Problem:
Find the curl of the vector field $f(x,y,z)\uvec{i} + g(x,y,z)\uvec{j} + h(x,y,z)\uvec{k}$ where $f(x,y,z) = \frac{z^3}{x^3}$, $g(x,y,z) = \left(\frac{x}{y}\right)^{3/2}$, and $h(x,y,z) = \frac{x}{z}$
from sympy import *
from sympy.vector import *

C = CoordSys3D('C')
x, y, z = C.x, C.y, C.z
f = ((z**3)/(x**3))
g = (x/y)**(3/2)
h = (x/y)**(3/2)
print(curl(f * C.i + g * C.j + h * C.k))

