Higher level maths.... quite a nasty paper one...

Fuascailt

Adventure wrote: »

not too bad.

anyone get else 1/1+x^2
for part(c) inverse sin calculus q???

Yup. that was handy

Calorimeterman

and whats the deal with the foldy out paper? That really annoyed me at the start- Q1,2,7,8!!!

They don't normally do that, no??

tabouli

Parsley wrote: »

For the values of c, i got -20 up to +7. Aforementioned nerd got that too.

Yay, got that too! *high 5*Got 16/3 for the integration part c though

Q2 - Didn't really know what was going on for Q2 c, I tried to do an inequality job, not sure if it worked though.

Q1&3 - Boring, but ok.

Q4 - For the last part, does anyone know what were you supposed to do for the 2^r?

Q5 - Bleh, looked hard, did half of it and then gave up.

Q6 - Appears to have gone ok.

Q7 - Fine

Q8 - I don't think I got the c part out but it doesn't matter cos it was my extra question.

Overall I thought it was nice enough.

Yuugib

aww for qs 8 c i got 11.167 (11/1/6)
damn it

Caoimhe89

Calorimeterman wrote: »

and whats the deal with the foldy out paper? That really annoyed me at the start- Q1,2,7,8!!!

They don't normally do that, no??

Oooh yeah. That confused me! I felt like putting up my hand and going 'where's the rest of my paper'. Luckily I realised it folded out before that...

~Candy~

Cokehead Mother wrote: »

Chain rule. You diff -x to get -1 and multiply it by e^-x.

thank you so much !!! - e^-x is it same as e^x ..(sorry now )

mahamageehad

if you have answers handy, can you tell me if mine look some form of ok...bearing in mind that im depending on attempt marks..!!
Thanks!!
Q1a- 6 over (x+2)(x-2)
Q2a- a=5 b=7
Q2bi- 51
Q2bii- -364
Q3a- -(7 2)
(5 0)
Q3bi- 1-i
Q3bii- 8
Q5a- 2rootx
Q6ci b= -12
Q7a- 2x+2cos2x
Q7bi- -10x-6y
6x+10y
Q8a- 2xsquared over2 + sin3x over 3 + c

peteballagh

it was so-so

Q1 was easy - full marks

Q2 - a and b were simple - c took a bit of thought, but I think I got it

Q3 - Proof of de moivre's theorem on q3 threw me a bit - it's never been asked before - but I rememberd most of the steps so i prob got 15/20. Again a and b were sound

Q6 - again, a and b were fine. C - first part was sound, second was tough but I attempted it so probably 13/20

Q 7 - A and B were easy. C was for me the hardest q on the paper - I mixed it up with something else and got nowhere.

Q 8 A was fine, but the second part of B was a bit tricky - I got it after ages.
C was very difficult - I'd say I got 7 out of 20

So overall, i was probably just short of an A. Tricky enough paper in places, but not horrible.

Here's hoping for a nice paper on Monday :-)

peteballagh

Caoimhe89 wrote: »

I got 23/6. Hmmm... now i'm slightly worried.

I got 21/6 - but I found out afterward that I used the wrong limits - annoying q

Calorimeterman

I drew the graph just there for part c, I was well off with 6, but I thinkI got the whole theory behind it right, so the mistake was probably arithmatic...

Any one who got around 10, give or take a half would probably be right.

Peslo

They could have made 1c and 2c ALOT easier!!!

And what was the story with 1b???

kaki

By caspul42 at 2008-06-06

Page 1...imageshack's taking it's sweet time...

Yuugib

i tried to work the qs 8 out just now.. and got 10/1/6

then for qs 1 a i got 2/(x+2)

qs b i = 47 and ii = 233 O_o

3 (a) got the same

3 b i got 1 - i
b ii = o + 8i

5 a got -2<x<5

b i = 9 and -3
ii = 11 and -2

qs 6 a (3x^2/2root x^3)
c i = -12
ii = c<-20 and c>7

qs 8 B i = e - 1
ii = 1/4 ln 5

can anybody confirm?

Nanaki

peteballagh wrote: »

I got 21/6 - but I found out afterward that I used the wrong limits - annoying q

uh-oh... something tells me 4/3 was not quite right >_O

1 (a) 4x-4
(b) didn't get it
(c) was fine

2 (a) grand
(b) (i) 47
(ii) 322
(c) anyone wanna post a solution?

3 (a) 27 28
10 10
(b) maaajorly messed that up!
(c) fine, remembered it straight from my notes

4 - didn't cover Q4

5 (a) -2 < x < 5 (less than or equal to)
(b) went wrong
(c) not a clue, somehow I got x= -3/2, 2, -4 ...wrong!

6 (a) (3/2)(x)^1/2
(b) fine, nice question
(c) (i) -12
(ii) nothing

7 (a) 2 + 2Cos2x
(b) (i) -5x/8y
(ii) didn't work out, I got one slope as -5/8, the other 5/8
(c) got it down to 1/(x^2 + x^4) wrong

8 (a) x^3 + (1/3)Sin3x + c
(b) (1/2)(e^2 - 1)
(c) I got 4/3 O__o

LC90

Got these in the exam,haven't checked over them since so probably a couple wrong.

Q1 a) 2 over (x-2)
b) x = 3,1/3 and 3/2
c)Tough one but I think I got it out.I ended up finding b and c
then multiplying them to get ad.Probably an easier way though

Q2 a) (x+5)squared + 7
b) i) 47
ii) 322 (unsure about these,very obscure answers)
c)Managed to prove it could not be greater than 2 but I couldn't prove it was below minus 2.For above two I ended up with (a-b)squared > 0

Q3 Probably my worst,ended up forgetting how to multiply matrices Disaster
b)i)Ended up getting 7/5 + i/5 ,not very sure

Q6 a) 3 times Rootx over 2
c)Got b=-12,couldn't figure out rest

Q7 a) 2 + 2Cos2x
b)i) -10x-6y over 10y + 6x
ii) Got the slopes as -1 and 1
c) disaster

Q8 a) x squared + 3Sin3x + C
b)i) e-1
ii)Pulled a sneaky move here,I dropped the power on the x to make it work out
c) Disaster

Peslo

That paper was well dodgey!

mahamageehad wrote: »

if you have answers handy, can you tell me if mine look some form of ok...bearing in mind that im depending on attempt marks..!!
Thanks!!
Q1a- 6 over (x+2)(x-2) -wrong
Q2a- a=5 b=7 -right (if ya wrote it like (x+a)* + b
Q2bi- 51
Q2bii- -364
Q3a- -(7 2)
(5 0)
Q3bi- 1-i - right
Q3bii- 8 - i got 8i
Q5a- 2rootx
Q6ci b= -12 - 12 or minus twelve, cant remember
Q7a- 2x+2cos2x -right
Q7bi- -10x-6y - that's what i got, but it didnt work out!
6x+10y
Q8a- 2xsquared over2 + sin3x over 3 + c

whateva eva eva

Not a bad paper. Question 2c was tricky. Anyone want to post up how they did it? I cant remember what i got for it but I'm farely sure its wrong

m-i-t-s-u-k-o

I was really surpirsed and really happy with this paper! I didn't do the two differentiation questions! Also was very pleased the Q.4 c)i) was just give the two formulas!!!!!!

kaki

By caspul42 at 2008-06-06

meeka

I didn't think the paper was too bad...

That said, I didn't do fantastically, but I was hardly expecting to :P Hopefully I've managed a B..

Question 1 was okay, but I had gone on to part c) for some reason and forgot to finish part b), so only got the first x = 3. Oh well. I got part c) out pretty easily, anyway..

Queston 2 was fine apart from part c), which I may have just about scraped attempts marks for.

I think I got Question 3 fully out. Question 6 and 7 were .. okay-ish..

I got all of Question 8 out, but I probably got part c) wrong. Oh well!

V.I.Princess

Em so I dunno if we all dis d same exam paper..But myn was um a disaster!!! The C parts were def challengin..

LC90

Yuugib wrote: »

i tried to work the qs 8 out just now.. and got 10/1/6

then for qs 1 a i got 2/(x+2)

qs b i = 47 and ii = 233 O_o Worked it out again there and got 322 again

3 (a) got the same

3 b i got 1 - i
b ii = o + 8i

5 a got -2<x<5

b i = 9 and -3
ii = 11 and -2

qs 6 a (3x^2/2root x^3) Same
c i = -12 Same
ii = c<-20 and c>7

qs 8 B i = e - 1 Same
ii = 1/4 ln 5

can anybody confirm?

.

Yuugib

woops... i have 322 as well typoo

kaki

By caspul42 at 2008-06-06

I'd just like to add (although it's pointless now) that the reason that I have two question marks beside part (a) of question 6 is because I somehow managed to misread it, and thought they were asking us to differentiate root x cubed from first principles. Which I spent a quarter of an hour trying and failing to do. Stupid.

MnMs

omg please tell me everyone did question 4...what a stupidly easy question...10 marks for remembering the formula...simple as

easy to pick up marks on it

no integration proofs or anything
:eek::eek::eek:

kaki

By caspul42 at 2008-06-06

Sorry about the scrawlings...

tabouli

MnMs wrote: »

omg please tell me everyone did question 4...what a stupidly easy question...10 marks for remembering the formula...simple as

easy to pick up marks on it

no integration proofs or anything
:eek::eek::eek:

+1, couldn't believe it when I saw it.

MnMs

tabouli wrote: »

+1, couldn't believe it when I saw it.

ya i was so shocked!! overall i thought the easy parts were simple t the hards parts were challenging:)

ian.f

If you followed the hint in question 2(c) it was cula bula

straight_As

kaki wrote: »

By caspul42 at 2008-06-06

Page 1...imageshack's taking it's sweet time...

Ok guys, I'm only just finished 4th year.........I'll give 2c a go.

a>0, b>0, both positive.

a/b+b/a........must be positive to satisfy above, therefore, must be greater than 2 (positive again).

therefore,
a/b+b/a > 2
(a^2+b^2)/ab > 2 ab is positive as a>0, b>0.......multiply across and retain inequality sign.
a^2 - 2ab - b^2 > 0
(a-b)^2 > 0 ......true, therefor above statement must be true.

Different signs. a>0 and b<0 or vice versa
Therefore,
-(a/b)-(b/a) = -(a/b + b/a).........less than zero, prove less than -2.
-(a^2 + b^2)/ab < -2
therefore a^2 + b^2 -2ab > 0
(a-b)^2 > 0 therefore above statment is true

Not sure if I'm right, I still have two years to the LC to improve though!

Edit:
Forgot to mention guys, in the first part of my proof, if a<0 and b<0, the proof still works the same (signs cancel each other). Only noticed I'd forgot it there. Sorry