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Complete all tasks (i)(iii) below for a particular function (surface) before considering the next func tion. (a) z = f(:c,y) = 332 10:1: +4312 163;. (i) Compute the standard equation of the contours resulting from the intersection of the surface f with the plane 2 : .2. (ii) Determine a parametric definition for the contours.| (iii) Sketch some contours for a small sample of c values. Note: The standard form of a hyperbola defined in myspace and opening in the a: direction is (33on (yyo)2 _1 T*T ' The asymptotes have slope ib/a and intersect at the geometric centre (11:0, yo)