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lol the second part is from the first math 1901 assignment...but i made it easier so it is doable for hsc kids

as i did with christmas i will do the same for new yrs..lets begin this yr by tackling lots of maths and lets all wish for great maths success for hsc and uni students

Yeh...the lectures were shocking...john was terrible...i didnt go to like any lectures for any maths....couldnt be bothered getting up so early....but i still liked stats, was super easy....yeh i saw the contour integrals...i think it was something to do with green or stoke's theorem, cant...

so you aren't doing any stats?? im doing all those except non linear and number theory, and both stats instead...what do you plan to major in? and yeh we can meet up some time...im currently revising all linear algebra and i cant wait to start doing double and triple integrals :P

yeh i know you need a HD average...my average was 94...so i know ill be allowed to do it, but with work ill be really busy...which courses you doing next yr? i am doing adv linaer algebra and vector calculus, adv complex analysis, adv discrete maths and graph theory and adv probability and stat...

Let arg z = x /_ z(zw)O = x (alternate segment theorem) /_ wO(zw) = x (w is rotated x degrees to zw) /_ O(w)(z) = 2x (exterior angle in triangle equals sum of opp int angles) /_ (w)(z)(z+w) = 2x (alternate angles are equal, opp sides of parallelogram are parallel) /_ (zw)O(z+w) = 2x (...

start with argz = x and see if you can complete each reason....and also it is easy to prove w lies on y axis as the x axis is a tangent and it can be proven that w is the centre of the original circle.

yeh that is silly..but the question only took me 10 secs to do so i dont think it is bed time just yet..yet again i did make the question :P

the tute sheets are still up...so i will probs take them and tweak them a bit...o always planned to use some of them

carrotsticks...do you remember the riemann sums question from this years adv integral calc test(MATH1903)....i think that would be a great question for these guys

well here is another complex number/circle geo question i wrote...dw this one makes no silly assumptions

i saw it...dont worry...well the question only works because i said they are cyclic...even though they may not be cyclic since the question told you to assume they are you use that fact to prove it

where did you get angle DBC = pi/8 ...btw your approach to this question is not the best...the question said "if they are cyclic..." meaning you use circle geo to do it

hmm..well since the question said "if they are cyclic" it works out to be 90...if you think otherwise show me your working

refer to my previous diagram

yep that is right

lol i used paint...i am quite the paint artist...

Spiral did your diagram look like this?

Did you join the line between z3 and z1+z2 ?

i see what you mean..but this question is only designed to test the critical thinking skills of my students