VCE Methods Question Thread!

[sailinginwater]

It's stated at the beginning of the question that 5/2 ≤ u ≤ 6.

So does that mean that in order to prove that a point is a maximum or minumum we need to substitute each of the endpoints in the equation?

[Sine]

So does that mean that in order to prove that a point is a maximum or minumum we need to substitute each of the endpoints in the equation?

yes always check end point for max/min since they will not necessarily come up using the derivative = 0 test.

[S_R_K]

yes always check end point for max/min since they will not necessarily come up using the derivative = 0 test.

Just to add to this:

Any function that is one-to-one over an interval [a, b] will have its maximum / minimum at one of its endpoints. This can be useful to know, since it means that in some cases it is unnecessary to check stationary points.

(Of course, it is not always obvious if the function is one-to-one, but some cases should be known off the top of your head, like linear functions, exponential functions, logarithmic functions, polynomial functions of the form a(x – h)^n + k, where n is odd).

[sailinginwater]

Are the below things the only assumed knowledge from unit 1/2 probability?
Karnaugh tables
Mutually exclusive events
Independent events

[S_R_K]

Are the below things the only assumed knowledge from unit 1/2 probability?
Karnaugh tables
Mutually exclusive events
Independent events

Everything from Units 1 & 2 is assumed knowledge.

[sailinginwater]

Everything from Units 1 & 2 is assumed knowledge.

So even Venn diagrams and ncr combinatorics are assumed knowledge?
I've never seen them in any vcaa or company exams.

[Lear]

I have seen tons of Venn diagram and combinatorics questions...
Just look at Last year's exam 1 Question 8
And Exam 2 question 3f

[sailinginwater]

I have seen tons of Venn diagram and combinatorics questions...
Just look at Last year's exam 1 Question 8
And Exam 2 question 3f

Exam 1 question 8 was karnaugh table
And exam 2 question 3f was binomial

[Lear]

Exam 1 question 8 was karnaugh table

Which has the alternative method of a venn diagram. I know many that use that method.

And exam 2 question 3f was binomial

Which requires ncr combinatorics and this can especially be tested in exam 1.

[sailinginwater]

Which has the alternative method of a venn diagram. I know many that use that method.
Which requires ncr combinatorics and this can especially be tested in exam 1.

Will the karnaugh table also work?
Can someone please explain how to do question 10a and 10b of the 2015 methods exam 1?
I don't know where to start with the question

[S_R_K]

Just a general point: it is a false economy to try to justify ignoring some parts of the Methods course, by thinking that they won't be asked about on the exam. This is for a few reasons.

1. Anything on the study design can appear on the exam, so you can be setting yourself up for a nasty surprise.
2. You'll end up spending a whole lot of time doing "meta" work, rather than doing the real work of building your maths skills.
3. The Methods course is highly interconnected, and your understanding of one part of the course will benefit your understanding of the other parts of the course.

[Lear]

Will the karnaugh table also work?
Can someone please explain how to do question 10a and 10b of the 2015 methods exam 1?
I don't know where to start with the question

You know the circle's radius is 2. You can set up a right angled triangle between CT and the x axis and then use trig,

[sailinginwater]

You know the circle's radius is 2. You can set up a right angled triangle between CT and the x axis and then use trig,

I don't really understand your explanation, is it possible for you to give an example please?

[Lear]

https://imgur.com/a/ilmxE6x

You need to find the lengths of orange and green to go on to find coordinates.

[minhalgill]

In VCAA 2015 Q4 (d)(i)
why have they integrated it from pi to 0? how do we know where we're supposed to integrate it from?