I will be grateful if you try to follow my method at some point to see if you can find any errors as it is 4 pages so it is very easy to make mistakes in such a lengthy piece of work
I will be grateful if you try to follow my method at some point to see if you can find any errors as it is 4 pages so it is very easy to make mistakes in such a lengthy piece of work
I did not realise there were meant for me... Clearly you are new here so you had not quoted me (like you just did) so there was no indication you were addressing me.
Anyway, what are these questions all about?
Not that important, I was just wondering about the quality of the questions, like in terms of difficulty and what not.
Not that important, I was just wondering about the quality of the questions, like in terms of difficulty and what not.
Harder than the usual exam standards these days. These are definitely questions you used to get in standard exams 25-30 years ago. They are definitely good for practice
Harder than the usual exam standards these days. These are definitely questions you used to get in standard exams 25-30 years ago. They are definitely good for practice
The later questions in AQA fp papers are kinda like that. Edexcel is just way too easy
Determine the volume produced when the finite region bounded by y = x2 and y = x is revolved by a full turn about the line y = x
In fact after seeing your solutions, I think this one may still be too difficult simply because the method is very unfamiliar - the only reason I would be able to attempt this Q is because you have given me questions on vol of rev ages ago where you work out 1 element then 'sum'. It's not necessarily difficult, just maybe a bit too left field for an A Level student.
In fact after seeing your solutions, I think this one may still be too difficult simply because the method is very unfamiliar - the only reason I would be able to attempt this Q is because you have given me questions on vol of rev ages ago where you work out 1 element then 'sum'. It's not necessarily difficult, just maybe a bit too left field for an A Level student.
the question is too hard not for this but for it is very difficult to derive the "element".
Integrations as summations from first principles are part of M3 and M5 (examined) and examinable in all advanced papers such as AEA or STEP.
In fact after seeing your solutions, I think this one may still be too difficult simply because the method is very unfamiliar - the only reason I would be able to attempt this Q is because you have given me questions on vol of rev ages ago where you work out 1 element then 'sum'. It's not necessarily difficult, just maybe a bit too left field for an A Level student.
The M3 first principles stuff isn't very hard and if the question was limited rotation about either the x or y axis, it would be very easy (the difficulty coming from the resulting integral). What makes it horrible is just the fact that it's about a slant line, and the steps to deriving the formula that TeeEm used being pretty abstract, at least to me.
The M3 first principles stuff isn't very hard and if the question was limited rotation about either the x or y axis, it would be very easy (the difficulty coming from the resulting integral). What makes it horrible is just the fact that it's about a slant line, and the steps to deriving the formula that TeeEm used being pretty abstract, at least to me.
what about if I said to you rotate y = sinx 0 to pi about the y axis to find volume? Have you seen that?
what about if I said to you rotate y = sinx 0 to pi about the y axis to find volume? Have you seen that?
It's not in the Edexcel spec, but I think that I can remember the formula (opposite of x axis). Integrating arcsin^2(y) might be a bit difficult, can't really remember too much from FP3.