Parabolic cylindrical coordinates. Parabolic cylindrical coordinates u, v, w are defined in terms of the Cartesian coordinates by X = = 1/2 (u²_ (u² - v²), y = uv, Z = W. (a) Determine the scale factors of this coordinate system, i.e. hä, h„, and h…. (b) Using the obtained expressions of hu, h, and h, in (a), form the expressions for gradient (V), divergence (▼ ·Ā), and curl (▼ × Ā) in parabolic cylindrical coordinates. X

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