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In: Advanced Math

Consider the orthogonal coordinate system x = uv cosθ, y = uv sinθ, z = (u2...

Consider the orthogonal coordinate system x = uv cosθ, y = uv sinθ, z = (u2 −v2)/2, with u,v ≥ 0 and 0 ≤ θ < 2π.
Express the volume element dV in terms of u, v, θ.

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