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The root of that polynomial is approximately 2.214014591. The reason that 2.3 gives a closer estimate than 2.1 is that it lies closer to the value of the root. It is not because it lies above the x-axis.

Why don't you get a decent CAS and actually have a look at your *example*?

Phouna, I graduated from your course 2 years ago. The rules have changed slightly since then, but not that much. You don't have to do follow the absolute letter of the enrollment guide concerning the timing of your courses. You do have to make sure that you do all the compulsory courses...

You may want to consider spending an extra semester (or two) at uni catching up on all the high school maths that you have missed out on. I know that UNSW has courses that let you do this (MSP, followed by MATH1011, then the usual first year maths courses). I don't know about the other unis...

Obviously it isn't prime. (Think: difference of two squares.) 2n -1 can be prime only if n itself is a prime, and even then primality is not guaranteed.

In this case, it doesn't matter because the graph is continuous. Just make sure that where ever you put it, the function is well defined (i.e., doesn't have 2 y-values specified for one x-value).

There is no way you can add a whole bunch of positive terms together and get zero. Hence, if 1 + x0/1! + x02/2! + .... + x0n-1/(n-1)! = 0, then x0<0. En''(x)= 1 + x/1! + x2/2! + .... + xn-2/(n-2)! =En'(x)- xn-1/(n-1)! So, E''(x0) = En'(x0)- x0n-1/(n-1)! = - x0n-1/(n-1)!, which is...

I think the idea is that if you have done MATH1011, you won't need the summer bridging course. If you still want to do this the long way, why don't you consider doing: (1) Mathematical Skills Program (MSP) in S1 2010; (2) MATH1011 in S2 2010; and then (3) MATH1311 in S1 2010. That...

Most other states in Australia have no equivalent of MX2.

There is: UNSW Handbook Program - Languages - 3417 But you have to be enrolled in a course that does not already offer a major sequence in the language that you want to study. So it would seem that what the OP wants is not possible.

Why do arts to get into vet science? Why not do science?

You have some OCD-thing about clean toilets? If you only live 10 minutes away, that shouldn't matter - just grow a strong bladder.

The thing to note is that 12 is bigger than either 5 or 7. Thus 12^(k+1)=12.12^k >=12.5^k+12.7^k (by the inductive hypothesis) > 5.5^k + 7.7^k = 5^(k+1)+7^(k+1) as required.

Well, you don't have to do everything in your undergraduate degree. I think rather than having three rather small majors that have little synergy between them it would be better to pick only one or two things to major in and get a more substantial amount of work in those areas in your degree...

Yeah. If you wanted to do anything involving maths in professional capacity (other than teaching high school), it just isn't enough. The language options may be OK with only 36 UOC if you already had some background in the language and weren't starting as a raw beginner.

36 UOC is hardly enough for a major in any of those areas. In maths that would only get you through the prescribed 2nd year courses - not enough of a foundation to do anything useful.

I very much doubt that you can do this.

But what does one do with a degree in linguistics? Btw, when are you due to finish honours? Next year?

To do well at locus questions mostly you need to know all your coordinate geometry formulas. Some basic plane geometry probably helps, too (circle geo, properties of quadrilaterals, stuff like that).

Don't be surprised if you never see conics again in your entire university career. Complex numbers would probably be a good place to start - although they will go over the 4u complex numbers (and more) in the first few weeks of uni. Going over the extra integration in 4u would probably...