Let u(x, y), where x = x(r, 0) and y = y(r, 0). Assume that all of these function have continuous first and second partial derivatives. a) Show that d²u d0² Uxxx² +2Uxy XoYo + Uyyy² + Uxxoo + Uz Yoo. b) For u(x, y) x² + xy + y², x = x(r, 0) = r cos 0, y = = y(r, 0) r sin calculated by using the result from part a) and alterna- tively by direct substitution. Verify that both results agree. =

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