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using the information given in the question: A body, initially at room tempreture is 20 degrees so, when t = 0, T = 20 ==> 20 = P + Ae^(0) ==> 20 = P + A....(1) the max tempreture the body could attain is 120 degrees so lim (t --> infinity) T = 20 lim (t --> infinity) P + Ae^-kt = 120 P +...

heres my 2 cents... my post will concentrate more on techniques. i actually studied the Disney film Alice in Wonderland, not the book. Nonetheless, here is what i have found. consider: -caricature: the cartoony faces, their frivolous movements, accents, their colourful costuming exaserbates...

for 2/3 U students, usually in the HSC exam, THEY WILL get you to derive the formula as a part of a question, say as part (i). then of course, later parts, (ii) and/or (iii) would involve you applying that formulae. i think even in the 4U exam they will get you to do this as well. but it is...

there is another way... realise that cos3x = cos(2x+x) = cos2xcosx - sin2xsinx = (2cos^2x - 1)cosx - (2sinxcosx)sinx = 2cos^3x - cosx - 2(1-cos^2x)(cosx) =4cos^3x - 3cosx SO...since cos3x = 4cos^3x - 3cosx THEN ==> cos^3x = 1/4[cos3x +3cosx], which you can integrate.

ummmmm on that fear of computers...its more about the fear of artificial intelligence, how machines, something made of nuts and bolts, can mimic human behaviour --> leads to our looss of humanity, because we dont know if a person is a human...or a machine, judged by their actions and emotions...

u can also talk about the quickness of the scenes that are around the Battle of Actium, and the land battle after that. dramatic irony lends itself to the structuring of the play, where we are privy to, as an audience, to the heart and mind of antony -- so when we do see antony fall, we, as an...

a pleasure :)

mmmmmm if you like, the inner loop is the loop that actually DOES the filling - so if u fill by columns, ur filling ACROSS the array, which mimics filling by rows. the same applies vice versa ==> inner loop, counting by rows will fill DOWN the array. yes, agreed with sunny. try to have a go...

(iii) you should know what the asymptotes of the hyperbola are. from memory, i think they are y = +/- (b/a)x ==> substitute the equation of the tangent into the SEPERATE equations of the asymptotes (ie, sub into y = - (b/a)x AND ALSO y = (b/a)x) to find the two intersecting points, L & M. then...

ummmm yes, they do look very wrong... where is the R's and α's in the expansion? or have u substituted them for a and b?

uve pretty much hammered it. got all the key words and good points down. well done! now, with the social context of BR --> ur right when it says that nothing fits in here, cos we are kinda alien to the notion of 'anti-social'. realise that society is pretty much abandoned. all those who are...

(y2-y1)/(x2-X1) = -[y1-y2]/(-[x1-x2]) = (y1 - y2) / (x1 - x2) makes no difference at all. as long as u know what values to put in, and at the right places, ur set!

that is a brilliant book. unfortunately, i didnt do inner journeys (did imaginative), but i reckon its good for this type of journey. nice to talk about the journey from the peasant in life to the prince on the dancing stage, a remarkable transformation! another novel to consider is "Catcher in...

this is rather old song, but i reckon its a beauty for imaginative journeys: "Drops of Jupiter" by Train. Lyrics are here enjoy!

hmmmmmm i suppose so. i was more talking about 3U and 4U maths, where u do have more methods to play around with. however, one good thing about 2U maths is that it does lend itself to ask questions that involve real situations. e.g. calculating interest, superannuation, time payments, geometry...

okay...u need to find the gradient of the diagonals of the quadrilaterial ur talking about. unlike what vafa posted, there is no need finding the actual equation of the diagonals. just the gradients of those diagonals is sufficient. ( IE m = (y1 - y2) / (x1 - x2) ) once u have m1 and m2 (the...

m = mass of substance heated or cooled rH = change in enthalpy C = heat capacity, usually of water rt = change in temperature (final T- inital T) when u said "then find molecular weight no of moles and then divide the answer of rH = -mcrt by the no of moles?" this involves the molar heat of...

same thing here at my old school, except other criteria apply as well, and even these qualities has a priority standing. e.g. if u got a promotion in corps, ur more likely to be a prefect. same if u did yr 10 monitorship. other criteria includes teacher recommendations, sporting...

quite ironically, you will have to release urself from absences and laziness if u want to attain such a goal...then i guess people wouldnt be so cut if they realised how much work u put in for this task...but then again, time will tell. only female eh? now that IS interesting...speakes volumes ;)

Q11 2001 => answer is D, 1000 this is because the algorithm will identify it as a 'small parcel' rather than a large parcel (which it should be). test it out yourself. extra: the way to fix it is to change the "OR" of the 6th line to an "AND" Q19 2002 ==> answer is C, inner loop count by...