If ` y = a sin (5x + c) ` , then

y = 5 sin x

If x =4 cos A + 5 sin A and y = 4 sin A - 5cos A , then the value of (x^(2) + y^2) is :

If x = 4 cos A + 5 sin A and y = 4 sin A - 5 cos A, then the value of x^(2) + y^(2) is:

If y = a sin x + (5 + 2x) cos x, " then " y'' + y =

Given below are some functions of x and t to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent (i) a travelling wave, (ii) a stationary wave or (iii) none at all (a) y = 2 cis (3x) sin (10t) (b) y = (c) y = 3 sin (5x - 0.5t) + cos (5x - 5t) (d) y = cosx sin t + cos 2x sin 2t

If y=A sin 5x, then (d^2y)/(dx^2) =

If y=A sin 5x, then (d^2y)/(dx^2) =

If sin y=x sin(a+y), then (dy)/(dx) is (a) (sin a)/(sin a sin^(2)(a+y))(b)(s in^(2)(a+y))/(sin a)(c)sin a sin^(2)(a+y)(d)(sin^(2)(a-y))/(sin a)