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This is the question my teacher gave to our class to base our essay around: A valuable text is one which has enduring relevance over time. Evaluate this statement in relation to A Love Song of J. Alfred Prufrock and 1-2 other poems.

Re: HSC 2016 3U Marathon I confirm that your working is correct and the book's working is incorrect. That took some squinting.

If you can find a way to check your answer, always do it, unless you are in a rush. In my exams, I am always given separate writing paper to write my solutions on. On this paper, I write a numbered list of the solutions. Whenever I have an opportunity to check an answer I do, and if I find it to...

Cheers mate that makes perfect sense, except your middle term of the expansion of (y-mx)^2 is wrong, but it doesn't affect the product of roots.

The condition for y=mx+c to be tangent to the ellipse x^2/a^2+y^2/b2=1 is c^2=a^2m^2+1. Prove the pair of tangents to x^2/25+y^2/16=1 which pass through the point (4,5) are perpendicular.

So I'm considering moving from Sydney to Melbourne to study computer science at University of Melbourne. I'd like to live in a unit apartment close enough to the uni to walk / cycle to work (probably within a 5 km radius). What areas are ideal for living around the University of Melbourne...

\\$When you have something like the $arg(z-a)$, you must remember that $z-a$ represents the vector to $z$ starting at $a$. By remembering this, you are shortcutting a fair bit of maths, but it is a good idea to understand why this is. http://i.imgur.com/RlJKsj2.png \\$Imagine we wanted to...

Re: HSC 2016 3U Marathon Would this suffice? y=\sin^2x $ is a positive definite function which means all troughs of the sine wave are turned into crests when squared, doubling the frequency. Since frequency is unchanged over differentiation, a wave with double frequency such as $\sin2x$...

Re: HSC 2016 MX2 Combinatorics Marathon Haha I'm actually putting this up because I wasn't sure about my answer either. I got 1932 ways, what did you get?

Re: HSC 2016 MX2 Combinatorics Marathon $Find the number of ways to arrange 4 letters selected from the word DIVERSITY.

I'm pretty sure I'm right, but I'll give you my working just so you can check. http://i.imgur.com/jlpR81R.jpg

I believe the answer to this question is 1:2, but the answers say it is 2:1. Could someone tell me what they get as their answer? $PQ meets the line $2x+3y=4$ at C, where P is the point $(2,2)$ and Q is the point $(-1,-2)$. Find the ratio of PC:CQ.$

For the first question: \\$Construct a line through A and M$\\\angle DAB+\angle DCB=180$ (opposite angles in cyclic quadrilateral)$\\\angle DAN=\angle NAB$ and $\angle DCM = \angle MCB$ (given)$\\2\angle NAB+2\angle MCB = 180\\\angle NAB+\angle MCB = 90\\\angle MAB = \angle MCB$ (subtend same...

Re: HSC 2016 MX2 Combinatorics Marathon $Of the 31 students, there is one fixed median score, the 16th student's score. In order to have the same median in the group of 11 students, the 6th student must be the 16th student in the class. That leaves 10 students left to choose, 5 must come from...

Re: HSC 2016 3U Marathon I spent way too long thinking about why I was wrong last night. Would you care to enlighten us?

Re: HSC 2016 3U Marathon My attempt: \\$Combinations in 5-seated table: $\frac{3\times 8\times 7\times 6\times 5}{5}\\$Combinations in 4-seated table: $\frac{4\times 3\times 2\times 1}{4}\\$Total combinations: $\frac{3\times 8\times 7\times 6\times 5}{5}\times \frac{4\times 3\times 2\times...

It's actually 2 marks, three is the total number of marks in that section on that page (confusing I know). Thanks for your feedback!

What does the platinum represent in this shorthand version of a galvanic cell? Ag, Ag^+|I^-,I_2|Pt

There is no marking guidelines for this past paper so I have come to BoS for opinions. Is my response sufficient to gain 2 marks? What is the question looking for? How could I improve it? http://i.imgur.com/95z1u8C.jpg

Here's an alternate way of setting it out, though it is much the same to parad0xica's, realise the denominator, simplify and separate into real and imaginary components. z=2(\cos\theta+i\sin\theta)\\\frac{1}{1-z}=\frac{1}{1-2\cos\theta-2i\sin\theta}\\\\$Multiplying by a fraction of unity to...