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What do you think will be the repercussions/ benefits of a 4 period day as opposed to a 6 period day? My school is changing to 4 period days and I don't agree with it :(

How can I factorise this: x^4 + 2x^2 + 4 :( Answer is (x^2 + root2.x + 2)(x^2 - root2.x + 2)

Except that it was in my 2U exam. Beware OP. And AM/GM in series and sequences in very easy... I don't know why you are making it sound difficult.

Arithmetic mean of two numbers a,b: (a+b)/2 GM: root (ab) Done and finished. Why are you so shy.

I can help with math/science but I need help with english!!

Dangit, didn't see this. Nice work

Try typing http://www.boredofstudies.org instead of shortcutting it

Show me your working out. Your logic is flawed That's correct

This is your series: 0.97 + (0.97)^2 + ... So you want Tn < 0.01

Re: HSC Physics Marathon 2014 ^ Not really a "marathon" question. I thought these marathon threads were for higher level applications of knowledge rather than extended responses

You forgot to sub point P into the dy/dx = 2a/y. How do you expect to get the tangent at P without knowing the gradient there?

Well, two people could agree grind out a study session of say 1 hour of reading Frankenstein or 1 hour of doing homework, math, writing notes, etc. This way they are inclined to stay on task.

^ Wow that is so true lol.

I'll try to rephrase it: Suppose you have two points A(x1, y1), B(x2, y2) on the parabola x^2 = 4ay whose tangents pass through a common point P(x0, y0) outside the parabola. We now want to find the equation for the chord of contact (line AB). Subbing P into the tangents at A and B, shows...

Do you have any ideas?

Someone asked this question before. I believe the consensus was that the question was not related to the parabola. Just do expanded RHS = LHS

Why do you keep asking this? Good luck getting a scholarship with that mindset.

... yeah I basically stated that. So why does it calculate power loss and NOT power? I must be confused by something.

I'm pretty bad with electricity and this whole section is confusing me. Power loss in transmission lines is given by P = I^2 R But isn't this calculating power? Help please!

Perfect answer, thanks :)