(Homogeneous functions) A function f(x i,...,xn) is said to be homogeneous of degree k if...

(Homogeneous functions) A function f(x i,...,xn) is said to be homogeneous of degree k if f(λx1,..., λxn)= λk f(x i,...,xn) for any λ. For example,

is homogeneous of degree 3 because

State whether f is homogeneous or not. If it is, determine its degree.

f(x,y) = sin (x2 + y2)