(a) Write down A−1 .
(b) Solve AX = B .
2.Consider the arithmetic sequence 3, 9, 15, ........., 1353 .
(a) Write down the common difference.
(b) Find the number of terms in the sequence.
(c) Find the sum of the sequence.
3.Let f (x) = x cos x , for 0 ≤ x ≤ 6 .
(a) Find f'(x).
(b) On the grid below, sketch the graph of y = f'(x) .
4.The following frequency distribution of marks has mean 4.5.
(a) Find the value of x.
(b) Write down the standard deviation.
5.The graph of y = p cos qx + r , for −5 ≤ x ≤14 , is shown below.
There is a minimum point at (0, − 3) and a maximum point at (4, 7) .
(a) Find the value of
(i) p ;
(ii) q ;
(b) The equation y = k has exactly two solutions. Write down the value of k.