Nothing Special   »   [go: up one dir, main page]

'L'''ii ',1i, I''i,,ilil'

Download as pdf or txt
Download as pdf or txt
You are on page 1of 8

4--,'*

Beg'trI Rnk..d U,\.r.i,i.


, ,a
t(1r,gpul
r)m,,n.a.ti p{cirFrtrft,
,- , ,.errs

Couhe Tnte: Dht.erc mnrhenrali.{


INB.A,*%
r4!!p!reie!tu!!!!!ru!!suc ;!E;;r!!rt",",,,-,,,1
'l'''Ii.',1i;,i''i,,ilil' ""u',.^.',', i \on.',,',,m" t r
h']r.'..rr',r;r'pn.rc*si,rr,,,..,.,,.,,..,-,.,,r,.ir,,..o
j.,.,....htr., )
I luru,!n,,trrnorh(nh(,".por,o, i.,*.
ltrgr r'\flcrt ,, ' ''rr' '1' Dnf.(i or... '.
_" c
r 17.v1 'c'''rr''1'Dnf.(ior...'.
| -L]',r.,,..,"'..,,r,,.-1.vL''
-', ]\,*,r,.,n-q".-,v,".,,".,r*,, -
'"' ':,ll l"'l; l'i..:-l;,, ,',"."1;,,,1,:.,..
,1,;"
''' ., " "." lf
] ,

I'
/'''t'tl'''"'':
l: ";
"
i: l"l"t:,._:;:r:1,";,;t:." "n *.* -- ;, J

",;:l:,i:".,,',r
l'i
wl.- r- .{ri,..L \ i .rl d,,lj'.cri'l .vcr..rA.u'd c,rcd
.l.c'rc n .rd d.g'cc
t DmNa pscndosrap[ triti nrc sivci adjaccrcy m. tix lvith resnec( kJ (h. orderinc oIveni..s

Write doRn prop. icsoleraphnNar.rn Ddcnnr m Nhdherrh. eraphs 6 afd //disDhtied


bclo* ar! GoDxrDhlc iu{ify your aDswer.

Llb) l I
FoIJR aolOR'IHEOREM in shod. Whar is rhc chrom ic nnmbcr oI K,.

Itetrbyusi',gad..niontcc Gona(cadecislontreerlrato e6th.

l_
Aosrver thcsc lollowins q$sio.s .bou nre Nored tr.e ilhr{ekd
i) lVhicI Y.nlccs.rc i'nenrl2
iil wl,ich vsnir.s ftc chlldren or/)
iii) which lcticc\rr siblirgs of gl
iv) hrhcrcolcd btcr lnllit- ytcc JoraDy

I
,l
,. |I .
''
I
r:li
I

olrlrcsc!'arhsaret.\l(Gmphs cn nei Gl. C2. Cl i', seq"e ri

I
| !rrinr!1 - ilrl,r tu1.\n,c {,ifrl
Ilegnm llolieya U.ivcrsily, Rangli!r
l)qrarncfr ol{lo nnL rc' Sc ctrc furd Etrgiir.crirg
B q..,lj !.,.. ' .. ..jotr.-o'3 i'-:.r
csE 1102
Sl'uturc{l I'mgrinnnn,g Lrnetrrst
lN 3: ABwe t d ny live (s ) que lions dnd liqun in th? tis ht n qir indiatu lutt n kn
lAtt po^s al eo.h cu.sran nun be onswercd saauentiottyl

l. tr) l drldd \.1ha\.r scrils kclLr

rrre n nbqs.rh.l icDs \ould yoL hkeb i'nD'ove

r) \! rd n d]c tnlod dlllrc lollo$ir! *strtr rtrh crcorcd..\0liid

ll.i'nll r,i\n . nri,lro):

ll\niii rh! s) ri\ol do..,slrilcst]fcr !


in nt r trsi',{ \ hiI l(]on. nhrr rhe trL nbcl
( ui\nl!rtlr! fol!\ r!(l! snippd

\!]]:!!!!l . !," unp r, ,h , .od!r!u]t!t:

l).liM\ rlrrr$y op.rnri.sirh sr lrLne qxrnp c


1\l!n,u. C0.To' ML.r t!L \!r
1r r c.onpir.follo\s dr.irr! r
Disq$lro\ irr tialrrltr.sc r bci$isfed ro i nr rtdimoEioD;l
.i-.,. r) \\'rxlrtrLrepo s c1.b.ror.d
Ur itc 1Irc [ro1or]'pcofa n'ncrjor iamed v,,!, rtm( arkcs i,leler rah'c and an itrrler

ro0r.ri1o\rlrcnlvcDrslLoba \arlarrcsrsnnr ner6k)

lrinl. s rtr. \ r t'..rcd"..ran


'\..'

Sralc thercan rsol re fd o\rir-r declrrziiotr:

wrar ls llE orfut ofrl[ lo lo\v fgcodc?

D,[0] = l00i

$rrcJC tr -stunr
..q.ip rotrtr bc6

:Ll,r i!c\ l,Lis.Ll\ r rrg(\


llcgn li0krt! tiriycrsitl,IlrnAInr
l)ep.rlto.nt nr Con,Duter Scichrc {nd l:nlinsecrine
DSr llngg) l"lear2"lsemcierri'ral [\aminaton 20]8

olfie lnlldrile luncrion. i)), = a'

Lvdlualo rhc lalknving L,.ri1


i)riF,-,(!ti +s -a) ii) Iim--, (\tiJ-37 - r,) iii)tim.-
Deljne coDrntuit! .t ai ideNal. hnctior lir) is d.hrcd.s tullorvs.
/(i)= r+lr \|en 112<r<I)
=i 2r \\hen 0:r<1,/2
=-1+2r sh.n r>r/l
ne r nrircr,cL.n'iru rJ,,t r ( l tr!r.n /(Ll rr

U:ha1dolorDrcatrb!dilJa,lnllalcoctii.ieh(? ri ,n lc I r nn r nL dr. Ll rcrcnrEl


$effciemol rr +lr+l ,n./ .'
Slnle.nd Do\c 1[c l,cib.]12 lheorcm

b) l'irxlr.ilr=.;sho\ihal(1 rr)r,. \r,.,(:,+t) (,,'+,)).r =0$hen

r)
,1 slxlcindprcrerhe Mc.D !,luelhedcnr
b) r,lnd rhc yxhLc of .in lhe Incah vatuc rtrcoreDr if i) f (x) = x., a = L b = 2.
ii) /(r) = Jr.a = 4.1 = e.

5i) Whar do rounrean b) DrarnnJand ririradta tuncrnnr? \llirc do*r c\eccssr,_v and
. , ''ir l'.' 1,'\ r
b) ',
rim rm n,nriDrn an,l miiimnnr utues 01 r wtrot,,=l*I ,,,,,r I*,.=:
6. lnrcsilrc rny lour(,1)ol1he }nllowjnr 0
-.lrtr.t, o.t,-, ..'I '.' i.. 1,, ," ,, t "
',i+-'
7a) rrl hcodl.mus on la.bland F atry,.ridcrirali\. ollor la.hl, thc. prore lh.l
.( /G).ir =,.(r) -
r'(d)
h) Ilndrhearlaol rsuhcerhalisgencmtcdbt.rd\ol\.tDgrtrc0orlionotrhccui\c v
bc$eetr \=0and x = I abdur rtre \-,\k
IJesrm Itokeya Univcsitl,, Rangpu,
D.prhcdr ol Corpu{cr scicDcc ind lireircern'g
l'!ear2"JSeDrcsl., r$dlExnuirxtri.n.2013.(s€sionl 2017,181

D t): A6n'ot ar\'li\t (5)tt ?ttn,tt"nrts ksi't nE ipht untsht ntlitdl. ftnl n -kq

lN 1,r A$n'o nnr l:ive (5) Q .stio s. Nu ,bt ot each lwnnD h n licded tD the tieht l

l.(r) ll\t,lii',Itrer $h xlrLixs',nolnda.i'*f .r nlsc i(Ddu.lor l


th) C(! t,c nccl[rsnr orhoh otrr flor r i \c'niconhrct,. rv[) nnnbcr or ]+l='l
!cd'oNatrdhoLcsm.cq$li', ftr tr\ics.tr,icotrdtrclorl
(c) $lrtsiLicotrisfrelerf,lo\crlcrna[iLnx\r'ni.ondtrtrd.ri.A] l
I k) L\Daif lhcditti'fl biisi(orrhcr rLtrclit,,r dnnv krl,rrdd<icqrvc
ih) (inerlt ncordiiia'enrseni.ordLdordlodcs\i1[r]trns\i,hli :r

(c) Atraclolralc.lpc.lML.l5vs..n,ed iLr t.iesrilhas lio'didler al oad :l

ll llr tutr\ri ol r\c dlod. k l:!). ulcL de (i) perlt


'esnhr..l630I) 'shhncc
q' (n r y.trlr, d,ode. ( i) perk on(pu1volk3.
I1.) wliar izerrni.J.)li\[anluranlho\Terrdodeu:ed'sr\olr.ge'egLhtf] lrl=l
(h) tvirh.fc rkerc,. c\Dl.i', rlk tr.ili',! ola,l I\ayc,cdll.r nlc,d'lde t r+4=7

.1. (r) whrl is lJ.T? Frfl{, rhe J ii'.trll-rpcsollinskro


(b) lro\ \otrdrn lhedc loi(llincoi Ir.o[[ncl*a.r.']{.\.1. (usnorl'\i1, a

k) Lrihln[ 1fc (lxiotr hd\ettr rth 0ora Hrl


5 (x) tuA!lhdtu'N di r ntrdiordtudc e\Dlxii 6
'c!c'schiascha,adtrkri.solip
rhdn{ulir velj_

(h) Dr\crih. rhr Nrcnlnl d vdtr h iDg hod ln' r Eno, llo\ {rbillzd o0 or :r+ =4
'n
dDdari,! [di' nrcrie\cd b! this fdh.d

6 G) Dos rlre'Mln'Nr) 1rke place in lEll'Wryl


(b) t)lxNll,tr)tr,bolsoldilfcrnltrp.s.l Jl lil.id MlrsfFr l
(O F\ri i rl'cqI{fl dtr,'.r11(yki'rsii'iNinlcol d.pclior noJerr-pcvosl,Il
7 (d \,lll1isOp./\'np? \rircdosn1r srlrzed !u a(rs(icsolarOp ,^nrp.
(, l) ne e\p'.snN lnrrollaqe srin hr i'nr f -! rid ron i r.lirs oD A'np
(o ri\)rir()|,Af]rrs(i)n,n,ntr!.inrfiicrxrd( ) iii.! tu! x rtit rtu.
Bcguln Rokcya Urivclsity, llangPnr.
I)cDxrtNcnt of Co trtcr Scicnct rnd trDginctring
Yrir t ' Scn,e{n !'nrrl li\Nn,inxli,r' 201r lsssi0nr 2017_18)
.r,tr^c lirl.: lrux,ni$: (inrr\r ( ril!: l'l( () 1225

l;\otc: \urtl'us ilt th. tizhtr -litt i ti.nt. rA'l.I .nth qtettk t.)

\\h ir lldro n !\ rrJ s Lr\ llo\\.ntrdr [coFNils]


.l
l).,.ih. x rfDrnri!l .(ufr\ iid I lfilr\ilnir! c.ofonr) lLrdrcconnnicsrsr'trilrrlr\nrll
!.ll.d Llr.ntr..nlo i*. (trmr1tr{loi hA\.rlitr.rniFrri.s?l:\llrirr
l, r nLt l\ n d.ri! \ho p.,h' ns n\. 6At P,.ccJrrcsr li lirl! ..\ile1 .fuI \hilcntrrs l'rh
ir trq.rinr.\ lk lr)lrl) f! ( \nr li lcn I rursr (u Lrt.s iir la nriNles |.. tdh xnd r(rir's
m Lilt o';riluirl. L. kdh \hnrtritrg. r n o(css rtlrrrio:r:r0 nrnic! l,.rlkldr g$tl 1llr01)
ld. nrr.rirL ,\SU tu h.f ls requir . ls rD\llrirg nn/rirg iLo(1 lrxLk's fricilS Px!'L l

r.N rL \\,\ Jo d.n trrl or \!s l0r R\l qi.( s sl.P. tlo" (.rdi 1. rlr! ri r'
d. r n,rnrtl Strl l,os. 1 ri,ral lirnrLnnr s 311.I lJ D l0 lP xn(l n rl]l\
r\ S -:il) lp \\iLlrlrcr.len r.xl{iccrFLliliiuir ourPtrrl
.unc ll.D, thl.rirtrLlurcLn)r Q 50 l0D
\\'[, r. rhc1!]cso .!r{i.i1\ rnl 11.\'xrt rltc\ sL.u ilcdl
Slifr rh. iu$hiI hrrl(n.lx(ir lr xxlt x !.\.f1. !l r lnir
'.L
t. 1r) li' nxl\ tlrlcr hr l,uJ!.r .i i itrt
1l) ) lli\ !rr tr. rlnlrrr ir!) Ir rnrlrg !.fds
itrLl:.tr cls k),nx\i trnr rLiLr\ l l
Itr l) tr,r nr n! lintrl 0(i nl irsLLl\ rD th. doNi\rrd sl.PriS d(dtud c v. E\Fl.ir l

:. li) \linUrlxlnrshiIr.ru! L01r. nr,!i'rxL. xntL.v.r.ge nnl'cll,!rnhicillv I


lb) llL r l\ !1.\uLb. Di.{lrcLlon lr r.riur \r rlr n$ \rixLl.li.ro$ ol|rodu.lidr
(r) l).s.,rhr1Lr.frirr$.lrl,,nxig1r!lnr)1.-!1
6. r,i \\hxL rth.nrxnrtrfLiIlI.1l[\rLrnrhc1 orsi.]lr.\.r'iIl n I
I ,t l)i.r0s rlr. rirrnLr Lld\ . l,..Durir\
r(r \\,xr n rlN.l r.r.L Lllcrl rl i.1 i, Lh. X.\ .siii N{.ll
rxl lr\flri,r rlr nrlli|ll. trnunn.Lr. wh) l\ rl l m r plxNi ir .(Dcnr ol r[ 100IlNl ].6.r
$uilll" , !tU1b\ iut 1l,in rt l00l \!h) is rhc .ll.d. rq0illbtrtr!1 orrPlr linile? d.
\.lfo\ 1l,d 1!r. Nr ridi.r rs l1l\'ll')sl

You might also like