How Do You Calculate the Flux of a Vector Field Through a Parametric Surface?

[lazyluke]

Homework Statement

1. The expression F = [x,y,z] defines a vector field. Given the parametric representation of a surface S:[u cos v, u sin v, u^2] = r (u,v), where the parameters cover the ranges 0 ≤ u ≤ 2 and 0 ≤ v ≤ 2π, calculate the flux F through the surface S.

Homework Equations

How do i start this problem?

The Attempt at a Solution

I know the transformation equations for the cylindrical coordinates, and:
flux=Int(E dot dA=Int(divergence of E d tao
Im not sure if i should find the jackobian, but if so how do i work with the parametric representation vector r??

P.S. sry about spelling

 

[lazyluke]

Am i even in the right department with those questions?