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VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: cosine on August 22, 2015, 10:14:25 pm

Title: Exam-Specific Questions
Post by: cosine on August 22, 2015, 10:14:25 pm
I don't feel right posting the massive exam questions on the 3/4 question thread, so I'll post my queries here and if anyone could help, I would greatly appreciate your time and efforts.

Title: Re: Exam-Specific Questions
Post by: cosine on August 22, 2015, 10:15:20 pm
How can I do 2b?
Title: Re: Exam-Specific Questions
Post by: cosine on August 22, 2015, 10:16:35 pm
For x=0, y=1

But because the question says to list answers to two decimal places, do we have to say y=1.00? So would y=1 not gain the mark?

Title: Re: Exam-Specific Questions
Post by: cosine on August 22, 2015, 10:21:14 pm
For the question attached, I worked with decimals the whole way but the assesors report had their answers in fractions, why? Would my decimal answers suffice? (They don't even say what form to answer in..)

Also, because of my continuous use of decimals for this question, I found it incredibly impossible to answer b iii and iv but the assessors report had it simply in fractions and were easily able to find the answer. My main question for this is, when do we know it is more appropiate and useful to use fractions over decimals? And vice versa? I always seem to lose marks on stuff like this, and because my methods teacher is completely useless, all I have is AN and I hope someone can assist me with this.

Many thanks
Title: Re: Exam-Specific Questions
Post by: Orb on August 22, 2015, 10:44:00 pm
For the question attached, I worked with decimals the whole way but the assesors report had their answers in fractions, why? Would my decimal answers suffice? (They don't even say what form to answer in..)

Also, because of my continuous use of decimals for this question, I found it incredibly impossible to answer b iii and iv but the assessors report had it simply in fractions and were easily able to find the answer. My main question for this is, when do we know it is more appropiate and useful to use fractions over decimals? And vice versa? I always seem to lose marks on stuff like this, and because my methods teacher is completely useless, all I have is AN and I hope someone can assist me with this.

Many thanks

VCAA will always tell you whether to express it in exact form or to how many decimal places. Don't worry about it :)
Title: Re: Exam-Specific Questions
Post by: cosine on August 22, 2015, 10:48:08 pm
VCAA will always tell you whether to express it in exact form or to how many decimal places. Don't worry about it :)

Thank you for the reply hamo94, but for my above question, the use of decimals would not lead to the correct answer, honesty. You can even try it for yourself, the assessors report use fractions, which (i converted on my calc) equal to the same decimals I had. But their fractions were able to simplify and get a nice answer, whereas I left mine in a really messy and not equivalent form... Just a bit confused, why did the assessors report use fractions? How could I have known to use fractions? (in this example, they did not specify whether they want decimals or fractions, hence my confusion..) This is 2006 VCAA exam 2.

Many thanks

Title: Re: Exam-Specific Questions
Post by: pi on August 22, 2015, 11:00:35 pm
You should always use fractions (or decimal equivalent, I'm talking like 15 decimal places or something haha) for all intermediate steps in a problem. I personally used fractions on my CAS for the whole way until the last step if it asked for decimal points. Even if the fraction is ugly, it will only take a few extra seconds to write it down.
Title: Re: Exam-Specific Questions
Post by: keltingmeith on August 22, 2015, 11:13:03 pm
Thank you for the reply hamo94, but for my above question, the use of decimals would not lead to the correct answer, honesty. You can even try it for yourself, the assessors report use fractions, which (i converted on my calc) equal to the same decimals I had. But their fractions were able to simplify and get a nice answer, whereas I left mine in a really messy and not equivalent form... Just a bit confused, why did the assessors report use fractions? How could I have known to use fractions? (in this example, they did not specify whether they want decimals or fractions, hence my confusion..) This is 2006 VCAA exam 2.

Many thanks
Either or should've worked. If using decimals for you the wrong way, you need to work on your converting ability. Or, as pi suggested, just use fractions.
Title: Re: Exam-Specific Questions
Post by: cosine on August 22, 2015, 11:24:08 pm
Either or should've worked. If using decimals for you the wrong way, you need to work on your converting ability. Or, as pi suggested, just use fractions.

Thank you for the feedback, that is something new I learnt, try to use fractions over decimals and I will upload my answers tomorrow for that specific question tomorrow so we can see what I am doing wrong...

Also, if it says to two decimal places, and the answer is a whole number like 1, do we need to state 1.00 or would simply 1 suffice?
Title: Re: Exam-Specific Questions
Post by: IndefatigableLover on August 23, 2015, 12:02:27 am
Thank you for the feedback, that is something new I learnt, try to use fractions over decimals and I will upload my answers tomorrow for that specific question tomorrow so we can see what I am doing wrong...

Also, if it says to two decimal places, and the answer is a whole number like 1, do we need to state 1.00 or would simply 1 suffice?
You'll get zero if you don't specify to the number of decimal places needed so yes do state it as 1.00 rather than 1 if it is to two decimal places.
Title: Re: Exam-Specific Questions
Post by: cosine on August 23, 2015, 08:25:57 am
For question 4 of above, the train question: I was working with decimals and so all my answers leading up would use the same decimals:

4bii). q =

4biii).

I sub in q= to get:



Can someone, using my value of q please solve this for me? (Find a in terms of p)

Title: Re: Exam-Specific Questions
Post by: cosine on August 24, 2015, 11:02:30 pm
For question 4 of above, the train question: I was working with decimals and so all my answers leading up would use the same decimals:

4bii). q =

4biii).

I sub in q= to get:



Can someone, using my value of q please solve this for me? (Find a in terms of p)

Haha can anyone answer me?
Title: Re: Exam-Specific Questions
Post by: cosine on August 24, 2015, 11:03:47 pm
Guys this isn't an overly hard question, but I actually cannot seem to get the solution as exact value on my calculator, it always comes in as decimals... Im not sure why, any assistance is greatly appreciated.
Title: Re: Exam-Specific Questions
Post by: cosine on August 25, 2015, 05:26:49 pm
Guys this isn't an overly hard question, but I actually cannot seem to get the solution as exact value on my calculator, it always comes in as decimals... Im not sure why, any assistance is greatly appreciated.

Can someone reply, please..?
Title: Re: Exam-Specific Questions
Post by: bills on August 25, 2015, 07:57:28 pm
Can someone reply, please..?

Seems fine to me. What calculator are you using?
Title: Re: Exam-Specific Questions
Post by: cosine on August 25, 2015, 08:31:03 pm
Seems fine to me. What calculator are you using?

I have the TI-89 Titanium vs. TI-Nspire CX CAS

It just gives it to me in decimals and Im not sure why.. :/
Title: Re: Exam-Specific Questions
Post by: bills on August 25, 2015, 08:46:32 pm
I have the TI-89 Titanium vs. TI-Nspire CX CAS

It just gives it to me in decimals and Im not sure why.. :/

First off, I have the Classpad 330 so this might be a little different to your calculator. I'm assuming you're graphing the function and finding the x-intercepts from there? If you are, try this instead:

Go to the "Main" function of the calculator and define the function as f(x). Then, let f(x) = 0 and restrict the domain using the | key and solve for x.
Title: Re: Exam-Specific Questions
Post by: cosine on August 25, 2015, 09:33:48 pm
First off, I have the Classpad 330 so this might be a little different to your calculator. I'm assuming you're graphing the function and finding the x-intercepts from there? If you are, try this instead:

Go to the "Main" function of the calculator and define the function as f(x). Then, let f(x) = 0 and restrict the domain using the | key and solve for x.

Apologies for being a noob, but how do I define a function on the calculator?

Many thanks for the help, bills :)
Title: Re: Exam-Specific Questions
Post by: keltingmeith on August 25, 2015, 09:34:56 pm
Apologies for being a noob, but how do I define a function on the calculator?

Many thanks for the help, bills :)
For TI-nspire, Define f(x)=function
Title: Re: Exam-Specific Questions
Post by: cosine on August 25, 2015, 09:44:31 pm
Thanks guys, but how do I get the derivative of |sin(x)(sin(x)-cos(x)|??