Calculus (pleas help I really need to check this)
posted by Catherine .
Assume that each of the follwing functions gives the position of an object at time t. Find the velocities indicated by setting up and evaluating a limt algebraically.
(a) s(t) = 3t^2, Find v(-1).
(b) s(t) = 1/t , Find v(2).
(c) s(t) = square root of t, Find v(1).
The answers that I got were the following...
I did them another way and the answers I got were
c) I didn't really get any answers here.
Please tell me which answers are right or if any of them are right...
b) - 1/4
c) 1/2 = square root of t is
1/2(square root of t)
Thank you very much for the clarification, could you explain to me how you got 1/2 in c please??
s(t) = √t = t(1/2)
s '(t) = (1/2)t^(-1/2) = 1/(2√t)
s '(1) = 1/(2√1) = 1/2
Could you please tell me how to do it evaluating the limt algebraically? I'm trying to do it and I can't get it....