Let F = 〈 z , 0 , − y 〉 and let S be the surface parameterized by
r ( u , v ) = 〈 u 2 − 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 ⋅ d S = ∫ 0 4 ∫ 0 2 f ( u , v ) d v d u
f(u,v) = (enter a, b, c, d, or e)
a − u 3 + v b − 2 u 3 + v c − u + v 3 d − u + 2 v 3 e − u + v
3. Calculate the flux of F across the surface S.
Flux = (enter an integer)
