Posted in core 2, graphs, integration.

I was sent this by my friend and colleague TeaKay from Blogstronomy, and I've adapted the puzzle slightly to make the sums a little bit nicer. A curve has the equation $y = (x-2)^2 - n^2$. The area bounded by the co-ordinate axes and the curve in the first quadrant

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Posted in ranting.

A couple of weeks ago, a news story flashed by me on twitter: 49% of the UK have slower-than-average broadband. It was followed more or less immediately by a swathe of snipey comments saying 'isn't that the definition of an average?' To which the smart-arse answer is, no, there is

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Posted in free-for-all friday.

It's that time of the week again! March already! What's been on your mind? What's giving you a headache? As always, drop your questions in the comments box and I'll get back to you as swiftly as I can!

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Posted in hypothesis testing, statistics.

"He's not Judge Judy and executioner!" - Danny Butterman, Hot Fuzz There's a reason statistical experiments are sometimes called trials: they take up a lot of time and are pretty much the epitome of suffering. What's that? Oh, sorry. No, apparently, it's because they're very similar to a court case.

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Posted in algebra, quadratics.

Until about three years ago, I had literally no idea how to factorise nasty quadratics. I would turn straight to the quadratic formula, go bing bang boom and say 'there, job done.' This was a very effective short-cut - I got a long way with my ignorance - but I'm

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Posted in free-for-all friday.

It's that time of the week again! What's been on your mind? What's giving you a headache? As always, drop your questions in the comments box and I'll get back to you as swiftly as I can!

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Posted in quotes.

Science is the belief in the ignorance of experts. - Richard Feynman

Read More →This is a follow-up to Monday's post about the smart way to do the binomial expansion. In this one, we're going to look at how to do C4 binomial expansions - ones with crazy powers like $-3$ or $\frac{3}{2}$. This bit is very important: you should COMPLETELY ignore the formula

Read More →Ah, the binomial expansion. The scourge of my A-level: the sum that was always wider than the paper, and always had one more minus sign than I'd allowed for. A crazy, pointless exercise in arithmetic, if you ask me, only really useful for finding square roots in your head (of

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