1. ASSIGNMENT 2 – DUM
3272
1.
Write a formula for the volume of a cube.
b.
2.
a.
The volume of an ice cube decreases at a constant rate
of 6 cm3/s. Find the rate of change of its side when its
length is 3 cm.
(4m)
approximate value of
3.
3
26.99 .
(5m)
(4m)
∫ ( 2 + x − 5 x ) dx
b.
∫ 3 ( sin 4 x + sec x ) dx
2
2
Express the following function in partial fractions and hence
x +3
find the integration for ∫ ( x − 4 ) ( x + 2)
5.
when x = 27. Hence, find the
Integrate the following functions:a.
4.
dy
dx
1
3
Given that y = x . Find
(1m)
(6m)
dx
Find the area bounded by the curve
and x=3
y
y =x 2 −9
1
0
x
y = x2 + 1
, ordinate x=1
(5m)