यदि `(ds)/(dt)=2t^(2)+t-1` तथा s =0 जब t =0 , तब s तथा t में संबंध ज्ञात कीजिए ।

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

यदि S={0,1,3,5} और T={2,3,5,6} तो SUT तथा SNT ज्ञात करो-

If s = sec^(-1) ((1)/(2x^(2) - 1)) and t = sqrt(1 - x^(2)) , then (ds)/(d t) at x = (1)/(2) is

int_(0)^(1)t^(2)sqrt(1-t)*dt

The instantaneous angular position of a point on a rotating wheel is given by the equation theta(t) = 2t^(3) - 6 t^(2) The torque on the wheel becomes zero at a) t = 1 s b) t = 0.5 s c) t = 0.25 s d) t = 2 s

The temperature T of a cooling object drops at a rate proportional to the difference T-S, where S is the constant temperature of the surrounding medium. Thus, (dT)/(dt)=-k(T-S) , where k(>0) is constant and t is the time. Solve the differntial equation if it is given that T(0)=150.

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