If `(ds)/(dt)=2t^2+t-1ands=0` when `t=0,` find the relation between s and t.

If (ds)/(dt)=2t^(2)+t-1 and s=0 when t=0 find the relation between s and t

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.

The normal at t_(1) on the parabola meets again at t_(2) then find relation between t_(1) and t_(2)

A particle starts moving rectilinearly at time t = 0 such that its velocity(v) changes with time (t) as per equation – v = (t2 – 2t) m//s for 0 lt t lt 2 s = (–t^(2) + 6t – 8) m//s for 2 le te 4 s (a) Find the interval of time between t = 0 and t = 4 s when particle is retarding. (b) Find the maximum speed of the particle in the interval 0 le t le 4 s .

If (dT)/dt=-K(T-S) where K and S are constants,find T when T(0)=100.

If frac{dT}{dt}=-k(T - 85) and T = 160 at t = 0 then the lvau eo T at t = 45, is

If int_0^1(e^t)/(1+t)dt=a , then find the value of int_0^1(e^t)/((1+t)^2)dt in terms of a .

If int_0^1(e^t)/(1+t)dt=a , then find the value of int_0^1(e^t)/((1+t)^2)dt in terms of a .

If v = 3t^2 - 2t + 1 , find the value of t for which (dv)/(dt) = 0

Ifint_0^1(e^t dt)/(t+1)=a ,then find the value of int_(b-1)^b(e^(-t)dt)/(t-b-1)