UNIT 2 MATHEMATICAL METHODS
FORMULA SHEET
Mensuration
Area of a triangle: 1sin
2bc A
Area of a trapezium:
1
2abh
Curved surface area of a cylinder: 2rh
Volume of a cone: 2
1
3rh
Volume of a cylinder: 2
rh
Volume of a pyramid: 1
3
A
h
Volume of a sphere: 3
4
3r
Coordinate Geometry
2
12
2
12 )()()( yyxxABd
Midpoint of a line joining ),( 11 yx and 22
(, )
x
y: 1212
,
22
x
xyy
Calculus
Average rate of change between ),( 11 yx and 22
(, )
x
y: 21
21
y
y
m
x
x
1nn
d
x
nx
dx
1
11
1
nn
xdx x c,n
n
Chain Rule: dy dy du
dx du dx
Product Rule: ()
ddvdu
uv u v
dx dx dx
Quotient Rule: 2
du dv
vu
du dx dx
dx v v
Probability
Pr( ) 1 Pr( ')AA
Pr Pr Pr PrAB A B AB
Pr
Pr | Pr
AB
AB B
Transition matrices: 0
n
n
STS
END OF FORMULA SHEET