8/12/2019 [Edu.joshuatly.com] Klang Trial STPM 2010 Maths T [D6180F2E]

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\10 Functionis definedv f(x) = {]t" + | - lt - xl - zx . :t^Lr x>2

(i) Sketch he graphof f and state ts range.(ii) Statewhether is continuousat x: 2 giving reasons'(iii) Solvehe nequalityl2x+ 1l>lt - *l+ 2x for x

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( b)The ine umbers, 5, 13,5, O,13, , x, y have meanOf8andmodeOf5.Find i ) thevalues f thetwo numbers andy.

(li) he median f thissetof ninenumbers, t4Itiiil the variance f thisstof ninenumbers'12( a)Tenpeopleareasked question uccessivelyn a randOm rderandexactly of the 1Opeopleknow he answer.What s heprobability

that the first 3 of thoseasked o notknowshe answer? [ 2 It b ) n people reasked question uccessivelyn a random rderandexactly of the n know he answers.f n > 5, what s he probability

that the first4 ofthoseasked onotknow he answer?Show hat the probability hat the rth personaskeds the first to knowtheanswer53-(n-il if 1<

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^ (t3u()= n n (Buc)t I' r , .An (B'nc: ' ) |=. . (Aol i )f r ( ,4nc,)' (A s) (1 (n_c)l

JW Tt/St lria-l exa,"r AAt U + t' '* ."dsiaqt+ gc,cs,( - tH rnt n vko*'= A**, x t *k,n*+ |drv &tf f ie ' - '+ f f i r .* '+ Ht. ' r*vde'r

: - Aa'r rn4t *BaLcusa t Id 'v ^L, ^,rffi e*- # *o*+ ,kt Ft L c-r* , + # c, , .1* rK'+ : ; :uo", 'I4: + o(vcl iL T f+p t 1u' - b

P: rK t - K'-{, (- I6S PCcr+' ,2(. ' - 4 = _.r

, t**5x--s6= o(x'*+){x-+ q,),o9, ,

\ ' -+ 'x ' - ' )1(ytae*A1

d4ffi 2-r,{=:CIy-?ci t=af"_*t ' )$t - 2crt ' = ?c _ c,tr9 ' t '= r< -r crt |

-tci-1d c: C) .9t - c^t}

:i = c't(S(o, qr) I SCq,o)y*o = t t*_ + z>eX= 2 , 4o j' )c: :2, i -_a ']:2- t3d -a-1 - 3c I.=rt . '4e*., ; .Qa;|C.., .

(z + L)t ; . '4, 4r, 12'e =, . ' r ; ,,' I,? '- 3,c , ,t ' ,, '- l b? ; *- 4 * . '>,q. I )L

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X= -?-U'Cr+e) - * * ' * , . . - -Q.r..(S,- ; r - + t^ * ,? ;* ,* '+($)t-+)(-)l '? '1=l-r{- -*r ."**-x} t Z

( 5 r 3rJ' f f i t uK t ' ( .5t r- [ .s 2x)--t . t^ * ^.-tij + L-o)

(i ' ?-*)-=3-l + er{i)" " *lfGr)* ats++'(i^)'r.=;( l -bo**, r"--}- , . ' * l

- , . ( ' - t+_JY.)+ n*1" =QJ ' 'c y-?.J"ct -2 ' rC - + = (J

'x-a - r< - 2 : r)'1>c+r) t rc-a)=i : IX= -- l , X= Z

,a- - . 1, 1J,, . :")

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.-a'-- ( ; ' : )= -1r I

- ,_*) l' r t, t )*h) ,

"_{

IC

c" c-+ -(c')'c I/F9aC =( -=

x(>r+6)/ '= lt ;c +z/(rr .1 ll= l-+

- t+- ( x-r2.X 1+)- Cf .x+L II

triu rt[rrlo*-i';y

t+-+ ' x+t

IYa^."X f -,Lz0- D,t.tw\ +Cr) = ox -.2--..|*;-*c^)= I'Y.'-)1 'ta{x. ; rrs- ? . ' "L-

i l )LL.Y J >c '- sx+ 6

(o,u)o-

r ' \ 1-*rr)=\)1IIIt\

4x-z)c

)- ;g 5 ' JJ-s

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tr,.{Cl.t*l

C:ny;o(4r .i t"{. C[.n"iS i r5- (9Lq.1 : {Uq "twr"rr;Xt i4ua1 > -lnrg(

Wfiwa*nt-s5

Q'sY sf.{..hi;dtr 11'q ttesj I 3*-+1

tb:.--{ r?'s?(-->t5s)t -'

e b.eluv'zz< e? ..( a^.e{34

1,1 ')/ r ' , *

l1u') --| r (M). l - r 'K >o,Y\k

IsI,1ll

LILrl '{',- ' ^L*:: *3 rh_) vLwx

^ D, SIra,7L

a

f>

4--b' 5

2-I n' 4 'ore ? )b qq-s>< -->

{ht n.w-"l-"x' i wl,",fp< J .d-l lat-twa*a th=^'t :6a qI Wl 1? -r Y SZ x ta'tlg*lWaate4< { s *.rhoZ- 6E J,

$: ' u,{ , Q : 6,r'1 : M' *iaak'4t >tu ('( vli"(\-zvna4r t gA) t2 ( /v\ P(g4f,A + Ptkq u lt

1Q ,

0-q(to- 5L

Prelu ' . f ) ( g^tvl 'lt C lrt'.L l0-16