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Write all spherical harmonics up to l = 2 (there are nine of them) in Cartesian...

Write all spherical harmonics up to l = 2 (there are nine of them) in Cartesian form,
i.e. give expressions in terms of x, y, z, and r. You can either use the Rodrigues formula
for the Legendre polynomials or start with the given expressions for Y
m
l
in terms of θ
and φ. In any event you must show your work.

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