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
Obtain a maximum value of the function f(x) x3 - 12x + 11...
If m = 3, p = -3, q = 7 and r = 5/2, evaluate m(p+q+r) ...
If x : y = 3 : 2 and y : z = 5 : 4, find the value of x in the ratio x : y : z ...
Given that Y is 20cm on a bearing of 300o from x, how far south of y is x?...
TR is the tangent to the circle PQR with centre O. Find the size of ∠PRT ...
If 2x + 3y = 1 and x - 2y = 11, find (x + y) ...
Solve the quadratic inequalities x2 - 5x + 6 ≥ 0 ...