Answer only one of the following two alternatives. EITHER The curve C has parametric equations x = t², y = (2 - t)³⁄², for 0 ≤ t ≤ 2. Find (i) d²y/dx² in terms of t, (ii) the mean value of y with respect to x over the interval 0 ≤ x ≤ 4, (iii) the y-coordinate of the centroid of the region enclosed by C, the x-axis and the y-axis. OR The curve C has equation y = (ax² + bx + c) / (x + d), where a, b, c and d are constants. The curve cuts the y-axis at (0, −2) and has asymptotes x = 2 and y = x + 1. (i) Write down the value of d. (ii) Determine the values of a, b and c. (iii) Show that, at all points on C, either y ≤ 3 - 2√6 or y ≥ 3 + 2√6.