Math

257 views

Published on

Published in: Art & Photos
  • Be the first to comment

  • Be the first to like this

Math

  1. 1. n nt + irr N?aSa ?'55 + u V (+ r,Q. L5r?> t by nf,n WwuJ. tutoroui' tom wwh,l . tutoroui- ft's'covn .D r^*rpro dr. r*t *r*u&?o/u
  2. 2. - r*^,r..afl *rr,), ifot t e f-?+d-t* l-)+i rrir lzt( ' j ?3 .-? r-F ,-9 t I + t tl +f " { I frO llt-lr i+-t +l +i ta € Ige IrrA' .G i+ I t +,rlc[ t ff .L=i l= +^i 1- tl J-;-l-'t -te t *'| -ll -- t0 .J.r t It t+*u; []'( . It t' Izitt 2,L[E tf t G [ZtI E L ? www.tutoroui .corn
  3. 3. ! r u$ r, ril- la r6u drsrrtu rtrrnJ Jn t t t)er v) ? v rn u lI 106 lti; ll0l .'. rQ r ?lff, u( u t l0l -- vr , tr I -i rdr I -', J!!:l prcir -+ tr lI r l/1 rful .', Itlt-l A.lrir + un I UOv n t5lt lt o o 169 , uoo ?9 ) q.Lo j r't,o q}+J= Sxll: t5 yrr{N .tutoroui7orn V
  4. 4. 2 atoriu ul tlA ulfi t x1 txfl t Tf a ryrt1Q, ) tlf = o 0=,9fl orour.conl (Lottttiu C*-9xtt) !' - nrr$Yr t *-gxt t) ? 1; a -'. )a-9xtt ? *rK t? ' tX -Ll(X-t) a O X,tl I ^- ( s ?, -g 7 rlr roe giyre -l -i o wtitw.tqt
  5. 5. I7 Q; m ril* ir,(r,.r fe u?,1 d -)ut v^a fr' t li rtrq, ai u rr.d - lir huui ld'l'a lf t e J 0l,rr W trritV ...t wrd -V; -'. do+ , O Lrnnfrtl[f ' cwrfi- Vt q o hrl latL- tlitt = o td (t)t - (5 )a' t, .rrrl - t 5 ' o q,"rf !e ?,, "rl e ?,, ''s ? r/y1 =: iL, fl wwta|. tutE"o*I. colTl'
  6. 6. rz h 9r b R, -rRr l-jt?) b-gh ,il"riv Rs.rlonf rnn*"tl d a,b,e ton R 0l L'r 1 t 1 ^r Ll 'l-il rlu't e*b+C ]-R.+n, s-1tt) I 91: -t r I b -)({)a b tj-- ? v,+ -9 + tu $os ,A ., -'t ga 2 o R,: Rr: t ttt't R,r ,Rl ... b+ore,N ? -'. hrb+C B -l { q *le 5g, rArWu{.tutoroui ,corn
  7. 7. 7 lo?. (gt'trtb) ?1 tot vtww.tutoroui ,@wL
  8. 8. 7 Trriivirol ura rr,.l,rrd, J in,lvB frr,r, o e,ior ,*tt rq1 o.1 *, an rU*tr.ortn,itn )rrifvb r,,i, il' r= N,i q'r Noxt {Neig +Nq f Nt { Nzl Nql Mv O- ??,Ct+)+ tt(tt)+ ?I0Q)*90(15 ) l,L*?t { l,r+* 9O '-'b| k +168+lrotq5o 100 !5qL s tr.ta loo.=-tr ,il^rN- tuffi-r oui .corrt
  9. 9. I t A0Y 5 Y = ? lr nv o r-r)I ( i) b 2 lz b 2 f=0 0-I ?, 5r+oi lf vni*rr, nl u : r?l' (-l)r 0' rs' .(-E) + ,,. ( l) ?'-t (-eJr r (l)? )at-lo'(3r fto-? oo+ (-5 ) 3 I ( f) ?'-' I t tl D)l+ "( I A-, [r t (-5 )1' 6 ?L ? 6t f-12 wu.lw.tutorou[.cotn 6-6
  10. 10. - 0 trn, (t+x_)11+6L) -t -- ? l(-r 0 K x+6x{ ox?- | j l+ tr x 3 l+6+ 6x I xg o wnrili{-t lt.i .coyrn
  11. 11. ! 6 4, f,: Ituu ylr Orttttlr... OIO' ({f x' + (-ti f + c-t)t xt + (-n}xn xot -x3 + x[+-xi ],,.-J :*9 t -X} * -x1 I ,{, ? ni x7 t It,tr ,l C-l) xln ?1 |.'. 6tJ-G f-I o xd--tl O I -(-xt) 3l I tx} IrL 3 --t + J. I3 * ,h-tf 't
  12. 12. I Q; xr , xn r x, ,dr lra ro) Nn t x} +6 f - s x-1 = o a"d )<1 ct<t, ttot X1trl = tl Yxl t6 f- sx-i ? o l,,ut X*-l -8 tO +5 -i *O ,/ +t )>O 3 + alt -f tJG? -l +* -t s 6 -5 -t 1-k -L -9 Lx"'cLx-9'- L+x ih 9 Xzx xa9.-lC?, Z -', -l (-I L?, o€- wh,wl*J;ui . iolr, 3 -- I xl +xs
  13. 13. ! Mru hns 0rcr r0u dr<l * VTL WtUE G tfly VrA n4 ;u vl J r)q r*;u ro ffi !q-tA= ? ? OiUt4 Wle,[+e -t [/ln-Yt]t [t0' Ltll*]x') x I (} I -', wtvr " Wx(8 ? 9$0 # Wo- r. tLvt ? {<1 xjx'y- ? lrl 3 0116 c f v ?,*9x1r9 10 tg 1 ? tgO e nlhlw. tuto"oni .Corru
  14. 14. TrAlN a llll ( tl,s'n )l-lrAo i'lo' t i -,J#1, I ln; F ,,,ln oJ* Tdn*'r uo) t, f*r iu r$xi.Au A, Nor no,, ftdo/Tuao 'f,,i Ja) t'l'l' trn ftn+bttQttbo l's "'0t5 ),jl':1 6i(e,1,)*'Qr ';4s-{,-, rl*n^iut -k' rla^cr-[r'l + tl-z' t }cxt 1Y- 6' ! elt :: l:il;:;:' ffi ./ex-it *b--o Oqro* oftJ ^ s' * Qt t or) fltoof,tur r f,r [,r,sr+tt?tt t '1,0 a- s ?1' P" ? F, (-5r?) hfNN.tulorari .Corru
  15. 15. 7 1,i [ *0,0 ,ilr (?0rmaJ1"1 'lu x *,]h #trfrJ,,,*f {n f rt*1J r uqr.i u nr 0}x, loa)rl at I o"rd?r}to n) Y) O) llr t,g Il) luttit*llgg s tril lit rfwD [it,l1 rJc--al,- It J lo onx'/o , lritr ttr lrixit s hlll?l Ixtfltil r fi*V lri.i l1+ lfi'? ts' (,s A ri )' (s[ I' [ilri t = ) ? trtxtt t - *o frr,f ? ilxi t sirt a eot?a oJta: rrfrrTr'(t@l tglt-.. il'= 6* ( ritv ---rr Y) o) L = lilt +1-- -'e lut"lvr"[rixv t € ;; 'v tt' lri r lu lz ['l 1 * Qr'i)'cii) 1i' ri 1{lltt t 1- -1L' to +? 9 ?0*& ? nr0 ) 15,, t 56*v ? )H;I oui . cor u (r% L I I r'L r1 '[11 rr'1,] l wwht.tutor 0r - u' sI n rt 9lof
  16. 16. [, t;I u{r trr?rr1,y ^l ?r, ti C eor rt' t i siu! rs') trer ?1-4t 3t,?, t?t ril. Fta ,X 9 te u.r)r[t W.lLo-?a r0. nn it ro) o'r ,(? ,irri, r$ drst t?,oo )*rAvt tl It IUA U{, t ?t o{7 cil ?L={?cil ?1 -ficil 3,1,) o rS c tjt z$s' rt d,r ir .fzcil ?,zZl l7S' *l?cil rs Lcll tt)tiz#r Qai> cecr f I Qcig ,o' 4(ooto'+ igi ntit e.( 9* i) z *,,1? *lr' * tvur/t^l.tlltoro|,ti .co;
  17. 17. Q; a nl 1, llAl A DC r,l. A d.Do C E)t + ( giur( 00, ?e + ool tn^nlA' q nh ?r{ Nu anr t'LZ rstoezo*rB +' eI A + '1. ( qog?A Qol D + Qo:tA aot $ + a r0*.vlrQra tflr Ag I 2A { e, nb)zr g A g ?-l A t tos ?lq L- t zl .?j I 2 oorCzA-D) ?+ tvv*+Y 2 ,{I Bot -: z A-.0 r 6d4 trqrd AtD zoro' e .', @+@ )Ao [50' lM?4 trvD) flt4? A qrvr f) = *'*'? A' *ot*' ( t oo' - h *hrhJ* .t-t#r;1 ,,orr
  18. 18. - +4 ?rla- b tcl 0la g ?r* t t*. Q '. I ?rl. 1, t t+e I ?,. 7,1 - 8 ola- 3 ,T,Lt(it rtZ ,?, L. lot, Itt +tt r . trt, -- et". ol xtt r_ trer 0r r( 4.trr Aat r+ g. ,1rT lrlt t +tL. + 3 f Q'l r. lt, ti L* .ol . z*. oa tl* . ?,1* z1*, g ?)' -at zt^ !- 1, '1.* , X, loq L) www.tut#di.E # orrv
  19. 19. ! lotl t l. t a. loXrx + to 6rrr.lA lol "x 1; A' lug-.x t I WWhl.tutoroui .colr9 6tg-t a) 5'0 t. tz +. tQ A+.0 a,t? o A Att6-5A B o A"-5A +6-- a Ca -t) ( A- 1)' O A=9r L lr?"*B ) )2- f,; o), 'L l= 8'r q ,--^ t tun UDU?o M notl g. t6 ', l?rfr
  20. 20. nr-LtLt5trl,tt,,?l I a,bea or$ fi; l-,tr-tll-?,-5 $ E I albl + tat b e )ur {t,.trr A*rln e*b+abs'lr,ivra'lc ab*eb?o)fis i, a lbl + be) lel b ;) =) =) e) a zabao 6,b + a-b = or- -b + a.b B a- b+ -h-b a 4. -b+ -A. b s -r?9 , I -Alo- ab, -zdb O+ 31 -') bo aO be) ao bo dg^uu Js oil zab r ^/ t+ r {w car,r&x *rt 3 U.L Tt fir o 6xls 6 ti'til B br 5 *o *2, r*rt?i xsui-ri ,*,4 * -fA I5 -', b+tgt ?, I ?t+[ z(+t zYt Alt^l-ft . tutorou i . co[L
  21. 21. I7 @) ,1 ( 1 r, ?,), ) cxrl) Cxr{) it tra,fa 14 rr r t I I x,I &rl o1ra a l, a 6$ I J" ur, , *iu,JJl n vttdf : * mtg ) : X=l i.ll*oi l("? : Xo) : X'Q : rt e+Y L t a ? IOO € t"tyta t, € Y"'rv Y'ltZrl,4 -', + l(uu tS €y'ezt Y't ,tr), Q -1 * tluY t, q Yt c- 16 Y' tl' t',rn, zt i +t1 c t t +Y I cr7 -) Y"' Gl I; ltt -'r A nuv ..'. tnt9,)r,!{q{ j+,t B lj Www.t&toroui .iowL;, ?"t?ar- (00 ' t r0', fr oJl* o; O?1) Urtrl lV Yl r' rv 0 lln;u rr)1 I ir ,iytc t, xt0'a',,A Y
  22. 22. v1($1, J9*J9"{l ? tooo xY? vrcE) Vt CE)' lt* zt+t?+ '..+ 7 tt*',n -' 7 3-(to)tttt'l: ry +'?t=6Q +.f "t7 0* I t 9g 5r9 'B 0, tx I z ,,rt. ffrtr run/^rf orrrrlcrn i xaY ttA; ? t.t 'Bl 9. CUrOntr+r) b ! xrvf ?t( I Ilrl r t rlrri d, $ s 1 tr tr 1r.- t,o g; )L: i] I {. rion n,,n"J'f L; orr., ,lro, tJ" Jtlel r Jd',,*1o ea'nl ? qI -r; Y : x4Y Xrl UA xt2 x'9 {r+ XeIt a X.t ) xa? iaY TLY 9LY 14 ? cL2 JL? ?.wrllh,.tnforoui . c ottt"
  23. 23. 7 f6'rf Q.,*0, dar?t0.tguo /l il*ni +, to). re) o;rr$rp W Jn.i*r" go or. dr' 1r- to 11 l'9 O ?l:"? Qt-B 0 3l-?c {F loo ri lnlalrYlt rir{aI -l^ t nlnao,q t?o r^ro a 3 gO. g +t t ativ'. t c.t i'o ) lrAl' ?"o -ta ,f0.1 4 (0+ ?,* v t4 ,0+ z I 8 C x T 2 x $ r) q) (r 0l x ,1 x ]l I 4':*trilr'{') fA*f + ?ro Prn orrnu*'? " St"a? '?2 + r0rY + t{ l8 +?5 = ,6+ ,9?- Alt *x*tf'-fO xtt{ = lf *@ 6 4 )r rt t,S lo v t -9t- tO ?l- oo 0l- I tl ? l-to tI-tlo t(= 8
  24. 24. - @ a:ttquAouuotn,iu,r n{*f, JnrrtDn rrlldn$ nr riu n.1,,s I0t ,,{n,r-*rir4ro.Ja},t{k *,.,na jo B0 Oltlqr+ rra:J ta,?r,, .. lO f. t0)tnrTrrr * r*v0 X.o=nt+r fr.,ni, AA olrtru tr-rl ilrrr,j QnrJ,',r t;i t*o= t,h{y urrnir b9 o:trr&. flor?xdZ tt.l.?8 4A:o'Q I ?'o'71 -a(eQ,lzts) *?r. A=,0.? + Qel.ZB I to to t t-rirr rvLiu .irraontta i?)A-. -'. ! t tglo -- !p, 60 z? Lr ? l'Lg 107. 9D w z|tg 9? 90=E^ =lF. ezl l'29 bo b' I e6 r'? Q t 6l1o i- --r- t 15.6 e s , o.1?. -"q,jl!3ls 12,5r?; sGi lg.c ar -'. >G 5 a;t&, ? 90- l? .5 5'/, www t,{torou i !tof;'L #
  25. 25. I o,. Icr) ) xSt ttxr x> ?9. lcr I X+ 1t .<- (,t )3+?( r ) 0 (,r) $ttt = x7l It*t, *ltax ?[*t,ex?t ?. I [,1 = x?+ ?'?? t i,r z- lttt= t& ( Ectl '?- # Arurf nt.tut roui . corrL tt*r tilt fl'(|r1'lo'd"i rr I '* t{% fitblg t)te q'trl n{o,lol x = I l,*, , l- lc* I '* ls,- f+2") tta drq )t r' 's t + +l[(r)),Xlu srk ' q(t? R 9!
  26. 26. o.tR , lale t 9n' lh+r)'+ c*tt)t+ 1} liw, D C5, -nl'- ? tr€ I ?-y +t) : Z hst i t ln' + ratt ()t | .., t (a't t)l vr Sr^' i t a" hgl .1 tZ t" t ?,, o"1I -l It- n'qA rrU oe, Urat a"' +L auo ?tdta?tabt"'1 { L r e. e- at t-aL +.[ft] at f Azt ^)+,', J -, xA 1 t 2h+?6 _ z trht 3ff*, fi ? gl + LaLt+a) f ,,tl +Lcl l-G|.L * ( t" +.24u+ t ) q E,t"liwr hi& d 2Yle t t 9r.-r'l) a
  27. 27. - €, o, ,4rr... ,Q 1 ,,1* S',iu tiu rft,, J.lg.rlru r*;u l5 walzre 4r r tllr... rat ' ? fir,-'r4q J he'15J* a,*'+d" (5 -(t At {.,.* a,ot' S. ,,, |f ,o,t 84J -_ q[ w!!1-JG) € q EtSJ € l1-: * wWW. tutoro[i . corrL
  28. 28. ! tit 5 ut +' {cl ,5e 1rru3o r(u ,r)'1 o t-l-^r n-ri ogv to? 16,r t a q t.r6 qrooq q lis li 3 6u t l6ut loho n,[ .. t il l n?AOt( I : 4 zt( Iie 6ot 4f.. *. I 0 [:' r6u Q I : Q ? q [r, tdu tt Qe, bt6t Iit tfr t + ,Q,5b It t rrGt LV tr, tocr o l; t rdr t t { -'. Q"ag tfiu! ) a I o Q0 i, r rf,ut I n1 t, lit rdu t $ q G U,q l;s rfu g rl +F e I I r{ o ct is I q?;: t(u t{r . ttt t55 Q +0t , <, r{u+ t + ? tr SEg:S . www.t,^to.bir i.corn- nou toi,r @ e
  29. 29. 7 q; I J orrrrl.,&.!oof ,il," 4xt I Irr= irr{ r ol $ dr,. Ct,o ) d Fcr I ,il* ,Jjrrf Nl[ r0) ? tr I ,.,1 o{t gr'l 0'J*i"J ror F od'ilr,'drt trn = Qx+l s ext I J +x+ r alx z,l+ tC {,*,' a>3+x-j FcI )g j cxe+x-i dx r,*,[ lJ fror,lvt?x? J rh'?l: F [x]: { r*t ? t*+x-9 F t*t , J +,*rd r VIA rrrl $ { l*, {,*, = l.'r, , ? eftx I +c 2i l+C s C* -9 t rl $ul'o F*r Jolr H4x t I r^x i, t'lfiX ,'1u q 7 Lzx+3)cxf t ) t .t i *l wtrr(U,) r Y vr" )( z#*f tutorali .cary
  30. 30. 7 'i dtlt' o 14ii tf, )' J rr..ol r0) Nvr),,1s;?rutrrt?r| A e. t ^iCJ )reIL Itl Q* l b,' t1 -n lar $ )!. S -l 51 1't l L tco let a 9 L e b, t -J $ oll ? C ti ( L L Nr :l 7. tt cu Crz Cqt t=> t L hii(e)J,
  31. 31. I @ {,., 3 kx x-3 x 0 x+9 rl fio O? s1?A O a x 0 0 ,^i hn tnr ,14 J-i',f.or l rf l, *, vn Jn,),^/ tto, C, Je, ory,e,;irdu ltr: J' )al a ,il* g I^', g nl ,ixr* srlrJa Jrrra Ir , 0?r(? g d:? g l.e 7, ,, 9.6 Q.q rrr ttrl et^ dr+ "{){ t lm lttr?Yr:ll?v)ovis J $.rr, X t rt) (xtl) : lxt-t x f Lrr. gxlq =9c^-fi? cx+61 I rraxd fic-'fi -? f{r lt- tlt ' ,, a ,l {s) ) s -??+?? r o t, o rtrarj ? fit# t rk = (o $nr h= -) t-7 ,' -f? c-J"?)?-l ,i- -* -g{1tcr f,1 , bfg vras {tf,fl' cifgf-,r cfgT *)li-n[y 't ?6,f} {,2)rg-t! a-to l,tr, tl-u: mlrv;* *f,) ? -6J-93{rn, €gftar^-, $,rr, o lr,t=l-Q:-B ,lcqt, 6+-1( s tB x l(t), -t t?oB {,-t}, -t wr I l,n, g n $t-,t)g {t+}-tr.- w X htrrrr$SutoroUi , Carrv

×