The report stated that part (a), was not attempted by majority of the candidate but majority of those who attempted it performed well. They were expected to complete a table of values for the relation y = 2x + 8x-2 for 1 ≤ x ≤ 5
X |
1 |
2 |
3 |
4 |
5 |
Y |
10.00 |
6.00 |
6.89 |
8.50 |
10.32 |
|
|
|
|
|
|
Using the formula [(yo + yn) + 2(y1 + y2 + … + yn-1)],
the integral = [(10 + 10.32) + 2(6 + 6.89 + 8.50)] = 31.55 units
The performance of candidates in part (b) was reported not to be different from that of part (a). Candidates were expected to recall that gof = g(f(x)) and the carry out successive substitutions and simplification to obtain gof = g(f(x)) = = 3 + .
gof(2) = 3 + = 4.