Question: A function f is homogeneous of degree n when f(tx, ty) = t n f(x, y). In Exercises 39 42, (a) Show that the function

A function f is homogeneous of degree n when f(tx, ty) = tnf(x, y). In Exercises 39– 42,


(a) Show that the function is homogeneous and determine n, and


(b) Show that xfx(x, y) + yfy(x, y) = nf(x, y).


x+y y f(x, y) = x cos -

x+y y f(x, y) = x cos -

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