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The logarithmic and exponential functions are inverses of each other, so e^logx = x.

No, I am not saying that differentiation wont work. I am saying that when you have a restricted domain for your function, you have to check the end points of the domain directly by substitution. The difficulty in this case is that the restriction on the domain is only implied, not overtly...

I think the problem is that there is an implied domain for this function (t>=0), and calculus only works on the interior of an interval, not at the end points. When you are using calculus to solve max/min problems, you always need to check the end points separately. (Sometimes you will have to...

What are post tutorings, Namu?

I hate to burst your bubble, but General maths has lots of weird, useless crap in it that absolutely nobody uses in real life. Median regression lines, for example. Nobody uses them. Not even statisticians. They are just some wild and wacky thing dreamed up to keep school kiddies occupied...

You know this k-method thingy, I was reading a book the other day (A course in pure mathematics by Hardy) which had an analogous thing for circles, ie., you have two intersecting circles, (x-a)^2 + (y-b)^2 = r^2 and (x-c)^2 + (y-d)^2 = R^2, say (obviously there are some conditions on a...

No, he isn't a troll. He has a mild case of Asperger's syndrome - read some of his past posts.

Why don't you ask him to write out a complete worked solution on the board for you, if that's what you want?

I think you should give 2-unit a try for two terms and see how you go. You can always drop down to General if you think it is taking too much time or you're not performing well. General maths has a sort of spiralling curriculum, so it is easy to pick up later if you drop down after a term or...

Iyounamu, You should post this in the maths forum. I think you will find that quite a few of the uni students who drop in to the maths forum from time to time either have been to the NMSS or currently tutor it. (e.g, Templar, Keypad, Affinity, maybe)

If you are thinking of research, you should consider a group of 8 uni.

It got evaluated. Cos60 = 1/2

a^2(b+c)+b^2(c+a)+c^2(a+b) + kabc =(a+b)(ab + c^2) + a^2c + b^2 c + kabc =(a+b)(ab+c^2) + c(a^2 + b^2 + kab) once we get to this point, we see that if k=2, then that last term becomes a perfect square, so (a+b)(ab+c^2) + c(a^2 + b^2 + kab) = (a+b)(ab+c^2) + c(a+b)^2 = (a+b)(ab+c^2 + c(a+b))...

Yep, that's how you differentiate a polynomial. It's beautiful, really. It all comes out of Pascal's triangle.

I don't think that rule actually is a rule. How would you write x + sqrt(2)y - 6 = 0 in general form, if all the coefficients had to be integers? The so-called general form wouldn't be very general then, would it, if there were an infinite number of lines that can't be written that way.

OK, using the identities I mentioned sinA+sinB = 2cos((A-B)/2)sin((A+B)/2), and cosA+cosB = 2cos((A-B)/2)cos(A+B)/2)) then the first question is sin2x+ sin4x + sin6x = 2 cos((4x-2x)/2)sin((2x+4x)/2) +sin6x = 2 cosxsin3x + 2sin3xcos3x =2sin3x(cosx + cos3x) = 2...

You do have to check the given domain of your function, though. It needs to go through at least one complete period to attain all of that range (which the function in your original post does.)

He is talking about using deMoivre's theorem (and Pascal's triangle). Most of these questions can be solved comparatively quickly if you use the identity sinA+sinB = 2cos((A-B)/2)sin((A+B)/2), and related identities. There is a derivation part way down this page...

You do maths at Newcastle, right? Were you thinking of doing their dip ed? I was going to do the B. Maths at Newy about five years ago, but then I moved to Sydney. I didn't want to do the B.Math/ B. Ed double degree there, cause I thought it had w-a-a-a-y too many education units in it. (I...

Yes, well, I was wondering if the dip ed was going to be the subject of the next round of reforms. I haven't heard that the UNSW dip ed is about to be scrapped, but obviously the writing is on the wall. I think it is pretty stupid, actually, to make people go to uni for 5+ years, acquire a 20...