VCE Specialist 3/4 Question Thread!

[random_person]

Another question:

Spoiler

With what reasoning can I eliminate option D?

The slope field shows that But, when , which is not what the slope field shows.

[barydos]

The slope field shows that But, when , which is not what the slope field shows.

Woops! I meant, how can I eliminate option E. I've edited my previous post now.

[Alwin]

Edit:
Another question:

Spoiler

With what reasoning can I eliminate option E?

Consider if:


The gradient at x = 1 does not appear to be 16 2, so we reject this option because looks like m=1

EDIT: that was awkard, but hope you get the idea lol. ty random_person

[random_person]

Consider if:


The gradient at x = 1 does not appear to be 16, so we reject this option because looks like m=1

   ??

[barydos]

Ahh alright thanks!

Here's another (they just keep coming..)
for: or .
Is the best way to know where to shade the graph to just test a co-ordinate?

[Stevensmay]

Here's another (they just keep coming..)
for: or .
Is the best way to know where to shade the graph to just test a co-ordinate?

Generally is the quickest and easiest yes. (1,1) or even (0,0) are very simple to test.

[random_person]

Ahh alright thanks!

Here's another (they just keep coming..)
for: or .
Is the best way to know where to shade the graph to just test a co-ordinate?

for , shade below the hyperbola because we need all y values less than
Other way around for 
(Shading is the required region)

[barydos]

for , shade below the hyperbola because we need all y values less than
Other way around for 
(Shading is the required region)

So like below rather than "inside", and above rather than "outside"?

[random_person]

So like below rather than "inside", and above rather than "outside"?

Yes, shade below the graph. in the example it would look like this:

[barydos]

Yes, shade below the graph. in the example it would look like this:

Thanks a lot, good pic haha

[random_person]

Thanks a lot, good pic haha

Oops haha the other one was wrong, it should have been less than or equal to. I just did less than.

[ahat]

Are there any detailed solutions to the itute trial exam papers? Btw, do you guys find them challenging? (doing the 2011 one)

[~T]

Insight 2012 Exam 2, question 2g. Asks to find the times when three points form an isosceles triangle with equal sides of 5km. I found all the correct times, but the solutions say that there is a mark for showing that in each case, the third side doesn't also equal 5km.

It seems they're making sure that it is not an equilateral triangle, but surely an equilateral is a specific case of an isosceles, just like how a square is a specific case in the family of rectangles. Are they right or am I?

[Stevensmay]

It seems they're making sure that it is not an equilateral triangle, but surely an equilateral is a specific case of an isosceles, just like how a square is a specific case in the family of rectangles. Are they right or am I?

The problem is there are slightly different versions of isosceles.

Princeton Wordnet: isosceles triangle (a triangle with two equal sides)
Merriam-Webster: of a triangle :  having two equal sides

But then if we look at the more mathematical specific resources we get 'a triangle with at least two equal sides.'

I would say you are correct, but VCAA would generally remove all ambiguity with their questions.

[ahat]

Is this just something I should know?

MC 13 for reference  http://www.itute.com/wp-content/uploads/2011-specialist-mathematics-trial-exam-2v2.pdf