I forgot to add, but you have to justify taking the positive root: to do this you can draw a sketch graph of y=arcsinx and say "as the graph shows, the gradient is positive at all points, so we take the positive root".
There is usually one mark for saying this!
Yeah same, phew!! Yes I got that from the mark scheme! Honestly most of my learning for FP2 has come from the mark schemes 😂
No worries glad you asked this actually because I'd forgotten about that trick, they haven't asked anything like it for a while... might come up tomorrow!
Did FP3 not go too well? I remember people saying the Differential Geometry question was horrible.
Where have you applied for and what for? What grades do you need?
Out of all the exams FP3 went horribly. C3 is a bodge up (so many mistakes) but I've done well enough on C4 to still have a possible chance of an A* D2 was lovely but didn't get to finish 4 part (i). G485 OCR A is borderline A/B and its bothering me + idk my coursework marks either cause my teacher cba... Economics went better than expected
As for making applications, that's an even longer story... I even have a seperate thread for it lol
when doing geometric series how to we know if it sum to infinity or sum of n terms?
It depends on the common ratio, r:
If ∣r∣<1; then you use the sum to infinity. Else, you use the sum to n.
Also, could someone guide me on using powers of eigenvectors with powers of a matrix? For instance, the questions where you're asked to evaluate M3v3? Thanks!
EDIT: I think I got it, in the MEI book it mentions that (MN)T=NTMT
If ∣r∣<1; then you use the sum to infinity. Else, you use the sum to n.
Also, could someone guide me on using powers of eigenvectors with powers of a matrix? For instance, the questions where you're asked to evaluate M3v3? Thanks!
EDIT: I think I got it, in the MEI book it mentions that (MN)T=NTMT
If v is an eigenvector of M then so is kv where k is any constant.