If w varies inversely as uvu+v and w =&nbs...
If w varies inversely as uvu+v and w = 8 when
u = 2 and v = 6, find a relationship between u, v, w.
uvw = 16(u + v)
16uv = 3w(u + v)
uvw = 12(u + v)
12uvw = u + v
Correct answer is C
W α 1uvu+v
∴ w = kuvu+v
= k(u+v)uv
w = k(u+v)uv
w = 8, u = 2 and v = 6
8 = k(2+6)2(6)
= k(8)12
k = 12
i.e 12 ( u + v) = uwv
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