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Ahh, genius. Thank you very much Ngai, you have put my mind at ease. I'll have to remember that kind of manipulation for the future.

√( x² + (y - 4)²) = 2(y - 1) x² + (y - 4)² = 4(y - 1)² x² + y² - 8y +16 = 4y² - 8y +4 x² - 3y² +16 = 4 3y² - x² = 12 y²/4 -...

Thanks for taking a crack at it will. I just about got as far as you did but I wasn't nearly so optimistic. This question itself is only out of 2 or 3 marks so I'm doubtful about it being as epic as that. My three main problems are: -Techniques I've tried (namely int. by parts) are long...

Answers are cheap (but impressive :D)... Anyone know how to connect the dots?

I was doing a past 3/4 yearly paper from my school (2003) and the last question really stumped me. Basically it was: Evaluate ∫ ln(1 +tanx) dx {between 0 and π/4} (*note) in the part just before that you had to show that: ∫ ln(1 +tanx) dx {between 0 and π/4} = &int...

You could try a library.

If it is a rhombus you can work with symmetry and isoc. Δ's.

It's not to late to organise schoolies. Me and a bunch of my mates hadn't done anything for it until a couple weeks ago. We scored a beach front property, $440 (roughly) each and 300 meters from the town centre. If we can do that well with our poor organisation so can you.

Here you can use the area of the triangle = 1/2absinθ or just half base times height since it is a right angled triangle. We have to formulate the area of each triangle in terms of the hypotenuse (since the hypotenuse falls within the bounds of the circle). Area of triangle = 1/2a.a =...

We have to do quanta to quarks but it's the one I'd most like to do anyway. I'm looking forward to it.

Inverse trig.

What about list B courses though. Generally, are they allowed in arts/medicine?

I'm still waiting on Kirby's yearly motivational speech at our school.

A couple of questions: Is it possible to do more that the required 66 credit points i.e. has anyone tried to push for 84 (for a double major)? If someone is doing a major in a List A course does the combined degree allow them to then study a list B course? (can a person study mathematics...

I'm also quite terrible with my careless mistakes. On our first 4U exam I lost three marks for doing this: θ - ( -θ ) = 0 ... Is it possible to make a more elementary mistake???

btw, where did you get that equation from? I don't actually think you can graph it. Given that -1≤sinx≤1 for all x ∈ R , and -1≤cosy≤1 for all y ∈ R. hmm...

Our clas hasn't quite finished our second topic yet. My chem class is even further behind.

I think that's pretty much it. ∫ 2^x/2 dx convert it to base e to make your life less difficult ----> e^u = 2 log_e2=u hence 2 = e^ln2 ∫ 2^x/2 dx = ∫ (e^ln2)^x/2 dx = ∫ e^(x.ln2)/2 dx...

This is outside the 3U course. In order to do it you want to use implicit differentiation. sinx + cosy = 5 d/dx(sinx + cosy) = 0 cosx - dy/dx.siny = 0 dy/dx.siny = cosx dy/dx = cosx/siny you'll probably want an explanation of implicit differentiation to grasp that fully. I'll...

I've been doing that coroneous revision set of 100 questions. It's a hell of a lot of integration.