Thread: hemisphere flux for exams

Hi,
I require help with this q.thanks.
find the flux of F= (xz²+y )i+( x²y-z)j +(xy²+y²z)k
outwards across the entire surface of the hemispherial region bounded by
z=(1-x²-y²)^½ and z=0

Hey n22.

It's been a while since I did these integrals but you need to find the normal vector to start off with.

Remember that the normal vector is the cross product of the derivative in one direction with the derivative in another (i.e. with respect to x and y).