use the definition to find if F(P,r,w) = 40P^2r^6w^-7 is homogeneous of any degree.
For a function to be homogeneous, it must satisfy the form:
f(zx,zy) = z^n f(x,y)
where n = 1 to infinity
Multiplying each variable P, r and w by z, we get:
F(zP, zr, zw) = 40 (zP)^2 (zr)^6 (zw)^-7
= z. F(P,r,w)
where n = 1
Thus, the above function is homogeneous of degree 1.
use the definition to find if F(P,r,w) = 40P^2r^6w^-7 is homogeneous of any degree.
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