1. The velocity in a one-dimensional compressible flow is given by u = 10x 2 . Find the most general variation of the density with x. 2. The x-, y- and z-components of a velocity field are given by u...

1. The velocity in a one-dimensional compressible flow is given by u = 10x²
. Find the most general variation of the density with x.

2. The x-, y- and z-components of a velocity field are given by u = ax + by + cz, v = dx + ey + fz, and w = gx + hy + jz. Find the relationship among the coefficients a through j if the flow field is incompressible.