AIBU to ask if anyone can solve this Maths question?

[Hydrangea444]

DD is doing Further Maths A-Level and is stuck on this question.

THE LIMIT DOES NOT EXIST!

She has now come back with this - hope it is useful

@LovelyJubbly1234 oh my goodness, who are you 😂

While @LovelyJubbly1234 has done all the hard work (which I couldn't remember!), I don't think the answer to part b is correct:

arcsin(1) = pi/2; arcsin(-1) = -pi/2, so the difference is pi, so the area under the curve is pi/k.

I've plotted the curve (well, google has!) and the area under it definitely isn't zero.

Of course I don’t.

I see the previous posters solution. Surely a more sensible substitution is u = 2x^2-3x+1 then you notice that du/dx = 4x-3 and therefore you can replace the part at the front with du/dx to get du/dx ( root (8u) ) + arcsin(u) and off you go?

Yes answer is pi/16sqrt(2).

I’m not suggesting you ask her maths teacher on a Saturday night! You implied that the exam isn’t as soon as Monday, because you said the exams were up and coming, and you said she would ask her teacher on Monday if she hadn’t got the answer before. So all I was suggesting was cutting out the faff and asking the teacher on Monday. It’s not that ridiculous a suggestion is it? I don’t see what the rush is.

@Familyfallout
Thank you so much! That's brilliant 😀

Gulp.. my dd likes maths. Shes doing further maths for GCSE and casually said last night she might do further maths as a 5th A level for "fun"

I have absolutely no idea what this question means let alone how to answer this. I will show it to DD in the morning and see what she says ( if anything)

Perhaps, but very kind of the poster to check with her son, wasn’t it?

pi / (2 ^ (9 / 2 ) )

Apparently

I’ve only managed (b) so far - the algebra is catching me out. I’ve used product and chain rules, too.

I agree with LovelyJubbly1234 right to the last line in (b) - except

I think arcsin(1) - arcsin(-1) is pi, so the answer should be pi/k

(I’m unsure about the domain, which is why my answer looks different. But if there’s a single solution, yes it is pi/k

Me too

I didn't even realize stuff like this existed
I wish I could help but I'm afraid I wouldn't know where to start.

Well this thread has made me feel utterly thick 🤣 I can't believe my maths teacher begged me to do A Level 🙈 and I'm glad I didn't!

Hi my DP is a maths teacher, he teaches further maths and pure maths at A level.

hope it helps :)

Please please encourage your daughter todo as far as she can and then write something on question on why she is then stuck. Then submit to her TEACHER and ask for help.
I went through A level maths asking others when I got stuck. Ended up with a “u” grade. (This was80’s).
I then took a year out. Has a private tutor. No mates to ask as they’d all gone off to uni. So I had no choice than get as far as I could, get stuck. And ask my private tutor. She told me to do this…and within weeks had got inside my head and started to teach me how to get over my obstacles.
best lesson I ever learnt

1. I resat with an A grade ( yep U to A)


2. I learnt that if I didn’t understand something or couldn’t do something I needed to work with my teacher or tutor. Never missed a tutorial at uni. Not my mates or course participants


3. It gave me a massive confidence boast in my ability to overcome difficulties

please please, do her the biggest favour and encourage her to use her teacher to specifically request help on the places she is stuck.

I haven't got a clue but I love this thread!

I feel like a Y7 gazing at the Y13s in admiration

@lemmein Damn it you beat me to it.

I never really knew why someone would be a class clown but I feel a strong sense of inferiority right now that makes me want to say, “Hey you guys! I can burp the alphabet!”