Please show all work, step by step. Thank you so much!

(10 points) Parabolic mirrors and reectors have the shape of a paraboloid of revolution. 3. Find analytically the area of the reecting surface of such a mirror 4 feet deep and 8 feet wide by revolving the parabola about the yaxis. b. Check your answer with an integration program. Take and post a screenshot of your answer. c. Does your analytic answer from (a) match your computer answer from (b)? {2% or no)