Question: Let u = u(x, y), and let (r, ) be polar coordinates. Verify the relation Compute the right-hand side by expressing u and u

Let u = u(x, y), and let (r, θ) be polar coordinates. Verify the relation

1 2 ||ull = up + p2

Compute the right-hand side by expressing uθ and ur in terms of ux and uy.

1 2 ||ull = up + p2

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