Show that the scale factors for oblate spheroidal coordinate

Show that the scale factors for oblate spheroidal coordinates are h_u = h_theta = a squareroot sin h^2 u + cos^2 theta, and h_phi, = a cos h u sin theta. (NB: d/du sin h u = + cos h u, d/du cos h u = + sin h u.) Find the Jacobian |J| of the transformation from cartesian to oblate spheroidal coordinates.

Solution

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