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Higher Mathematics : Paper Two Opinion

  • 11-06-2007 11:12am
    #1
    Closed Accounts Posts: 630 ✭✭✭


    Just finished paper two. Just like paper 1 it was a very easy paper. The C parts were slightly trickier than usual I found though but Question 8 was very simple. I got 50/50 in question 1 but the hard parts was the two c parts of the trigonometric bits involving the diagrams.

    Overall, a very easy paper complemented with the easy paper 1 we had.

    Definitely got 70%+>

    Watcha think?


«134

Comments

  • Registered Users, Registered Users 2 Posts: 1,152 ✭✭✭carlowboy


    I'd say I got 70% but I thought it was a horrible paper. I got 8 and 1 out. 6 c was a total mess. 3c was a bit weird. I forgot the proof for sin(A+B).


  • Closed Accounts Posts: 630 ✭✭✭Lucas10101


    3c was abstract compared to previous years. I never touched probability as I never know if Im right.

    What answer did people get for Integral of Tan-1 dx....I got Pi/4 + 1/2Loge2.??


  • Closed Accounts Posts: 1,254 ✭✭✭Citizen_Erased


    Got the two trigo c's out perfectly but what worries me is that if the standard of them questions is low then marks will be reallocated to the part B or whatever. I had just a few wee slips here and there but it was a grand paper over all , no complaints as long as they dont shift the marks too much.

    /EDIT yeah lucas i got the same as that but i also put it in a decimal form too


  • Closed Accounts Posts: 630 ✭✭✭Lucas10101


    What way do you go about getting the C parts for Trig out??? I guessed of getting values in H and using the Cosine Formula??


  • Closed Accounts Posts: 1,254 ✭✭✭Citizen_Erased


    get |pr| and |rq| in terms of h using the sin rule (from the upright triangles) and then using the cosine rule (on the ground plane) you can find the angle then (you can put in values for h at the cosine rule stage) .

    //edit the other one is slightly too complicated to explain here but you divide acb into a triangle and a sector etc


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  • Closed Accounts Posts: 630 ✭✭✭Lucas10101


    I got values for the two sides actually so I must have got half-marks at least and did use the cosine rule..... :)


  • Closed Accounts Posts: 1,254 ✭✭✭Citizen_Erased


    I got 120 degrees to anyone if it matters ...

    I would also like to be able to say wh00t to no more maths , but I just realised I apllied for engineering so that aint gonna happen :D


  • Closed Accounts Posts: 16 cormac17


    what was part a in question 8??!!! defo didnt get that out:(:(


  • Registered Users, Registered Users 2 Posts: 1,152 ✭✭✭carlowboy


    CE High five for 120 :D

    Hopefully they'll take all the marks from 3c.

    I got pi/8 or pi/4 I'm not sure for 8c...


  • Closed Accounts Posts: 1,254 ✭✭✭Citizen_Erased


    Answer => p = 1/2

    p+q = 1
    q=1-p
    pq=p(1-p)
    pq=p-p^2

    and then get the diferentiation and let it equal to 0

    (i could be wrong with that though)


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  • Registered Users, Registered Users 2 Posts: 1,152 ✭✭✭carlowboy


    Aye, that's how I did it.


  • Closed Accounts Posts: 1,504 ✭✭✭Nehpets


    Damn I didn't differentiate it.. meant to go back to that one too


  • Closed Accounts Posts: 22 Shark-69


    Bitch of a paper..Some answers I got...Q5c angle prq = 120
    Q3bii Ratio = 1:2
    Q3cii 7K=-9l
    Q8a p=1/2
    Q8c ans: Pi/4 - ln[root2] (same as Pi/4 - 1/2ln[2])
    Anyone get any of these answers?


  • Registered Users, Registered Users 2 Posts: 1,152 ✭✭✭carlowboy


    got all of them as well apart from 8c
    Sigh :(


  • Closed Accounts Posts: 1,254 ✭✭✭Citizen_Erased


    I got the ratio 1:4 but its not worth getting into anyway....

    7k=-9L Tho wh00t , my mind at rest some more there


  • Registered Users, Registered Users 2 Posts: 1,152 ✭✭✭carlowboy


    did you get root 2: root 8?
    A lot of people thought that's 1:4


  • Moderators, Education Moderators, Home & Garden Moderators Posts: 8,260 Mod ✭✭✭✭Jonathan


    Anybody else get when w=1, r=3 and when w=6 r=10 for part 6c?


  • Closed Accounts Posts: 139 ✭✭Your Man


    could of been alot worse...
    was question 6b the difference proof?..question 7 was the giveaway one imo,
    somehow my 8c cancelled out...amyone else get that??


  • Closed Accounts Posts: 1,254 ✭✭✭Citizen_Erased


    @carlowboy
    well then i guess one of them was me , Ballix :mad:

    Ah well , one blunder isnt gonna get me down at this stage

    @Your Man .. pretty sure it shouldnt have cancelled out completely , read up^^^ for what we all got


  • Registered Users, Registered Users 2 Posts: 1,152 ✭✭✭carlowboy


    CE,I'm pretty certain that's only a slip, so you'll only lose 1 mark I'd say which is nothing really.

    JMcCrohan- I got the r= 3 but didn't have the patience and stopped on the fecking part where I was on w=6. Too time consuming.


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  • Registered Users, Registered Users 2 Posts: 7,046 ✭✭✭eZe^


    Absolutely lovely paper, delighted! Only one I had trouble with was 4 C (2).. kept getting pi/2 + 1 = pi/2.. Hopefully got my A1 overall.


  • Closed Accounts Posts: 7,794 ✭✭✭JC 2K3


    Not an easy paper, but I should have done better....

    What I didn't get:
    1(c) - I don't want to talk about it, I'm fúcking retarded. -10/-15
    3(c)(iii) - Probably an obvious answer, just couldn't think. -5
    4(c)(ii) - I spent ages on this, my mistake was stupidly taking the whole bottom section as a sector. I realised this with 2 mins to go and wrote down the proper diagram(ie. get the area of a small sector with 2alpha and of the triangle with 2 sides of length r) -5
    5(c) - Everything was fine in this, but I think I just got the substitution wrong(I did something stupid and ended up with cosA = 1/6) -3

    So I've quite possibly lost between 23 and 28 marks there depending on how much I get for what I wrote in 1(c).

    I calculated I lost around 15 to 18 marks on paper 1, and on both papers I'm not sure about any small mistakes in either paper, I haven't counted attempt marks though.

    I might just scrape the A1.....

    Such a bitch if I get an A2 and 1(c) was the reason, it'll haunt me forever.


  • Closed Accounts Posts: 120 ✭✭______


    was paper two considerably easier than paper 1?


  • Closed Accounts Posts: 100 ✭✭alancork


    christ I thought that was hard...Completely forget how to prove sin(A+B). In the vectors c) question, were you suppose to cancel out the t somehow, or leave it there???And question Q3c)ii), the relationship between k and l...how do that? was dv = dx in question 8c)? AHH i should have dropped down 2 pass last week!! :(:confused::(


  • Moderators, Education Moderators, Home & Garden Moderators Posts: 8,260 Mod ✭✭✭✭Jonathan


    carlowboy wrote:
    JMcCrohan- I got the r= 3 but didn't have the patience and stopped on the fecking part where I was on w=6. Too time consuming.

    ye i was about to doctor my results from the w=4 quadratic cause it was goin on forever. had a quick lash at w=6 at the end and it gave a quadratic with r=10 and the other root was the other solution we had already found (r=3)

    EDIT: Typo meant to say r


  • Registered Users, Registered Users 2 Posts: 238 ✭✭cookiemonst3r


    I'm sooo annoyed!! Why didnt they tell you to integrate it by parts?? i started to do this really complicated thing i learned from the book. you 1/1+xsquared = the integral of tan-1 and integrated it again!! i probably got 0/20 in that :(

    ya whoever said they got w=6 and r=10 i got w=6 and r=15:confused:


  • Moderators, Education Moderators, Home & Garden Moderators Posts: 8,260 Mod ✭✭✭✭Jonathan


    eZe^ wrote:
    Absolutely lovely paper, delighted! Only one I had trouble with was 4 C (2).. kept getting pi/2 + 1 = pi/2.. Hopefully got my A1 overall.

    Yip got that too. did u cancel down to get sinx=cosx and let x then be 45degrees???

    hopefully its somthing small


  • Registered Users, Registered Users 2 Posts: 7,046 ✭✭✭eZe^


    jmccrohan wrote:
    Yip got that too. did u cancel down to get sinx=cosx and let x then be 45degrees???

    hopefully its somthing small


    I did something really abstract... I found the area of the sector whos radius was 2rcosA and angle was 2A. Halved it, and let it equal to the area of semicircle with 2rcosA as its diameter. Id have to write it out to explain it any better.


  • Moderators, Education Moderators, Home & Garden Moderators Posts: 8,260 Mod ✭✭✭✭Jonathan


    I'm sooo annoyed!! Why didnt they tell you to integrate it by parts?? i started to do this really complicated thing i learned from the book. you 1/1+xsquared = the integral of tan-1 and integrated it again!! i probably got 0/20 in that :(

    I did the exact same bloody thing. it was the estimating pi thingy in the book. i integrated it twice and found the sum to infinity... needless to say i got an answer of 0. and im prob gonna get marks of 0 aswell!


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  • Closed Accounts Posts: 48 chas_88


    Lucas10101 wrote:
    What answer did people get for Integral of Tan-1 dx....I got Pi/4 + 1/2Loge2.??

    yes!!!!!! :D i hope we're right!


  • Registered Users, Registered Users 2 Posts: 238 ✭✭cookiemonst3r


    jmccrohan wrote:
    I did the exact same bloody thing. it was the estimating pi thingy in the book. i integrated it twice and found the sum to infinity... needless to say i got an answer of 0. and im prob gonna get marks of 0 aswell!

    Yay I'm not the one who did that!! hopefully loads more people did the same and then we can at least get attempt marks...

    what pisses me off even more is that the same question is in the book and ive done the question before. its in my copy :(


  • Closed Accounts Posts: 78 ✭✭Shox


    DAMN!! for 4 part (c) (i)

    i thought it was the length of the arc ab ya had to measure... dats defo a 0

    What did ye get for the real number k in the vector question??

    i got k=5Root3/12 ????? Dont think this is rite


  • Registered Users, Registered Users 2 Posts: 1,152 ✭✭✭carlowboy


    eZe^ wrote:
    I did something really abstract... I found the area of the sector whos radius was 2rcosA and angle was 2A. Halved it, and let it equal to the area of semicircle with 2rcosA as its diameter. Id have to write it out to explain it any better.


    I did exactly the same......just didn't finish it off haha so maybe attempt marks. I'd say there'll be 5 going for that part.


  • Closed Accounts Posts: 7,794 ✭✭✭JC 2K3


    ^It was 5root3 over somethign anyway, you're probably right.


  • Closed Accounts Posts: 51 ✭✭ron-burgandy


    delighted to see the difference equations proof and the sin(a+b) proof. 40 marks yeah

    Say I got a B1 overall, I is chuffed


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  • Registered Users, Registered Users 2 Posts: 238 ✭✭cookiemonst3r


    Shox wrote:
    DAMN!! for 4 part (c) (i)

    i thought it was the length of the arc ab ya had to measure... dats defo a 0

    What did ye get for the real number k in the vector question??



    i dont think for Q4(c) you could take that as the area of a sector of a circle because the 2 lengths are different.

    i got k=5Root3/12 ????? Dont think this is rite

    i got that too! ya its kinda a weird number alright.


  • Registered Users, Registered Users 2 Posts: 3,459 ✭✭✭T-b0n3


    r=15 w=6 i agree.. Im sure thats right..(I think anyway) sure r=15 w=6 then 15/21 x 14/20 = 210/420 = 1/2 which is p=1/2 which is what was given..

    r=10 w=6 gives p not equal to 1/2 by my calculations..

    Overall handy paper im happy enough.. Made a mess of 8 but that was expected never knew how do to them as was going to do question 9 but then never studied that so left my self pretty screwed for section B.

    Adam


  • Registered Users, Registered Users 2 Posts: 21,658 ✭✭✭✭Mushy


    For someone of my standard, I felt it went well. I'm not going to shoot out the lights in hons. Maths, but I feel after today I may have scraped an honour, which I would be delighted with.

    Q8 was just horrible for me. I was never good at that option, always found something to be a bitch, so I got sweet FA in that. then again, that differential theorom came up, as did a few others which I nailed, then Q7(c), which I never expected to go near, was amazingly easy.

    Definately should get my pass in it, but it'll be borderline with the honour


  • Registered Users, Registered Users 2 Posts: 1,152 ✭✭✭carlowboy


    Shox wrote:
    i got k=5Root3/12


    Well I got it too so yay!

    I think you could have the scaler t as 1? That's what my teacher told me after. I did it...so I'm hoping he's right. Couldn't get part (iii) though. Possibly 5 marks.


  • Closed Accounts Posts: 78 ✭✭Shox


    if i got what i tink i did correct includin my attempt marks.. i make it out as 89.33%...

    God id be gutted if 3/4 marks are the difference between 10 extra points!!!


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  • Closed Accounts Posts: 78 ✭✭Shox


    i got the c(iii) of the vector question by provin that <por = <roq

    took a while t work it out but delighted when it did!!


  • Registered Users, Registered Users 2 Posts: 5,501 ✭✭✭Fuzzy_Dunlop


    ya whoever said they got w=6 and r=10 i got w=6 and r=15:confused:

    Yeah i got r=15 too, and so did others in my class.

    Overall i thought it went well, much better than paper 1 so i may just have salvaged the A1


  • Registered Users, Registered Users 2 Posts: 1,152 ✭✭✭carlowboy


    From what Shox is going by now, I don't think I did badly at all! There may be an A1 in there for me after all. Thanks! :D


  • Closed Accounts Posts: 7,794 ✭✭✭JC 2K3


    Answers:
    1(a):
    x^2 + y^2 - 10x - 24 = 0

    (b):
    (i) r1 = 2root2, r2 = root2 and d = root2
    Since d = r1 - r2 they touch internally
    (ii) (4,5)

    (c):
    (x-3)^2 + (y-5)^2 = 25

    2(a):
    -8i -3j

    (b):
    (i) ab.b is not equal to zero
    (ii) 5root3/12 (can someone clarify that this is correct?)

    (c):
    (i) t(4i + 7j)
    (ii) p.r = 40t ; q.r = 104t
    (iii) (p.r/¦p¦¦r¦)=(q.r/¦q¦¦r¦), therefore r is on the line that bisects poq

    3(a):
    3/2 (I think I got this wrong, fúck)

    (b):
    (i)easy
    (ii)1:2

    (c):
    (i)Get point of intersection, plug it in and it = 0
    (ii)9k + 7l = 0
    (iii) ?????

    4(a):
    easy

    (b):
    x = 30, 150, 199, 340(341?)

    (c):
    (i)rsin2A/sinA = 2rcosA
    (ii)Not bothered to type it out.

    5(a):
    2/3

    (b):
    Easy.

    (c):
    120

    (I didn't do 6 or 7, pity, 7 looked piss easy, damn exam panic)

    8(a):
    1/2

    (b):
    easy

    (c):
    pi/4 - ln(root2)


  • Closed Accounts Posts: 83 ✭✭stepperupper


    That wz a disgusting paper. I failed it miserably. I hope to god my paper one was over 50% cuz that paper wz close to 30%. I'll ****ting it all summer now.


  • Closed Accounts Posts: 100 ✭✭alancork


    Shox wrote:
    What did ye get for the real number k in the vector question??

    i got k=5Root3/12 ????? Dont think this is rite

    Got that too, thank god!!!:D
    I might pass...:rolleyes:


  • Closed Accounts Posts: 83 ✭✭stepperupper


    and that tan-1 wz supposed to be integrated by parts! F U C K sake. u'd think they'd say it like they did every other F U C K I N G year.


  • Closed Accounts Posts: 78 ✭✭Shox


    my friend integrated it all perfectly, but never saw the limits at all!!
    Kick in the stones


  • Registered Users, Registered Users 2 Posts: 238 ✭✭cookiemonst3r


    Shox wrote:
    my friend integrated it all perfectly, but never saw the limits at all!!
    Kick in the stones

    well at least your friend integrated it. I didnt.


  • Closed Accounts Posts: 78 ✭✭Shox


    thats true!

    Did anyone get 3/2 for area of triangle 3(a)

    for some reason i spent ages at it, tinkin i was wrong!!


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