2. Show that the velocity $q = \frac{4x}{x^2 + y^2}i + \frac{4y}{x^2 + y^2}j$ satisfies continuity at every point except the origin
3. The x component of velocity is $u = x^2 + z^2 + 5$ and the y component is $v = y^2 + z^2$. Find the simplest z component of velocity that satisfies continuity.
4. For steady incompressible flow, are the following values of u and v possible?
(a) $u = 4xy + y^2$, $v = 6xy + 3x$
(b) $u = 2x^2 + y^2$, $v = -4xy$
5. Under what condition will the velocity field be incompressible?
$V = (a_1x + b_1y + c_1z)i + (a_2x + b_2y + c_2z)j + (a_3x + b_3y + c_3z)k$
a1, b1, c1, a2, b2, c2, a3, b3, c3 are constants
