Please provide the full answer ? I have attached the reference approach below.

Solution (4 ) = = fluly ) = 2 2 - 10ze + uy2 - 16y plane ZIC ( = De - 2 x 5 x x2 + 25 - 25 + 291 = 2x 41x# 16-16 C = ( 26 - 5) - 25 + ( 24 - 4 ) - 16 C = ( m - 5 ) " + 4 ( 8 - 2 ) 2 - 41 ( 2 - 5 1 2 ( 8 - 2 1 2 u 4 1 1 = ( 7 - 5 ) + ( 8 - 2 ) C + 41 NOW De = 5+ JC+41 cost 8 = 2 + fc + 41 sint 2 3 ( =0 1 2 , 3Complete all tasks (i)(iii) below for a particular function (surface) before considering the next func tion. z = f(2';,y) = sin(:r2 + 25: y2 4y). (i) Compute the standard equation of the contours resulting from the intersection of the surface f with the plane 2 = 0. (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 xyspace and opening in the a: direction is (mx0)2 (yyo)2_1 T*T ' The asymptotes have slope ib/a and intersect at the geometric centre (3:0, yo)