2
ALGEBRA
1 x =
−b±√b2−4ac2a 8
logab =logc b
logc a
2 am x an = a m + n 9 Tn = a + (n -1)d
3 am ¿ an = a m – n
10 Sn =
4 ( am )n = a m n11 Tn =
5 log amn=logam+loga n12
6 log a
mn
= logam−logan13
7 log a mn = n log a m
CALCULUS
1 y=uv ,
dydx
=udvdx
+vdudx
4 Area under a curve=
= 2 y=
uv
, dydx
=v
dudx
−udvdx
v2
3
dydx
=dydu
×dudx
5 Volume generated
= or
=
GEOMETRY
1 Distance =
4 Area of a triangle
=
2 Midpoint = (x1+x2
2,
y1+ y2
2 )5.
|r~| = √x2 + y2
3 A point dividing a segment of a line
(x , y ) = (nx1+mx2
m+n,
ny1+my2
m+n ) 6 r~
¿
=x i
~+ y j
~
√x2+ y2¿
S4/ Final Year Exam /Additional Maths (Paper 1)/2010
3
STATISTICS
1 x = Σx
N 8
2 x = Σ fx
Σ f 9
3 σ = √ Σ ( x− x )2
N= √ Σx2
N− x2 10
4 σ = √ Σ f ( x− x )2
Σ f= √ Σ fx2
Σ f− x2
11 P(X = r) =
5
m = L + ( 12
N−F
f m) C 12 Mean =
6 13
7 I =
Σ W i I i
Σ W i 14
TRIGONOMETRY
1 Arc length, s =r8
2 Area of a sector, 9
3 . 10
4 11
5 12
6 sin 2A = 2 sin A cos A 13
7 cos 2A =
=
= 14 Area of triangle =
S4/ Final Year Exam /Additional Maths (Paper 1)/2010
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