The velocity vector field for a fluid flowing in R is given by v = (xz,...

 

Transcribed Image Text:

The velocity vector field for a fluid flowing in R is given by v = (xz, -yz, y) m/s. Let S be the oriented surface that is the portion of the plane x + y + z = 8 in the first octant with upward orientation n. Compute the amount of fluid crossing S per second in the direction of n. The velocity vector field for a fluid flowing in R is given by v = (xz, -yz, y) m/s. Let S be the oriented surface that is the portion of the plane x + y + z = 8 in the first octant with upward orientation n. Compute the amount of fluid crossing S per second in the direction of n.