Recent content by synthetic.

Is it always true that if; f(x) = f '(x), then; -f (x) = - \int f '(x) ? That is, the negative of a derivative has an integral which is simply the negative of the original function? (ignoring arbitiary constants)

Start reading what? It seems the purpose of my post has passed you by. Try again.

"The Greats" - and more. [Edit: I have likely posted this in the wrong forum - any Mods are welcome to move it to a more apt location, apologies] I'm forming a reading list (Undergrad) for myself comprising of modern texts and "classics" by those such as Euclid and Euler. Advice often...

Quite the oversight. Thanks, Tedjin. I shall aptly punish myself.

Solved, thanks Tedjin.

Ohhh. Damn. Yes, sorry, and thanks. I often do that actually, */2 instead of */2a using the quadratic formula. I must stop. Thanks, Hallsofivy.

Homework Statement For the function f(x) = 1/4 (x=2)^2 - 4, I'm confused with regards to finding x & y intercepts. Homework Equations The Attempt at a Solution You can work them out from the function in its current form, i think? For y-int, let x=0, which leaves (0,-3)...

Thanks to you all, much. Where would one be without PF.

I haven't done Maths for some time, and my Algebra needs some work. Homework Statement Two questions in particular; Homework Statement Two questions in particular; a) Rearrange for x in terms of y and t, to its simplest form. t(t-x) = 3y(3y-x) [3y-t =/= 0] b)...

The question as is written : Solve for x 5cosx-2= -0.72 ( 0 \leq x \leq 2\Pi ) (The answer given is "1.31, 4.97".) So, i done what seemed natural. 5cosx-2=-0.72 5cosx = 1.28 cosx = 1.28/5 cosx = 0.256 Firstly, I'm not even sure what unit my answer is supposed to...

Thanks, Tedjin. So, i see that f(f(x)) = f\left(\frac{1-x}{x}\right) = \frac{1-\frac{1-x}{x}}{\frac{1-x}{x}} Multiplying Numerator & Denominator by x would leave \frac{x-(1-x)}{1-x} = \frac{x+x-1}{1-x} = \frac{2x-1}{1-x} Which may not seem to have been the method i was heading towards...

Hello people. This is a problem from an A-Level Math book (though i am independantly learning, have given myself 2 months to cram the whole book down my throat :-S ), so, apparently, it is simple. I understand the principles behind functions, this is more of a problem with understanding complex...