If u`-=` x-y-6 and v `-=` 2x-y-12 find the points (s) of intersection of the two loci
21 u +107 v =0 and 5u-133 v =0.

If u=(x-a)/(c) and v= (y-b)/ d then b_(xy)=

If u = (x-20)/5 and v = (y-30)/4 then b_(yx)=

find the missing letters in series. r S S S t U U U v ? ? ?

If x and y are two uncorrelated variables such that u=x+y and v=x-y, find the coefficient of correlation betweeen u and v in terms of sigma_(x) and sigma_(y) .

Find the point of discontinuity of y=f(u) where f(u)=(3)/(2u^(2)+5u-3) and u=(1)/(x+2)

Consider the differential equation. Dy/dx +P(x)y = Q(x) (i) If two particular solutions of given equation u(x) and v(x) are known, find the general solution of the same equation in terms of u(x) and v(x). (ii) If alpha and beta are constants such that the linear combinations alpha.u(x) + beta.v(x) is a solution of the given equation, find the relation between alpha and beta . (iii) If w(x) is the third particular solution different from u(x) and v(x) then find the ratio v(x) u(x)/w(x)-u(x)

If y=sqrt(u) ,u=(3-2v)v and v=x^(2) , then (dy)/(dx)=

Let y = uv be the product of the functions u and v . Find y'(2) if u(2) = 3, u'(2) = – 4, v(2) = 1, and v'(2) = 2.

If 5u + 3v = 13uv and u -v = uv , then (u, v) = _____