Question

Find the degree of f (x, y)=X3+y3/x+y​

Answer 1

Answer:

F(x,y) is a homogeneous function of degree n if, for any real number t ,

F(tx,ty)=t

n

F(x,y)

Here, F(x,y)=x

3

+y

3

+3x

2

y+3xy

2

F(tx,ty)=(tx)

3

+(ty)

3

+3(tx)

2

ty+3(tx)(ty)

2

=t

3

(x

3

+y

3

+3x

2

y+3xy

2

)

=t

3

(F(x,y))

So, F(x,y) is a homogeneous function of degree 3

Answer 2

Answer:

itne bade bade question puchte hue alas ni ata