OCR (non mei) FP2 Monday 27th June 2016

Thanks! My answers are the same except I got a different alpha value, think I just mistyped it into my calculator when typing in all my answers, do you happen to remember the questions? Something -e^x =0?

did something similar to this, but didnt use a/b just said is rational. did I(1) as it was easier

1.23 is right, c was 0.15 +2x but you can solve for x and x=0.1, so C was 0.35

(2x-1)^2-e^x=0

It asked for n>1. You may have lost a mark

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1: +-ln(1.5+0.5sqrt(5))
2. ln2 - pi/4
3. sketch - one of those ones with a circle ish shape intersecting x axis at 90, then nothing between 2 and 5, then another bit. (0,root2) (0, -root2) A, B, C were coordinates.
4. Beta = 3.733, Alpha = 1.6291
5. Maclaurin : 2x - (8/3)x^3
Pi approx 2/3 which rounds to 3
6. Theta = pi/10
(0.951,0.309)
area pi/20
7. ln(infinity) for first part, 2 is upper limit of second part
8. bunch of show thats, messed up reduction.

Think the main thing you had to show was the square root of 2 became normal 2 as k=multiples of 2. Since k is rational the whole thing must be rational. True for n=2. True for 2k, etc.

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did something similar to this, but didnt use a/b just said is rational. did I(1) as it was easier

I believe, n>1 was stated in the question. I think that we had to prove for even n, though not sure about it.

Is the integral from 0 or 1 to infinity. I spent ages trying to figure it out. Can't see how it's from 1 because the rectangle become above the curve

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I agree with all of them.