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lol I skipped the next part cause I wanted to do the binomial...and had 5 minutes left (got up to 7)b)iii) -.- ). I'll solve it now but.

V=\frac{\pi }{3}(h^3-l^3)\newline dV=\frac{\pi }{3}(-3l^2)dl\newline \frac{dV}{dl}\cdot \frac{dl}{dt} = -10\pi l^2\newline l=2\newline \frac{dV}{dt}=-40\pi someone confirm that just in case.

Re: Wow, fuck that if they don't give carry answers I'm fucked for both 3U and 4U. So I am hoping they do as well (I assume so...anyone know any senior markers?)

Re: Wow, fuck that in physics, if you show the substitution, then yes. So for this...most likely?

Re: Wow, fuck that -40pi?

Re: Wow, fuck that Pretty hard exam, really needed an extra 10 or so minutes and I would've finished... made some really stupid mistakes (as always), such as getting the value of B as n :S (gonna see how the fuck I did that). Will probably get in the 70's/84...sigh. Just realised I fucked up a...

I used vdv/dx, so without using that (not sure if its in 3U course) \frac{dt}{dv}=\frac{-20}{v^3}\newline t = \frac{10}{v^2}+C\newline t = 0, v= 10,c = -0.1\newline v^2 = \frac{100}{10t+1}\newline \frac{dx}{dt}=\frac{10}{\sqrt{10t+1}}\newline u = 10t+1\newline du=10dt\newline x = \int...

I got 12 :S \frac{vdv}{dx}=-0.05v^3\newline \frac{-20dv}{v^2}=dx\newline x = \frac{20}{v}+C\newline v=10, x = 0, C=-2 \frac{20}{v}-2 = x\newline \frac{dx}{dt}=\frac{20}{x+2}\newline \frac{20dt}{dx}=x+2\newline 20t=0.5x^2+2x+C\newline x=0,t=0,C=0\newline 20t=0.5(20)^2+40\newline t = 12

^ 10ln10 (sub in x=1) Using the binomial theorem prove: C_k^{n+1} = C_k^n+C_{k-1}^n

lol, pretty much exactly the same here.

I enjoyed the 2010 paper...got 104-107 or something. This year though...good lord, doubt I will get an E4 :(

Yeah, this.

Shit, lol. Mine's close to 130 (most Ext2 students with 16 people (lol)) and most found it fairly difficult. 2-4 probably in the 100's. I'm jelly of those people that did well -.- .

I hope it's lower lol. I have potential of scraping an E4 if it is. Hypercomplexxx, about what rank is your school out of interest?

I did ii) with partials...doesn't take as long as you would expect.

Re: paper This is the reflection property. I think I might go kill myself now, I have learned that somewhere -.- .

This. Probably going to get about 80-90/120 -.- .

Re: It Based on the description they gave you, it should be realtime. One of them was a completely usless answer that had no relevance to anything; batch is, as rick said; the multi-user basically refers to multi-tasking. Real-time seemed to fit the best (Though I don't have the paper on me so...

Hmm okay. Personally I don't see why it can't be used...but I guess that's the marker's decision. Not mine.

as for 1\leq x\leq e then 0\leq 1-ln(x)\leq 1. So as any irrational (< 1)^n is even smaller, then as \lim_{n\to\infty}I_n = 0. Apply that to my solution as relevant and it should be good (too lazy to do it again). Yeah the above will need alot more work to suit a proper solution...just a...