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+7 and x=f(t). 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

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

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

Let x=2(t+(1)/(t)) and y=2(t-(1)/(t)),t!=0. Then,the value of (dy)/(dx) at t=2 is

If " "x=t^(2),y=t^(3) ," then "(dy)/(dx)" at "t=-1" is "

If int_(0)^(y)e^(-t^(2))dt+int_(0)^(x^(2))sin^(2)tdt=0 , then (dy)/(dx) at x=y=1 is

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 int_(0)^(y)cos t^(2)dt=int_(0)^(x^(2))(sin t)/(t)dt, then (dy)/(dx) is

If x^(2)+y^(2)=t-(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)) then x^(3)y(dy)/(dx)=(a)0(b)1(c)-1(d) non of these