A function f is called homogeneous of degree n if it satisfies the equation for all t

Chapter 14, Problem 55

(choose chapter or problem)

A function f is called homogeneous of degree n if it satisfies the equation for all t, where n is a positive integer and f has continuous second-order partial derivatives. (a) Verify that is homogeneous of degree 3. (b) Show that if is homogeneous of degree , then [Hint: Use the Chain Rule to differentiate with respect to t.]

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