1. (a) Find the domain and range of the function z = f(x, y) = - Vx2 + 92. [2 marks] (b) Based on your knowledge on common curves sketch the followings curves in two dimensions: (i) The curve (x - 3)2 + 32 = 9. [2 marks] (ii) The curvey = V9 - (x - 3)2. [2 marks] (c) Based on your knowledge on common surfaces sketch the followings surfaces in three dimensions: (i) The surface z = - Vaz +y [2 marks] (ii) The surface z = 4 - VI2 + 92. [2 marks] (When sketching a graph indicates the point of intersection with coordinates axis)