- #1

drynada

Determine the flux of the vector field $$ f=(x,(z+y)e^x,-xz^2)^T$$ through the surface $Q(u,w)$, which is defined in the follwoing way:

1) the two boundaries are given by $$\delta Q_1=\{(x,y,z):x^2+y^2=1,z=0,y\ge0\}$$ and $$\delta Q_2=\{(x,y,z):x^2+z^2=1,y=0,z\ge0\}$$

2) the points on the two arcs $$\delta Q_1$$ and $$\delta Q_2$$ are connected by straight lines, which are parallel to the plane $$x=0$$