Consider the transformation x=rcosθ,y=rsinθ,z=zx = r \cos \theta, y = r \sin \theta, z = zx=rcosθ,y=rsinθ,z=z. Find the Jacobian ∂(x,y,z)∂(r,θ,z)\frac{\partial(x, y, z)}{\partial(r, \theta, z)}∂(r,θ,z)∂(x,y,z).
rrr
r2sinθr^2 \sin \thetar2sinθ
111
r2r^2r2