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One of the 4 unit teachers at my school mentioned the UNSW mathematics competition to me today and wondered whether or not i am going to participate in it. How many others generally go in the maths competition and how hard is the actual test... He mentioned that you are allowed to bring in...

Oh well ok...

Hello, i can do this question but im am just curious to if there is another simpiler method. Prove tan-1(1/4) + tan-1(3/5) = pi/4 This is my method, LHS = tan-1[tan[tan-1(1/4) + tan-1(3/5)] = tan-1[tan[{tan-1(1/4)] + tan[tan-1(3/5)}/{1 - tan[tan-1(1/4)tan[tan-1(3/5)}] =tan-1[ {(1/4)...

Wow that question 4 is amazing... combines so much into one question... conics, circle geometry (and normal geo) and polynomials!! Is 4a iv) isosceles.. i cant be bothered now to see if maybe it is equilateral..

Very simply: Let y = tan2x = [tanx]2 dy/dx = 2[tanx]sec2x EDIT: well i see someone beat me... not my fault im a couple seconds slow...

my timetable sucks :'( i have three tests in a row (not on the same day though).. I guess its not so bad.. but theres no resting period at all!!!! first day off, english paper 1, weekend, english paper 2, 3 days off, physics, weekend, maths ext2, sdd, maths ext1, 5 days off, IT, THEN...

Man my school must set easy tests or something.. I got 87% (complex numbers) for my first test and 96% (graphs, complex, poly) for my second test (half yearly)...

Ive never seen that before... where in the syllabus is it?

why would you use exactly the same texts anyway?? especially related texts.. sounds a bit like its both of your faults...

:(

Hmm i was just mucking around and i did this: B(x) = (x -a1) * P(x), where P(x) = (x - a2)....(x - an) B'(x) = (x-a1) * P'(x) + P(x) B'(a1) = P(a1) so R(x) = B(x) [c1/(x-a1) + ... + cn/(x-an] = (x -a1) P(x) [c1/(x-a1) + ... + cn/(x-an) = P(x) [c1 + c2(x-a1)/(x-a2) + ... +...

Im having trouble with questions from terry lee.. makes me feel all crappy when i cant do a few of them... i think all together out of all the exercises ive done.. ive done um 8 exercises and i cant do about 8 questions.... :(

Yeah!!! Thats what i wanted.. hmm i was thinking cuz coroneous had that PN/QN =b/a that you had to use that to derive the y-part of the parametric equation. But now i see! Thanks alot man...

Yes yes... i get all of that. Your statement though, is working backwards.. I get the x-cordinates are the same for both the ellipse and its auxiliary circle. This question is to derive the parametric equation of the ellipse. so we must find PN (the y-value for point Q) oh shit i just...

Yeah i was thinking it was a typo... but i just wasnt sure cuz it doesnt go any further than that, well it says sin@/asin@ = b/a...but i dont get what that means... Um yeah why is PN/QN = b/a though?

Instead of making another thread... id like to ask another question. I didnt really understand terry lees explinations of the deriveration of the parametric equations for both the ellipse and rectangular hyperbola... i swear its like he wants people to come to his tutoring to find out or...

Yeah i like blue too.. but that blues just yuck.

hehe you've asked me that question twice before in two other posts. Its 5th edition the black one. Its old but it seemed to have more questions or something, cuz it had like multiple exercises like A, B, C for the same set of work. Also i swear to god the printing in the new one sucks so much...

Wait nevermind, i saw that in my graph the curve cuts the y-axis at (0,-1) but terry lee's is different.. So i checked it on a graphing program...and i was right!! terry lee is wrong WRONG!!!!!

Ok for this question it states: Sketch showing all major features: (x-2)2/4 - (y+1)2/16 = 1 so please look closely and tell me if i have done it right i say b = 4, a = 2, and hence 16 = 4(e2 - 1) thefore e = root 5 yep so if thats alright then my answers right. but for...