karyn23111 karyn23111

12-12-2022
Mathematics

Answered

Let F = 〈 z , 0 , − y 〉 and let S be the surface parameterized byr ( 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 uf(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 + v3. Calculate the flux of F across the surface S.Flux = (enter an integer)

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