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April 28, 2026, 02:16:33 am

Author Topic: VCE Methods Question Thread!  (Read 6061287 times)  Share 

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lzxnl

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Re: VCE Methods Question Thread!
« Reply #12000 on: September 09, 2015, 05:09:17 am »
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When finding the values for x in which f(x) is strictly/decreasing, why do we have to include the turning point (according to insight exam 2014 solutions)? Isn't the gradient 0 there, so not decreasing or increasing?

Another reason why you don't use the gradient:
'Strictly increasing/decreasing' applies also when the function is discontinuous or otherwise not differentiable.
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knightrider

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Re: VCE Methods Question Thread!
« Reply #12001 on: September 09, 2015, 09:02:38 am »
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For this question attached.

Can you please check if my  initial state matrix and the transition matrix are right?



AND

knightrider

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Re: VCE Methods Question Thread!
« Reply #12002 on: September 09, 2015, 11:05:37 am »
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For this image attached.

Is the reason they got rid of the (x+1)'s because they took it out as a common factor?

keltingmeith

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Re: VCE Methods Question Thread!
« Reply #12003 on: September 09, 2015, 12:17:03 pm »
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For this question attached.

Can you please check if my  initial state matrix and the transition matrix are right?



AND

This is beyond the scope of methods - I would not be using this as a practice question.

knightrider

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Re: VCE Methods Question Thread!
« Reply #12004 on: September 09, 2015, 04:17:31 pm »
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This is beyond the scope of methods - I would not be using this as a practice question.

Is it right though?

knightrider

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Re: VCE Methods Question Thread!
« Reply #12005 on: September 09, 2015, 04:18:16 pm »
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For this image attached.

Is the reason they got rid of the (x+1)'s because they took it out as a common factor?

Can anyone help with this ?

Rishi97

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Re: VCE Methods Question Thread!
« Reply #12006 on: September 09, 2015, 04:26:55 pm »
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Can anyone help with this ?

Yes :)
To simplify an equation further, common factors are take out
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odeaa

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Re: VCE Methods Question Thread!
« Reply #12007 on: September 09, 2015, 05:35:58 pm »
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For where p is a positive constant and , what values of , correct to 4 decimal places, does the maximum value of occur when ?

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qwerty101

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Re: VCE Methods Question Thread!
« Reply #12008 on: September 09, 2015, 06:43:50 pm »
+1
Yes :)
To simplify an equation further, common factors are take out

beat me to it
« Last Edit: September 09, 2015, 10:51:35 pm by qwerty101 »

knightrider

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Re: VCE Methods Question Thread!
« Reply #12009 on: September 09, 2015, 08:05:29 pm »
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For this question attached.

Can you please check if my  initial state matrix and the transition matrix are right?



AND

could someone check if my answer is right?
Thanks  :)

Adiamond

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Re: VCE Methods Question Thread!
« Reply #12010 on: September 09, 2015, 08:36:43 pm »
+1
*Disclaimer, you cut out the last part of the question so i had to guess if he went from low to high with a 5% rate or low to medium with a 5% rate, i chose low->high with a 5% rate because it seems to be the most logical.

You were close but not quite right, first of all I would put it all in order, it makes it much easier, I do it from the top to the side (so if the top order is High-Med-Low, the side order will be high-Med-Low).

The second change would be a quality of life change, it won't be a game changer but it will be the difference between getting 3/4 marks or full marking a question.
Because the question specifies that this is out of 200 people, you should convert those percentages to people in your initial state matrix.

Good luck and happy hunting for the rest of the year!

knightrider

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Re: VCE Methods Question Thread!
« Reply #12011 on: September 09, 2015, 08:54:49 pm »
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*Disclaimer, you cut out the last part of the question so i had to guess if he went from low to high with a 5% rate or low to medium with a 5% rate, i chose low->high with a 5% rate because it seems to be the most logical.

You were close but not quite right, first of all I would put it all in order, it makes it much easier, I do it from the top to the side (so if the top order is High-Med-Low, the side order will be high-Med-Low).

The second change would be a quality of life change, it won't be a game changer but it will be the difference between getting 3/4 marks or full marking a question.
Because the question specifies that this is out of 200 people, you should convert those percentages to people in your initial state matrix.

Good luck and happy hunting for the rest of the year!

Thanks Adiamond  :)

but i did my order as high,low and then medium  ;)

Adiamond

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Re: VCE Methods Question Thread!
« Reply #12012 on: September 09, 2015, 09:13:51 pm »
+1
Thanks Adiamond  :)

but i did my order as high,low and then medium  ;)
Hahaha i didn't even think of that, sorry mate your transition matrix was right then.

cosine

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Re: VCE Methods Question Thread!
« Reply #12013 on: September 10, 2015, 05:10:54 pm »
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May someone show me how to logically tackle this question, without the abuse of the assessors report, in other words, can someone show me why and how they get the answer? Please?
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lzxnl

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Re: VCE Methods Question Thread!
« Reply #12014 on: September 10, 2015, 06:41:20 pm »
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The largest domain that cos u is one to one is something like [0, pi]. You therefore want loga(x) to only take these values. Try the rest yourself now,
2012
Mathematical Methods (50) Chinese SL (45~52)

2013
English Language (50) Chemistry (50) Specialist Mathematics (49~54.9) Physics (49) UMEP Physics (96%) ATAR 99.95

2014-2016: University of Melbourne, Bachelor of Science, Diploma in Mathematical Sciences (Applied Maths)

2017-2018: Master of Science (Applied Mathematics)

2019-2024: PhD, MIT (Applied Mathematics)

Accepting students for VCE tutoring in Maths Methods, Specialist Maths and Physics! (and university maths/physics too) PM for more details