page 08 MARKS 14. A net of an open box is shown. The box is a cuboid with height h centimetres. The base is a rectangle measuring 3x centimetres by 2x centimetres. h 3x 2x (a) (i) Express the area of the net, A cm2, in terms of h and x. (ii) Given that 2 7200 cm A  , show that the volume of the box, V cm3, is given by 3 18 4320 5 V x x   . (b) Determine the value of x that maximises the volume of the box. 15. The line 3 17 x y   is a tangent to a circle at the point (2, 5). (2, 5) 3 17 x y   The centre of the circle lies on the y‑axis. Find the coordinates of the centre of the circle. [END OF QUESTION PAPER] 1 2 4 4