Find the flux of b = 2xyax + z2ya. y + 3x2y'1z over the surface defined by z = 1, 0 < x < 1) 0 < y < 2. 3

I'm assuming is the vector field I've suggested in my comment,

Parameterize the given surface - call it - by

with and . The flux is given by the surface integral

where the surface element is

(or use , depending on the orientation of the surface)

We have

so the surface integral reduces to

(or possibly -2, again depending on the orientation of )

the answer is 48m^2!

step-by-step explanation: