'2. ~~ Ct!L(lb (V~2_'J:-1 -x) + C. . IUI ~b( cd 0« '

-- (j-- k~ Jt m4z~JiJ )qett.; aw. rk'vd----

&7\IJ~ ~~~./

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I-L.

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ItJl2&-AL-e ~6;L~N;" (l 11'- :J:t<,,) POo 2-0b.o.. i()(t~) J, .u-el c- 0 (rx ,~)G IR.>- /,(2.t ~t~IJ

i-.. :=. ~ t r-,-,

~=~t t-EL-IL,Tt:j ~ __._.>'~.~._~~ ....•__.. .~ .. ;~~_. _·m ........• _._ ......•

lS,j(i-,'d.'~)Js 0 5 f<X(+) , O(f), c(fl)~(f ..l( f))':r (~i(f))\ (cHI)!d f '~____ c. .~_._ I'J.-.. .. "'- -._ .. - .._. .~..... >'._--

L ~1 F \(~t-~~){(- ..~-rf)-~(-~-,Y-df = S(~t+tM)~~~~ft-.~dtJ ~ ~ .. ~ 4-f( _ -(

" \L- S ~t~-J'kM.-''l-t--t-~-42.·-fdt t ~ ~":"i{~2t"~ /.1--iC L-I ~.;j;~, ,-~, d~ 4.. -£:.. <.0.. '"

J)~c£ r--~~'~'Y7Z- r 0 jit:

~ I " ~;" i ~,,:.,.<t;- ~~t _"u-

Jf

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1v±a~ ~1~ (;:I:, Q ~). PO-q L 9.

0) ~~)(1-~L~(T) cL~ -t (2-)(0:~~d~ ,~L ~ £,<9k-u-l ot ~l ~ ~ -r-'L I /- eLl \ 2-1~~ F~~~ ft: (t ~'[iI ~

~~

. S~PCJZ-,I~It::)J;(." 0-V,~,~)cL~'tK(~I~,t)cltOC'"~lp( )(({-)7 ~ (t) I ai) . ;z-yf) t Q(XJ+71 ~(fl,E:(f r a'rf) t

: ~(fJtL ~(f) I c(~ . i(+6 it ~}~l(f~~2- {') • ( -t (~f\i1;' It} d1 =c ~ r--- 2f1 4 f~2fol~

~I -t") !Lr L is 2...1(..<= $-( _.2 (f C ~ () -t- 'J. 31-- ( +-_~~ '1 ~T -t T '6 Lr S

'v \.Y 0/ 7'/!l.. Co!L=l _ 1=~ is + f1j -t.l ( ~,1Q - 1.li. +-ill + b ~'12<;. :,.2, 5 '30 '30 30 30

= /1 /~,--_---=3~o_-------

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J[2-

~ lTL ( ~ ~f T) T ~ 2+) J t- ~ . 30)L .L ..JZ JL ~ R2. 2- ~-G

= ~~~'Lt .elf- + )!kC iT MDt-+) ocr = l.cJ· dt--rl ~2T::= t-~I~ + ~2qt -2,~ E_(- 1i:-) + ~ ~. f :~2. 1Z

- IL ~.-:.z. ~ ') - 2-..2., -~ .z;:0

== c2-1C ~ (L

~

e r (~T~)cl~-()(~\t)O(~_ 1 ~~ ~ 4: ~J DLJec ,(~t~~Y-dR. )(L-r d~~f.l.L'jC-u-fUo 2.-. ~ ~'c.

~ . tZ = Q ,,emr- feli[) I '2:11']~~Ql>'Mf

j~.Cr:L ~r+ fJ_ ~ r)· {-Q ~fJ-c 0-. (~r-fl ~~~-- r[ 'Lr c ~ CLt T-0,- .. ~1~ 0,- ,~

,0,-'LtC

=°r-O-O-(~::p,if) ;:It ~ - ~a it- = -T(~-2TlC>

Page 31: Probleme Rezolvate Analiza E.C

\

1'> )( ~ i-- ~ ,~ ~ '-'..~lt~ DL~rJ)~_ __ =;( ~ ~ ~ ~ 2-)(f:,

.~rr-=~- :t;(" "1) L3~~t~=~f "~-f~-'(J~I<j 'k ~ ~:>~ = J

A (-I(t)IS C~/J)

Page 32: Probleme Rezolvate Analiza E.C
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( I~ cL i- ~ I I +~ 1->(2-

~ ( f-O- -f)ll~ c ~ ~+~-A/{ t ~~ -2l-Ti-1,~

oI (I~j i-; i-L etA = ~ ~ i-1 Ly- - i )~1-cli- ~ ± (ti)' -o "'I 'i) "

(

'3> I . 0 (0 / I r-.zt f := I~~-O)-t {-O)~~-Z-co~-toC=-30'0

Page 34: Probleme Rezolvate Analiza E.C

~ --s~~cf

~ ~ ~ ~~ fZ-

Q) \ it> ~ e"'~eLf( J<s ' ~ ~: {(3'S ~"~ ~) ~ ~o

... x'2,= ~2 =~~= 1- M')(= d = ~ ~ c=;tR = ~ ;t = ~

- ?-o ~

I~ ~ 1,,- R~~~~~~d1oL~ = \ ~: (~2) 3oL((~

o ~ 0 ~

ilL~~(Y--~~).cL~= i (~~ -\~~)J ~ Q.... 1( I 1'L

1, ~~ ef~ oLA = ~ c~.y: j; =.i ~e!'~.2XDlx'-0 . 'L , 0

zL (e-X- ) 1. = 1- ( e- _ I) . 0

c2J 2-J '0

I~~SLi--~y! d>Zo . I - Lr~'<-=r =-;, 2 X t1~~~1- ~ '7 7 cL>< - -z

(;;j;;: ~.=o ~t-~o(=~L = r e~;{. QL'T =

I ~ =1 =--= +=/ J J -2=: \ e--'t, t: d r 0

Page 35: Probleme Rezolvate Analiza E.C

!~s~

(i;) ~1==~ !(f)~ I OCJ' s({(f) = c-r- ='=(l(i)=~T -=> IL =

-- (

= ± (t. f-) 'I ~ e-t-Jt c=f( c-el( =

o ~

~J-~'~/- T I) = 1-. .z 2