(a) Use the methods of Example 6 and formula (10) in this section to determine ∂2/∂x2 and ∂2/∂y2 in terms of the polar partial differential operators (Hint: You will need to use the product rule.)
Use part (a) to show that the Laplacian operator ∂2/∂x2 + ∂2/∂y2 is given in polar coordinates by the formula
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