OCR (non-MEI) Further Pure 2: 25th June 2018

http://pmt.physicsandmathstutor.com/download/Maths/A-level/FP2/Papers-OCR/Combined%20QP%20-%20FP2%20OCR.pdf

On June 2011 question 8 part 1 the answer substitutes to (x^(1/2))(x-1)^(1/2) + ln(something or other). What I don't understand is how the sinhu becomes the (x-1)^(1/2).

x = cosh^2 u
So x = sinh^2 u + 1 because cosh^2 u - sinh^2 u = 1 so cosh^2 u = sinh^2 u + 1
x-1 = sinh^2 u
sinhu = (x-1)^(1/2)

How would you do part (iii)?

I don't really understand these questions where you have an expression for f''(x) in terms of f'(x) and f(x), and have to find a similar expression for f'''(x)

thanks

Grade boundaries are gonna be high af wtf were ocr thinking lol

Do you reckon higher than last year?

If you would like an unofficial mark scheme I’ll see if I’m feeling up for that later.

Hello all,

I didn’t find the paper too bad, actually. But indeed my worst fears have been confirmed - grade boundaries might soar.

Again, we are a tiny sample so we have no idea how others have done.

I think we did our best and that’s all that matters. On this note, I am done with all my A-Levels (and hopefully many of you are too)!

If you would like an unofficial mark scheme I’ll see if I’m feeling up for that later.

Otherwise, good luck for what’s left (S3 and M4 tomorrow?!), and hope you all have a nice summer.

Can anyone remember what the mystery ? is. I can't quite place it, but I think it might have been a definite integral involving sinh^2(x)

Here's what I remember:
1) Graph - asymptotes; turning point and range using differentiation; sketch
2) Hyperbolic functions - 'show that' using exponential definitions; ?
3) Find dy/dx / turning point; two more derivatives; Maclaurin expansion
4) Reduction formula 'show that'; find I4; bounds question.
5) Integration using tan(x/2) substitution.
6) Newton-Raphson method - sketch for x1 = 0.5 and x1 = 1; derivation of formula; use to find root.
7) Rearrangement iteration - cobweb diagram; something I can't remember but wasn't too difficult; use of iteration to find root.
8) Polar coordinates - show that theta=0 is a line of symmetry; sketch, including tangents; area under curve.

What came after the 'show that' for the hyperbolic functions question (Q2)?

I believe it was a definite integral of sinh^2(3X). I can't remember the limits but I believe I got an answer of 1 in the end.

Can anyone remember what the mystery ? is. I can't quite place it, but I think it might have been a definite integral involving sinh^2(x)

Here's what I remember:
1) Graph - asymptotes; turning point and range using differentiation; sketch
2) Hyperbolic functions - 'show that' using exponential definitions; ?
3) Find dy/dx / turning point; two more derivatives; Maclaurin expansion
4) Reduction formula 'show that'; find I4; bounds question.
5) Integration using tan(x/2) substitution.
6) Newton-Raphson method - sketch for x1 = 0.5 and x1 = 1; derivation of formula; use to find root.
7) Rearrangement iteration - cobweb diagram; something I can't remember but wasn't too difficult; use of iteration to find root.
8) Polar coordinates - show that theta=0 is a line of symmetry; sketch, including tangents; area under curve.

What came after the 'show that' for the hyperbolic functions question (Q2)?

I believe it was a definite integral of sinh^2(3X). I can't remember the limits but I believe I got an answer of 1 in the end.

I believe it was a definite integral of sinh^2(3X). I can't remember the limits but I believe I got an answer of 1 in the end.