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In each of the following cases , determi...

In each of the following cases , determine whether the following function is homogeneous or not. If it is so , find the degree. (i) `f(x,y)=x^2y+6x^3+7` (ii) `h(x,y)=(6x^2y^3-piy^5+9x^4y)/(2020x^2+2019y^2)`
(iii) `g(x,y,z)=(sqrt(3x^2+5y^2+z^2))/(4x+7y)` (iv) `U(x,y,z) =xy+sin((y^2-2z^2)/(xy))`

Text Solution

Verified by Experts

The correct Answer is:
(i) It is not a homogeneous function
(ii) It is homogeneous function of degree 3
(iii) It is homogeneous function of degree 0
(iv) It is not a homogeneous function.
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