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me me!

From what you wrote, I can actually tell that your English Department sucks.

Well, then i suppose i could sue every single asian, then retire.

Your work is very solid, however, I am not an english nerd, but I can suggest the following: Refrain from always using ('In the “xxxxxxxx”, Frost does.....' etc etc ) to start off each interpretation. Also, each of your sentences are a tad too short. I'll rewrite one of your paragraphs for...

Since the thread called Hardest HSC Exam was closed, and I saw the following post by Templar: http://community.boredofstudies.org/2434595/post-18.html I just had to refute that post, sure, it violates Euclidean geometry, but it does have a solution. The question was: Q1. Given a line of...

yes

Hmmm... i played with the theorem a bit, and what i've done is: I took on the assumption that the solutions x,y,z to be integers > 0 Then I proved that the ratio of (x,y,z) to one another are always irrational for n>2 Thus, if the ratios are irrational, then (x,y,z) cannot be integers, and...

Here are some cool questions I've found: 2UNIT HSC EXAM: 6 Hours =================== Q1. Given a line of infinite length (L) and a point (P) outside that line, prove that an infinite number lines parallel to (L) may be drawn passing through (P). Q2. a) Find the solid of revolution when 2x2 -...

How about an entire paper of Ext. 2 Question 8's, with lead up questions removed for the the 2 Unit ppl?

Taylor

and let everyone else steal it? I mean mathematical instituitions.

Fermat's last theorem was proved by Wiles by first prooving the shimura-taniyama conjecture, however, the final proof was more than 150pages, and it was claimed Fermat had a much more elegant ptoof to his theorem, which stated there are no positive integers which satisfy the following condition...

instead of using fn(0), use fn(1) and replace all xn with (x-1)n

whoops, i meant Maclaurin Series Explanation A Maclaurin series is a Taylor series expansion of f(x) about 0, also known as a power series. It is primarly used to approximately integrate transcendal functions such as ex2 f(x) = f(0) + f'(0)x + f''(0)x2 /2! + f'''(0)x3 /3! + f(4)(0)x4 /4! +...

three years old?

fatmuscle was the only one who went

surely you can use the Machurin Series, much more practical and confuses the teacher?

hmmm... it seems to make sense, but isnt 2iPi the imaginary part?

ah... i knew something was up.. just in case anyone cares.. e2iπ = 1 (after taking natural logs of both sides, we have (correctly) ): ln [ e2iπ ] = ln(1)+ i(Arg(1)+2*Pi*k) where k is any integer yep, that solves my problem, thanks

Why not? I mean, Euler's formula can be proved using normal operations: Let z = cosθ + isinθ .'. dz/dθ = -sinθ + icosθ => dz/dθ = i( isinθ + cosθ ) => dz/dθ = i( cosθ + isinθ ) => dz/dθ = iz .'. ∫1/z dz = i∫dθ => ln(z) = iθ .'. z = eiθ If θ = π, then z = -1 ........ (since cos(π) + isin(π)...