A buffalo (Figure 29) stampede is described by a velocity vector field F =xy y3, x2 +

A buffalo (Figure 29) stampede is described by a velocity vector field F =xy ˆ’ y3, x2 + y
km/h in the region D defined by 2 ‰¤ x ‰¤ 3, 2 ‰¤ y ‰¤ 3 in units of kilometers (Figure 30). Assuming a density is ρ = 500 buffalo per square kilometer, use Eq. (12) to determine the net number of buffalo leaving or entering D per minute (equal to ρ times the flux of F across the boundary of D).

Transcribed Image Text:

FIGURE 29 Buffalo stampede FIGURE 30 The vector field