Asurface is given by z = f(az:,y) = 7r2 exp (7% 7 9'2). (i) Determine the domain and range of f then summarise the answer using set notation. (ii) Find a general equation for the cross-sections resulting from the intersection of f with the plane y : c, c E R. On the same axes sketch crosssections for c : 2 to c : 2 in steps of 1 / 2. You may exploit symmetry to simplify this process