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March 29, 2024, 04:50:42 am

Author Topic: Specialist Maths (Exam 2): Discussion, Questions & Potential Solutions  (Read 22757 times)

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Onyx

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Re: Specialist Maths (Exam 2): Discussion, Questions & Potential Solutions
« Reply #45 on: November 12, 2018, 09:10:26 pm »
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for the vector calc one, i wrote t<5/2. would I lose the mark given I never wrote its [0,5/2)? i assumed since t is already defined being greater than 0 i never wrote it

i got 4pi/3 - root3 for the area of the complex part.

for 6e, I got 146.51, I did invNorm(0.05,0,1) to get -1.64485362591 or something like that, then (root2(x-150))/3 = -1.64485362591, to get 146.51 to 2d.p.

Mod Edit: Post merge, use the Modify button to edit your first post to avoid posting twice/three times in a row! :)
« Last Edit: November 13, 2018, 07:45:15 am by jamonwindeyer »

jazzycab

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Re: Specialist Maths (Exam 2): Discussion, Questions & Potential Solutions
« Reply #46 on: November 12, 2018, 09:36:56 pm »
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Why did we have to restrict the domain of g(x)? I thought that we consider it a different function on it's maximal domain. I interpreted it as, if g(x)=sign(x). Then g(x) = -4 for x<0 and 4 for x>0
I think the wording of this question is very ambiguous - \(f'\left(x\right)\) is over its maximal domain, which could mean \(g\left(x\right)\) could have any domain of which \(\left(-\sqrt{2},0\right)\cup\left(0,\sqrt{2}\right)\) is a subset. Given that the graph question didn't ask for any specific points to be labelled, I'm now more inclined to think that the intention was for \(g\left(x\right)\) to have its maximal domain, \(\mathbb{R}\setminus\lbrace 0\rbrace\).
you sure about that segment q. I got 4pi/3 - root(3)
You're correct, I've made some error somewhere that gave me an angle of \(\frac{\pi}{3}\) instead of \(\frac{2\pi}{3}\)
6e) 146.51? instead of 146.52
As has been stated, I rounded up as 146.51 is the largest value for which \(H_{0}\) is rejected, as opposed to 146.52, which is the smallest value for which \(H_{0}\) is not rejected.
Did 4e ask for the total time (4.1) or the time interval?
4e asked for 'what period of time' which I think is ambiguous - I only included the total time as an afterthought. I realise now that this is going to be incorrect to the nearest minute as I rounded the lower end-point up to 91.8 (as the two yachts are not within 0.2 km of one another at \(t=91.7\)
Is question 9 C or D? Two answers have been provided so far.
I've made an algebraic error on this one - it's D

AlphaZero

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Re: Specialist Maths (Exam 2): Discussion, Questions & Potential Solutions
« Reply #47 on: November 13, 2018, 12:11:11 am »
+2
As has been stated, I rounded up as 146.51 is the largest value for which \(H_{0}\) is rejected, as opposed to 146.52, which is the smallest value for which \(H_{0}\) is not rejected.

I believe you are not meant to directional round your answer here. What you've done here makes sense if the variable we are concerned with is discrete.

We see this occur a lot in Methods with sample sizes. For eg: "Find the smallest value of \(n\) for which \(\text{Pr}(X>1)>0.99\)").

However, here the variable we are concerned here with is continuous. The question states to find the smallest \(c\) such that \(\text{Pr}(\overline{X}<c)>0.05\), correct to two decimal places. The value of \(c\) is 146.51073854119...., which, correct to two decimal places, is 146.51, not 146.52.

I understand the logic you're trying to apply (that \(\text{Pr}(\overline{X}<146.510000)<0.05\), so we should answer with 146.52), but 146.510000 is not the answer we are supplying. We are saying that the answer is 146.51, correct to two decimal places.
« Last Edit: November 13, 2018, 12:14:42 am by dantraicos »
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AlphaZero

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Re: Specialist Maths (Exam 2): Discussion, Questions & Potential Solutions
« Reply #48 on: November 13, 2018, 12:32:57 am »
+3
Also, my solutions are up (finally).

Get them here: https://atarnotes.com/forum/index.php?topic=181370.msg1084174#msg1084174
2015\(-\)2017:  VCE
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Mattjbr2

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Re: Specialist Maths (Exam 2): Discussion, Questions & Potential Solutions
« Reply #49 on: November 13, 2018, 06:39:20 am »
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Also, my solutions are up (finally).

Get them here: https://atarnotes.com/forum/index.php?topic=181370.msg1084174#msg1084174

You have 17 as D. You sure it's not E?
2017: Further (41)
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AlphaZero

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Re: Specialist Maths (Exam 2): Discussion, Questions & Potential Solutions
« Reply #50 on: November 13, 2018, 08:48:24 am »
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You have 17 as D. You sure it's not E?

Arrrrghghgh. Why am I so bad at this? Yes, the answer is E, not D...

Fixing it now
2015\(-\)2017:  VCE
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DinWell

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Re: Specialist Maths (Exam 2): Discussion, Questions & Potential Solutions
« Reply #51 on: November 13, 2018, 12:06:55 pm »
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Also, my solutions are up (finally).

Get them here: https://atarnotes.com/forum/index.php?topic=181370.msg1084174#msg1084174
Brilliant work as always, dantraicos.
2018: English [???] | Methods [???] | Specialist [???] | Physics [???] | Chemistry [???]
2019: ???

JamesMaths

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Re: Specialist Maths (Exam 2): Discussion, Questions & Potential Solutions
« Reply #52 on: November 20, 2018, 01:33:32 pm »
+1
Here is my solution to the Specialist Maths Exam 2 paper.
(Part 1)

PDF on my web site:
https://unimelb.academia.edu/JamesCui

Provide Tutorials in Maths Methods and Specialist Maths in Balwyn.

Regards

James.

JamesMaths

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Re: Specialist Maths (Exam 2): Discussion, Questions & Potential Solutions
« Reply #53 on: November 20, 2018, 01:35:07 pm »
+1
Here is my solution to the Specialist Maths Exam 2 paper.
(Part 2)

PDF on my web site:
https://unimelb.academia.edu/JamesCui

Provide Tutorials in Maths Methods and Specialist Maths in Balwyn.

Regards

James.

JamesMaths

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Re: Specialist Maths (Exam 2): Discussion, Questions & Potential Solutions
« Reply #54 on: November 20, 2018, 01:36:18 pm »
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Here is my solution to the Specialist Maths Exam 2 paper.
(Part 3)

PDF on my web site:
https://unimelb.academia.edu/JamesCui

Provide Tutorials in Maths Methods and Specialist Maths in Balwyn.

Regards

James.