Calculus (pleas help I really need to check this)

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...
a)3
b)1/2
c)1

I did them another way and the answers I got were
a)-6
b) -(1/4)
c) I didn't really get any answers here.

Please tell me which answers are right or if any of them are right...


asked by Catherine
  1. a) -6
    b) -1/4
    c) 1/2

    posted by Reiny
  2. a) -6
    b) - 1/4
    c) 1/2 = square root of t is
    1/2(square root of t)

    posted by Ralph
  3. Thank you very much for the clarification, could you explain to me how you got 1/2 in c please??

    posted by Catherine
  4. s(t) = √t = t(1/2)
    s '(t) = (1/2)t^(-1/2) = 1/(2√t)
    s '(1) = 1/(2√1) = 1/2

    posted by Reiny
  5. 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....

    posted by Catherine

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