6. (a) Carefully sketch (and shade) the (finite) region R in the first quadrant which is bounded above by the (inverted) parabola y = x(8 - x), bounded on the right by the straight line r = 4, and is bounded below by the horizontal straight line. y = 7. (3 marks) (b) Write down an integral (or integrals) for the area of the region R. (2 marks) (c) Hence, or otherwise, determine the area of the region R. marks)