Mathematics - Algebra & Differential Calculus

[quote=theBMB]how do you know what week her notes are in?[/quote]

[quote=doof][quote=theBMB] how do you know what week her notes are in? [/quote] well, im doing the same problem task at uni. i googled the question to confirm i was doing it right. seeing how mab121/126 is only run once, i know what week stuff was taught.[/quote]

[quote=jhoijhoi]:) Well, as you can see, question one is pretty much done, and question three is... sorta done, lol, have you made progress on question 2? Maybe we can meet up and study ^^ Do you play LoL too?[/quote]

[quote=doof]yeah, catch up could be good. i live in the city. nah, dont play, just found this forum today. check out this on the "gamma function" http://en.wikipedia.org/wiki/Gamma_function i could be wrong about laplace transforms.[/quote]

[quote=doof]ive solved 2. intergrate by parts to give t^(x-1).e^-t + int e^-t.(x-1).t^(x-2) take (x-1) out the front of the intergral. that leaves (x-1) gamma (x-1) if you dont get it, let me know. ill scan and upload my solution.[/quote]

[quote=jhoijhoi]I've had more help with question 3, how about I upload the answers here, and you upload your answer for question 2? Together we can simplify the answers into a memorable format ^^ --------- I = Integrate I t^(x-1)e^(-t) Integrate By Parts I U(dV/dx)dx = UV - I V(dU/dx)dx U = t^(x-1) V = e^(-t) = [-t^(x-1)e^(-t)]inf>0 + I e^(-t)t(x-1)t^(x-2) = [-0^(x-1)e^(-inf)] + I e^(-t)t(x-1)t^(x-2) = (0-0) + I e^(-t)t(x-1)t^(x-2) = (x-1) I t^(x-2)e^(-t) = (x-1) gamma (x-1) [center][IMG]http://i1106.photobucket.com/albums/h380/thejhoijhoi/111111.jpg[/IMG][/center] ---------------- So how do we do part b?[/quote]

[quote=Dante Rebellion]Guava.[/quote]

[quote=Yougan]Math and me... Is like Scrax and Nukes. Both makes us go boom... O_o[/quote]

[quote=jhoijhoi]bump in case anyone else does university level physics lol ^^[/quote]

[quote=Jebus McAzn]I'm in high school AP Calculus at the moment but it's always been my strongest subject. 2 seems like doof's process would work - integrate by parts then prove the identity using induction or simple algebraic manipulation. Unless I'm missing something, b is simple once you've derived A. Since GAMMA(X)=(X-1)(GAMMA (X-1)), you can expand this indefinitely to get GAMMA(X)=(X-1)! which thus establishes the relationship between the two functions for integer values of X. The question probably wants you to solve it for all values of X, though, meaning that a more thorough definition of "factorial" is necessary as opposed to X(X-1)(X-2)(X-3)...(3)(2)(1) for integer X. In that case, I'm lost, since I haven't done that much higher-level math.[/quote]