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Page 1: Add Math Formula

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

Page 2: Add Math Formula

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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