Question

is \(2y + \sqrt{x^2 + y^2}\) a homogeneous function?

Answer 1

@TuringTest pls help :D

Answer 2

a function is homogeneous of order n if
f(tx,ty) = t^n f(x,y)

if we plug in tx and ty for x and y we get
2yt + sqrt(t^2 x^2+ t^2 y^2)
2yt+ t sqrt(x^2+y^2)
t ( 2y + sqrt(x^2+y^2)
t f(x,y)
so yes, it is a homogeneous function

Answer 3

lol yeah..figured it out later on :S hahaha

Answer 4

good, it's always better to get the answer on your own....