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Edexcel C4 June 2016 Unofficial Mark Scheme

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Question 1 - Binomial Expansion
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1/8 - (15/16)x + (75/16)x^2 - (625/32)x^3
Question 2 - Trapezium Rule, Integration
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a) y = 0.6595

b) Area = 1.083

c) Area = (8/3)ln2 - 7/9
Question 3 - Differentiation
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a) dy/dx = (-4xy - 2)/(2x^2 + 4 + pi*sin(pi*y))

b) (3pi + 62)/(pi + 22)
Question 4 - Differentiation - time for decay
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a) 0.4(ln 60 - ln x)

b) 633 to nearest minute
Question 5 - Differentiation, Parametric Equations
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a) dy/dx = (-5*sqrt(3))/16

b) (4, 5*sqrt(3)) - where dy/dx = 0
Question 6 - Integration
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a) 3ln(3y + 2) - 2ln(y) + C

b) Lambda = 8

c) 4pi/3 - sqrt(3)
Question 7 - Integration
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a) 0.2(2x-1)^(5/2) + C

b) k = 8.5

c) 1696pi / 5
Question 8 - Vectors
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a) (3, 5, 0)

b) 2sqrt(2)

c) cos(theta) = 0.8

d) area = 12/5 = 2.4

e) E was at:

(-1, 6.6, 3.2)
or
(3, 3.4, 0.8)
Unsure on 3 and 6; I would say standard boundaries. I might do working for questions if someone can post them but I still have 3 exams left so I can't guarantee it
2. (Original post by k.russell)
I think the binomial is wrong no? (last term)
3 x 4 x -5 x (5/2) ^ 3 x 1/6 = -625/4
Yes, and the whole binomial was multiplied by 1/8, giving -625/32
3. 4 you needed x in terms of t and 6a was 3ln(3y+2) - 2 ln y +c . But the rest i think is corect
4. what was the question for 8a?
5. (Original post by veldt127)
Yes, and the whole binomial was multiplied by 1/8, giving -625/32
oh yeah lol, think I did do that anyway actually
6. (Original post by ninjass)
4 you needed x in terms of t and 6a was 3ln(3y+2) - 2 ln y +c . But the rest i think is corect
6 was a typo, thanks for spotting that.

It was t in terms of x I believe - hence why you found t when x=20 at the end

Not sure on that one
7. How did you do the last part to q8
8. What about Q6c? I got 4pi/3 - sqrt(3)/2
9. how many marks was question 4?
10. For question 5, I ended up with two values for t, being pi/3 and pi/6, depending on whether you used y or x to find t.

I found dy/dx using both values of t, so found two different values of dy/dx.

Anyone else have this problem?
11. Do you lose a mark for not saying +c
12. (Original post by BellaKa)
What about Q6c? I got 4pi/3 - sqrt(3)/2
I think the question goes something like this:

13. Does anyone remember question 5?
14. (Original post by saira.p)
Does anyone remember question 5?

Work out at

Then it asked to find point Q where

Edit: Oh and
15. (Original post by MagneticFlux)
I think the question goes something like this:

sin squared x is equal 1/2 - 1/2 cos 2x
16. (Original post by m9698)
sin squared x is equal 1/2 - 1/2 cos 2x
They took (1/2) out as a factor. 8/2 = 4.
17. Yeah, i got two different values for question 5 too! I subbed both into the equation and one gave a minus number I think, so I used the other, idk?
18. (Original post by ombtom)
They took (1/2) out as a factor. 8/2 = 4.
Apologies
19. (Original post by m9698)
Apologies
I made a silly mistake in the question before where i put Dx by Dtheta as 6sinthetacostheta , would i get 3/5 marks considering everything else was correct ?
20. (Original post by MagneticFlux)
I think the question goes something like this:

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Updated: June 25, 2016
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