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Math Help - finding a function

  1. #1
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    finding a function

    1. Find a function that satisfies:

    F''(X) = (6/(5*SQRT(x)) + 4

    F'(1) = -3
    F(4) = -6


    No idea on this one, I don't remember doing these kinds of problems at all.
    Last edited by topsquark; April 30th 2011 at 05:32 PM. Reason: Reposting second question in new thread
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  2. #2
    Senior Member abhishekkgp's Avatar
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    Quote Originally Posted by battleman13 View Post
    1. Find a function that satisfies:

    F''(X) = (6/(5*SQRT(x)) + 4

    F'(1) = -3
    F(4) = -6

    integrate F''(x)=(6/(5*sqrt(x))+4 both sides w.r.t x to get F'(x). one arbitrary constant will appear. that constant can be found out by satisfying the equation F'(1)=-3. similarly integrate the expression for F'(x) and hence find F(x).
    No idea on this one, I don't remember doing these kinds of problems at all.


    Lastly evaluating a limit... I think I'm doing it right but confused. I don't think it's this simple.

    I'm evaluating the limit as X approaches E from the right of
    ((X - LN(X)) \ (LN(X) - 1))

    It works out to E - LN(E) in the numerator which is E - 1
    and LN(E) - 1 in the denomiator which is 1 -1 = 0

    I am left with E-1 / 0 which doesn't seem right to me.
    did this help?
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