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On Sketching, you can simply differentiate, and analyse the gradient of the curve at different values of x. If that isnt enough, you can graph the differentiated function, then integrate "graphically" Eg. So in this case, whenever sine is negative, that is a negative gradient according to...

Re: HSC 2012 Marathon :) Sorry for not posting a question, I was in the process of latexing it. Also, is my way an X2 way? I thought it was 2 unit. (I dont even know anything from X2 math either...yet) EDIT: Are we allowed to post "Harder 2 Unit" questions here, even if they involve no 3...

Re: HSC 2012 Marathon :) let u=x^2+2x, solve from there. Some probably will miss that but yeah. My solutions are x=-3, 1, -1+2^(1/2) , -1 - 2^(1/2)

Turns out that what I thought it was, was not the question, however after punching values into my calculator, here is the actual question (and answer) Unless of course it is a massive coincidence, and in that case, oops.

I THINK I have a solution here. Ill edit it in Here it is, hopefully you will be able to see what I did, and also I dont know how to enter the values for a summation in latex.

Please revive this! I would love more questions to come along, some of them albeit hard are fun to do, and it excercise obscure math techniques.

addition of like terms. (k-1) - 3k = k-1-3k = k-3k-1 = -2k-1

Yeah I saw it heh, Im still a bit klunky with latex.

Ill give you a latex version If you think you should be able to do 4u math, then you need the basics grounded first, no matter how good you are with other questions and advanced things

To draw a primitive, analyse the original curve, this curve's y-values are the primitive's gradients. If the y-value is high positive, then the gradient of the curve of the primitive is also a high positive value. IF the curve for example, approaches a value of 1 at infinity (asymptote), then...

That should be it I think...

Homework is REALLY important for Math, and its nearly as important that you do the homework on the day your teacher gives it out. Because then it stays in your head. Also, if there is any LITTLE thing you dont understand, like anything, you have to ask your teacher, math isnt something you can...

Easiest: Mathematics 2U/3U 9.5/10 Interest: Mathematics 2U/3U 9/10 Workload: Mathematics 2U/3U 8/10 Imagine what happens when I do 4U......

Re: HSC 2012 Marathon :) Here goes first use of latex, Ok here goes second part: Therefore, the statement is true for n=7, If the statement is true for n=k, then it is also true for n=k+1. Therefore the statement is true for all integers, n greater than or equal to 7 There may be a...

In the preliminary version, its called ASTC, (All Sine Tan Cos) Here is a crappy diagram The logic behind ASTC is from trigonometric graphs, when you graph y=sin(x), between 270 and 360 degrees (3pi/2 and 2pi) the curve of y=sinx is below the x-axis, therefore it is negative, and since the...

Thank You all for your responses, also in relation to not rushing, our examiner always puts a crazy question for last. I also know the topic quite well, and am able to do many questions fast and nicely. Its just the last question that is sometimes a barrier to overcome. I do try to know my math...

Now, sometimes when I get my math results back, they arent as high as I know they should be because of stupid mistakes, my last assesment task, 100% of my mistakes were due to silly mistakes, such as forgetting the minus sign, or adding like terms the wrong way for some reason, or even just for...

Assuming that the angle that it makes with the "wall" is the angle of the intersection of the diagonal and the side. I will put up a diagram later, but for now, since it is a rhombus, the diagonal cuts the rhombus into two isosceles triangles. (Two sides are equal [Property of a Rhombus])...

The HSC and Preliminary Biology course have nothing, absolutely nothing to do with humans, unless you count human evolution but...yeah. If Biology was like how it is in different countries, (you know about humans). I would do it, but not when I learn about ants and how rain affects plants. I do...

Yes I am doing Power, but like I said, a lot of texts can be interpreted different ways to cover many AOSs. (Actually I want to do Life, Death and Immortality, but I got Power, oh well) Also Macbeth is not on the HSC list, Im pretty sure Hamlet is though