" (8) "(15)/(u)+(2)/(v)=17;(1)/(u)+(1)/(v)=(36)/(5)

Solve the following system of equations: (15)/(u)+(2)/(v)=17,quad (1)/(u)+(1)/(v)=(36)/(5)

Solve the following system of equations: (15)/u+2/v=17 ,\ \ \ 1/u+1/v=(36)/5

The square root of the complex number z= (u^(2))/(v^(2))+(v^(2))/(u^(2))+(1)/(2i)((u)/(v)+(v)/(u))+(31)/(16) is (in terms of u, v, w )

The square root of the complex number z =(u^(2))/(v^(2))+(v^(2))/(u^(2))+(1)/(2i)((u)/(v)+(v)/(u))+(31)/(16) is

A car moves from X to Y with a uniform speed v_u and returns to X with a uniform speed v_d . The average speed for this round trip is : (a) (2v_(d)v_(u))/(v_(d)+v_(u)) (b) sqrt(v_(u)u_(d)) (c) (v_(d)v_(u))/(v_(d)+v_(u)) (d) (v_(u)+v_(d))/(2)

If u and v are two differentiable functions of x show that, (d)/(dx)("tan"^(-1)(u)/(v))=(v (du)/(dx)-u(dv)/(dx))/(u^(2)+v^(2)) .

Solve the following pair of linear equations by substitution method : 15/u + 2/v =17 , 1/u + 1/v =36/5 .