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was there a previous q. alpha is probably supposed to be 'a' w is arbitrary complex number introduced. to answer the first part, think rotation of complex number.

You can just comment on the number you see in a particular forum when you report one.

hope they ask for a letter or speech. :)

Re: Boredofstudies Ads two things: - report to moderators - don't reply to them (spambots are easily to spot because they generally have no replies) We are working out more permanent measures as we speak.

Re: HSC 2018 MX2 Marathon next question: using demoivre's theorem or some other complex number theorems, find the exact value of cos 36 degrees. go...

Herowise one of your coefficients is not correct. that is some funky integration going on there: Might be easier to use change of base before integrating. Also maybe leave the exponent as x rather than x+1 before integrating. Less likely to make mistakes that way. I'll do an improper integral...

(Q20a) try reading the question and drawing a diagram. You will have to done 20a first to make the comparison. Graph the region 20a and then sent it whizzing around the correct axis. Repeat by graphing the region in 20b and send it whizzing around the correct axis. Choose your weapon: - slices...

The order of RRYB is unimportant, meaning that I could pick out YBRR for example. Your working does not account for these rearrangements :)

3-6 months. they are deleted around June the year after you graduate.

most schools its just white or something

If you want your creative scrutinized then by all means email dpfourtwo@gmail.com or send me a nice friendly PM. (or remind me that you sent over email via PM). No cost, except my time. :P

ah ok. YOU DON'T, THEY ARE ANSWERS TO DIFFERNT PROBLEMS. The first 2 answers is when you find area, considering it is as a postive quantity. Split the integral and use | . | signs. The second 2 answers is when you evaluate the integral (sometimes called 'area' as well erroneously I suppose)...

Generally you won't have much time to go into sidetrack details, so pick maybe one character or one element and explore that. Maybe it could be a conflict-resolution type of story (there is a problem, that gets fixed by the end of the story, or open ended ending) its really up to you. Cliff...

send it to me over PM, I'll have a look and give you some feedback -dan

so it seems it is a poorly worded question and the diagram is just wrong/typo in question.

Area is a positive value, so split the integral. Using the graph rather than the equation (assuming typo): \begin{align*} \text{Area} &= \left|\displaystyle\int_{1}^{2}(1-\frac{2}{x}\;dx)\right| + \left|\displaystyle\int_{2}^{3}(1-\frac{2}{x}\; dx)\right| \\ &= |[x-2 \ln x]^{2}_{1}| + |[x-2...

Welcome to all the new year elevens! Feel free to introduce yourself and get to know each other on this thread. Please keep it semi "school" related and we all look forward to meeting the new prelim HSC cohort.

Can agree, captain helium is on point with regards to the theory. Water ionization would be an equilibrium reaction 2H_2O \Leftrightarrow H_3O^{+} + OH^{-} Remember that when we talk about donating a proton, it is equivalent to talking about donating a H^{+} ion. The equation would be H_2O...

while lectures may be optional, recommended you go in on Monday if you want to do well anyways.

No that is not the agreed definition of faith. So it worth checking what 'faith' means. There is not one agreed definition on it e.g. Oxford Anglican theologian W. H. Griffith-Thomas (1861–1924), who states that faith is "not blind, but intelligent" and that it "commences with the conviction...