ATAR Notes: Forum

VCE Stuff => VCE University of Melbourne Extension Program => VCE University Enhancement Programs => VCE Subjects + Help => VCE Mathematics => Topic started by: rife168 on November 23, 2012, 06:46:30 pm

Title: Anybody else on here do UMEP maths exam 1 today? What did you think?
Post by: rife168 on November 23, 2012, 06:46:30 pm: I thought it was quite tricky, I managed to do all of the questions except for the one asking you to find the minimum distance from the origin to xyz²=2 one..

Overall, it seemed on par with, if not a bit more difficult than, the past few years even though there were only 3 pages of questions.
Title: Re: Anybody else on here do UMEP maths exam 1 today? What did you think?
Post by: roakley on November 24, 2012, 11:14:24 am: I found it tricky as well. I couldn't get the third part of the complex question (expressing in terms of sin(something + something) and for the last part of the last question I sort of stumbled my way through it.
For the one you couldn't get, you had to express z in terms of x and y, then create a distance function, then find the minimum of that function.
Title: Re: Anybody else on here do UMEP maths exam 1 today? What did you think?
Post by: gossamer on November 24, 2012, 11:20:27 am: Yeah, there were bits that were challenging, but also some straightforward questions. I didn't get the question which roakley mentioned, and got halfway through the one you had trouble with, rife168.

Anyway, how are we all feeling about Monday?
Title: Re: Anybody else on here do UMEP maths exam 1 today? What did you think?
Post by: rife168 on November 24, 2012, 08:18:13 pm: Yeah I got some really ugly polynomial fraction all under a square root that I thought I would have to differentiate so I wrote that down and then thought I would skip it and come back to it later but I didn't have time :(

@gossamer:
Yeah that complex numbers question was tricky, I thought I got it but when I was talking to a friend afterwards I think I realised that I made a mistake in the last step...
I think I ended up with something like $2(e^{a+bi}-e^{-(a+bi)})$ which I simplified to $2\sin{(a+bi)}$

But it should've been $2\sin{(b-ai)}$ because you have to multiply it by $i$ to get $a+bi$
Doh!

I hope the 2nd paper is accessible with nothing too crazy like a 10x10 matrix or something...
I really need to brush up on change of bases :S