8 points] Consider the set S={(z.y) e B (2 14 + 4> 4} =T NUNP vhere T = {(x,y) B? : (x 14)2 + ? 14} (a) [2 points] Describe very briefly what the sets T, U/, F look like and the intersections T' M Pand U M P (b) [4 points] Determine the points (if any) where the boundaries of each of the pairs of sets T& P, U& P and T&U intersect, then draw the set S neatly. (c) |2 points] Hence or otherwise find the point(s) that minimise the function f(x.y) = y over the set 5