(a) Find AB .
(b) Given that X − 2A = B , find X .
2.The following table shows the probability distribution of a discrete random variable X .
(a) Find the value of k .
(b) Find E(X ) .
3.(a) Find ∫104 (x − 4)dx .
(b) Part of the graph of f (x) =√x-4 , for x ≥ 4 , is shown below. The shaded region R is enclosed by the graph of f , the line x =10 , and the x-axis.
The region R is rotated 360° about the x-axis. Find the volume of the solid formed.
4.Part of the graph of f (x) = ax3 − 6x2 is shown below.
The point P lies on the graph of f . At P, x =1.
(a) Find f′(x) .
(b) The graph of f has a gradient of 3 at the point P. Find the value of a .
5.Let sin100°= m. Find expressions for each of the following in terms of m
(c) sin 200° .