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A function f is called homogeneous of degree n if it satisfies the equation f(tx, ty) = th f(x, y) for all t , where

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A function f is called homogeneous of degree n if it satisfies the equation f(tx, ty) = th f(x, y) for all t , where n is a positive integer and f has second- order partial derivatives. If f is homogeneous of degree 3, then a2 f Or2 + 2xy + 7/2 =A f(x, y). What is the value of A? Ordy dy 2

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