3. Consider the portion of the hyperbolic paraboloid z = y2 2:2 that lies between the cylinders 322 + y2 = 1 and 2:2 + y2 = 4. (a) (1 Point) Give a parameterization for this in rectangular coordinates; making sure to give a domain of parameterization. (Hint: Use the \"function graph" parameterization, and give your domain as a single inequality) (b) (1 Point) Use your parameterization in part (a) to compute a normal vector to this surface. (c) (1 Point) Use part (a) and part (b) to compute the surface area of this surface. (Hint: Set up the integral in terms of r and y, then convert to polar coordinates)