If `5cos 2t + 12sin 2t = lambda sin(2t -tan^(-1)mu)` where `lambda, mu` are constants then `lambda` =____ and `mu`= ______.

Verify that the function y = 2lambda x + (mu)/(x) where lambda, mu are arbitary constants is a solution of the differential equation x^(2)y'' + xy' - y = 0 .

If the points A(-1, 3, lambda), B(-2, 0, 1) and C(-4, mu, -3) are collinear, then the values of lambda and mu are

The refractive index of a medium is given by mu=A+(B)/(lambda^(2)) where A and B are constants and lambda is the wavelength of light. Then the dimensions of B are the same as that of

Refractive index mu is given as mu=A+B/lambda^2, where A and B are constants and lambda is wavelength, then dimensions of B are same as that of

If maximum and minimum values of 2+2sin^(2)theta for all real values of theta are lambda and mu respectively, then lambda + mu =

The acceleration (a) of an object varies as a function of its velocity (v) as a=lambda sqrt(v) where lambda is a constant.If at t=0,v=0 ,then the velocity as a function of time (t) is given as (A) (3)/(4)lambda^(2)t^(3) (B) (1)/(4)lambda t (C) (1)/(4)lambda^(2)t^(2) (D) (1)/(4)lambda^(2)t

If the points (0,1,-2),(3,lambda,-1) and (mu,-3,4) are collinear,then the value of lambda and mu are given by

int(2)/((2-x)^(2))((2-x)/(2+x))^(1/3){dx=lambda((2+x)/(2-x))^(mu)+c where lambda and mu are rational number in its simplest form then (lambda+(1)/(mu)) is equal to