1. In each of the following surface parametrizations, filling in the missing two entries. The highlighted curves are "grid curves for the parametrization. Justify your work. b) The surface 2+ y = 2 is parametrized by FO, z)=(.. The surface 2+y=1 is parametrized by F(0.2)=(... The surface 2(z 1) + (y-5) + 4z = 1 is parametrized by F(0, 0) ( The surface is parametrized by F(x,y) = (..... 2. (a) Identify the surface with parametrization r = sin e 1 ...........cos(0)/2) 2= COS 2-5) y=u where 0 2 and -1 3. Hint: Find an equation of the form F(x, y, z)=0 for this surface by eliminating u and e from the equations above. (b) Calculate a parametrization for the tangent plane to the surface at (x, (0./3). (e) Calculate a formula for a unit normal vector field, n, to the surface in terms of u and e. Hint: n(u, v) = where (r. y.)=r(u, v).