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Hi pro maths person :cool: Teeheee

re: HSC Physics Marathon Archive Not sure what you're looking for. Frictional force, gravitational force, Perp. force, Parallel force ???

re: HSC Physics Marathon Archive Well, by observation I meant sitting down at a restaurant waiting for meal to be served and doing a bit of mental maths ;)

re: HSC Physics Marathon Archive 9.1m & 13.1m? (from observation, on phone Cbb working out)

Dayum dude, you're doing trial papers already? Even before (I assume) your prelim year? (Or you could just be a paper collector)

So I'm doing trial papers atm, and very few have answers and/or marking guidelines What to do? (I did most from THSC, OneDrive and a few other websites)

HSC questions won't be ambiguous and if it is so, it's likely a MC with an obvious answer.

Re: HSC 2015 4U Marathon 9 = pi/20 we want to express in terms of 5x -> so becomes pi/4 16x^5-20x^3+5x-1/sqrt(2) 16x^5-20x^3+5x=1/sqrt(2) LHS=cos5x/sin5x (same thing)=pi/4 =1/sqrt(2) =RHS (since sin(pi/4)=cos(pi/4) at pi/4)

Guys, do not try this at home.

Re: HSC 2015 4U Marathon no brackets, hard to tell which polynomial is where

Re: HSC 2015 4U Marathon -> (cosθ+isinθ)^5: (c=cosθ, s=sinθ. too lazy bro) =(by Binomial expansion/Pascals) c^5+5c^4(is)+10c^3(is)^2+10c^2(is)^3+5c(is)^4+(is)^5 (grouping real and im.) = c^5 -10c^3s^2 +5cs^4 + yeah therefore equating: cos5x=c^5-10c^3(1-c^2)+5c(1-c^2)^2...

Re: HSC 2015 4U Marathon wallah im stoned on chocolates

Re: HSC 2015 4U Marathon so since A.B.Y are the roots of x^3 + 3x^2 - 4x + 5 = 0, then: A,B,Y are values of x -> Rearranging: x^3=-3x^2 +4x -5 so, A^3 + B^3 + Y^3 = -3A^2 +4A -5 - 3B^2 +4B -5 - 3C^2 +4C -5 = -3(A^2+B^2+C^2) +4(A+B+C) -15 ->A^2+B^2+C^2 = (A+B+Y)^2 - 2(AB +BC +AC) = 17...

Correction: "Beasted HSC English"

Re: 2K15 prelim My subjects for prelim: League Maths (Basically didn't take school seriously, hence fking up, :lol: )

Whilst many people wait until they receive their half-yearly examination marks before dropping, that's probably because they didn't mind doing both, just didn't know which one they'd do better in. By the looks of your situation OP, I'd definitely consider dropping Physics ASAP. As already...

When you have time on your hands, you become complacent and procrastinate When you don't have as much time, you're likely to stick to a strict routine and complete the required tasks. GL bro :D

Re: HSC 2015 4U Marathon Let P(x) be a polynomial with degree of 1996. If P(n) = 1/n for n = 1,2,3...1997, Find the value of P(1998) Edit: Not sure if it is technically under the 4U syllabus, so just ignore it :lol: (By all means, try it if you wish)

Re: HSC 2015 4U Marathon (sinθ - icosθ)^-8 = 1/(i(cosθ+isinθ))^8 (then by DeMoivre's theorem) = 1/(cos8θ+isin8θ)

Re: HSC 2015 4U Marathon Find the values that the real numbers a and b can take for z=1 to be a root of the complex equation: iz^2+(ia-1)z+(i-b)=0 (starting easy as i'm not sure if everyone has begun the polynomials topic) Note: Doesn't require '4U polynomial' knowledge :D