VCE General & Further Maths Question Thread!

[mondray]

I did further last year and a friend asked me for help today. Unfortunately I completely forgot how to work things out. I would appreciate it if someone could help me out with this so I can forward it to my friend. Thanks in advance!

[StupidProdigy]

I did further last year and a friend asked me for help today. Unfortunately I completely forgot how to work things out. I would appreciate it if someone could help me out with this so I can forward it to my friend. Thanks in advance!

My dodgy attempt...
Volume ratio is Vy:3.375Vx    where Vy is the volume of y and Vx the volume of x
==> linear scale ratio is Ly:((3.375)^1/3)Lx   where Ly is the length of y as a ratio to the length of x
For area scale factor, square the linear scale factor ===> (1.5)^2=2.25
Therefore tsa of x is 13.95/2.25 = 6.2units^2

[Mikyt3]

Help please

[bills]

Help please

Therefore, the answer is A. (I hope that was right, haven't did matrices for ages)

[MightyBeh]

Therefore, the answer is A. (I hope that was right, haven't did matrices for ages)

Damn, beat me to it. It's right though

In general:

Where A, X and B are matrices.

As A^-1A = I (identity matrix), you get:

[Adiamond]

If we are asked to use a percentage value in a question (e.g. The organisation had 62% of the market share) and the question was asking us for the initial state matrix, would the matrix need to be in the decimal or integer form (e.g. 0.62 or 62)?

[BakedDwarf]

If we are asked to use a percentage value in a question (e.g. The organisation had 62% of the market share) and the question was asking us for the initial state matrix, would the matrix need to be in the decimal or integer form (e.g. 0.62 or 62)?

decimal form

[Adiamond]

decimal form

Thank you

[MightyBeh]

decimal form

Worth mentioning that sometimes they might refer to it as a 'proportion'. It came up in my SAC, and I think a few (company) practice exams.

[@#035;3]

Could someone tell me how to do q9 in 2010 VCAA exam 1?
Your help would be very appreciated

Oh... and does anyone have the solutions to the 2011 neap FM exam 1. I got this exam from Practice Exams - Where to get them for free? So please don't lock my post..

[MightyBeh]

Could someone tell me how to do q9 in 2010 VCAA exam 1?
Your help would be very appreciated

Assuming that you mean the Core, here's how I did it:


Have a look at this for a second. There's a couple of notable patterns in relation to the points and the regression line:
1. Just left of 24cm, there are two dots that are vertically in line, below the regression line.
2. The second last point on the graph is significantly more distant from the regression line from the others, and is positive.
3. the first point is close to and above the regression line.

That should be more than enough information to eliminate to find our answer, like so:


Edit: Whoops, made a mistake. D doesn't match criteria 2 or 3, it does match 1. Likewise, E does match criteria one and instead does not match criteria 3. The answer is still B though

[@#035;3]

Thanks so much!

[@#035;3]

Need help with Q8 Linear Relations FM 2013 exam 1. And also Q9 Linear Relations FM 2010 VCAA exam 1.
Your help would be very appreciated!

[MightyBeh]

Need help with Q8 Linear Relations FM 2013 exam 1. And also Q9 Linear Relations FM 2010 VCAA exam 1.
Your help would be very appreciated!

Too lazy to put a picture in, sorry!

This one was actually kind of tough - I checked out the examiner's report and the itute solutions and neither of them really gave a clear, step by step explanation on how to do the question - although itute was a bit better than the VCAA.

Because Z is maximised at the points M and N, we can say that Z(m) and Z(n) are equal. For that to make much sense though, we need to know the coordinates of M and N. They're pretty clear on the graph as long as you work out the the interval is 5 (and maybe have a ruler to double check your points line up) but if you really wanted to you could set up some simultaneous equations to find them, too.

In any case, the coordinates of M and N are (20,50) and (45,25) respectively. We can set up two equations/functions for Z with this information:
(M)
(N)

Because we know Z has to be equal for both M and N to find a and b, we can quickly throw out some of the options that would give us something ridiculous - this means we don't have to worry about either of the options with negative values (A, E) and can probably get away without checking that D fits our rules because the numbers are pretty different to A, B and C. (Note: With multiple choice questions, you can usually eliminate two options after reading the question or minimal working out: in this case it was D and E)

So that leaves us with option B and option C to check, like so:
B.
B.
We can already see that these are equal (and therefore, B is the answer), but let's check C to be sure we haven't messed up somewhere:
C.
C.

So B is our answer - of course some of the constraints I set were maybe a little too general (option A could've probably been a reasonable choice) but in the end, there's only five equations to check so realistically you probably wouldn't need to set any at all. Hope that was helpful

[StupidProdigy]

For a residual plot, does the x-axis scale remain the same and the y scale changes? thanks