Let F = 〈 z , 0 , āˆ’ y 〉 and let S be the surface parameterized byr ( u , v ) = 〈 u 2 āˆ’ v , u , v 2 〉 , 0 ≤ u ≤ 4 , 0 ≤ v ≤ 2 ,oriented upward.1. Find the normal vector < ______, _______, _______ >2. Set up flux integral and find the integrand f(u,v)Flux =∬ S F ā‹… d S = ∫ 0 4 ∫ 0 2 f ( u , v ) d v d uf(u,v) = (enter a, b, c, d, or e)a āˆ’ u 3 + v b āˆ’ 2 u 3 + v c āˆ’ u + v 3 d āˆ’ u + 2 v 3 e āˆ’ u + v3. Calculate the flux of F across the surface S.Flux = (enter an integer)