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Example 6. If z = f(x, y) has continuous second-order partial derivatives and x = r cos 0 a y = r sin 0,

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Example 6. If z = f(x, y) has continuous second-order partial derivatives and x = r cos 0 a y = r sin 0, show that a z 2 a z + = Jy2 a2z 1 z + 2 r2002 182 + r r

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