Post on 21-Jul-2015
34235
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f;oisr nfiflnrasr{ 6ndl
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l2l -p + -q
I4l -q + -p
ffi r?oaoud:#suuu I sY'rra^on iiruru tc do < rio r - r+ I {oov 2 nvltuu
1. 1# p rrvrurJ:rnmf 'drvirdruruo:-l x 4nd'r dr x < 2 *dt x2 < 4-
q uvrurJ:vvtoti "drriudrueuo?l x 4ndrfi iruauoi'r y lrldrfi x'y=x-
rJ:cilodludolneioudfi riroruoiqfl urff o
ll l -p =r q
l3 l q+-p
2.d"r A={plp rflu'iruaurql\tsrrdv p nr: (504-2p)3 nld'rJ ttdrflnurncrosc rBn
ts'r e dodolosiolrjd
ttl e [2] 10 [3] 11 l4l 12
3. ,f,rururdrLlrndrururujsfifiudn uavnr:dru 90 nrsr'r drdrurudfid'rrnoltn'nr{urflu 2 uav
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lrl 6 t2l 7 t3l B l4l e
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11 2341 [1 23 4 ltr l los67l t21 lo912l
t00011 l -0 10 6 l
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dolnciohJdfro[1] R.-R,-o l2l D,vD"-r
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6. firn:rr'hosalRr: y = /(r) rflufl.rrii'utfiuuag c rfluirueul€slo 1 udr n:rv'ltolclnr:1u
rieln ei o bJdld rfl lfl r df u rvr"l
t l l y=f (x- r ) I2 l Y=f(x)+c
t3 l y=f( -x) -c [4 Y-- f ( -x)+c
:riaiyr 04
6ioim nfinqrasri t?ndl
2 - a r AJ ?uolvrgruvr 41r61fl0n'ru1l 2550
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' I3l z'/-z uuta 141 3"lZ vriTu
_ 8. rri;ilnur'rfinrrlur'lro.iunuronryirfiunarrarlto.rra6'ar:n6'rto.onr:rll.tar
x2 - 4x - By+ 28 - 0 drrr5fi'finluruiorgudnar,rrvirriu ] ,,d.l o.ruu,rnournulnroro i o y o , , , o '
?.t:u flo10 lnflo [uu
[1] 2 rilru tzl 2,/3 niletr
[3] 4 nil?u t4l 4,h rdeu
9. riruun}? IR uflurrynclol,i-ruaunis uny A = {x e IR | Se(z')-z = 6252"} r.tau?nlo.l
flrJr$fl1o{ a no,flolnsiohjfi' rrl -1 t21 + t3l o I4r I
10. rirtor .o, l,u..,un (])) Au+utmuttlc"\ \ 3 . / /
1l :1 ' ^ ' -3 t g l !, t r iT tJ l E . , s
I l. rirnuo}i tL '.Lay o rfluranrnofdl lu + ol2 + la - vlz = 22 ucty, lal = V3 drql
:cfldl t uny t rflu 60. ude rirrol t.a n'odolnriolild
f ia Pl ' /6' t3l vTz t4t Jm
r ̂ , , / r+V3i\10 n -- 12.d't z = (i-") udrdrarnfiutolnlru?nro{ z fiodolnciolild
r . , r_1*f 1 V5., . ' r , , l i l2 l - ; - ; i
. r . t \ . r Vs .t3l ;+; i r4l ; - ; i
13.d'rlf i ' A-U,2,3j rrav B = {1,2,3,4,5J udrdrururolfl ld{uorn A tJ a firf luq t v A o y o , , t ' iv{.:fllutll n010 t9ct0 tlJl.l
lrl 10 l2l 12
[3] 14 I4l 1.6
:riain 04 4 iuorfisrdii 4rlqf,6nruu 2550
doicr afinnrcni 6ildl [?a1 09.00 - 11.00 u.
I 4. duunnr:xtrtnrro{nrrrr6sio'lild
ngtIuu
2t -30 9031 -40 A
41 -50 5051 -60 B6I -70 10
drnsuuuludrunri.:rdeirdulndd 50 fio 40.5 udr rirts* a - r fiodslnrishjd
tll -40 [2] -30 t3l 30 I4l 40
ffi l?ocrsuil:rYrrruu t fi'ardonuiruru tl {a tdot5-28) doev 3 Rsttuu
' 15. 1i p, q, r rrae s rflurJ:slrtriler 'l
. lt'or:anrlsnlrldslild
n) 6'r t(-p (- s) ̂ (-r + q)l + (rv -s) frrirnrrltisrflurfit udrrirn'rrlriltor
p, q, r LLav s rilu li'r rfio rfin uav oil srruiirfii
t) dr fu + -q)vr fiiirnrrlri.rrfluuioud'r (p <+ r) + (gvs) frrirn'rrloiuflurir
rioloeiohlfiqn
[1 ] n qn nnr t qn [2] n qn ttaY t n'n
[3] n fin trav n qR [4] n n'n ttav'u fin
' I 6.r i rnunld IR uyurrynrosdrulusFluoy /={x€ Rl2lr+21 < l r+31},B-{xeRl/ tTT-- , l i=t}t d I u r dtJ0 tnno llluQn
l l l AcB l2 l BcA [3] A 'cB l4 l BcA'
17. rirruo}{ r rfiudrururdllrnfiirirlrnfiqerdfir: 16, 40 tras 100 rrd'lirsurvdsrdrriu
uav y rfluirururdllrnfifirirrloofiqodrr:dau 16, 40 trnc 100 rtdrfirqsrfi6otflu 19 o r u r a r
n110{ y -x no to taoo luu
tll 3Be .
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6
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5 iuorfindfi a uqrrn'nluu 2550
r?al 09.00 - I1.00 u.
lE. lnunts!?un1:s1luunl:Fl1![lo? v{1.1?1
-s 4 -3. |10 -7 6lB _6 5J
. rirxo{ r+y+z fio{olneiohJfilrl -e t21 -7 I3l s t4l I
' 19. drraun}i f (n) n'o tflufitinornnr: r: n dro 4 unr g(n) = n2 + |
rirrw Xi11o (f " dfu) 6o'ils1ecio1ildlll zsso 12) 382s [3] sloo l4l 6275
20.1# Ll rflutdusr:r 2x-3y-6=0 fidnunu x tlatrrntr f f i1n a ttcs B nrldtdu
rir c rflulnd.rnnrr:;u'irl1n A Lrcw B unv 1,, rflurduer:siioicqlnriu L, fi1n c uarer'n
runu X fi1o p udr dufitelautu6ul lCn n"sdslqeiel:Jd. - . 1 3 1 3
. f l f rrrr :rrnjru [2] f ,nt: trrdru' . ^ , 1 3 , . , , 1 3'"
t3J f nr:rwtjru [4] f nt:tuilru
2L 1o'roi6ar;ilnuid1n1dfi'aoqifi (+3,0) gnrilruqn (5,4) $iufi1o'tfirrl6o:rt*nrna 4gu6nnrs ns{o1neiolrJfi
ll] 2V5 nr:tcx ru t2l 4lE nt:r'trrjru
t3l 816 str:t.lfl ru t4l 16G etr:rqnriru
22. dr1o.l 25i*:s + gtos2764 +2i;**a- 5uoiu1r6u11t''
trl 2s l2l 26 t3l 27 t4l 28
. 23.rirruerlfi a-{e e[0,2] | cotd(1 -cosd) =-#:9J rrnrrnroqarrinror\ ,
- a t q I ! r a4 n010tnno t u
1l 3 ,n2J r?r . , , w! !. 3 Lzl T Lvl . 3
l x 2 -317 0 0 l 11 0 0lz y o lo r ol- lo 1.0L4-2z l001 lL001
24. firintorlnludolneiobJiifuyrqlto.rvr:rfiru6ulrprnrnfiiqorluds (1,2,9), (1,2,4),(2,2,3), (r,3,3)
trl (3,1,2) l2l G,2,4) [3] (2,3,4) l4J Q'4'3)
:riair 04
doisr nfinnrasr{ t?ndl
6 ?u0lytgluyr 4 flqflnnluu 2550
t?dl 09.00 - 11.00 U.
25. d't z1 uar z, rfludruaurS.rdoufi (2 * d) + (t + i.)4= 3 + 2i rras21l.2* (l -2i)72-2 - 0 udtrirror lz;11 6odo1npio1ilfi, r , ' 3 ,^, 3At t t , l z l - ;
[3] 3 tq 3a
26. neiosllr.rur.rfifq: 9 tu lnurifl:udasluocfifld{firLrornr uavfirar 1,2,... , g srrrurirdl ti
eiln8rrin:duuaorll ud: narrLrirocrflufiHnr?r.Jro{fi!1urnr#rao.rl-o:rrnn.jr 10 6o{oo t n , ilo0t0 tllu
nr 1 ra9- - 3 ' ' 3 6
r31 ; vti
27.d"t xr, x2, x3, xa, rfludoryaXnrdrdidrgrufioluavritugru6o 0 fifidufio 12 unsirirrniurnl,nru'ndo 1 udr rirtor Ef=r(xi -r)'? 6o{elnsio1r1fi
tll 76
[3] Bo[2] 78
l4l Bz
ffi r?oaouirnrTsuililrfiilrireroil druru r0 qio doas 3 nvuuu
L rirnuolr? x rfludrururfirLuenfirj:vnoudruratlnn 4 ndnd.t 2,3,4,S,6,lO,7t,1z,lzruac 15 fi'r: r alda udr rlnrrirro.r x
z.riruunl# a - [] l] o*nrirtor der(A+ A2+13 +...+/4s0)
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g t - , n r !zd. nlriunt,o{no{9r0 tulr
l r I 3.s[3] 4.s
x 0 1 2 5
l 1. r t . 5
rirdo{alndficlnr:fildrj:srLrorri 'r y 6o y=2x*t udrrirro.r s n'odolnciolildI2l 4
[4] s
l:riain 04- - r . i?u0'lYrgruYt 4 vlqflon]uu 2550
[?a1 09.00 - 11.00 u.doiryr nfinnresri tivrdl
e. 1# 1r1 ulrun'rdruaurdruurnfirLrnfiqnfirioun'jrniorvirdr x h f@) - 10(r- [r]) rtar
y = (f " f ' f)(72.34567) udr olririrlo.r [y]4. 1& AG,s) rflulorunr:rll a't y2 - 2y - 4x * ! - 0. dri r tflulcrooounv r rfluyrb'{fio
dr t, rflurdun:rfiriruEn A unz F
:yov?irs:sx'ir{rdun:{ 11 lras L2
5. rirnuol# a, b rflurirqrouto{duflr:
L, rflurduer:.:fir.i'luna y unstururYr L, rtd'l o.lvr
rsr,irururfrur':n uav A = {x e I+ lx1o{[sn ,4
log5r*2 log*5=3lnuf i a<b f r r 1+ t rmurrysr
e [a, b] unv 3 rr: r n.:fir] ud'l olurdrueuelrfin
O.lfresco rflufirfiduildruluru M uas N rfluyrrudru BC uas cD srrrLiird'lloufi
dn:rc i ' ru BM:MC -DN:NC - l :2 d ' t Td -aert+PTfr r tdar ' rmrr i r tor a+p
7. 1# I = {zlz2 - (2 - t)z - 2i = 0} uav B - {zlz2 - 5 - tzi} fr'1 6 - {lzl2 lz e A u B}
rudr olurrirrosnauanrorflrrfintor c
8. lf c rflun:rr'l fiirvewo.rlooontvirtirtryntoviru?urqfllv nn'xtt:n lnofi1nuon d uat j fiq r j , j a , , t l j v i - . . i
tdur'gtt :vtt ' lNao{lf iuonunaoluo i +j l tnsi + i < 10 o{f i ln1u?uldul luot qnYl
arur:our^r1#fiu c u,r'orirl# 6 rflun:rr'loouraof
9. drrurrlo 9 qnlurdu:orrunuuronuu.onutl dr r rtnc y rflu'iru,ugrJvnrorufiolfil::1
nrulur.rnnllotrldlorxrirdrflulne,onrlrunvfi6rurunr6uilrflu6 uav { orrliirrir rtde olnrrir
10{ . r - y
10. ncrruueouisrn'flqren{rrncnrsr'lnufinr:unnuourrrilnFunvfiritunrurvirriu 16nnt!'rnra
nrl.jrnvuuuluitrnfi orqrcnfto'teruoqirilofrdulvrdfi 78.81 drrvirdtrrlofrdulvrdto.r
nvuuunrsr'hufi'ldyro6 usiovuuunfisrqrcnidurrnn'itnvttuuntgtlvruoqi zo nstruu dr ,4
uac B rflurirurfiu{rlrurrq:nlurornvuuuirrnfingranfunsnrur'luuoudtdtr ttdr l.rttrir
to r / -B
Z 0.70 0.80 0.90i . i c y t , s y
u?'l t$rrdu tfl.t 0.2580 0.2881 0.3159