Let F = β© z , 0 , β y βͺ and let S be the surface parameterized byr ( u , v ) = β© u 2 β v , u , v 2 βͺ , 0 β€ u β€ 4 , 0 β€ v β€ 2 ,oriented upward.1. Find the normal vector < ______, _______, _______ >2. Set up flux integral and find the integrand f(u,v)Flux =β¬ S F β
d S = β« 0 4 β« 0 2 f ( u , v ) d v d uf(u,v) = (enter a, b, c, d, or e)a β u 3 + v b β 2 u 3 + v c β u + v 3 d β u + 2 v 3 e β u + v3. Calculate the flux of F across the surface S.Flux = (enter an integer)