Encrypted Data Analysis: A Complex Text, Exams of Calculus for Engineers

Download Encrypted Data Analysis: A Complex Text and more Exams Calculus for Engineers in PDF only on Docsity! fl ;] ,c'Llalv, +) @ 1.8*orr\* n=[i I] ,e= lg -a I 0'[ z;] @ k+0 €) (atolc golb -tO er unCrn"nf ) @*,'=|;il.n;] : [;II ,Til=[: il @@ro.)c = [.} t[''3;] cn",() s lgr l+u*] gTs +t+74+l lgt\ +o?') ?*z+e,.+ \ I r*r, + ar.i l41z + aval I = l*n tl*,] = fl: i?l I r*+ tz se+ r] I L Lb atl J rr. @ A Nr.ns. ?t._9, dr= [; L;] N,aqsr? *slqft( \r\.J e \5 frlAqa lh> i6= Fj]j1 ,";1,*, {leirrrfi}n{6tfr*a V*V rtrl C rl'v'o.ar ZX 2gsi k{ - € tfl ,} nfirar n.,r{a( (^u,i',, LI)^ - \bbih^ f Pro Su.eo' r"\tfu ) _'o, =_tL[;; .\ l6rrrGl) (-z)*r+ (-e)*51= [;;;"' L4) x?- L4\+? I = It :l -itJ ft*h,* n,c'tl;]li1.hz [? p = Eil i.^. trfruild) LA -?3,C) @A+O @co-9'D Ao @ DA @r Pf 's{ @ona?.rr?rDclR{grnor"dni g vorA ,tu u*;' z v-0 1 V vsu DT nb €Va: D @ o o o 2' w>AT nil vtrrC \r^r lAl= lz ,*^ ft= tL \', l'2 nl lo F r,*,\rxrxir @ lgl 3 l+?o2-5 -? 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L t \ {b@th3 f.O b, llrna3pttrrtg;r urJ F.llfu\r r&nii-r f re*n dt-Oi B dqs;-A,t&n zrr-{rt+t"b-lot = 58 -?tl *kr-9t +?X+ = - lT Dh -rrxr+Of,, -6^+ t 4t1 a!3r. A[ = ?\-L , ]e=r, ])t3, \:l @ h+st-h+11+rs = Z grr +4h -8t+b'*+fnys = g -F1 -2Xa+L-t+?t = + &:" [F-8Y+a+1jX6Y;Xf Six.1= -rixr=l ?'rr-?\*?Xr= 3 1*, - la +rrxl = ??t -5I.-X) =] &$r xt. {r+Tj}r:-tr*t i xI= r O. \r U ,S*1.6',ngl*a{o' II€ !f = lCoro,e) rae n.I er\r)oFo-t{r U \.tr.uR-$ :):!\o, LIft} tt+rq.p.M ( B+,') \;.'$.\tl (R1t"( "flo*r t'$ ot], t'.. * ) 8!-t N*'.n\{ rapro),cbre,o ) erlf h"t' arbrtR \F: (/torQ') rb.,c))o) €-U rnlA t 16'*+"0..0$ $6. 1 *nr^. O [ar$ro)xbloro) = catbl oro ) r*/onrn aqla ltrrB\.,rt*olr Lo'+b elR) o$,\l!.l"sh (A+Y>)o)O) e U K(arore,\ = Ckaro,o) 1dort1 I<r\ ,fr-t.x1"oxrril t}.^€f{) ^),h*\Sir (Karo,o) e U OllF'O lSxrt}l6ilr U do Llt?)dosvo, IR1 .4 6"1 a Iq. Q,X U 1t*ronJs$\rD II* #, \) = ICorr^1b) '. arb 6fRI "ur,ns.rso.{i U fu r\TtNtlxrv?r rl\ \ rru.rt1o}o tR)+ l. ) v..ilo1J (iqo,Iu?ountfi\sJ.rai,{ ) tr \* La,^o,bl ) tc,c"rJl g U A,brcrd € IR firns.n O Laglbr+cc, ct)>= (a+craL+{ b+J) lCrr*lrrJ t\Llu{org^,1* U dlo C6,*,U) fnns Ss) rto) 6arnn -J r,rl a\cL l Jqlr+,$r.l>rlo> b+c) \t{orrtn 'ir catc)z +arhct onK \^ La+c r^hcL)-P+J ) .=fuls$l*ttnU s\do t-r t r a Ca+c,a1,oL'b+J) +v,iilrlt;n5utg; "$t^uLrln a\.t=t U lrJ,tu .ttrrlJoq,.,vo, 1{ \t. \rx r.J S".""J.^- IFI *' ^ U = l,*ra)1;fFS " *=Ye\ Q) nrrtruu$ U rt b,ItlD Jxrvo>ullahuuga\a @ C IB, *,1 j-r*fu c*1i*65vnf*o}'r a\s j 9g): ,,; cx,y) ,cSrLr e U \vr: V'TR Cu,,' lertud"x'r*l ftnr o {\{l Cxr))+c:rLr = tfly) +tt\tl w'0.;TiIL'*i cyL+13,Y'.1> +U ti:''r-\-) r \ -7 BogJnF.uci.rlei-,*U l Jrfu"JFalJou{o) IR' : G,{u;ilf,;'- r'- }, C+,e-)t)Qh+) eU @) a:r.ix\o C r+,2 )G U,Sl"^.n Q= Lz \ro,t'\ C\1,+i f|o,Jo-n *,nr.r", t*,L)+t\b,*)= = tdo>.., 90 t-* u)o&*\tra'^^d1x *tti u1-*l tfl* [++tU )I,++ ) czo, b) { u fr\do4o.su*S* U =hl1^,tl*t^*trt..( U Jtsnld*io, lIc"\, lz.qf U ,4,^$.^d6.r{o) IRt d' U 3 \crr))elrf :$*"* x>o\ e)ro.r.so. l. U rq.*ultt> d*v,> uli$ \\uuri6l', C IB-t*, . ) \do1J CR>r,I .I$oo1r\.otjt ro=ar ) 9$ bnr$iJho.lrrcr.i*E d,'hf, td"* laetR 1g,dr*rr-rftrb-l hnnta'crda n I< =O t6:'UVl kcxul = QCI'>1 ka) =r{ =Loro) +u'\u\o^,^An X q t-uQ crdorirrr'^d.,* !) 6"rfalr rrrnnr{rOS"QU\gE6 dlr,![, u-1 J,$"JlfJovuD) rT* b,gf urr?oo1J.ror A 1-''\ IbL3j]ftf] 'Lrl f f,, *tb" Fel nu rrzr-,.r'l { Yr *gx) =e f,Z - ZX) =o O=O lln'-O rh.c.rn, O 1@,* X1*XX =O ,,5>kJr Xl= -TL rtro"\6 Xs = k as'&i, )A t = -k WN: n^ .rI L-LF' = o *lr- x; =Lx, \f,ir oi3 r.ov I<= 9*t *if' E=ts3 lil? Ctr ,x2rY1) 6\.\,in[-l trn g"* PelK t'',*-.>. qlo,tt *rt.rail'(rtl : C-l< )k rr) \=\ffir,var<l #rtttf'.irr\'r'qlt nt Lr\n'u frr**t @4n^ {^,H;l ,}s'; ft=grtr t'6€r pr oCl**$^i L \\Fr*A"* 2- ,:-fLf 'r* rr r"ll 12) l\ rn { o A ial'r'* }n t$''t I )o nof rtrir^,1e*n.{ ! lb.r \tnr* ?- vor A ,r:rX" @ \r rnrlrt}l>nr^o,d+ *rf*_ LIil=Bl=:f1l{' fll**l:f*:l*d3, Itlrlro) )Ctr1,-z)\ o e\^ A"- lbl T d, ; dmtn.Ai*l,Xltl rt't al trv- aY -\\\A: \\fo\^ a) "q"S { lrn ,lc(*) = | =l @ N'^llrdp (4 ) dr.a'n*rn1x L vn) O *^t^s vanle(A) + lv,,tl tity (4 ) .xL*to = &.o*+,rrAnvs,J A Z+naltf\tA) ; v ^.al\i{5 tA) 3?-Zab$f @ @ ,v\^aefle tJ ^1, tUFl ---f r11 udo (-l ) I ,J ) fr,+vo> rjlrlr\na; ? t'Xuv-vu A u-' v.5 /lrsd r..fnJ rrn Er1 ttn6pllrh< AXocntl*i" tr)v#q t r*!fl0-t,,n Jrfu td.{ (-'z ,7,t ) l !;+fi I ,z) rtrlosrh&r 1r.r,3r f, t n,fd;,d6ri.,a 4 (-Zrzrt) = Z(-,),,J) ('4r4ra) ? ?. (-?tz,' t\: + Ft lr)LI B,,hcr [l*sbb^ fft^*o{r,( A; Itl L \ I 2 5lIcDut 0 }'o*uo>.)?1D trrrou ao A 6l ;1r..ro ul) u1 D rrrt n uor 4 (D sJnrnr*Jl't nnt'.J ( Or2 rat 6 ) r0*r)or^cf?tr.- nFrr}\\n'lrlor & ,rltflJ \tr\'\r,trq1a O U,,-l \tncSrFou\1e5Ji$ no6o5'(i o{,-ru\o>A br"* rturJ3 $ \\r.t. *r', A df;t t$''r.t^,n unogitn'r 0, r"nk(e) O rau\\ib(a ) OJ"*Ye'uI)1) \)n\n "O d{ *v'v o, A -lrRr*Wq -?YPr *Bat 3z 'Y grlta+5qiB) ^2 k ll rdta. G,. t'11-C t"s{ rhr\$.r C r*?Ce t acr =I F.Cz'1 Ct = -2Y+5 fr,nt.o. isNfr\J O 1* -C1= -+x +2!-5X+5? z a >. lel, -t -?x+Y I u,_z | _x+* .lo. L , o n -t -l :.+b ] hL-zxt)+SGr*nrJ -(D-q -c1 = Ll-zr+3)+SC+t+) -O _gx+L?+s? gX --!..b-5t Dro.rerSarn F- q la 5cz-7 (a* -Ly-Fa) = -Zx+b 5Cz -?.+*+bb +t5, ? a -ZY+\C 5Cz = -2Y+X +Z+x-bb -lS? TCt = 25x -5; -t5? CL = 5x -b^7? =cr\,\i C.)= }r\&ASrnr016< cgLfin -Z'?z )+? (o* -2V-5r-) = x cr* lox -tp -b? +2?x-6b-ls? =)x Ct +1+x -Eb-21 G =X C1 = X -1+x+tsb +et ? Cl=-?6X-hqA+Zt? O$-tir \.ns\>ns1\r,\ah Ct , Cr ,C) ,, tf a.J"t r Xrr?lf1n,i, a*'o CI= 4bX+tbTt\? CZ? 5I-Y 44 €E c1 = or -tlv-5? N ar" R.*+., q^ \- -,q - rRs Nr'^rn rti"rte* 0rpt>rrrh NULrr\rn V lar$u a lGoCr, td*,t r*ton cX,yr+) e.cl)l)o) b,{t C 1 e -1LCtl + gtt) +2 \Co) = -1lr+g = -Li Cy ? 5Ll)-Cl )-1(o\ ? 5-i = 4- ^t ., C1 = qcl)-zCt ) -Eto) = 9-Z = 7,t*d., Qc\ t r lt ro\ = -Zq(t,rrf ) + 4(.?,910 ) + + (13,+1 oS.$( V rrC.t R1 ^\o@ V rfif"urvo).I)g IR3 -B lS. &"l..rot< F fr Iu. fl r ,.sil; lf p. l,^.:l:: }J' t iil,.{ {., .Itt)"+fli'ir ,J a gg]f J.* s B)nr: + "J* ,=4 (,Ehl., ffil i, I;1',?, dntn trrl l:n\fi.S a Smtt' \t't ,- Ctro,-tr {=:tl l='o:l'. ;3;l'..q i*X *srl r*t*'iJd fio.^.nqF "$*X\ 1 1 r*t-6 t-r -'*PrtBr-rP) r\-.\ | tt I \ t$*rr.Rtf,u-r.1oSlr I - -r-l\rr\n:\rr.rJ'-]lll I ?u,il';;' X\r*AI i rr,,r..*nrl l,**ol .r<5 t ^tlr'l J, fr. * ooh g,\n f oNr,r$(\qs!^ V rt*i$.li-r r&, td,rrBr, il',*r,- txrin6ull, tl^, ['o" tI1 f,-r rqf\ Pr-r Plrel ^- f t', t I lLo z 5 x+rl -?-tRz+Rlt*q.\rf t \l { ] rvr^rsxrw^,,t.'ldtr to o I -gb+x++l Ct+Cz+Ct=X '- 0 C2*2C1 = b -@C1 =4Y+X+7, -O \,[\ cr'\Jo.*\* o -lo( cL+ zk22+x+2) =b C2 - r+b-l-Lx+L7- =b CL- 52-zx-:'? rf1 c'-r\nlrCrtarrndu e -ld cr* (rA-1l;r..4| +(-22+x+?) =;4 C 1+1 2-)\ -ls >< Ct, qx-l?+Z drJLllr ' c r--?x -1y + b C?= 9b '-Lf"e27 C1= -Lfix+? ,h\X0 Nrrursn,rrr,olr Cr r e rlA. cfolhuluQ qcxxlr)et* q^l ig*$a, cerrro) g1.l; Cl = g(o) -o/'.1)+o = -1 Ct = f (l )-t (o) -t, (o) = q C1= -8(l) +Q+O = -Z i I I\\ )/ o\r\l, (ortro) = 4(lrQr-l )+5(lrrrl ) -LQrzr+) q^*J'db v w S'lnO \b$:q Cqil.d'or$*Ns,,ti.rsl +rrC*'I ) loiJr V ,$:Frvoullil.fc^T', lR? lb. rir,^*Q.{rrn \ =\*,Ah! \-.,i ,$txr=x\l r 3G)= Qx-f 1rA: r eft?. S*t",^*o+ln B r\o-,"rr o> .ll il PL,^Y.1.1 rr"l '.A _ll ItAr h6x)---4ft+ t a)nstoto.rdf V 6t= (T) nllrr F aua\tr\r,r.tm.i6 rx-.r.\!/'-- - *,nt..*'.lx c,$ +crg+rrh =o c 1 (xht) + cac?x r ) +cr( -+x+r ) = o clxt+cr* nczv- 1z-4(gx+ 19 =o c rF? + (?c ?-*(r) x +Ct{a-t cr = o 1&t."r,frv,'r .sr{t}{x t ^u rSa>rt\r1..-{r v trn raLlr ct =o \tt)n\1 C 1=e "ao+o + i ?Ca-\=O , et{a*t=o 1oi.lr -Cz *tq=q O tur: acz-utt=o (D -St =Q $f 4{o Cl=o r6r\oJi"r C, = O e:r{**r C1=o, t1 eo Il, Cr=o oht( vz i+,thb ,o$s*i*r*+ t^:>t>Ouqi\lr \"1* Q.r ptx)=orhbx*c 1o+t^,,1 *.9o1 \.t ?, *rr-v.l teNau IlrK): cr+ r erg+c"h tb. rir.^,*o\* T: fRt{tI* 1$*otnd.s> T(Y,:> =cr-ypx) E eJnsrrFruir T 1ti+nrrttJr*tbrx:*ui'o'li' O\)\r D*ntt.56.n$r*xu T Qx u = Lytrxr,) rv= cyrrya) e lRz frru.*r .. -T.Cte{v) = T((xrryr}tcl rrrr) =,T(tr*Yr 2T1*y. ) =$r+vr ) - (h+Ya ) rzch+x, =(x rtyr -Iz -y2) ?x,+1y, ) =(*1 -Ya *yr -)2 ??r.r +?yr ) =(Tr-rr ,?lr)+(Y,-ya l?1 ) = T(,*rrlu)*Tcyrlya) $xrracyr,;lTHXLe rR rir.irnrus gql! u0 I = f.(t Crr,xd) : f Lrtl ,!.rr) =(f.rr-hxa )zh*) Tcl.u) @ = k (*,-Yz r?x,) 7 }<T(xrrxa) orrQ \vs O]*$r T f frr**\urt l,o, tts \f( q \x*rn{}rrl}r.r!oD T wrrrnn Anrlpa.(draGu D6noJ ).r1agrrr f;f.,^r. RL 1:dl-S.uo\do € r = Cl ro) ; <?-= C01r ) onbgoi H. Tce,; = Tclro) = Cl-er ?.1 ) = cl13) ? CQ-l )?.o) = C-lrO) JI O\'O Tcerl = T(Q,r) llvtn(\rrlt5r.rrtd T Ft*', .rr rl'D ll ,rd ;l ft*.*"$x T: 1F3.-t[* ,fu*rtd,s, ( E ^r*!I 3s gf l1""u n r.u rb r,r.( ufu 1.r @1., rm b.vVn{*rr*rp*t o.r T : O q:fiouFa>rSorlrr\, O\f u\=Cxlrxsryr) ,v, $,il.rtl6-lFf Fnrno T(u+v) =T0r iluYr) + ?,,Ir r)r)) =T(tr*Xr,ry.ry, >\+b) =gcY,+1 ) )sr{, Y'r ? (rrrasl ) Tu+br) 3 Tcxrrleryr) +Tt"ar r?ulbr) ? TCra) +Ttv) l?, gqlE Ce)9,,x- \,t=hq1-tr,y1) e{fJ lv,s, LgtR F,nfft-x -Ttf.ra) = T(lqC* r r)h r\r)) = T(kvr r!"r"rLrr) s (2h,, kx) 3 le(gxr:yz) = laTtr,rYaryt) r'. T 1fl+rnouu.xrhj1-*r =lcTcra) (\,x lA-)1, I =o 1*rsxrnrXn.*..qr^,,1.. 6b ( t-))Cr- ) ) c7-)) :o g[a{, } =l)3 ,f}X"ol.inrrr{,slevra ,5-,^^,or\O) A ' tD ilR1lANor*gr*1'vo) A .Il,*^^s.| ) = t *o \r'nrl O, ai\nOLJ,S rrnt (n-t'r)x =6 *orrr-,, tA- 1.1), -:U*il1,:t,lq)f-l =tl ?t-o \-: f!lilIq :H E tnlflss\-ftl ill H o o1 rz\- O\J oof o 2 \ oLJ uaa\*,$a\t\ nd rh, A6\iJ " o> 1^r ^? r.(,rL,4, f; {;t:l -Zr1 * s\=O -4}O ?O a = o -l Y eL*Pt-)Re A- t(rr.. N.r rnr ^4,.1 aG* r t\^ F,r.rr,* O l rr x1 = t fc\ (+ etB) -2rq11l lirt *ril::::,J::: e^ J "{ r xe = s e B [}1'lil ?[]l"f[ =|fi ]+s[il rtrr'ltnlsn*,r\rq; volA dr*rtdrr )= Iv dS J un,J(1) An=i{: tqu{1rb, A C,*^8,.1 I zl, *r*otrr,tuaafi1norl sr.rri\r (A -v.L)x =6 {".''* (A -)Ir)x =( Hlll-"fbl{}H =(H111-Hi]IIl =l:?31[Iil =B] ur o$ rp.S-fu \Ernr,* X J vD u, rrlo{,,r1., Ao ?: l{l -Lo n-L -LO lfl _t ll 3l ? o l"l \loo lo{ -l L o o 0 Ir -l YF2+R, iK1 ^, l\l]19"e'fl 9- -rPl tln, EL -)lAa ^.,-LI €e@\, [{] ;ur,S e{L ttttl\} Sn**r rqwL. voJ A d,**>^.J ) = t B\o,.,i*llfirnrJrd I u: C, Z.tu.J!,*A{,tido t g^ .l t!A: ri.tt,.,l)ntn) *lXa S o,rtt.o{lr trl"( r\ F: ,? L[] = 'L\]+SLI] [11 =3[i1 +afll v^o11.,. &) Anorr- b{u{..vo) A *,A"rU "srrK tS,.\u\ t=l O \u I olo rX.ra&,, .foe rd,Svni r ><, = lit t}.,rr,rtrC r ,o,d > lrJrJrFr. ,$,f.. rr nrnl#, J ootls dt O) $ro,.r,. $w\: vor * t{t*rn}, h= I in*}, LII +Li] rr"'ltu t rbc:r i'l ,?r*Iu 0toblo*s rl',,^,ril,f ft = 0) *r*ahsnr d, [qu1:rt21 * O tJ rM,llPtrstxc r,(u 1.\gy trourr*Q ( -[hl (-[{] ()- lrz,*; A .i,*-fua\An.a(: ; t e 12. ).ft )=r ; teuz) b )'a []i il ttlil ,Uee)'-)=? O \rnrns( | = [Al:f$i55^**, A*d-,+u Gl,l* t = 2 rrfo.lJ (]J 1 €) o hQ-do JI {; x : I f l o'r t.r*$ $::^fi:*;;: I x'a't' h nA.rtG.d.i^ (I --L\ t'IQ\nuS 0) \\\rI rr = [ ll .{$ :s+}d,s*: rgu'f.'\rD) A LnJ *,rir,1gfru I vhFr.r\{h Or$ x = l?l odl(dta)Anuw5e,rar1: vo> 4L il *,**i ) rd.ti.r,,rl-r0q (1Jo$Q* tsXlaarotr) O trntno{ 6A