Let `y=x^(3)-8x+7 and x=f(t)." If "(dy)/(dt)=2 and x=3 at t = 0," then "(dx)/(dt)` at t = 0 is given by

Let y=x^3-8x+7a n dx=f(t)dot If (dy)/(dt)=2 and x=3 at t=0, then (dx)/(dt) at t=0 is given by 1 (b) (19)/2 (c) 2/(19) (d) none of these

Let y=x^3-8x+7a n dx=f(t)dotI(dy)/(dt)=2a n dx=3 a t t = 0, then find the value of (dx)/(dt) at t=0.

Let y=x^3-8x+7 and x=f(t). ( dy ) / ( dx ) = 2 and x=3 at t=0, then find the value of (dx)/(dt) at t=0.

Let y=x^3-8x+7a n dx=f(t)dotIf(dy)/(dx)=2a n dx=3a tt=0, then find the value of (dx)/(dt)a tt=0.

If y=sinx and x=3t then (dy)/(dt) will be

If the solution of the equation (d^(2)x)/(dt^(2))+4(dx)/(dt)+3x = 0 given that for t = 0, x = 0 and (dx)/(dt) = 12 is in the form x = Ae^(-3t) + Be^(-t) , then

If f(x)=int_0^x(sint)/t dt ,x >0, then

" If " f(x) =int_(0)^(x)" t sin t dt tehn " f(x) is

x=f(t) satisfies (d^2x)/dt^2=2t+3 and for t=0, x=0, dx/dt=0 , then f(t) is given by (A) t^3+t^2/2+t (B) (2t^3)/3+(3t^2)/2+t (C) t^3/3+(3t^2)/2 (D) none of these

The velocity of a particle moving in the x-y plane is given by (dx)/(dt) = 8 pi sin 2 pi t and (dy)/(dt) = 5 pi sin 2 pi t where, t = 0, x = 8 and y = 0 , the path of the particle is.