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Consider the spherical polar coordinates (r, 9, () defined such that. x = r cos() sin(9), y = r sin(@) sin(9), z = r cos(9)

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Consider the spherical polar coordinates (r, 9, () defined such that. x = r cos() sin(9), y = r sin(@) sin(9), z = r cos(9) The associated scale factors are given by h, = 1, ho =r, ho = rsin(9), Find the expression of the surface element dS on the c coordinate surface Please give your answer in terms of "theta", "phi" and "r" as = dr do

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