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The followingformulae may be helpful in answering the questions.commonly used.

ALGEBRA

2am.- n m+na xa =clm. n_ m-ncl 7a

(a*)n = a*nlogu mn = loga rn + log" n

log,!=logom*logonn

logu mn = nloga m

L l=ilr,

L Distance=W

8. logu b = logt btogc a

9. \ =a+(n*t)d10, Sn =\lr"+(n-l)dlll.Tn=arn-|12. s n =ry*=tY?. r*l

13. s = *, Irl. r

CALCULUS

4 Area under a curve= t'd* or= t*aYVolume of revolution= foy2dx or: f o12 ,tt

GEOMETRY

4. Area of triangle= |lrr,r, * xzlt * xr!,) * (xrt, + xrrz + r,.Y, )i

3472/2

The symbol^s given are the ones

-b*l.2.

J.

4.

5.

6.

7.

)v-

2.

3.

v:

dv dv du-i-=u-+V-dx&dx

5.du dvv--* -

u -"-dx dxudvy=-.3E

' v'dxdv dv dudx du dx

?.

3.

Midpoint(x,y,:(.=-,"?)Division of line segment by a point

(n4 + *r2 ny1+my2\(x,-),)=l-,-i\ m+n m+n )

lrl= 1,2 " yz

3472/2 Additional Mathematics Paper 2SULTT

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Irtv'

t/iE.f

2.

5.

6.

SULIT

l.

3. o=

4. ai=

(\u - r)

m:L + I t lC\r* )/= 0t-*1oo

Qo

3 3472nSTATISTICS

t 7 -LW, I,

LW,Q -tt o nl'()J

' (n-r)lf! n 4l't\/-

--' (n -

r)lrtP(AvB) = P(A) + P(B)

- P(AnB)

P(X: r)= n C , P'Qn*',P*q:7Mean, p= np

o -- ln?q--x*lt

o

9

l0ll12

13

t4

TRIGONOMETRY

l. Arc length, s = r0

4. seczA=l*lan2A

5. cosec 2 A: | + col? A

Area of sector, A: !r202

sin:l*cos3l:l

8. sin (l xB)= sinl cos Btcosl sin B9. cos(l tB;=cosl cosBT sinl sinB

l0 tan (A+Br- tanAttanBlTtanAtanBll tan2A= 3^4

1*tanzAr,., u b c

sin ,4 sin.B sin C13 az = bz * cz

-2bc cos A

14 Area of triangle: !ahsin1'2

2.

3.

6.

7.

sin2A = 2sin A cos A

cos2A:cos?A -sinzA:2cos2A*l

= | -

2sinzA

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T,J'G - ,)' 1,ft:T.f

3472t2 Additianal Mathematics Poper 2

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347212LULIT

THE UPPER TAIL PROBABILITY Q(z) FOR THE NORMAL DISTRIBUTTON N(0'l)KEBARANGKALIAN HUJIJNG ATAS $Z) BAGI TABARAN NORMA' N(O' I)

0 2I t 6I 5 E7 9t23456

Miaus I Tolok

789

0.0

0.r

0.2

0.3

0.4

050.6

07080.9

1.0

l.lt.2

l3t.4

1.5

1.6

1.7

I81.9

:02ltt

?3

:.5267.7

3,Efo

3.0

0.5000

0A&20.4207

0.382 r

0-3.146

0 3085

a.2743

0.3430

0.31t90l84l0 ItE70. I 357

0.llsr0.0968

0.0808

0.0668

0.0s48

0.0446

0.0359

0.02tt7

a.0228

0.0179

fl.O I 3e

0.0t07

0.&)8?0

0.00621

0 00466

0 00347

0.00256

0.00r87

o 00t35

0.4960 0.49?0 0.48800.4s62 0.4522 0.44830.4 t68 0.412e 0.40900.3783 A3745 A370'l0 34,09 0.tt72 0,33360.3050 0.3015 0.?9810 27W 0.2(t76 A.2&30.2389 0.ll5E a.23270.2090 0.2061 0.20330 r814 017E8 0.1762o.t362 0.1539 0.15150 133s O l3l4 0 12920 I r3l 0.r I r? 0.10930.0951 0 0934 0.09180 0793 0.0778 0 07640.0655 0.(x543 0.06300 0s37 0 0526 0.05160.0436 00427 004180.035 r 0.0J44 0.03360 0281 0.0274 0.0268002?2 0.0217 0.02120.0174 0.0170 0.01660.0t36 0.013? 0.01290.0104 0.0102

0.00990

0.007?6 0.007J5

0.006{t4 0.005E7 0.005700 0&153 0 00440 0.004270.00336 0.00126 0.003170.00248 0 00240 0,002330.00r8r 0.00175 0.0016eO.ml3l 0.00126 0.00122

0.4840 0.4801 0.47610.4443 0.4404 0.,11640.40s2 0.401 3 0.39740.3669 0 3632 0.35940.3300 0.3264 0.32280 2946 0.2912 0.28770.261 I 0.25?8 0.25460_2296 0.2266 0.2?360.2005 A.1977 A.19490 r?36 0.l7ll 0.16850.1492 0.1469 0.1M60.1271 0.1251 0.12300.t075 0.1056 0.10380 090t 0.088s 0.08690.0749 0.0735 0.07210 0618 0.06fti 0.05940.0505 0.0495 0.04E50.04@ 0.0401 0.03920.0329 0.0322 0.03140.0262 0.0256 0.02500.0207 0,0102 0.ot970.0162 0.0158 0.01540 0 r 25 0.0122 0.01 l9

0,00964 0.00914

0.00734

0"00? l4 0.006950.00551 0.00539 000523o.uxts 0.00402 0003910.00307 0.00298 0.0028e0.00226 0,00219 0.W2t20.00164 0.00159 0.001540.001 t8 0.00114 0.001ll

0.172t 0.46810.4325 0 42860.3936 0.389?03s57 0 35200.3'tv2 0.31560.2843 0.28100.2514 024810.2206 0.21770.1922 01E940.r660 0.1635o.t423 0.14010.1210 0.1 1900.1020 0.10030.0853 0.08380.0708 0,06940,05112 0.057 ta .0475 0.04650.0384 0.03750,0307 0.03010.02,14 0.02390.0r92 0.01880 0r50 0 01460.0r l6 0.01 ,3

0.4flt0.4247

0.3859

0.3483

0.312ro.2776

0.245 t

0,? 148

0. r 867

0. r6r I

0.1i790.1 1 70

0.r)9850,0823

0.0681

0.0559

0 M550.0367

0.0294

0.0233

0.0183

0.0 t 43

0.0t r0

0.00866 0,00842

0.00676 0.00,657 0.006390.00508 0.00494 0.{X)4800,00379 0.0t)36t 0,003s70.00280 0.w272 0.003640.0020t 0 00199 0.001930.00149 0 00144 0.001190.00t07 0.00104 0.00100

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