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April 29, 2024, 01:43:56 pm
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Author Topic: VCE 2007 CAS MM paper  (Read 2243 times)  Share 

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Survivor

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VCE 2007 CAS MM paper
« on: October 12, 2008, 07:27:23 pm »
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Paper 2, question 4, part b. Just to clear up my understanding, what does it mean exactly?

The question is:

Let h be the function [0,2] -> R, h(x) = f(x). State the range of h using exact values.

The h(x) = f(x) bit... does it mean that h(x) has the exact same equation as f(x), or is it reflected in some sort of way? Lol confused... if I don't get what it means I can't get the other 8 marks, lol. Thanks!

Paper can be found here:

http://www.vcaa.vic.edu.au/vce/studies/mathematics/methods/exams.html
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shinny

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Re: VCE 2007 CAS MM paper
« Reply #1 on: October 12, 2008, 07:30:32 pm »
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It means h(x) has the same equation as f(x), but it just has the added bonus of a domain restriction [0,2] =T Hence, the range of h(x) will be different to f(x)
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bucket

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Re: VCE 2007 CAS MM paper
« Reply #2 on: October 12, 2008, 07:31:19 pm »
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I'm pretty sure it means that they are the same.
edit* yeah what he said.
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danieltennis

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Re: VCE 2007 CAS MM paper
« Reply #3 on: October 12, 2008, 07:32:44 pm »
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Quote from: Survivor on October 12, 2008, 07:27:23 pm
Paper 2, question 4, part b. Just to clear up my understanding, what does it mean exactly?

The question is:

Let h be the function [0,2] -> R, h(x) = f(x). State the range of h using exact values.

The h(x) = f(x) bit... does it mean that h(x) has the exact same equation as f(x), or is it reflected in some sort of way? Lol confused... if I don't get what it means I can't get the other 8 marks, lol. Thanks!

Paper can be found here:

http://www.vcaa.vic.edu.au/vce/studies/mathematics/methods/exams.html

h(x) is basically the same with f(x) but with a restricted domain [0,2]. As a result, the range will be also different to f(x)
« Last Edit: October 12, 2008, 07:37:33 pm by danieltennis »
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Survivor

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Re: VCE 2007 CAS MM paper
« Reply #4 on: October 12, 2008, 07:33:19 pm »
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Oh, ok :P That's a lot easier than I made it out to be. Thank you! Yeah, I'm not exactly a maths student, questions like these make me realise that I should flogged for choosing methods. Thanks!
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Survivor

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Re: VCE 2007 CAS MM paper
« Reply #5 on: October 12, 2008, 07:34:35 pm »
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(I'll probably have more questions along the way... the assessment report isn't great cuz it doesn't show the working marks. Hope you guys don't mind.)
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Survivor

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Re: VCE 2007 CAS MM paper
« Reply #6 on: October 12, 2008, 07:42:33 pm »
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Would somebody like to go through all of questions 4 + 5 on paper 2 for me? I got 4a and 5a, but sort of stuck/unconfident on everything else.

EDIT: Make it question 1, 4 (excluding a) and 5 (excluding a) actually. Lol.
« Last Edit: October 12, 2008, 07:45:57 pm by Survivor »
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bucket

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Re: VCE 2007 CAS MM paper
« Reply #7 on: October 12, 2008, 09:44:43 pm »
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The answers are in the examiners report...
Heres my working out for question 1:
a.

You get the formula for the volume of a cylinder from the formula sheet they provide.
You have the volume already, so:




b.
TSA =Area of the curved surface of a cylinder + Area of a circle x 2(there are two circles), you get these both from the formula sheet too.


We know that , so substitute that into the equation:

=
Cancel the and at the top


c.
For the radius of the can to be at a minimum,
is so we equate it to zero.









d.
Just sub in into using your calculator as it doesnt ask you to show anything.


edit* i realised that i made a mistake lolololol
« Last Edit: October 13, 2008, 12:23:47 am by bucket »
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Survivor

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Re: VCE 2007 CAS MM paper
« Reply #8 on: October 12, 2008, 10:23:32 pm »
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+1

Thank you :D

Yeah, I know the answers are in the report, but I can't follow through cuz they don't go through all the steps. I get lost easily so yeah... doesn't work.
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plato

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Re: VCE 2007 CAS MM paper
« Reply #9 on: October 12, 2008, 11:39:36 pm »
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I'm a bit confused. Is the question about 2007 MM CAS or non-CAS.

Bucket's answer is correct for question1 on the non-CAS paper.

His answer for 1c is and this is the same as and so his answer does match the one given by VCAA.

But the negative sign in Bucket's second last line in 1c would really give the value of r as negative.

The problem arises in the differentiation of which is negative.

ie the derivative of   is   

Setting this to zero then gives with no negative sign to cause a problem
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bucket

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Re: VCE 2007 CAS MM paper
« Reply #10 on: October 13, 2008, 12:21:50 am »
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aha!!! theres my error!!
thanks a lot man :)
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methodsboy

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Re: VCE 2007 CAS MM paper
« Reply #11 on: October 17, 2008, 08:08:34 pm »
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my class was told that this year's paper wont be that hard
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kurrymuncher

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Re: VCE 2007 CAS MM paper
« Reply #12 on: October 17, 2008, 09:28:57 pm »
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Quote from: methodsboy on October 17, 2008, 08:08:34 pm
my class was told that this year's paper wont be that hard

how do they know that?
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ReVeL

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Re: VCE 2007 CAS MM paper
« Reply #13 on: October 17, 2008, 09:48:54 pm »
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Quote from: methodsboy on October 17, 2008, 08:08:34 pm
my class was told that this year's paper wont be that hard

That's not a great thing - if it IS true.

Easier exam Stronger competition Higher grade cut-off Harsher penalties for careless mistakes.

So for me that would be bad, cause I tend to make silly mistakes. But I guess it varies depending on the person.
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bucket

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Re: VCE 2007 CAS MM paper
« Reply #14 on: October 18, 2008, 03:42:18 am »
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Quote from: kurrymuncher on October 17, 2008, 09:28:57 pm
Quote from: methodsboy on October 17, 2008, 08:08:34 pm
my class was told that this year's paper wont be that hard

how do they know that?
hasnt anybody told you the assumptions that are being made? =_=

apparently in 2006 the exam was too easy, so they tried to make the exam harder in 2007, apparently that was too hard, so the assumption is that they will make the exam easier than to 2007 one for this year.
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