Yeah, we’re busy, but this one has been bugging us. It is an exercise and solution from Cambridge Specialist Mathematics 3&4. It’s basically a PoSWW, or we could simply let it pass as a textbook glitch. But we think there’s more than the obvious to say.
Same as last time, and last last time. This pile is mostly graduate texts, with quite a few classics, but there are also some excellent undergraduate texts, and some oddballs.
Please comment below or email me if you have any interest in any of the books or if you have any questions. Quickly. I’m happy to consider meeting up here or there in Melbourne, but I definitely won’t be mailing any books this time. I’m tired of people not saying thanks.
This one is old, which is not in keeping with the spirit of our PoSWWs and WitCHes. And, we’ve already written on it and talked about it. But, as the GOAT PoSWW, it really deserves its own post. It is an exercise from the textbook Heinemann Maths Zone 9 (2011), which does not appear to still exist. (And yes, the accompanying photo appeared alongside the question in the text book.)
Subsection 13.2.5, below, is on “differentiability”. The earlier part of chapter 13 gives a potted, and not error-free, introduction to limits and continuity, and Chapter 12 covers the “first principles” (limit) computation of polynomial derivatives. We’ve included the relevant “worked example”, and the relevant exercises and answers.
The following is just a dumb exercise, and so is probably more of a PoSWW. It seems so lemmingly stupid, however, that it comes around full cycle to be a WitCH. It is an exercise from Maths Quest Mathematical Methods 11. The exercise appears in a pre-calculus, CAS-permitted chapter, Cubic Polynomials. The suggested answers are (a) , and (b) 81/32 km.