Let F = ā© z , 0 , ā y āŖ and let S be the surface parameterized byr ( u , v ) = ā© u 2 ā v , u , v 2 āŖ , 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 = ā« 0 4 ā« 0 2 f ( u , v ) d v d uf(u,v) = (enter a, b, c, d, or e)a ā u 3 + v b ā 2 u 3 + v c ā u + v 3 d ā u + 2 v 3 e ā u + v3. Calculate the flux of F across the surface S.Flux = (enter an integer)