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March 28, 2024, 08:39:10 pm

Author Topic: VCE Specialist 3/4 Question Thread!  (Read 2164157 times)  Share 

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TrueTears

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Re: Specialist 3/4 Question Thread!
« Reply #960 on: December 07, 2012, 05:47:13 pm »
0
Hint: Rearrange like this:

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Stick

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Re: Specialist 3/4 Question Thread!
« Reply #961 on: December 07, 2012, 05:48:16 pm »
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I won't tell you how to do it exactly, but for hyperbolae with the general form , the asymptotes are given by . :)
« Last Edit: December 07, 2012, 05:52:05 pm by Stick »
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Re: Specialist 3/4 Question Thread!
« Reply #962 on: December 07, 2012, 05:51:19 pm »
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I won't tell you how to do it exactly, but for hyperbolae with the general form , the asymptotes are given by . :)
Remember that will be an ellipse, a hyperbola will have the form or 
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Re: Specialist 3/4 Question Thread!
« Reply #963 on: December 07, 2012, 05:51:55 pm »
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Whoops, that was a typo. :P
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Homer

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Re: Specialist 3/4 Question Thread!
« Reply #964 on: December 07, 2012, 06:01:55 pm »
+1
Hint: Rearrange like this:



Thats what I initially thought, and I got a answer of

 
but the answer behind the book is
« Last Edit: December 07, 2012, 06:03:27 pm by Jai »
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Re: Specialist 3/4 Question Thread!
« Reply #965 on: December 07, 2012, 06:19:58 pm »
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Thats what I initially thought, and I got a answer of

 
but the answer behind the book is

The answer should be , which I think is what you worked it out to be?

They're supposed to have if they have it in that form rather than
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Re: Specialist 3/4 Question Thread!
« Reply #966 on: December 07, 2012, 06:21:04 pm »
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Are we expected to sketch Inverse circular & reciprocal circular functions by hand (like including transformed functions)? If so, then how frequently do these types of  questions appear on exams?
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Re: Specialist 3/4 Question Thread!
« Reply #967 on: December 07, 2012, 06:28:35 pm »
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Are we expected to sketch Inverse circular & reciprocal circular functions by hand (like including transformed functions)? If so, then how frequently do these types of  questions appear on exams?
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Yes. Quite often there'll probably at least be an inverse one, and you probably can't rule out the reciprocal ones either. e.g. it's something you can't ignore, there's no reason that it couldn't come up on an exam and you probably do need to know how to do it.

With the reciprocal ones, if you get stuck, just treat it like sketching any other reciprocal function to figure it out. You probably would want to remember what they look like in your head anyway, it can make certain questions easier if you have a visual picture of what's going on in your head.

For the inverse ones, you can treat it like sketching any other function - know the basic form and then apply the transformations.

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Re: Specialist 3/4 Question Thread!
« Reply #968 on: December 07, 2012, 08:14:51 pm »
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Reciprocal circular functions can get a bit tricky so spend a bit of extra time and draw the regular graph first. You probably won't need to do this for inverse graphs though. :)
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Re: Specialist 3/4 Question Thread!
« Reply #969 on: December 07, 2012, 11:52:03 pm »
+1
I don't think you need to draw the regular graph for reciprocal circular functions. There are enough exercises in books to practice sketching them thinking of them as y=sec(x) or whatever.

For normal reciprocal graphs (y=1/f(x)) I'd dot the outline of f(x) first of course :)

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Re: Specialist 3/4 Question Thread!
« Reply #970 on: December 08, 2012, 09:49:15 am »
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I don't know, I tend to draw the curves incorrectly for sec and cosec (ie everything is opposite what it should be). I find taking a few extra seconds to draw the regular graph helpful, but then again, I haven't practiced it too much and I will probably get better with time. :)
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Re: Specialist 3/4 Question Thread!
« Reply #971 on: December 08, 2012, 11:55:54 am »
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What do you guys think is the most challenging part of the spesh. course?
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Re: Specialist 3/4 Question Thread!
« Reply #972 on: December 08, 2012, 01:20:41 pm »
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What do you guys think is the most challenging part of the spesh. course?

Personally: nothing in particular... I find that in every area of the course, the more advanced questions can be really challenging. In terms of the mundane theory work, nothing is too hard imo.
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Re: Specialist 3/4 Question Thread!
« Reply #973 on: December 08, 2012, 01:23:42 pm »
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What do you guys think is the most challenging part of the spesh. course?

Found some areas of vectors to be the most challenging. Vector proofs didn't do down so well with me.

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Re: Specialist 3/4 Question Thread!
« Reply #974 on: December 08, 2012, 01:32:10 pm »
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Probably differential equation slope fields and some of the more advanced areas of complex numbers

(also agree with pi re vector proofs)
« Last Edit: December 08, 2012, 01:34:12 pm by argonaut »