Author Topic: VCE Specialist Maths Exam 2 Discussion and Questions (Read 23196 times)

LifeisaConstantStruggle · « **Reply #30 on:** November 13, 2017, 09:44:33 pm »

Quote from: Pinkydoo on November 13, 2017, 09:41:55 pm

I tried the link and it says 'you need permission' and I've already requested like so many times, but still can't view em

works alright for me (you might need a google account for it).

carol1234567890 · « **Reply #31 on:** November 13, 2017, 09:52:44 pm »

so if i pull 30/40 on exam 1 and maybe 52-53/80 on exam 2 what might i be looking at ?

(((

Pinkydoo · « **Reply #32 on:** November 13, 2017, 10:05:26 pm »

Quote from: LifeisaConstantStruggle on November 13, 2017, 09:44:33 pm

works alright for me (you might need a google account for it).

Thanks got it now... was using my school gmail so it didn't work

uhoh · « **Reply #33 on:** November 13, 2017, 11:37:12 pm »

No idea about exam 1 since I forgot my ans aahha maybe like 50-70%
Exam 2: Around 60/80

What study score with a 50% on exam 1 and what study score with a 70% on exam 1?

bump?

InfinityWen · « **Reply #34 on:** November 14, 2017, 12:14:49 am »

Quote from: Lethal Sauce on November 13, 2017, 05:37:00 pm

Ahhh, that sinking feeling when you realise in the last 5 minutes that there are actually six Extended Response questions. rip 9 marks

I always vary slow when I doing multiple-choice questions at first,so I doing it afterwards,as a consequence ,I have insufficient time to finish the multiple choices at the last 25minutes of the exam and 1/3of the questions I just guessed........

Somedudelmaoy · « **Reply #35 on:** November 14, 2017, 12:18:34 am »

Around what study score would being rank 1 and getting 36/40 and 76/80 be?

Potatocheese · « **Reply #36 on:** November 14, 2017, 12:39:53 am »

Got 40/40 for exam 1
69/80 for exam 2
Ranked relatively high in a strong cohort
Would a 40+ still be possible?
( :'(dropped 2 marks on the last question didn't notice the 'percentage'... screwed up exam 2 so hard)

Quantum44 · « **Reply #37 on:** November 14, 2017, 06:25:16 am »

Quote from: Somedudelmaoy on November 14, 2017, 12:18:34 am

Around what study score would being rank 1 and getting 36/40 and 76/80 be?

Probably 42-43

Quote from: Potatocheese on November 14, 2017, 12:39:53 am

Got 40/40 for exam 1
69/80 for exam 2
Ranked relatively high in a strong cohort
Would a 40+ still be possible?
( :'(dropped 2 marks on the last question didn't notice the 'percentage'... screwed up exam 2 so hard)

I think you'll get 40. Exam 2 will probably be a high A but exam 1 should pull you up.

Potatocheese · « **Reply #38 on:** November 14, 2017, 06:47:41 am »

What's the estimation of a+ cut off this year for exam 2 tho? I thought it was fairly challenging somehow, I've done worse than any other trial papers I did for preparation...

Sine · « **Reply #39 on:** November 14, 2017, 07:03:38 am »

A+ for spec doesn't usually change that much due to the strength of the cohort so will most likely stay at low 70s/80

lilyzombie2 · « **Reply #40 on:** November 14, 2017, 07:36:45 am »

really appreciate if someone could tell me whether or not I could still get a 38 for my score

sac: 96%average
Exam1 34/40
Exam2 66/80

illuminati_confirmed · « **Reply #41 on:** November 14, 2017, 11:45:03 am »

I haven't viewed the solutions but how were we meant to get that time question? I couldn't find an exact answer as my CAS wasn't able to find one so I had to use a decimal approximation instead.

Also I found it to be very long, but quite easy too, as I managed to complete all the extended response questions, although I had to guess some multiple choice questions as they were taking too long to fit into the 30min I try and do the MC section in.

Also I really stuffed up exam 1, hoping for at least over 50% on it, but I feel like that I have made up for it on this exam, I hope that at least cancels out and I can get over 30? $:-\$

The Bus · « **Reply #42 on:** November 14, 2017, 03:01:22 pm »

I found exam 2 alright, similar trend methods.

I bombed the easy exam 1 and performed at a decent level for exam 2.

Anyway, bombed exam 1 way too hard to get a decent score. So sad tbh..

jazzycab · « **Reply #43 on:** November 14, 2017, 09:43:07 pm »

Which time question are you referring to, illuminati_confirmed?
It turns out I did get the correct answer for MCQ 10, but it's been bugging me for a while.
I've finally found the time to sit down and investigate it. I think it's the most technical question I've ever seen assessed in Specialist (at least to find an answer in a way that will satisfy me...).
Below is my ACTUAL solution for it:
$\text{If }f\left(x\right),f'\left(x\right)\text{ and }f''\left(x\right)\text{ exist }\forall x\in\mathbb{R}\text{ then }f\left(x\right)\text{ is smooth and continuous }\forall x\in\mathbb{R}\\\text{If }f''\left(x\right)=\frac{\left(x+a\right)^2\left(x-b\right)}{g\left(x\right)}\text{, where }g\left(x\right)<0\text{ }\forall x\in\mathbb{R},\text{ then }f\left(x\right)\text{ can only have points of inflection at }x=-a\text{ or }x=b.\\\text{The only point(s) on }\left|f\left(x\right)\right|\text{ that may not be smooth are }x\text{-intercepts.}\\\text{Therefore, a point of inflection of }f\left(x\right)\text{ is also a point of inflection of }\left|f\left(x\right)\right|\text{ unless it is also an }x\text{-intercept.}\\\text{Given that }f\left(-a\right)=f\left(b\right)=-1\ne0\text{, the points at }x=-a\text{ and }x=b\text{ could be points of inflection of }\left|f\left(x\right)\right|.\\\text{A function, }h\left(x\right)\text{ has a point of inflection at }x=k\text{ if }h''\left(k\right)=0\text{ and the sign of }h''\left(x\right)\text{ changes, locally to }x=k.\\\text{Thus, }h''\left(k-\alpha\right)\cdot h''\left(k+\alpha\right)<0\implies\left(k,h\left(k\right)\right)\text{ is a point of inflection, where }\alpha\text{ is an arbitrary constant such that }h''\left(x\right)\ne0\text{ }\forall x\in\left(k-\left|\alpha\right|,k+\left|\alpha\right|\right)\backslash\lbrace k\rbrace.\\\text{The distance between the two possible points of inflection of }f\left(x\right)\text{ is }\left|b-\left(-a\right)\right|=\left|b+a\right|.\\\text{Testing the point at }x=-a:\\\text{Let }\beta=\frac{b+a}{2}.\\\text{One of }\beta-a\text{ and }-\beta-a\text{ will be between }-a\text{ and }b.\\\text{(the other will be greater than }-a\text{ if }-a>b\text{ or less than }-a\text{ if }-a< b\text{).}\\f''\left(\beta-a\right)\cdot f''\left(-\beta-a\right)=\frac{3\left(a+b\right)^6}{64g\left(\beta-a\right)g\left(-\beta-a\right)}\\\text{The numerator is positive and the denominator is also positive, as }g\left(x\right)\text{ is always negative, giving two negative products.}\\\text{Thus, the net result is a positive number, indicating that }\left(-a,-1\right)\text{ is not a point of inflection.}\\\text{Testing the point at }x=b:\\f''\left(b-\beta\right)\cdot f''\left(b+\beta\right)=\frac{-9\left(a+b\right)^6}{64g\left(b-\beta\right)g\left(b+\beta\right)}.\\\text{Conversely to the point at }x=-a\text{, this is negative. Thus}\left(b,-1\right)\text{ is a point of inflection of }f\left(x\right).\\\text{The only additional complication would be if }b=-a\text{, in which case }f''\left(x\right)=\frac{\left(x+a\right)^3}{g\left(x\right)}=\frac{\left(x-b\right)^3}{g\left(x\right)}.\\\text{In this particular case, }f''\left(-2a\right)\cdot f''\left(-\frac{a}{2}\right)=-\frac{a^6}{8g\left(-2a\right)g\left(-\frac{a}{2}\right)}< 0.\\\text{or }f''\left(2b\right)\cdot f''\left(\frac{b}{2}\right)=-\frac{b^6}{8g\left(2b\right)g\left(\frac{b}{2}\right)}<0.\\\text{Thus, }\left(-a,-1\right)\text{ is a point of inflection of }f\left(x\right)\text{ only if }-a=b\\\therefore\left(b,\left|-1\right|\right)=\left(b,1\right)\text{ is the only point of inflection of }\left|f\left(x\right)\right|.$

brandon.lauton15 · « **Reply #44 on:** November 15, 2017, 11:37:40 am »

Hi just a quick question
If I got
37/40 in exam 1
And 66/80 in exam 2
And sac average low A+
What study score am I looking at?

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Author Topic: VCE Specialist Maths Exam 2 Discussion and Questions (Read 23196 times)

LifeisaConstantStruggle

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carol1234567890

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Pinkydoo

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uhoh

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InfinityWen

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Somedudelmaoy

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Potatocheese

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Quantum44

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Potatocheese

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Sine

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lilyzombie2

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illuminati_confirmed

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The Bus

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jazzycab

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brandon.lauton15

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