A function is homogeneous of degree n when (tx, ty) = t n (x, y). (a)
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A function ƒ is homogeneous of degree n when ƒ(tx, ty) = tnƒ(x, y).
(a) Show that the function is homogeneous and determine n
(b) Show that xƒx(x, y) + yƒy(x, y) = nƒ(x, y).
Transcribed Image Text:
f(x, y) = ху x2+y2
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