Recent content by FDownes

I've actually just completed my first year of study in Visual Communications at UTS, and even though I really enjoy the course (despite the sleepless nights and stress) and believe I'm well suited for it, I still have doubts. My main question is regarding the reputation of the UTS VisComm...

I have to admit I've never really understood the difference between a cartesian and a parametric equation. From what I can gather, the difference is that a cartesian equation involves both the x and the y coordinates in the same equation (e.g. y = x2) while a parametric equation uses another...

Thanks. For some reason, the working in the book was completely different to the method you used, I still don't quite understand it...

Okay, here's another quetion; Solve the equation cos 2x = sin x for 0 < x < 2pi. I do have a worked solution to this question, but I don't fully understand it, so could you please explain your working in detail?

I know the solution to this particular question, but I'm not too sure of the reasoning behind it. The question asks; Two curves, y = (sqrt3)cosx and y = sinx, are drawn on a graph. The first two intersections to the right of the y-axis are labelled A and B. a) Solve the equation (sqrt3)cosx =...

I realised this a few minutes after posting, but I was busy and couldn't get back to the computer. A stupid mistake to make, but an easy one. Thanks. :)

For some reason, when I enter the following information in to my calculator, I can't seem to get the correct answer. Could someone possibly explain why this is? The question asks; a) Show that there is a root to the equation sin x = x - 1/2 between x = 0.5 and x = 1.8. [This is the part I'm...

Thanks again. :)

Thanks for that. I seem to be stuck on yet another question, however. I'm not sure what I did wrong, but I just can't seem to get the right answer out. It asks; Find the greatest coefficient of (2x - 1)5. It should be fairly simple. The answer is apparently +/-80.

Okay, new question; a) Simplify 8Ck/8Ck - 1. [This part is relatively easy, it simplifies to (9 - k)/k]. b) Hence or otherwise, find the greatest coefficient of the expansion of (1 + x)8. [This part I'm having trouble with...] Can anyone please help me?

Ah, I get it now. Thanks for that. :)

I'm afraid I don't quite follow the lines of working in bold. Where does the (n - 5)! on the right of the fifth line come from? And why does the 4! on the right of the sixth line disappear?

I've got another binomial question that I'm stuck on. It asks; The coefficients of x4 and x5 in the expansion of (3 - x)n are equal in magnitude but opposite in sign. Find the value of n.

Ah, that makes sense. I have no idea why I didn't realise that nC1 = n, and that 1n - 1 = 1. Thanks.

Thanks, guys. :) Got time for another? The expansion of (1 + ax)n is given by 1 - 24x + 252x2 - ... . Find values for a and n.