1201BPS
ASSIGNMENT 2 SOLUTIONS.
1.
Domain of the function.
y=
x3
is defined for all x except when x 2 - 1 = 0, that is when x2 = 1 .
2
x -1
x3
y=
Therefore
x2 - 1
is defined for all x except x = 1 .
Intercepts on the x-axis and the y-axis.
When x = 0, y =
1201BPS
ASSIGNMENT 1 SOLUTIONS.
1.
(a)
TM
!
20 N
j
!
20
i
!
F
!
40
3N
20 N
TF
!
TM is a vector with a magnitude of 20 N and a direction 20 right of centre,
!
TF is a vector with a magnitude of 20 N and a direction 40 left of centre and
!
F is a vector of
1201BPS
ASSUIGNMENT 3 SOLUTIONS.
1.
5
y
!
x
Given : ladder is 5 m
dx
= 2 m/s when x = 4 m
dt
What we know :
(a)
x 2 + y 2 = 5 2 = 25 .
What are we trying to find ?
2
2
x + y = 25
dy
dx
.
given
dt
dt
(
d2
!
x + y 2 = 25
dt
)
d(x 2 ) dx d(y 2 ) dy
d(25 )
!