matematica partea a ii

45
G€on €7&t A NA+Lt-ten,, w ,ul.J= Y* -Y b/ X* -'Xb t",-fr^ ,l^,J, , c-{ h"* w* fr s J* poulo" * ry_y" - A^r(*-r,41 J - Jl+ * '\lv J_ JA I vv t0= Jfi lr d,l\lz -) ^^-{r=hz ,rc!A I J-2 =r 'r^r1 LMz =*4 i _') ftt)= V (0" -xo)', fl;rJn)' / )-*"<u^;.^- k0 4 lJ-J S"s-t i. CLr,/Xl G-L-L't 1\ :. J-.. J ,,\ 4a LI a&-t a I f\,',.k*J L; Ab 14 | x^ +ts . \a tlo I ' z / L-/ M Gl {a-larxc iatjr.,tJtl -t b '-5-/ ) t n;*1 t" = la{nrbJ**c-l r (-7---l- u ,a'4 bL fr'R'c v/ r4 'lb t \r, 4 ,utr*,'o"t l- {n {a -{n 4 4 4 X X6 YD Y 1* u /(t *r^^rJ| ,* d' J*'/r]" ,:L: a *+5 7'tL:-() c/qoi"- ?t"^-;lt'trt l*^ l{ry t {.c, l=.

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Page 1: Matematica Partea a II

G€on €7&t € A NA+Lt-ten,,w ,ul.J= Y* -Yb/ X* -'Xb

t",-fr^ ,l^,J, , c-{ h"* w* fr s J* poulo" *

ry_y" - A^r(*-r,41J - Jl+ *

'\lvJ_ JA

I

vvt0= Jfi

lrd,l\lz -) ^^-{r=hz

,rc!A I J-2 =r 'r^r1 LMz =*4 i_')

ftt)= V (0" -xo)', fl;rJn)'/

)-*"<u^;.^- k04lJ-J

S"s-t i. CLr,/Xl G-L-L't 1\

:. J-.. J ,,\ 4a LIa&-t a I

f\,',.k*J L; Ab 14 | x^ +ts . \a tlo I' z / L-/M Gl {a-larxc iatjr.,tJtl-t b '-5-/) t n;*1

t"= la{nrbJ**c-l

r (-7---l-u ,a'4 bL

fr'R'cv/r4

'lb t

\r, 4

,utr*,'o"t

l- {n

{a -{n

4

4

4

XX6

YD

Y

1*u/(t

*r^^rJ| ,* d' J*'/r]",:L: a *+5 7'tL:-()

c/qoi"-?t"^-;lt'trt

l*^l{ryt {.c, l=.

Page 2: Matematica Partea a II

G€ar'1e reie 5t r kt eortol'4 €T&

*"^ n^ b - e -2Q-*.^b r*.C

Lbc-,22 (u'+c') -q

4

'')A,^l'ct

rai.l,.r er.r'

r:1s@ '

A-qi j l-,1Ll

I

Dl\

e2fj4

=qC '' o/'4=rt:bf

ftt1 =*; At=

A=x4

thXc

|c=

4o=

f ,ut*"

nC\o ,= -(rJJ al/'N \a t'

Atrpt

fto= {

f -^Int^ '- Ah! hh beh c': e ['lI L

Lt, =

;-ff'"g,;l**^ oc1 nc'+ na'

o:u*:'i71' ,"* o.h^L \fu'., ry:,!?::fc-sro^t*' lH .Lntr*cLfutu

-u^L s clrunl&\Tto f*7r*r. 6"t'1^t^,lur;"ft'Lu J-'

f r"r^t**J^*

'7cs^ir^-^,,Ju-n 2 , ..L

c*aA2la+L -ct'

f**d qg

ARiA c'1ru'ut

,4^.^ =" j A- b.cb' \. rt ' rr/^ A

q, IJ/+

\-, ltr)Yc I

O,+ b +L.A

411

-o-,*l-

At1= aa 'c-A

Ii,..4ll'= cr I

// .t,',!I

!a

^-I_Jc.2M

4

n:: O<+5tL

,P

t1 =L*,-o' caJA

,f

Page 3: Matematica Partea a II

,t Arx-,11- t-t

c_€-. /1 :

-LoO -J_

@

D ol ( E-ol= cszs d

.*a \g - "L )= r-,r,u o(

+l(5-,.t\-ct1nJA \5- *t = t3

'r,

cer:In+ -()=-csa,{S-r,..t I itt4 =- r"tv'. J.

-tn ( lr +,I\ = (r ,JtJJ

\l

C;lc' ( U <,1) -- ctq.()' l

A) ".,L

X'- Cr_ , c^e f-t',a]

,d(4*/):c-sr*b tf**) -- -- -,r-w

"L

+-^(\ *s-)-- - Jqa,J \* ' d

"*g ( 5**) =- - t3 *

,t"^^- [elr - "r) -,. - Nhf,cs: (J rI - *\ : cG: d

,L1 (tn - "() : * *t *d5 (r-r-"1) = - oly'l

r

-

J) co"r

3)tz {=- cr, ctelR -)

a€t*ri rJ=)

Xe{ + cu'Lccoaic^* -r Lun I t eVJ*G

I

'f R-t e a N(or,/ €Tp) e

., c fe,ha s'fl*c.\c = !-lI l'.o'{ e i,eur 1*' cL

.: ' ' t--co..fsfrn culcuf t;-\a,ln ()

.-!-...--.g_-----.---:_

. 1. , (lt I LC,r t: LLL| l< L/!

ef^ etcr-Ul,l o\

, rL ,A- u c,/o lA -- Q- ) J --

+a .1 'fcru& 1^ cullrtwtct-lo

i/,-ie ,ary{c_,

r-u r-ru lcr

^cla"w ori,Jo

Tnl2txxw{.t .ta1"

x€ { (- ,r) K arc^,,.r o. -t- kr I Pe V I

X.e ortc.fq o. -t k rT

X€ 1 a\c_ f LIToi) *-- *')o,eA -)

Page 4: Matematica Partea a II

/\n .'.tLn''^o-o{

rd! (d+lb): .,r,i >t corp + .,t\ p coc c,

il. t*-p) = rrr..,. * cvrTa - n"u* p co. o..

C-or( Xtp) =Cq,\ * &) /5 - .x,.1- * r*u.. 7a

c-v: [*--p) - c^,ro. C*p-p .'+u* * /-*; ft2 (*"fr) ---t:.:-g t i! {\ ,\ (*-P)=+d' - t'/Bl=;qf ) ' 4+tf-tyF

c,hx "11

p -'lef3 x n".1? p

(,. -p) - d+!-+P-L-cyarc!v

trCC nuLG

czl2 {.0.1p) -

4t

&wC-t^- ')I r l-^2t+/sq-Jt.

,J

= A- lr.r"*rr. -- {.s-eol -A I e-ga dc( : t - tJ"a-t, + ty" 6_

t3 A* =p*r1 .2-J- -J_

ct'cSu-- t?or

- .-./q u- - tq nl"2 "l

1)

r)tr-\ 3x-- i "*. ** k."i,u3d Ll c"o\ "t. - 3 ce-: o(cor 3o4.=

Lr";/"fa' c0, or?r,L",.e"ut.,r------------T---

f-..-,-rDLvt d - t \) ,r -Cea cr-

r- -- V e+,^p!=+11'-J 2" -V ,{ -t Ce 't g/..

c'^ * --l\Ge!_"t,,t- I Lcl3 ul-. - +

Ii/ t+c".x' 4 - coJc(

i{

'1 .-coro(

Page 5: Matematica Partea a II

rxit I, n df = o{ -,n-^^ +L ca r l:p,<J ,<

ed or,- ."t,* F = ,L -; {:A cct.e-tfrt - 7-t- "-?*cpa,{-*f _J,col#g W+PCe:"( -c,elfb_ J.o;ht. Ar"^ p-ct

l- Z /.2

', Lld'- \ r - "^",- ["i-- rt\-:_.coa i( . "*r

,t{i J. t ca.o< = i7 -il f 4 *ol) :{f\L4 oo)/'[ -.t\\L1 /

orn^ "(' ,""" f = (Z>I-J--11) -_SS' J,* qe)')<-

c{4 x c&- ait-

,^ru* "i ' C,A'> A -'tI

tl P -- {!,* +t+f

" c.|9 7t * ,*) /"

d7 r+ &l f - -r'-"^. (.r+ r'r')

J ' e'!a o( ' !r.. 1lJlf= ,.-,,' f/-Xl

' ,-"rnf "..'\'r,t^ n

DL\J\ ..=gg{ --t!ItQ't t+Et.l Dt'

d

c*X 't -

.13 *=t{ Itc I

) -*:q .J-o< /LI - .{-,.1 .r-

/. \L,, OJr-{:* :

t-+LLf.i+9{^ cr'

c>,(, /\\ .-

J '/-

Page 6: Matematica Partea a II

X -4(':

* \,1 5z '-;-.2,

i

oI

'*.G (=

\t 5--;- 4

cr.:r._crLwr, K et_0 tL

nL

_[6

tr6

Lq

I3

"f;

GJI-CCAA X 7i rti- z-rq

2I-v 13

u6 o

X -\ 5 -4 --\)1

o ,f5_)

4 (1

o.tc lq X _Lta

*aq

n Jt-6

!*,

,r

I}JLC cvq x TC

vL) "Ta l!-q

- ji.

'c'.J

r,t-,w(t

ca9 K

ltr"l. X fvx, X tqr--+" \(1144^

tI

4'--* rl, ^1 2.- \J;l +er1 x

c-sa X .+ . -i----;-;-' \J,t-k^& o0rx

,l

- I trt{"i'x*I

r \-'-'--i-;.''- \l \ + c';a q'x

{9* ><-,./-X .J- .---- - --^-I \ A -cei;q

;--xdg*

4

cter KJ ----------1-i-:11,.t-\ufx

jo-4c d)'

,'{ A:5^;P_-.-i--''>v* Y

cs. X

fr]]a& -L{9v dg^

Page 7: Matematica Partea a II

rt'l t

o boo

hs /"0bo. 3u" .^oI /-tt

at15 cl5a /Jo

a1t I

LL)

lLp.

ai.aa

J// tf6

{-r\1l-Xc

a Lt"

tr1e

(-^{,z 4

-':l-2

{:2

I-; o

e,91 { 4 G m l _A,

/--

-(4,.t I, -4

t?^ a \\)-T 4(t -4

a-

T o

J)* Utr 4 il35 a -J52 -4

f:-,I

{

Jtat)

r'.rd-? 2-4 o AYo '\JJtLla

4to zb; ^a)ba

Yti!- Att

Tqf

JV2

5lr1,

u7l6

47i<tl

r-r{zll X,l

&G

---i-_\,

1*4

-{ }

4

G7-

.ta o

c€.J x T,l

^ ---L

o 4.e -;- \t_ -

J"4

I^rg

{g

z )l^ a^tl -4 -\Jt C

J

"n1X.{3 /t ilJ

)---6--3

I1^

a-4 t1

Page 8: Matematica Partea a II

/ rVt OU^uc

,l) .{r,.' : Rr .-t

L-tt', nV,.,- f-x)= --crr.," K (-j\,r..ir (^t f xr,) = .,r.,i,-a

(^,\-uv./1,\. I f-t, tl -l {i

J, o\cce: i I i, tJ _-'lc , nf

C\,ltitJt-\ t* {) - [* s;t-ccvr.rfi:

)t-L

-\

',;. a;l.J1 ./R,-:

CI-.c1? t--K\lt

t /\

) r, e..-y*'t-a- ./

,()

I ) co\ . {& -' f-t ,)1c.o: (1) --' c-rlc y (

""o {r*A )coo (x+-tkii)= cs)K

rd*r & p,,*o J; et )

tL. I )2t 1/cr-rrt-1 )

Gtr)

dliAtl'-x): '-

1oni,1cl.n.

l(2r*,r) + \ *,/t

i' 'li'i

C *,r" J1 ', il-.*..J.,',-.1 =

-t; - G-,tt cL!0 "i,! a:'-: :il

-'i i".f,uuo.

lrg"*^/x -- 2Tr)

o*1 r'.1tri) - Jt)^p<,". e "l r,r t* ;"a"r-*,.-.ll

fr

t4

Page 9: Matematica Partea a II

,{)

/)

&;*"uo'*"' $',.^.srt

'1) c\ ,a*tx4 L' .*", )1't c 'C4 c^ tgtx -r-"{, ('3 x +C - c

t' n r, coe<xe""-+ q ! na' ,,t*

,.>{ 'ltgttcuzi r)t'"tK:: t{-g;t - t

c,',*.rt'n *- cl

t c. o.1,". € 1. r.t r, t i,-{-/ --

G ,-x.,i,,.-X -+l,ctrx-=-C f :c-.tx ir t+ r^rkq1c; 9^='f61 .,ri,.2 I "t L,-rr.X o&?x 't c&,-r2x :. c /; Cg.t'X

'u 'L"s t c.r., "G1 x * -(

t-errct ir' -r'( en {st i u'a

, .J _1_ r t, ^ -r_LLrtt'=(; .r! 1.,.1 lt,-{2 >C. l'-qc, a?)--CrJ o t"t b

a_,{

,,-t *pto*-.

nJ )".

^( &.1 -i--___/__:_

_I l.^)- K,t -r- '\Ci -t )(-r

- )-c-e.&t- ---.If*,-r-t-rfu;tr^

Jtl,+LL

1r^/-\ ,, _--J_ .- ,-._"\ r\ {' c-,$ r \- -. -_J--:-=-l1' ,.\.

JJ-Lc; L =- /L

>t\^ ( -

.'^- r {*4 ,2.(_^'1 x_ .t " v 2 l_rt- -.l '-

= -:-_l:__i*Af t i III-L

,)

L) rA *,f * t b ,-; X ce:,r *

."}r>14A X

trru0t

'' --"-j'-r ca'\ = -'^a)-

:.t *

Page 10: Matematica Partea a II

,lt.r,..-3 1

\!'\ L : \.

i.r. il' t

./-

\1.\ /1 - r

c, )lt tJt!\ - I

/.t--. - 1t:- {

c('')c "- ic*:s tL - t:

'l'.

LA1 rl -:- - 'l

\-CA't 1il ./

L

c-l;r {i = |

,d.;, CLor L\,,l-tcr {"-

C".1c.}i ln,..i!'*\/.\'J 4

C",,gr.i, 5

o(e L =) ff-,Xei

r(€ toclV;"y, lli :-S ,l-7t C

-l'l € tc',.rlra.^ iL' :) l, ii_ .f e

t*(f1.C0,,6.-a,t (

i-q.ii C,L16q- -l

6. , ,

J> L' w,.-.r-,\ ( cxct,r.cut^

"j,lr

Page 11: Matematica Partea a II

IIl\.r

" ,. t ti rtc,.' Lr.i.( t'.L Vl{& t

-> ;,l.oot _"i:lg'.+I41,"/'

A ! -'*-At'.cir, t,"-L( C1url11 rV( Ll'l (;1,1

.:&dt €.x-;fc" Jr^l ,"c.-wi .k.t^

l*vLru /-- O

{,zirr rrux ,*L-li,, )

lL-

c rt 4 r\ ( ;f ga a,x{r, c .,

a^rL ,"ii, r,

Ir

,oi.rt+"rtr-ril t-tk t

- --gab!p*!4,,t-L-iil i*:**"J (o, t*{'.'fu ur,tt(r,,')' .Jo,r. 1^),\ n +ts-Llt,.erts-L :>tc'tc+to(a\l

!4.ritr,i"!:rr-,* -'1i!al*)**i..t (.o-'rr s 'n "q \oL"l." t" -

olcrori J rr\-a. u,ra^g)t:Lt.1a ,':t c-rr-,Lri IL.LQ .

Page 12: Matematica Partea a II

I .* .r^^o1i..,1

aA\ Q.,.r o^^ C

n-{ l-:J nJ-p (.Ll-4,e I t:t_ it

.tf ' I r" t)s t gr r.r c{ -( \l{itLr,L[t(,

X- tr-l.tJl)Y= -5urr5',lr

-q

1r-r.-.vLLL. 1 c.- tnc/alu ,Ac u' a,l- ) ,r, I l" u*.^-y' .,, ;U (- 1^-^

/at L-ht i

l,.l

'-'( iltu i'{ar0 i ,t =-) .V r lc.u.a)

>)

J

I

)= cA

*- {o

'-4#,u; r')

Page 13: Matematica Partea a II

J..ri ert')

.lar,ri -*6

r",--n l4 € A nc... - i^^ ^-^scW.r vzn uriJ*tu o'&^ A-----rl-'- .\4 tb)te A =) x s n^pfl

rylJ * A '.

ct1) ,,| ,^naLuJo veuui't'o.Xp i1- '{.ru'

('\ (/) x e A -; {>/ t*q /)

Ao.r. *f, A e 4 =) e/u6 "a ^^'<*.,' \4-\c e

A' fr ,n' ffi attt^.-t ^ua_u;/^L,-A

Jyr-:: *^rj: l-:l -ry t*:-rvu JJcLcf ri..t-s> A / {t -s /} au ua t*,r cu.-N '\^c^a

I ' nu\{tA-{ zlat^ra-{,

^jfr

{...c

2.;4t. d]1"

A ^f A e A , e-l "-rL ,r-l ,,,,tttt' \.r,tl nl-*-J ol

$, 1"2& \t rotl UJtLut*J ,u-u[A^n ,- A.

'_[tza ,12+l erL

a";^ A

Anc^ ua{ A Q A =-> fr n-L\ c\d h,t,( e*| ,Lu a,l

^-L,ctc eln^-e.nt.

I A -- (- h r f) /+ nuwi,<+iul,o,144 a_& .4)u nri ft,., \_.

L) b-- Lr , i) ^"1 O-- 3 e b *> ^^f b.- ,,a;n^ b - J

^ ".X"

\.^{ur?l^L} r; .\\l}Q-ua\ =, a4X VtW^.**d. = *R A { n

" A

^n ^,t cr,u t*n u), ,^ru,uaA4-! ta*tr"ta,t { rus n'l^nlo'

^o*, )

'"-.p b'- i 4 b h n-u- c,-^e,wct_/-i-z"t,

\V) 11 t: - -'.^iev,.*{ p""J"^ g(/\".,t <- ) f&r; l yr,-lu.< b,

')tP,t-azoar*T

Page 14: Matematica Partea a II

h( {A )1h)rb ( x61 y,o)

oA-- /6i.ioO: Xatr

lW^". v -

.'.t Vr = 0r,t -vz = Q 2

Ct cL.l^" .k0t

= btaz bz

Jq d L ^ t ,.t\ L'sl-\' /u'1o f .l

\b.lt..

llo(xo - (* ) Jo -'J")/{A= (xs_-Xfr),l +(Y,s- lo\ f,

-n- totc *b /u

l*b,iLt h)

A

bil t4-{!-l! Y!t^I

.\LL: ,,\ . V c." A €A

G.,c["1,. (\\i 1x-".7.,r'rclr.1-ir^-:.ln-{.

i;, .-l Vr Q=.t Vl Ur :c ( -, On att bt. c.:, = O

Cor(vt.J, I - V, u',

tvt l.lvr)/ttr1 . ;1q I AA/ . lAcl .

,t1 -ni\ -t t\(

Itqw!^f )cra.ruLtcr ry.. cu ,,_.,..il.,

A r'\." r+ C - ri r\a\ c--c r l{/b( A t\at (Ll(. /.c,,,r,..

J

'J'\"!\,/

"-lJc

,"'n y''iu

v l={*;1,12^l/'."s f Liu: n rrr--ia.,t

V,,,V> =, Qs' a.t bq'bt

i.,:>V G.hr..cUr./..[o /

_ cr, 0, i 6., 6,,2_

t\..".. t'l - ;t r i

\b ,-.-t li. , tJ(' , L. tt tv . tl tb _t A7

Page 15: Matematica Partea a II

e.1; P1r P-l""**- ^-* NtctJc TaNl i

'1 c\-r-r-,t- (^^- uJo ott:c.i-levr- Jttc {o,ua * i _;:;a ! ui(

-l\ i u.. tr.r,J

=I;{,r,. 7'l

t, i; , ,?,^.tc\j,\- X..,,.I --I Y,it^ -t {

b..oi

Lk c,Lr.',r,-acL tc-r- oicrrcii t'l r/i,t s o I '-irLjr ; ,',h3_1 <.1,. *-_ \- .l

r.-/lct t .r,

X* c.cl,r. ,*fc,r- X, S l(..

(\ ,Aro-oc.+ii.acc^-)tt- (\ a {,r

Arl$Aci^/rA€

Yl"^ o#. ,rrroi1r,^-.-t J..t. J'r-', n'! ./f, c\,

] ,r.,r- * (,r. a l/l

?r,;l'", ,r ,' CcA/V€&GE/L(7-e

!""..",-t X" -rv < c.u,.<!Jc.tr. ('-

.rlu..<11,- cr,,e i r.v

L l',7.,.q. i i u"r i. (- l"' ..

Vs.w:Gruo J.,t

t <-:>

'1.-'-. - L

ir G -[t..r.

,->!r 1l,uQ1,rg I e1,t \r , }u rdl .c],c pr-s (, .J

C t-l-lr!; U o,ot .

D,J

e; €.,1i

c C"^, ,'Li-',-t

/, .J,. (t i,a1/q''. I ",

.>( l.,r(i.tt

Aa r zt ,L r 'i ,.,,L't (t r \ ( 1,,i.

;-f"tt,,.c, r.,.. [-r\ \ r(\L\ c1' LJ.

t.i -.1 :.t-fu,u" (l c,.- h-r-,^ c, -.. c-_.

(

il /

c\.L\ .1rr'.nr,lr" lt' c t.k cii. ,i*r flr,r,( .',l-.l.\L\L c:7,1 '( (,\t i lJ-,rr-^/r,t,. ,ltv€,,rrt, I !,,r{ (tu(

ca u'tr f -(r, '-1,^.. ((

,r.. ".1., .,Li ,.fc.eT

Page 16: Matematica Partea a II

-- t-t. /. t ^ .'i( -q=:rvg.ado- ---i__-?J.

I ,t,._roq

:) C\^ c€\virr..\ -l l.:* cr'\.= .o-

Ci"-/..".rq . [r"f.L.,./

t\ .... c. Q' .o 3 Xk 3 b.,o-JIt- tL-1

..) /,r. _, {

e /rl, r,l'..,-,, /

=(

,rgf^^-J ,L n (L't c t -l-"'-l+' " .

i') (1

'/tt|'^ 7,., .,t 'Lv,"a ' 'u.r.,_ _- ( :)' V -:' "; '{"r

:a{-\-r.r-!,v-/--\ L1 ^

!.J&Ac..i'

C:rt\\V L^(je,,,J) .^ --- /,t

.1 /vL6 , a\ - .x\l !

C,-in r.-.-( CL r....s- 5fsr.2,,

.l,"i re'r-"ur.,k uLrrk c\i. )Lr..p 1--,1 :i ,- ]{ gr .}\ .,--.ru c'i.... rrJ u

1

rl. (!:l-* 3r . e1^ -) \l i itr,, i., - u"\

$". , .-. lt *. t-t, ,-L", ,7

l- U1\,.e r .\',-1 !-,,

; A...ro [t1,^ ) *.ri

1; {\:, .:,1'1^ -l '-J (1^

rt L\ (.i. J. (lv*'-

"-r',, L\u

J .r u-- (/L\ r

r^ -\ ..!) l,u,

it t. r , /l- \r.rul) -\ I

C\ 1,, ,.- C

tt., uitr.:<-,ji\ .- \ '--

L

-" I -- ) ia{u. I rtL " rt,1 tu-f v

'/

Lr. ->l ,I

{. rt. :

v \taQ /L o,

tauv i-a-ytc.7)

1. vt)

6', Actcar

/-J.'. . ^

C\ u, >,- 6 ,6

c,\,t,, < 6 n.

.t'L- -)<1)

, vt 0.vr -->

ti* -'-; Gq

---) (i, --r - *

Page 17: Matematica Partea a II

(4;e -l*i B*Lfu)

---' L n-/-g$4$e d^.r. { c,Il.ru"tJ^ Fr t ,, urf^r,J J ,

^-f,^.*"i ;JN J+rr; .""1^-,t c'er.r,"rc_u-[,n,^l *u qsrrod.;.'i

t' t4:O .e ^-ftrt- .-l -.rr.tL( o >s-t,u,lto ..^ €trt./tf.r

*nl =o'q{%d4 /Wt^$ nt_tr,,i.,^o,Ll,*-r_."i,f*^ ^ec-k

^fu eu^r1r^a^ fc*\= {\-i,ey'* eeu-Lr-o1 t-r= k;L J{ x+ {}=g- f q c=t {.\- 4v+ 6 =ar= r: r "- + -(-" =t /alii ,"*{,.^-L rt, {/ ,^1=s

u\-4r+G l/-.4 2-t +t-6_-o'J' .-l F,-- -r{r'=4"a1 1: ------------=--:- (, ,,.' ,y_ .r(b_*3

'-u\-.,L lx2ax-6x -f V

/*f/z rX t[:+ 6r*c--/ T*

f 'r*)-{.*;

, L-/ y -+{ + {)

'-vL + Y

'4^ Ix'!r q vz +) \**\1-o", {." (r'\l,nr 'r)qt-kl-t.pX-) c\o

4r*r) -*t?,t, ffil= 1,,lfr1 =,,

t ;, ,t\*ba r:otqzrr.w.( ol* A^r^ *t --)

;) ecu a.Li {ot =- c c\1! oL-^l---l, Y,. (-.o,- ])',n' go€{*l;4f't , " ,v

,, -i*,,oslu,r{^ rw"rb

/,,,diz".

Page 18: Matematica Partea a II

b-*t*l-,J.-. &"1-&---

^ ? a <l-t 4on =g

;lt'cx) - v *$"r-*n^

.L=) 3x -r- 6f ({) -o "r'=O (

,'{6r'r-^u';yLt'1.r,.' l.o lA

:, 3x (x'-te) -C4(^=C $.I

r'-'2 -

IcX {,tr,r /i {!\cL

rr-\

Jt.]L

-4cuvt I t r; :I -l -. '-^:

]-a"wwt t(,aj : f .*)

{ -:) (' + c:" fu,lL""t0,, clt..1-,,1 tt A- F,-,

.?J(-{) tr.t + I ..tvl

^ru\€(.-..i,]* 4) -t- t*J^ cLri o .z'.-*l.it* r.r,'r;

-''/ 64u'\o"

- /1. (: i,r;, "..,. \fr^=- I c +(: -, ' --"**_f-**c c,...ruL\n a( / 1-Li

i-., g-l.&. u (1-l{ 4t= lz = -.1-(.'e (o (-r)ori d (*cr; o) -t + -a-c-^.{ d\,(a\ (L\l Y.ii-l

?sl],-tL '\t-JQx{€ (-'\,-t) rlze(-L",

V^ e f - c.-\

naA : O.

rvae(c,'..r)I

i

+ Cr +

1.- .( " ,. : a-_*.'a't t""icL,kcr c\U / ,-r-r.i

)l; ts/.:' ,-r* a_ ((

f . € /-\ -)) X":X, -- C

-t j I

I

l

*.u*:**-Z-*:I..1. : --..!. *_lt..,.. L,'t c\ L. (i, Itl:rr..r-tptr[i ,st'..L.'. i

,t-\-r.zrVrt tr,€ (^'-)-Z)

Page 19: Matematica Partea a II

A"/" r-fX++u-tLQ._____-_-"___;,_

{\\ (\*4L\l

l*JvuLLvoo t (X =, .oi - (<, - (\; - crJ

(-r \ 1 I 'r )- f . -.

1 c'.r \_:|I

(5 -t \ = (\ ,. qD * q:tr :t: - <:.<,

;,L ^lo -) o-'i: ..r).

'frie=l(^

-L ut zt : (J

-1,,4 .5 = o;

Jrr o = -'..,-Lrr (-',.a) fuu qrr,eLu-

C( i I ) I ('"t)

q?

) ".)

.{.i) \*l^--

. \.f

.

l-\

iliI t=( i

i €e=4 ]

l\-)lI A =

t--ll-1I -!\ I1€ -c, I1l

(:aJ ---c-)

I

.\}L

{r f ( / = {

O

(f) ,' .^in*--.)=c

e:r\'(,/*/_ _) J

(')- , )'q-

x_)O

-(nru,>{^, O

/ 1\ I)tl -(-t'.q,

x^s O

t)t.r'i X _1

,^ g,{r., tI t:/l

(,-tuit+x,l

,1"";/-'c

' lA4'\

>--, .1

,ltiut,,i_

,{ -: C

e'-l

C\,1Lt+1 'q

X

=4I

.T

-, 1

-+ 't,

tLtt )at F - >tz{ i.

(t^L^t) A > * -J-

e -9, in-'1^ -) c>a

J5 -4-" (,,lii I

ill' -\ \

X

)c)t{ .,."^.t

_t,41.

=l ) /.->a Ko-> a

.. nL 211q-- 4 -LL2 4 1,r -r'\)

Qr^.ria 1=-|

4+=- 1_ ,l2t.

c^.4- I

= trL^

/\ra

\&!

lr*'

A^4-r- \

Page 20: Matematica Partea a II

IAATP*IC€

bA; ,.

O o\cL))uu)/

i c o\c i c)u0,t ,/

t)=(\ I )[; alA^-t o J\^-\ " c ) t

J^ =[n, i) ;

f j) M=(t +)\4/, iltr, = po,,

/ i t4'i? I t, 7) = lrs-, / \r,

LI,,\,L

inn l\r'stb,l c

IC

'-i tJ7' l

I x*L^r^t-

,+U i-,\o-r r* rr...No'

{wt a.-f,yl'a-q ,^L{i6

) / c-.'r

b=[-5 Y \ :fl-l'i(.-y -a /, \?,

rt, 6 = (. i i,:;;, :::*,) -(": :: )h-h=( t-r-sS b-y \_/.+ _g \

\t,^r-s) ,-(-1)J-[,r- ,, )

A b =(\ :) (J I;= (,',,:;:',;:j,": ( -ta -f\

\-t"-qot9-21 I /.-r,;2(-er-l=(-e.,

,Jo"^- k=1"

ilI l n,/.\'t 44_

4A^

A-( L 3\,'-\, s / )

1113(^r)\l'

hl*tt-tt /

)

r.35.s

-t3.- it

l.-+,Js-tta Mr ct h"t e- +

L*w-n1J,^

H,,,

P= I\

A- ry"hA,t o.ia-

.-Jg rz,".rt lil c.r-'ta'1-t!-

7nS L.. n Lt r r:( C{-Jtio.cr rr

/.12lt'l

\ r5 r\

l \;: ;t I

Page 21: Matematica Partea a II

c= Rd: a(: :)=(T

L\1)u)/

"t;

n)c-- ft: zU,L-

b = rv\-

n /111 :l.rI't5

-v l/Wr^)^^9

rl 7

A'l vt 5\18

^, I n x:Ahl

t fu r>{-tA*&

(, 4:6

.*-t**^t h' *L" p-(t L:"i

UN A/ t{/A TQ, tui

-\ At-) S :A.X= n )hJr,t

:)

A^*^i"L- J* w 'Lnono,ley*'r-r"^a-r.prJau

i) fn(fr).r-.5t1'tr,

€cu A r, ii r-ulr &r c CA r e

A X 0 =f/ -{lb

-t ^ i/,Al '=db fi ->l{_b A^'l,.rh

.-l -l "-l ^lQ:) LJ x,016 -- n-,e,6- Jr1 Jnt." ^^ -t_- I-:-) /^.4_!4 r

l_^/A

t/)Cx lJ'4^iA WCt-Lu c,,,,

or:(L : : )

Qr*1t^"1;!^ ^,,U X'x-a'"n1't'n"c"

r) (n')t- n

L) fI A): A nt1) (fr+u), fittatt ) (A E)L- (o n)'

Utn n

-nlh/

Page 22: Matematica Partea a II

\o",i t" [: 3 ) , N,( r&)

,L

Y- (r'.-x) , x *("&J x )' J": c{, / Gn L) 2- Q" \

Ar..r"' x-/ qq qj 1; )celr6p1\ at qt Qq /

>(\-(h,x),rt*o x -&l x \ /", -a,.u^rfu n " o{-{/ur.\ M,t,io,vuJ*^' cata-tlu*tt A

"L"'a*6"A*z*n*[*^' X *L^-tt f ,,L'ojw"l^ W"^uFJaa

1**& I fi= [-0, : ) tr/ = ltT -rcd-t A -- l?r'-X)=t :) Al ,o fttJ.= a2c) rl? r,o AL-A * 11 /1 -," Jz

n\ q. tl + \^ 7,.

hA-t+3t2=G

.,=1,, l)" l', i /rl^,\i =-.dtl h = -t'?

=) h\- e r+1- ZA*t.g -l>=oz.

I ,'1

') h l :; i)( 54 L/

Page 23: Matematica Partea a II

.io,uv.t,fii c,<

0 ^J,,u. -.t l. v

p cu I tot- l,c Cr, a';t - llv€,vrc"irtls." <--5

/e-iI ./.s-f /+

-A\*,.' A 'er.tr L-

, cx-l-g-;tgiL-U\

l - - t, IL - 1/t+

,) nll_..An_o{Lt /\

i,uiV{ru,lrt n^,,,,Ctiiu eo,i A

A 4- A'.A- J* = f J:

An *G ,",,! *^. f *

-) 4 i v-LMttb-lc.

-4 I +A I A" ^"AtAL't fr

1p^^,i"ut A -i !

- ()

'r) clL{ A = J L( - } I

.\ -1l-) h"=l / )\\ Z Ll /

?\-)

= \-b=- 2 4a

_l )z/

fi=Ja

ilti").(;r; i',.r')

(: ;.)=(;-zn n -it/'t*hr, A

)',, ^ L -) \ "UA=664c=)( ,t :2 ;' ) rl p'"t v 1r"t 'tL -t i

" \ Arr " {-,1u1' 1'; ^r')*'L-2 I

1' / Arz -- { o)^*'l-1 f )= -s

i -,n l-,' , A'n ' (*r)'n'' l:ot iA:'u

t-ZI\)

z

(t ):I a ,l

\

,h tJ A=

il A{={ t -,tlz q

[-t *1

Arc.. i^,,'*) /' \ / l'

Jav-rl,r.lcu ,t L\-rJ'

Page 24: Matematica Partea a II

l-

Jo.o

clac.. ,l^

\Q. c.,.-! c-r-.ticvc' L*," ,( _) f

/

4.,.... -1o.. It*) =I _rr , ..r

,A-)+.,.)

fl siriercr-e -

{r,t .c.-.,

,.. 1.. .:, ry:-!\l ct>"-y-,fel,i

Ltr-y1r.r"Iau( c[!.

Aaco. I' {c*1 = +'., -;>-) | .1-u,. cr-c{,l,..rfi

<t ,",--,',1uii t, u.;-r-r. 1.'-&

4,...^ { zuct r*^,t . cL\i-'-\F1eLt u-r,2arzJ.J{. :=--)

{ q* c..L',ut.-L ,1,t"*^}o1*& v{-t'cr

f )-h1 ; {-(.r, f r'. . 1,,,, lrot t ,-x /- t___ri{r__ }

\r \' '\

t<, it 'h

u arL

U c.t( c o'. (i,, I ..',t-

(\C.r- 1"r..(,aa( r.(.il{..,,. 1."', l,*)

f-_; cLI z- (r-

t;?st / 1 tr- Cux*,lr {^< /r. t'GLr trr..lR -,) y

4 tfr=,f

,lo,; l{,.v,r"-1), 1'

[: : */ 6.1 "u'.,.p{s /a-, r,c.t,[,ir,_(tr.,'

J^o* {" -' 4J v'^-J P* =' {"^-''t *o[tt'-hcL>r-r-u.1 ltulo ,'*l^, o 0

'*)*t'-e l

,j4,1 = +

'1""t ctdr.,,u.-tc ct Iu^. trdri"b'F&(t'",.

LL\ 6rt,.,-c{i

(i '"(,

:{o,o.l*,.'lLn4 -(J ._ *(..-r (, *)

- >.- '-) Cl

{ > X)_

Page 25: Matematica Partea a II

It4= - xx -- 5x +,2-

\"^,t,n;-( ,,h At-h"^*t* ^1b**t=c=5 i:: "'.1 | = rL \ 1,', z3 P..r^"t-U (r -.1 .-, xr-|, .,4 ,a-Lva*1zaq-

P**S & ac,r.'^i.u"ri pxJnu l.U "^.r.{o i^-r-urtu^,r o.J or*Acrj,n .r,eccu-p"{ u1c-b u erl, crJpo .- l' *\ |\^ - ;:l k'-l--z '.J = ** )"'-t';|,.#r

A"iiripfa Te

otu otr,*-l ,*r"6 =., { qr, adr,."rft ru>rr*yr6-6

/-t=gfi.3-l*. -- 3:r . 1l.*, * *. u)

l* "-, \)

* y),, x'-b x+ L - a t ,rn*r,r6i 'r4u[^.Jo"

'['r.=*t^ o] - ( .:- (.t.j l;:j x'-b'+l -c 7--'l{{-

+, = * ,, *t - J- = -r'u Jo**'rr;a: u'fi"'ln"'u

i--?z x'-\'/+L to l. t -l . l

/r,c,.,/y'u{a c,r-o.,.1.i^' ^k, -+;r=) *-1:\ };-; -^

-

d g*-tut s\], cr-------f-

&r,,t = -Lrq *qr)A-:!\t x /

u'.,p-{^,(, .

t._L+l

-- 7< -2 r* \

."^ -/o\ = 'l)

tu- = Jk. tf:g- 4,^ -J- : 4x-t\ x r-,I*.(ot-3r+X).X*

^r.2L*,^n=l-. (t.,,-**)= -U | 4---- --,r\.-

z"-r 1 'r: x-rv ( *'- )xr 2 ' )'

*2- x1n )*"-rx1

t-' )x-t L

l;-PAE *ca.,'l

- J.t-. - l.\"r

6v- ^n{u-lr.*';: ),lu

1f,r,Lrc "'

Page 26: Matematica Partea a II

?ottr'laAne

Jutn^" ola nLl,^oi

{ = a*'t^+ cl*-, {^:t - t a, x'IQ*;0,^-,;- . 0, )4. = .*c>!".uu|L

Qr"= Xrn^ot^uJ -lrlnuut a^- t*'j\r-i-o*l^-t

rlxl

)/

X= otqo[je1,ru.^0-Jo,

nt = 1".,.oLj fi*Urarr--k f pula*u ,'rl.. ar-s^. d, tl-td. C-,C,,\-! oJ^61--.! ,1,\-LCLrLUe,\C*-t .u )

-fe Cff) , pp,(rrrys"n, c^u ,sa,.[.,rtt"-,f^ ce-t,.7t(tr*, ('Ar,e q)fe R \Y] - pL^.^ e-^-r *4.i-r"*t^ rua-0,' ( a;n p

1

.ftt.)-0o+01 if[o1 = oo

+ Q.n- (*^ *$*n,i,'6")u'J LL^)

ba,c,a rl{ i)o\rL - )Ao+az+ettF -r e"t:

t^il^ |1=

{ =3 c-: A--&A6= a.-f = pd.= ;

k*a l?t brl+ cx + /

o.r.f lr noy'+ px+1

cs1'{ t eo

,hot-rro..1

Page 27: Matematica Partea a II

bc.".i- {= a* d\ cl^*, {ti] - ,-

c^-L ,.oil***.t {, {, ,or) *

.{ = 4". (1*r,) (r-r,) - '

f uur-nu^.,.

Q"d..-( ri*p; tr;)

Go4X tQo

tu , oJuuu'

( x* **)

{ * ,.^"*r^*rL &e dr&J'Lg Joo* /rr.u HA^r-*^p; , "roL'.i ^Att &"..t n.clocr-,uuJ.Lw*^ nnnyu.T,u o" ,

7*"'6n

lA

{

't -b\.f-'' 4 -4

-3v

t:

{ l^ /-- c. r,-t" { f n)'ieev" " q^i

e'2$4d_

4 *.t -Z\ 4-" -4

*3

5( t-.a -t)(ty\ -

v\

.>Q* J*;.& c-* X * ot <:3 $ { ,o1 =_ a

- l{er,n^-q}L

e4Jdr ;{J^ dl..-0 *, .nnJrLyr*A^""-1;' f - r i z xzosx"_ 3 x +

g'o-.,l

cx): {'- y,nrr -r' !'!fl

i 2.(-r)+t) ( z.t.li) 12,5 r 21

+Xt^ xL+\ x +3 = .J.*.dz

X X

4e Pnu l"t^,. llJ( X.ct r--2

26

.i1* ^v" n:fn-az'l.cl.

h' 2: 8- fq;ftQ ,

Page 28: Matematica Partea a II

5S,vn"u^ "i

.J \,

Rnln ct/Q/

-.''''7

, -l , !o( 9?tq nc,{./CrAu-c.r!'.J (d)_o

-livra-ua

J"t 1 ^' A J*." fplt***.* e.ilqp*y^ .^ {^4 /tt,, pW *

X

Xolnn^;,tu { (1lf ) Ju,^ +e{ac-i )n A |ird*f i-crp.r)f,.,,r,,,.

a-ft l,"st * n^uJ u-,l! ).'

'lqgta,.^ r.-

,t]a 4 -;:\l>24\)1/W< 1 '- -

1/c."l t; l) n"ur>P ,u-, yt*rb1"f4o1

cct

' lQill%t-tct Ao.o N;t oJ*",ur.,i)ncrun" c{ l^^

?i^ p^t'^ {

C-L-l i>-p,a/L

s/qc/a-/ ^'tl ' " c-

Ac4S JlqC:tACLdA

-nrud""t-"k

?u*{*^^ cr

..2tLIb, =

", + Y''t- 4 /^ -: 5r'_ )b,{a.i. 5, z- o o*Gr^c, + /L-r.t cr.tq

;-'rr..i..aru,jLfi*4

,t uo&r

Page 29: Matematica Partea a II

TfolJ$W.^cr.

"tHr-crr3-U €<a^-9''L'tu <'c+ t \

r)

l-r-tuti.,r n1'd'r-'t'r-to'a- C;€rlLLlpLLl. -,/

a/tadAJ,^^-o^E'-Q at ol-uo ^-l tti *

,l {tan_o,^17 /

T .lo"it"ab

fi + a,LdJ Eu-'lJ!- ,/'o-c c,

^ 1- 6LTI k stztc4cl ,o_

l- I.[ Ls>*? i -tlt]n-=lt-\ ia-"' teLo'rr)\, \T{;, , " .J *t""-t .l ciu.-^-Lr-ng , -L !)

\) c..{--- 3* "

'>^'"^ ^-

- ;

i).l __LL\at L -"J

J'o,u

t.-ar 0.r c r,\

^ - d)

.t Lr

.r(d[ cc\

/'^ - tt-)

/-cX CL c c-,r.

,41,'f

- -at'.4O --Y

L * I "\,' L- I rt

/-t. -> /l.r.>o a-' 2 L)-' - 1 -...,;n6 - fi- 1r'4-- i)(_^-/\ vr I cr . -./ ' L L ze

. L- >(t

ICx z O b< U

/

, [--- O

/a >o tq<- o

/

^tC *,r*tr* c-.-.--/it-^-"4/^o-'t4 --CPL /&t!-t-_-"-Dlt-,-ctulR- V-!--:h4.v'; LLlc(a1r (1r&re /Lr aa

J - )L ^(tnst^+i-t^t');i = x*i c* 'Ls + t- ".-* tr)

€ t r (il)r) Ln,&t= \,r' hr ( tt^ ( tt+t') + 'L*+ 5

,\ *L-' [rr,1- ti) + L-'.'^ (-n^)= * ( c*-€l-- (' -" t')'l )- )ur \

%) eL -- \t { c*.(tr-{') * i "'L ( ('- t'-t)

t'l fl= x* l'"-' i r":!_7. )= 4 ,)

t^) Z:: *l(Lor.*t1-*1^"'ruta) ("?::

H,;':;(c;" t+ r- o.^'i t) t tt''-*-t + t.n; 'r'tt '

j

"i.:

Page 30: Matematica Partea a II

- 7 /f\ 7Jtt L e L' /L-tc'a-\'

*= Z .a ,^-'*r(o

R^lo**^ -klo

C>l/ut,l r-

fi - ur..' Mctu,,ur

e\J.,t'-^1 n"L

C +D4tr rc.fuVI,

'r-o{J* c\ qa-,,-\c-l ,il^.,^'.licrri.^- ,k wtJtr"t Q L\ ^ L^;7

)aV

L= n-Ccp,t tt;t)I^<-k -

^ . .\, -i t. +"Ltr iiI C/3-> --;:_-\ ,'" n t-.-* {!4'iJ k-.-iu',,,- .-,\' 4'L- /l

/ )-' J

\ i-,..u do, ,*tLa c''-Lx cl .-(t

,

-/

\- ri ^ /,=-) Z e= ( J /r.o t:f ,.,r

* . p,5 C!\43

nn-,-"t*rt,I,--lo"' I icv..= o \. (o'.*;'-.J /b=9 c<rolL-ro-> t-I

y'.=2 lr*-,!-, -' ,, a t - G r i- \r4 17+ L.l,a^o a/- /.l ). L{

- -!J

I !

-Jc

k -- o'.r '>I t4

--u*4

l(:: o)t'L,, - u-4'

Ji: t (w r{ .+ t,,.,.^* ',f)t--l(rr,,{-t,,^,y)-

lc - o, / ) z )

1

iJ

IllIt

I

,rt

4= La"L$

{:lt+t

i

I

\It

\

\

,. .dI,Lt - (J.r - t.-MCr tl

@ft-7-). - ctn 1k/i . i'-"* 45u

4\/o'---\ nrr,rit)'7U(i -r ,( = c{ -a,i

f"1 e Cf

v\ 6cii

t J t +t\'il- t art \-{' 1v^-

Page 31: Matematica Partea a II

?aJ;r,r^t; nt-til,,&I .{ = (o-ott (* +z) "nt tt^ d^"re"^ -L n1o'rl 7s e-t

"it);u,"-J* ,, -. I t- * ,l r*- '."t^^u,lt no./"Lr.*x"'l t, t Jub'to'K1= - Q'

\..^ /=-,1 lirJa6r o' tLJ-{;:> -{ir)= s h'{ 'r'1=o t

( I n/* n^ld*^*" v y*,^"[* { ^' frnuJ,.w oLuuo-fou

"l' l=V-4b(r+j)(x- tl t'ut i,,'i)""**' .-ln '*oJ rr^Jocu".t..lo Xt= 4, /u=-% '=) {=& ap. n"r^"A

'/z=L {. --l ,,, L I tu )

ii=Z ) nct,cta2't,rsu Lu/"

=) {tr1="', f '{^\=o, f "1zS=o

kiJi.r"^^ ,-*^O: u g"fr

/ J.q {, ftrI,rl &"; 4= a+b t rtrtcJo'cr^n' :)\..'' &z = cx- b; ",N" ni/""^.,"

A, {, Q I'rf E^.^ 1^ = Q+b tZ

t) f, vTvl )

P-;r)*,j'U+ar*^-t^^rrL;

A,."^ d- e7- -)[.'-uu ']-e Q

=) P/^ /r1

.\, dZ *- a - latl ",1

niJ^."urf :,n.ld;u;o'{d-da)

/c*1 . a. '{\ b K'\-' - nL\{ + /u-

^tr* V' * .-k{^ {ra,c*-f* ,,L,tr'2*n"^

"l"l"tJ.',rn i d- (* Itn-arl,""',9 Ll*^)c-q J -- +, ( r;Z Nw;e *J* '&l2 \ /

2lobr?&/L*v+|-o . t:

ca 4acla,an^; t )., t zll\ (iFTl

4u

LX-o,t^xf&tI

faa/3l

oaa^u(a+j

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Page 32: Matematica Partea a II

LEGi D€ c(,ff /'C l/ 7 iq

./IJu t1 + t'' , 'J€ itcctn-r'k A,

dt-&r,-r. ine s-L g ,.x,&t, ..ln-o 'f '. ft v /!-.-l- t---, !

tt.;uuic{6r /.D1{.v"- (^; y) € N xNt ),i,v a Lii...c.{ .f r<;gcl*l

') /")

(x,-t)----_){rr;v)t(e't,1.1^^ l.'X;7) -- I to!-, x+Ljt).)

l'gvylc :,{croc.{A ,l ; r't j.l .y ir.r.,. ,. .r '.l.(.1L"tw:*

c- (L i 1 *.k ,,..rJL ^of 'tt'.rr;'o- L-.r rri.Trvul

(..tJ jt*n .' , = t / \"*y- lL:)x;,J(/1 d")t./,/)tI

t Ahoc.r t'lt r v ) t ,,y -7 6',f

c*{

c{\-\rl

tF ) *.;1.,7<.vl

L. U L€ Yl€' l"t 71i y i,t € tj T .R. U

4, _*Cen*aJht !_y_t, T d { EA .

J. g x r,,t. (.d) xe /'t =)

LLt,'ltx" 7 u t 4'tir'ttLT lr lAitL-

(7) xe H, ll) ul.'t"I .r.,-^

i;- ". -'-- -"It xc'l )c l.l.r .. !-._ ! __" _- , X'.: i y ,, 4,

/o(-* fo/-X

Y.,K- {o[:.

Xu\::(L')x't\eN

Page 33: Matematica Partea a II

i rylou/-o,r.

r^?_7FqC 7 c,Ri AtGrfl/111r

,t. tlp) Aoertl.:t & u- f,',-G\r-rr

\hu"t*X r.e c'{^-..

cla:u, u.rG \-r' c',gti^-i.e,{r..lt*o" =)rwrctt^u.t ./ r e'E tt-tf ̂ tr''

q-) dn".urr-Lu.^I^I\ t-.t;,,,<uJ ^,l-r.l*t)

t ,'a. t r "..--( r;t utt.- fz,-, ;.. 1,,t. 1

1 Co ro^i-r 1....-{"r t'^- f.:u( -=\ , j.ur.t 1z:Jl\<--ca

Ai-- ,^',

e(c.

,

t_ GArr pf-tA/, ^ ]

T'/.

5

q4a\-t

n 0 cr:-ttt-u,{cr. {.,l Lri. =) u it/ tj

1,(-1JL{r LLL,L L lc\ U Y

a gqAi (H , .*;,J1, (U

( \/-1,,

)

)

,-}

,-> ( .N..;t,:> € 4<-r C.

11 44 i

q xo tY*tl(i x+) "

.A?"-r ("'e u.,

')(tt

t i.\-r u*' .^ \ r- -r. to-.t i *t .u'ior.f k ctc,,*,..1.i'

: k oy)* (xo t)x. {)c,x) x it" *,1

I,.l,r .t x- , -(r.,

xritr i,u. {-. fr, , kt_ .uo I

1rr ltri eL (,^i *:i ). - --l-

(/ut , o -\ 1".^1. .'kl .,.^

ir-,\ ,. ) .,..n_*orr.rl .;r,,.1t1,..r.

/o1y x2)-\ v"))*(x" 1/

(Y/Z\.:v.r).r)x(?"x)

+-) <L L.*: Lt tt t,

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o u" n'L ,'[ro|r].o'C vo'

i'"-t', ,U x ,

I .-.

cl ct t,r ., u

a-o..o.,io& t.t,. =-l (M; *,") ,i,r.u,( .".r,r.fot'1"

Page 34: Matematica Partea a II

t.ta., ltr- t: | '3y) t h, i2u /wtcr?*Fl(5M E

l\ r; G{ti P ti /A*t

ifri".tlr. .F- (c ' ) ." ( ,f , " ) ..t",., ., r1.rc, 1rr.

r.'r-^.

"f , e' -- l( 't,nto :lrte.1 'l^r,* ..& ry1r--t74t..^.a cl4r r-,:r-

f-Cr u'l)-- t't *1 .. J ,L) (lr J x) y {:. (:;

A . -{ , G -, C l.iQ q.,4;Jsr.i,r,a1.-\}. i.""- , & .:1 r, r1 ,i.,-r r.Jcr (r..r( '

\"-\ (,.. tr; (' cn,Q .,1----*..- (5rr-1.,vr.,.-\ c.u,.1ua^.1i )

/) t'tr*i) = J't*to,Jr11

: 6" -: R aotr. iltr*g.njrn,*- .'1r1...-

{t r *y) -- i'.o; o ltXl{ lir-1-q 1/ r u ;i

{ : L, *' ,-, ..Li -ui.,- 1t.,,*vr /u1,.-* - k a.) L!(/.)(!r, .-/ctr,i.

^) + : G -', 6 ( ,-+0 .to...i c.e \/.).(r\-f r.,r,r..,.,,i,.tt;.,if

l') /ix.*'j) . i,.t "Jtl)c) + tr*,.yurt oo"

''i.egjly-q" A..co | : ;, -, g ,.-L {,lr.r.r v,) f.a|,. ,-,o,.lro

$"*,..p,"-.,,*I,; \ C;' "') .,.'( k-"; .iX-s,i6,

b+A)

._1\

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J 4-tfo/L rL u'

i/c,*n, fu '

slticct

1 )-6 uu- c',.-f i 1"",. . ,tl.l- .i

'n\ f tt.r) = q,

!,) {( *') . {-f,*r ) '

t{ - -t,'r..,. , c't|.., C;f2 \r. u. (lli.( k

x' i'a*'PJi'rui rL, r e G({:("))tu,*ntr,;,-" !. -0r- {tri e k

((,,r; ",

{l . -, ) ,>tr,-.tt+',f; 'tt Ci( f

rce .(t:.i .Li t-r-

(\LL\I1L!L\ { C -,k

Page 35: Matematica Partea a II

i^:1..p (/l x o)').1

)

Hc t:-{l%Ft € 'r i t VcNlcdf (csiui 6

Ag I!:€ L €.. I(t! i i) olortci too-Li'))

4. A f.r.^'k^ | r\ -, r?: 0,17,L n',uc9t v*. .k , it'' 4 ..

,L'lrt'c'iarcn r^) {(x*y1 , l,,,Ll(Jj

h) itr."yll . 'f ,*, r {r'1tc) i t t^) €rt (t, o tf - cL'q--t",'1

^; " /1,.' ".(ii".a-ii^-t-, (A; *r") ,r^ ,171 pe '-\ o^-' *u4

"" (r t ,5 n t-r'*, ulr,-L L\i ti I ".-r tx i' i ;; r:t -L,' l['s,J,r\ t,, nltft'',i c,, ,1'' )

2) i n . t1 e"tr i,,,,:/i-'r..r-qi.'i---,'-,-1( -y\lL.j1 6.'ri .rl /-1 -,- ,j ( <,e -k ,kr'". ,it.i.k c.t-'."^ tt't l,/

* ij f '"-ct'i-lr u-,,r .,.,.i i-r-sL(

1/ f,A-+,3d ! n,tt

f'.\ +eie

lij:U ,,!tus i ]L y,*

n^,t-ert, Y.Ctr"+ - & .r :t". ki ./.l'-;r- 1c . Lr vr'

J

-.{a.t (.-i

^){:A-,ft r'',k

/t=i\( *JA

7 *-'g'1r"^'* .,L ,trny'r"c,

-t;/J,*).cli I A' */,

cJr.r in" exri;fc;,t r,,l l/, l.\( 4'1"\;U.! 4

;, ..'k, t t.k ,,tn r.ti.)( Lt- ric, i-lri L. ,,t-, ta , 1 ,',i )(^)

ri.l {

)

Page 36: Matematica Partea a II

!;

'? r t nTi t re r,i i ".1 t;'l{

{uuci iA \€ 6RAAUL tlL \v;LcA-- --'*" '.i-

r. f rx). r"o1br.-c

.- ., f)J Xr+Xz=- ?0 x,x. - C

(:r-

'\J r" , xt,x2 rr ct,:lacl r'ci

,:l'ft.)= K'-Lty a y:

2L)X\'t/-) = b*-1 r)

a

1,. r(i^r ('4,r1 Ac iriAAuL ,-f t ilt-,2c4I

fc*i- ax\rbrlL*(r+ J q4 ": {,,1, y1 .,\t,c!ci c^.,rc,

.)2Itil= x ',t,t-'t;t.rr- ''r5

llzI(, t/l * ly . 5.r-- 1",

l.̂ r,t

L

X,*1z t=/t: '.bo-

Xr, (r_ *d1 .(l ry', Xrr:

'r\' (,,, xr .,)

(" ir---

br() .. 1-\ al

{t^)-- (IX + I,x *Cv-r.-irri, X, )Nr.,'/i',/g ;vilar'r,t r'

-r4'

L;.

-)t Ii,,

' 12l {l x-, /'5 ' Yq:r(_

2)Ir/, f ){t-t l' r{r'

,,r"j<)

It*) , X ",X'u\,x-t't,Y+i>,)

-- 't,-* )52

p.

.#cx) = cr.,t [X*rr) i4- Y,)' ( x - (o./

0 .,rt X{ ', tr, * /ru '*l^t'z'o'

Page 37: Matematica Partea a II

,M* &i G,*t X*t ; rlc.G , tr * ,4I H x \ ,-k ni.vu-.t+ ^]. tt- ( G ,t- \ Jn-c.r ,'\ / -1j---f t

,^,[;"- *A"tcb"lA (. tt;* ) ru*b,{*f "-u -L, 1e in1

I qr ;trl -tc{occ, \l//Y,JCf-i -) Xxy*'c-r-7

,9pxi*tt tt ttt'tui e-ce me ,.tT

fri- (.';, ) ,^^ M .* --lr"r*,.-1 Aa-L^-G* p n,'ci€G

fidaciRU p

tx a-# e-dt"^-*t .Sa erc&'. U,*-{L .^{

G Jo ".^ ],.r;r e. rr) t a,.' qtu = €- lt. l^1q,-

il^rr (: itl.-iJ i-1,t{r au, €l ,A_i' '

cr , ,. / C 't = (

9,n*u;uu *I'.,-f"t"e

C,a-{ .r{rc!t

,ru-r-tt.,^"oto vr "lr*.( -Li o.- ..i,, lLclo; grJ cr-.,..t

-

- b,ivr Ao re,r Ar - eu r **e-€rla-,.

(L{ )K)'1 eA) '{.y *ft:) r.7 4Qy

Ncrv €_t!q___A € / N Te c &i Tft rE_(* x^^**-"t, .kt i-*r,d,ji(--

^.t,1\ ^*i4L't1t.lioCgrr-rr-i,(,Jr.u L{r. cr{-.t 1t1ulun cigr..,. e,b.ut rrfo V' Idfu

,,4iV4*1 .'-, .il^" reo-*-

rlrl t'TA Tt L.t Ut.t u t rN'{L lA; *.,tl""^!.',i"!a ,^^e-lJ*, L-cL4-{ *-J ,**^'-l- 2".1.r..&

-e x^,uvLu\r.*- *dd&

Page 38: Matematica Partea a II

?r.*;t *-tt lr-"".t*-6. aln,,*.anloyp

( q, , ,tr+ |

\* otr,= y ^,-_.+l

' ,^ +4

tv

\/ot* -- ?- * ct l4.^

3" Je^o/*. ey'tc

q ! ^

".11 -*tr-.{'xl+(

(C.

Jnia,,.v cl( --..-ce(r C

e J.*, Jx=ot^x'+(

1, [ -; o{x -* lg *+() LE,'L x

8 \ , ca---u\r+cJ D".^

t ,(

(v".. x ; l--

cn" *

(ce-rx;i: -.*""x

f 'a,6, = -cm(

J'c**J(.-*.x

?, j,9^r+- -{ fc*rltclo

Irf,1*rl, - 4^ l,>,^,xl + Irll

tA I _,* ,lr. .* a"iy;+c

'" S*J^. j^d"l#,1.,

1r Ldl=ttlr*ffi,fncl--ttJ \ x--tct..lttq \ ,#'n'lx'vT'-xloc- U x _rO. .

45, ( I J*.nnr*,'^,n) ,;]-4 ,t * (

0

Page 39: Matematica Partea a II

{ *o1."^rt! t'lt^ci' t '-u"Ltn..-td

F f-n'*^-,J^"a f""^fi], ( <'-t Fl= { c--->

(=) J fl.rJo = F(-r+ c, / J {,*,J*)'- /.-,

{ .o,J*^^,uo pt l'..,;t"J *) 1 i,rle:i..o};-l* ,"* Ia- c I/ ,r.,,,-tteio",,.o-

l^{- l^ ul =, { uut*7.,d*-!o- pt L",,bJ,

Cr .?U-L\ -t/e*l*

t.'{.-, dr -51b) - F{a)

Jr ?-

t I^-o

* J"

uo@

f.^te-/

@

u

5j if.", + J(rt ) ol^ =

1.,^" ,, *1 Jr *

f_^ 1,,, Jr

f ."".{,nt Jr= " f f*o)* netR,''"' :d..,J*="!^" .{,* y Jx -- - J: { u1 ,1, J^

A.o..i $.1 z, o /,! \s;bl:, 5^u 4r,,

{,'r < 3tg t^L ta;uJ *, l^" l,*t J*

Jcr"- c e( o.rb) ", \ri {*,rr^ = l^t {,*, dn

O

g(xrJr

b

t't ^y

dr

O/ [ocr. I tr----lt #'s.- [ { rq' i^, i '='

J-: t*, Jr = {[: d,^t,,tx ." t^ fi'.,J,.

Ao c^ f- 4* r L y'". po,r. ( { r-ot . - {, ,11 =t

J; d.e"lo -o :' ! " lr.,Jr. -f?",/

- /41 ,,

1 fvlrJ1i

Page 40: Matematica Partea a II

A'({'

I (t-b ('\

( s, N )'

i

,)'= 4^. I qt')) = I.f)'=I

iix) = 9

t,*c)

I-?..i,f'

I

1yc*r) f'r*)

(fil,4.i/ -L\\ l)

/ ^11i9I

'--f'".) * {.rj'st^ + l

= r ll-t''j

) r^";=

7*

,Y "\eu,.r;leL d,,"*c'k. g.tr,"r"J o.c.

{ )( i.)

i. C = cr ,r. rl2. l{ t=

Ib (ri x ):

4,r-r,W .(

i

l"u ^

g (,-n '.-r ) l- c*'. n'

,tlc,(cg.-r,t) - -r)r-\Xt t (f ,J*)-l -:- -- t+ t72x

" t+ iLx., l.--,1 I I1 ( t,x ).;: tz (cl'i^)=- .i;

i

'l!1--l -

'-tt^'X

5, (^* t '= *^, l,^ o A ') (c"r-e ** * )*l :-u i--- k'n (-.v, rl -x I tC'. lC'/se ' i,-r 1C,.rCc!()X)=_ _

tt' i | '".,-.^ZY l{0,. x )'= -T I

/t: r i t'i' (.v't1orx )'--.r /Y^^)=*r*.. 16.(utc.i,;*) |

*';'.t ' I I

t - /''(;)^= o, x?*4

€ I J- 4.(c-ta,Ln lcr.cr^jr __t_ _ _e!_r_,:' xs*r'

Ropori.'-J i,", * ir*.) t

- t*./*t-/..r" p.'a ' /c'' '

x_ *c

1,,,t-> Xa

Y,*r - f c*l _t

x- x.-= | (x.)

Page 41: Matematica Partea a II

6fn".^.1-,no- ca { o* oto.",u^.'.-f* ,lt

;rw*r1",( lo 6(6'.c* €rtt-"ta --L'""jtt (J.-:f.. J)(L\

."'r{,^-;l.t \,f I- | J 4 t. I, | , L.-.* fc*l - {rr") ._ I t r.) I

l*-"x. x-/,, _l

A.u... c,.hvivcu'la f ' , ,,\ e LL )tci rr , r r& /i ;..1..,\iL!L\;h^ tc: I e 'k .,(r.^ v"tl.r.tc.' ...,. xo

trn.^.4',. c F.*,.1* cr, t"o., i,^r = /f::l :,'r:'t

,Lri " :4- xo r><-uu c.l i-",^ < lur-"Jc,-.l- rJ "-*

-{Jo.& p ru,f cI s..,' ,-'<-.,"j)

Je.... .,{a.r-"".fzlu.

"L;,k".L i. {:,-.{ p.J^.Lizr.r.r\ e-"tt- {.oJr; ( i ,,' trol 1 f : (/,J

,, u",r, fii..tar

/

d- enU. 1.tu--J ,J.c ol.,.-i*o-.q.t* .la., na-

-Y+tQ c€,." ktc...<r r'1 (e 5..,

f o(*l --\, ..,., /a(x,\= 1' st,.., n.".V q.., I

4. -tL,Lit&U.r.r 'l.,-^o n.,rf<n

Y '- {rto) - Ctol (x* r"){

+qr

,i |tt

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Page 42: Matematica Partea a II

.t .l,u A.ir,1r". ,'...(* .,kii vr,. /,t.r

t.r-' L.<'-L

4....- 7 "{Lr.u..lr..(c,' !g\ lo \r'xo tr(u

,LL.,. 1>t-l.^t-.i

-ri!\C LLLLiJL

t. ic.(.1 e rvct he t (

-/' -{r., t-ot,",...t

ru"a{Cv-r,r--,Li

q {.; R.-t ti",\ '{.c-

u.u c-ltud c.

.'{r

.'{o <-Ciir* -L..-r -=) F ir"-",

-.. ,

€x-7'1gq. -G r"-( ,,)-{ c.-J.t.r, /\.,rr.r..,lu[o(r-

", u.rit, '-1.L.

] .

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y (,,'1, 1 -.^ {(^) .llr,.l -.)

Ic.;b 1

lc e ( c,; r:) cl, . L+_ ,c.r _-:,1

7 -{.*, G.rrr.^1t /.^ J )'^, t,) *tttl. L*L f ,."...'

l-,e L c' I t'' ) "..G r," ,--f,-\.c.- 1,r ( a, a') =)

-) J.-e (c^;t). \ {(,l-, /it'l -itS)u) ' (z\

! +l+..+ - Iuo l. X '1c,, tJ -t tk cczu-[..ruu., /*) r^, L.)) r'{.i ,, " r. f.,r (( /( (t.,1,1 ,, ,i' cx1 1 r. -:--)

() [r,) ,.)tc) 3'r " )J - t*-A*"[* * -- 4.'. , .. / .,1.n., ,; c, i,.c.( c, ;* -,-f-n .i ..-L (

=) ./ i.r.u

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":) ci(a\1J [t',),,, lce'[ Cr.,,c,) st,.' {tr,i*{to1 _ f cc)

l

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io, ,^

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tlr)9u) t a.?

t--!nt*,1i r*)

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= d"'t

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*fu,ruir 4-L-'/ / lu f*!:!: -+__T__*_-

ct.c, / - .7 .,tir,u'."Luk 'u' '1(X)

c.. r" € /il

Page 43: Matematica Partea a II

L+t'6 41tr

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1x-r-:. r1 ,c--r[ +-':1,..{"tsJ* G

- .-( + =.h*-* :}:! l}- --l {. ,".. t t 'io, [" ... k vr. >.-i-,e t

oQ crte t- s L- i" q*i;.-lritci-

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J t.J { 1t"S - c, .-1:) -.1 (<La)trL

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I l\a, .tr.. ..v- /r\ i,."1 i'r.r", r.. t,.( J ,-r{1.it rtlrr i /,r .': x: r'...r /,,, /r , I .,,

(

(11 ) ^,'

(,lr.r,,y ,l't4,) ri,, !tt,) i /,r,,1 " ttt

Jc<^(x, /,1 .c^,r ltrS )./

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cc,-1r..-..Ji fL.,,^ ' l,{r-i- I--L 1i ,-.( C\ 6

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Page 44: Matematica Partea a II

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Page 45: Matematica Partea a II

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