These are my answers to todays FP2 exam. Not all of them are necassarily correct, please feel free to correct me on any you think are wrong. Not sure about the question numbers.
FP2 June 2016
1.
a) (2 marks)
b) (4 Marks?)
2.
a) i) (1 Mark)
ii) (1/2 marks)
b)
c) (3 Marks)
3. a) Show that s is the required integral
b) (5 marks?)
4. a) (2 Marks)
b) (4 Marks)
5. a) (2 Marks)
b)i) Sketch with a circle with centre radius (3 Marks)
ii) (2 Marks)
c) Roots are where (5 Marks)
6.a) Show that Q
b)
7. Induction Q. (6 marks?)
Trivial in the case since clearly
Assume true for
as
Thus true for so true for all positive integers n by induction.
8. a) Show that Q (3/4 Marks?)
b) Roots were where (2 Marks)
c) i) (4 Marks)
ii) (4 marks)
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AQA June 2016 Further Pure 2 Unofficial Mark Scheme
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Would YOU be put off a uni with a high crime rate? First 50 to have their say get a £5 Amazon voucher!  27102016 

jjsnyder
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 24062016 10:53
Last edited by jjsnyder; 24062016 at 13:51.Post rating:2 
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 24062016 11:01
Grade boundary predictions?

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 24062016 11:09
I thought the second last part of the last question you had to use the product of roots of the quartic equation so would equal 2?

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 24062016 11:10
(Original post by Barbecuetime123)
Grade boundary predictions?
so 5961 for A* and about 5356 for an A 
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 24062016 11:12
(Original post by girlruinedme)
I thought the second last part of the last question you had to use the product of roots of the quartic equation so would equal 2? 
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 24062016 11:17
(Original post by jjsnyder)
These are my answers to todays FP2 exam. Not all of them are necassarily correct, please feel free to correct me on any you think are wrong. Not sure about the question numbers.
FP2 June 2016
1.
a) A=4
b) 50/609
2.
a) i) B=12i
ii) ab = 5
b) Gamma is 1/3
c) p=5 q=7
3. a) Show that s is the required integral
b) ln73/4
4. a) (sqrt(3)/2)/(1+3x)sqrt(x)
b) (sqrt3)pi/18
5. Induction Q.
6.a) Show that Q
b) 6sqrt3 + 3arcosh2 + 5
7. a) 8
b)i) Sketch with a circle with centre 4root3 + 4i radius 4
ii) 2pi/3
c) Roots are 2e^i(xpi) where x=7,5,17
8. a) Show that Q
b) Roots were itan(xpi) where x= 1,3,5,7
c) i) 1
ii) 6 
jjsnyder
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 24062016 11:18
(Original post by Barbecuetime123)
That's what I did... It seemed a bit wishy washy as I was doing it though
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 24062016 11:19
(Original post by girlruinedme)
I thought the second last part of the last question you had to use the product of roots of the quartic equation so would equal 2? 
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 24062016 11:20
I got (sqrt3)pi/9 for Q4b
(Original post by jjsnyder)
These are my answers to todays FP2 exam. Not all of them are necassarily correct, please feel free to correct me on any you think are wrong. Not sure about the question numbers.
FP2 June 2016
1.
a) A=4
b) 50/609
2.
a) i) B=12i
ii) ab = 5
b) Gamma is 1/3
c) p=5 q=7
3. a) Show that s is the required integral
b) ln73/4
4. a) (sqrt(3)/2)/(1+3x)sqrt(x)
b) (sqrt3)pi/18
5. Induction Q.
6.a) Show that Q
b) 6sqrt3 + 3arcosh2 + 5
7. a) 8
b)i) Sketch with a circle with centre 4root3 + 4i radius 4
ii) 2pi/3
c) Roots are 2e^i(xpi) where x=7,5,17
8. a) Show that Q
b) Roots were itan(xpi) where x= 1,3,5,7
c) i) 1
ii) 6 
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 10
 24062016 11:22
(Original post by wallpaperpaste)
I got (sqrt3)pi/9 for Q4b 
jjsnyder
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 24062016 11:23
(Original post by wallpaperpaste)
I got (sqrt3)pi/9 for Q4b
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 24062016 11:23
Can anyone explain the proof by induction question?

jjsnyder
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 24062016 11:24
(Original post by wallpaperpaste)
Can anyone explain the proof by induction question?
EDIT: Done it
Posted from TSR MobileLast edited by jjsnyder; 24062016 at 11:27. 
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 24062016 11:27
(Original post by jjsnyder)
Considering it was the product of two squares it has to be positive. You used the product of the roots which for a quartic is the positive of the last coefficient not the negative. And the last coefficient was 1 (you had to remember to divide by 2 as the term in z^4 had coefficient 2).
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 24062016 11:27
(Original post by jjsnyder)
Considering it was the product of two squares it has to be positive. You used the product of the roots which for a quartic is the positive of the last coefficient not the negative. And the last coefficient was 1 (you had to remember to divide by 2 as the term in z^4 had coefficient 2).
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 24062016 11:28
(Original post by Iridocyclytis)
Last coefficient was one and first coefficient was 2, so shouldnt the product of the roots be 1/2 ? Basically I'm wondering why you multiply by 2
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 24062016 11:30
(Original post by jjsnyder)
These are my answers to todays FP2 exam. Not all of them are necassarily correct, please feel free to correct me on any you think are wrong. Not sure about the question numbers.
FP2 June 2016
1.
a) A=4
b) 50/609
2.
a) i) B=12i
ii) ab = 5
b) Gamma is 1/3
c) p=5 q=7
3. a) Show that s is the required integral
b) ln73/4
4. a) (sqrt(3)/2)/(1+3x)sqrt(x)
b) (sqrt3)pi/18
5. Induction Q.
Trivial in the case n=1 since clearly 1+p >= 1+p
Assume true for n=k
(1+p)^k+1 = (1+p)^k(1+p) = (1+kp)(1+p)
= 1 + kp + p + kp^2 >= 1 + (k+1)p as kp^2>=0
Thus true for n=k+1 so true for all positive integers n by induction.
6.a) Show that Q
b) 6sqrt3 + 3arcosh2 + 5
7. a) 8
b)i) Sketch with a circle with centre 4root3 + 4i radius 4
ii) 2pi/3
c) Roots are 2e^i(xpi) where x=7,5,17
8. a) Show that Q
b) Roots were itan(xpi) where x= 1,3,5,7
c) i) 1
ii) 6 
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 24062016 11:32
(Original post by jjsnyder)
I'll put an explanation in the MS now
EDIT: Done it
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 24062016 11:32
(Original post by tanyapotter)
In 7c) aren't the roots 2e^(xpi) where x= 7/18, 5/18 and 17/18?
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 24062016 11:34
(Original post by jjsnyder)
Sorry meant that :P forgot to put a /18 by the X, will change now, thanks!
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what would 61/75 be? A?
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Updated: June 25, 2016
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