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1. (Original post by IceKidd)
for no.2 obviously thats in another paper. for number 3 you havent done yet,

for number 4 i agree with ur parts i,ii,iii. on the last part i agree wit ur coord wer the max value occurs and that its 1. but u also need to find the minimum value which i got to be (1/sqrt2) at ({+or-}0.5,{+or-}0.5)

numberr 5 i dont get -.-
Hey, can you please check with my answers as well? They'll be in a post a page or two back, I think.

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2. (Original post by souktik)
Err, can you please remind me what the question was?

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here u go

ur probably right btw
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3. (Original post by yl95)
IceKidd, are you an international applicant?

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Naa right here from West LonDoN. wbu;?
4. (Original post by IceKidd)
here u go

ur probably right btw
It's not (d) because then (ii) is also true contradicting there only being two true statements.
5. (Original post by souktik)
Does anyone else feel that the "-" between c and 1/c in the first line of problem 3 actually be a "+"?

Anyway, here are some of the answers - I'm not writing any solutions or proofs here - that I got:
Spoiler:
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2.(i) A=2b-a2; B=b2
2.(ii) Either use b=4, a=2.root(7) or b=-4, a=2.root(3)

3.(iii) 32/9

4.(iii) The four equations are x+y=1, -x+y=1, -x-y=1, x-y=1 in the 1st, 2nd, 3rd and 4th quadrants.
4.(iv) Maximum is 1, attained at (1,0), (-1,0), (0,1), (0,-1) and minimum is 1/root(2), attained at (0.5,0.5), (-0.5,0.5), (-0.5,-0.5), (0.5,-0.5).

5.(i) (a) 90; (b) 0; (c) 22680
5.(ii) (a) YES; (b) NO; (c) YES; (d) NO
5.(iii) (a) NO; (b) YES; (c) NO; (d) YES
we already discussed number 1. you got 10 and i 9

number 2 yep.

number 3 obv weve both done part i. i agree with ur part iii. (min val of c+1/c was 2) so it foloows from there. part ii i actually didnt get to come out. AND IT WAS A LONG ALGEBRA SLOG. so was part i tbh, did u get ii to come out? u cud be right in that c-1/c should be a plus since it part ii it is so. does that give u the right nswer for part ii then?

i agree with ur number 4.

now number 5 i am finding really hard to think about. could u perhaps explain to me how u got 5.i.a) and then hopefully i can work thru the rest
6. (Original post by Noble.)
It's not (d) because then (ii) is also true contradicting there only being two true statements.
oh igu so then it is c as it isnt a or b.

cheers
7. (Original post by IceKidd)
here u go

ur probably right btw
Okay, here goes, do tell me if I'm not making much sense-
1. If (iii) is true, BOTH (ii) and (iv) automatically become true. But we know that EXACTLY two statements are true, so (iii) is certainly false.
2. The right pair must be some combination of (i), (ii) and (iv), in that case. But (ii) & (iv) isn't the pair, as we've been told. So that leaves us with (i) & (ii) and (i) & (iv).
3. Note that if (i) is true, (ii) is certainly false.
4. Therefore we can conclude that (i) & (iv) is the right pair, and the correct option is (c).

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8. (Original post by IceKidd)
Naa right here from West LonDoN. wbu;?
Wagwan bruv

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9. (Original post by yl95)
Wagwan bruv

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lol wag1 g . and wer u at
10. (Original post by IceKidd)
lol wag1 g . and wer u at
Sarf ldn represent braaap

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11. (Original post by yl95)
Sarf ldn represent braaap

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dafuk is that. u from england mate?
12. (Original post by IceKidd)
oh igu so then it is c as it isnt a or b.

cheers
What on earth does "igu" mean?
13. (Original post by Noble.)
What on earth does "igu" mean?
i
get
you

14. (Original post by IceKidd)
dafuk is that. u from england mate?
U not in touch wiv da jargon m8, innit

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15. (Original post by IceKidd)
i
get
you

Oh dear. Shouldn't that be "igy"?
16. (Original post by IceKidd)
we already discussed number 1. you got 10 and i 9

number 2 yep.

number 3 obv weve both done part i. i agree with ur part iii. (min val of c+1/c was 2) so it foloows from there. part ii i actually didnt get to come out. AND IT WAS A LONG ALGEBRA SLOG. so was part i tbh, did u get ii to come out? u cud be right in that c-1/c should be a plus since it part ii it is so. does that give u the right nswer for part ii then?

i agree with ur number 4.

now number 5 i am finding really hard to think about. could u perhaps explain to me how u got 5.i.a) and then hopefully i can work thru the rest
I'll explain 5.i.a when I come online properly, okay? I'm on my phone right now. As for 3, it was tedious and I wasn't sure if I had to work with a + or a - so I left part ii midway. It was really boring.

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17. Okay, can you guys please use text language a bit sparingly? My eyes are in pain.
(I know, it's probably a little funny coming from the foreigner. )

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18. (Original post by Noble.)
Oh dear. Shouldn't that be "igy"?
its interchangeable

u should hav used ur mathematical skills of logical decuction to decipher it
19. (Original post by yl95)
U not in touch wiv da jargon m8, innit

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not ****ty sarf lndn holla
20. (Original post by souktik)
Okay, can you guys please use text language a bit sparingly? My eyes are in pain.
(I know, it's probably a little funny coming from the foreigner. )

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alrite m8

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