3
SIPA zsto o:w d = o( t co**-.^ %{o ) fr= P" CS^.ljJ $t'J E ^ t^ r,_e"i,1tl); ", tR- Pg ffi- Yw ?r{4" ?A.(bN. *,H= H I*rf t+r,&,x dr ktr 0,' e(*6 0r"'tet[ d-rrt tA tr=lt$tt [,"L]\tA P P0 = tS+B.b '-.' @ "',2t0':(?B"So) = a pB+ :Bo = Q$t?B+ SotBO : ?Br?S+$!5oA : fA+*atLl-Ja; 4 L T A - V dI + )td aK J( ,# d)(" So\trfTon 5sin 0 + tlcor g= rsin(0+i = r(.n 0 csldt cor $r.ndJ = sin0. fcold f cos0.rr,nj .'. r&rso(= 5& .,. E f-sia6(= 12 "- @ B Fsind - \2 * 6sx-s tand=E 5 F 6t'3sq h?11-$ r.(fr;z s r= tj",{ 5:\0+\! tor$' 13 sin (g + Lll,f) 13rt5 l8 A t0!t a.J' Attth r^rt$.4.,tcr _"_ P = V +x4!' ..... 6f J)C \c/ D.Fd'n- aiA-)r1'1'=o W 4t1 v 4il- r^ u(N=\ dlL --L dx Jr lrr X+ C !.^ML r' \vdv ) ^z !L? r.!Llz Vil= = *=,{nx+ 2 3'= )rt'(ut+z) AK?B=Lr.aC =q\o z-+(5u = I goo- (ie t K+ LP kBJ = [80** XC"-IPKg = too.- at KB . A Bcf ' tSDo- (rcrr+ zc tss) = lgo'-tilo-r-cpB -_ .td_ LtKg j. LA$L= t BLfl 4" " B O y=u* ""'O t-uil-^^r* @?j@,'+t8 ffi-*:1,v-rHI-,r'-E4:o .{-ur*vf=9, At-D\e/Lrt Lr.-- K* l\-l l>\l n@sl A ASL r.d a 0CK L ?BK- z-tcs L lv$ 'z ?$L ril ue JAY-?se aBti \4/ *! = KS _ Rs'- ?$ sz= Fc [.c,'h Bc=49-- 0D=OA')L ' .t.K$ =?st<

STPM 2010 Mathematics T 2 Answer

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Page 1: STPM 2010 Mathematics T 2 Answer

SIPA zsto

o:wd = o( t co**-.^

%{o )fr= P" CS^.ljJ $t'J E

^

t^ r,_e"i,1tl);

" , tR- Pgf f i - Yw?r{4" ?A.(bN.

*,H= HI*rf t+r,&,x dr

ktr 0,' e(*60r"'tet[d-rrt tAtr=lt$tt[,"L]\tA

PP0 = tS+ B.b '-.' @

"' ,2t0 ' : (?B"So)= a pB+ :Bo= Q$t?B+ SotBO: ?Br?S+$!5oA

: fA+*atLl-Ja;

4

LT

A

- V dI + )tdaK J(

,#d)("

So\trfTon

5sin 0 + tlcor g= rsin(0+i= r(.n 0 csldt cor $r.ndJ

= sin0. fcold f cos0.rr,nj.'. r&rso(= 5& .,. E

f -sia6(= 12 "- @B Fsind - \2* 6sx-s

tand= E5

F 6t'3sqh?11-$ r.(fr;z s

r= t j " , {5:\0+\! tor$' 13 sin (g + Lll,f)

13rt5 l8

A t0!t a.J' Attth r^rt $.4.,tcr

_"_ P

= V +x4! ' . . . . .6fJ)C \c/

D.Fd'n-

aiA-)r1'1'=o W4t1 v

4il- r^

u(N=\dlL

--L dxJr

lrr X+ C

!.^ML

r'\ vdv)

^z!L?

r.!L lzVi l==

*=,{nx+ 2

3'= )rt'(ut+z)

AK?B=Lr.aC =q\o

z-+(5u = I goo- (ie t K+ LP kBJ= [80** XC"-IPKg= too.- at KB .

A Bcf ' tSDo- (rcrr+ zc tss)= lgo'- tilo-r-cpB-_ .td_ LtKg

j . LA$L= t BLfl 4" "

B

O y=u* "" 'O

t-uil-^^r* @?j@,'+t8ffi-*:1,v-rHI-,r'-E4:o

.{-ur*vf=9,At-D\e/Lrt

Lr.-- K*l \ - ll>\ l

n@slA ASL r.d a 0CK

L ?BK- z-tcsL lv$ 'z ?$L

ri l ue JAY-?se aBti\4/ *! = KS _ Rs'-?$ sz= Fc

[.c,'h Bc= 49-- 0D=OA')L' .t. K$ =?st<

Page 2: STPM 2010 Mathematics T 2 Answer

4Ag=A!

-4*r[ = ru(-{ r4,)

5 O H= H.=+. ?... R-- fii..5 Vr rul"q)

(, . crrnl qn u*t,idk.

KB^ }x=JSsL a-

PcR) -- o.>5t lc l= o '6K*q!l ; t),

' tQl

tL0'b)

[ t i i

k?; ?c

oA>

o0. +c

-t-X(::Ef+l= -&{+/rr

?ill;:,i" t( t)t I (c') - ?(t'1' ;:;; o.r5 +(t-o'Q -ttAntl)

:* f1A0c) z S,t5p(c/ lr) - t$l , o ' !s,| \- l -/ ltft o.1,5

X^ru(4f, rc22

. . ,S

T-?([x-+rl > n) <on]

? ( *-'r8 > k)" t(x-+r<-u)ro,3? ( +[8'f-J * P(ry l-t).o,3P( 3 rh)tP(41-?")<o'J

.,ffi)?(z'g1 . . f f ;

?t?>?")<o.r f$-* ?( e> fr6h) = o'6

. '" & 2 [ 'oj['L > to'?6

7= X- 4r

k t+\ \4= l l

F$)o9,L9.1

I

I

V

= t* J

lr h*s4 "-h-3t:YW=-++,

"*^ ntxl =>VJ(y-)]'=- fri+S^j1o'i)+5t"\)

->OL

-)&o+-1 +

I0i=-io8L-q-+ -- t ;?

=LEq?)'2( 'r ' . f (1

' . 121-o.t)+ 3:

trlrtx) " E(t) -p

x

_ -5X=\X+Tg5+*7+*3S =OJ(^

{ ! ̂ \L/ y'q (o.\u-[luo't^r

. ' . dL= *00

#ri-9Ju:or=kil

Page 3: STPM 2010 Mathematics T 2 Answer

@)

lxe\ \2,0O ,r X<O

0Rr Xco:

ilrrqillan r\ N(lT 4fi<.{el

Itt >? h,rr )tt t$ = 8 r.ryro

Ftrl= P(xs4(E X = nr,rnrbcr 4 ry, {d\ \" tsh\

f=Or0l , n= )oo :n1= Z ((S utt* [rs\*rJn^ t"tf)

Y''' q (1)*,*--i,'- #)=dtt )lf =T,),e[].'

P (Y >3) = t - ?(\ 13)

% = I eroo%++? l8 ' \K' '1.

r+=[t,c,ttg

)t*jHt:= *

ixgx/t-F(*)= J o

lixt*''-Dp(x>lJ= \- ?(xel'1

=\- d'^['?i,, 4,.*,-*,]: \ - -sd'3

foltlt &R

?o- +.s

= 0.\t\ Grrn^..t^hv(

X*B(n,0.11) . I u

n c ^Q

-nqJ^(o,o* ;n" > o.ts( t ) (o"t l )^( i ) yor lS

= O- t+21

ucb

6.0 -- ?.0 8'o lll vd^r"

ru0.4f"\-t

, tr_ [ ,Tr*,\

= \d7

fC t/}0r\t$.H = hc,\.)"!\)'fr^^\ h h&\h'

l!{irth\ l,"f-$,-\:$'l*"I* l:trx^,g(",p) |

,.f *:

Q3- 6 'Ssenn; r{* = !( q-a,) = !([#.rl