VCE Methods Question Thread!

[Eric11267]

what's the domain of the inverse of loge(1-x^2)?

The ans says (-infinity, 0] but I got [0, loge20)?

The domain of the inverse is the same as the range of the original.
The range of 1-x² is [-infinity,0]. But the inside of a logarithm cannot be negative so the range of values inside the log function is (0,1]. When x=1 y=0 and when x approahes 0 y approaches negative infinity.

[chantelle.salisbury]

my school have supplied a whole heap of prac exams incl. NEAP, MAV, Engage, Insight and TSSM. as well as the vcaa ones.
was wondering whether there are any recommendations on which are better to do first/last, easier, harder, different, not amazing, totally foolproof etc etc ?
also if im not sure whether i will complete them all, which ones to do as priority? (i have began but this will help greatly)
thankyou in advance

[Sine]

my school have supplied a whole heap of prac exams incl. NEAP, MAV, Engage, Insight and TSSM. as well as the vcaa ones.
was wondering whether there are any recommendations on which are better to do first/last, easier, harder, different, not amazing, totally foolproof etc etc ?
also if im not sure whether i will complete them all, which ones to do as priority? (i have began but this will help greatly)
thankyou in advance

depends on your strength tbh but 100% stay away from engage they are just a waste of time the questions are way too simplistic.

Make sure that you have time to finish all the vcaa past exams as they will obviously be the indicative of what you will get on the actual exam. If you haven't started vcaa exams definitely start doing them now once you have 1-2 could leave them for the last week if you get to that stage.

Neap and MAV are the best exams but insight is also very good but a tad on the easy side I never found tssm exams that good usually very easy.

[saumhya]

I'm ready to TT it up.

I am stuck with past vcca maths methods CAS question .it is the last question(extended response(5c)
 "Find the set of possible values of d such that the minimum value of the function occurs
when t = 0."
i get d=20/3 but i dont get set of possible values. please help

[Eric11267]

I am stuck with past vcca maths methods CAS question .it is the last question(extended response(5c)
 "Find the set of possible values of d such that the minimum value of the function occurs
when t = 0."
i get d=20/3 but i dont get set of possible values. please help

The minmum value of the function does not necessarily have to occur at a turning point if the domain is restricted. If the turning point of the graph is outside the domain of the function, then the minimum will occur at one of the endpoints. You have to take this into consideration to find the range of values

[Sigma]

NEAP is the hardest and VCAA is recommended to do last as it is the most similar.

[Bri MT]

The minmum value of the function does not necessarily have to occur at a turning point if the domain is restricted. If the turning point of the graph is outside the domain of the function, then the minimum will occur at one of the endpoints. You have to take this into consideration to find the range of values

Note that even if a stationary point isn't outside the restricted domain it isn't necessarily the max e.g x^3 has a stationary point at 0,0 but the range isn't bounded by 0

[clarke54321]

Are related rates examinable in the new study design?

[VanillaRice]

Are related rates examinable in the new study design?

Nope

[Rieko Ioane]

Hi,

For Part ii) https://imgur.com/a/9IJKE is there any chance VCAA will accept my answer? This is what the calculator gives me but I'm not sure if this is calculator notation or not.

It didn't cross my mind to split this in to a hybrid function...and this is VCAA 2009 btw.

[VanillaRice]

Hi,

For Part ii) https://imgur.com/a/9IJKE is there any chance VCAA will accept my answer? This is what the calculator gives me but I'm not sure if this is calculator notation or not.

It didn't cross my mind to split this in to a hybrid function...and this is VCAA 2009 btw.

What you've written is the absolute value of x, which is not calculator notation. If you haven't come across this before, it means all values within the two lines are always positive. Absolute value was in the study design in 2009, so would be acceptable in this case. I'd be very surprised if they took a mark off if you used it for the current design, but since absolute value has been removed, it is unlikely you will have a question or answer which uses it.

Hope this helps

EDIT: It looks like I looked at the wrong part of the image you linked - check out my post below

[Angelx001]

Suppose that 80% of all 16 year olds play basketball. If a sample of size 4 is taken find the
probability that the sample proportion lies within and including one standard deviation of the
population proportion.

Is p hat = 0.8 or p = 0.8???

From MAV 2016 Question 9! Thanks!

[Eric11267]

Hi,

For Part ii) https://imgur.com/a/9IJKE is there any chance VCAA will accept my answer? This is what the calculator gives me but I'm not sure if this is calculator notation or not.

It didn't cross my mind to split this in to a hybrid function...and this is VCAA 2009 btw.

I don't think VCAA accept sign(x), but I doubt it would come up in this years exam.

[VanillaRice]

Suppose that 80% of all 16 year olds play basketball. If a sample of size 4 is taken find the
probability that the sample proportion lies within and including one standard deviation of the
population proportion.

Is p hat = 0.8 or p = 0.8???

From MAV 2016 Question 9! Thanks!

Recall the definition of P hat = X/n. It is the proportion of people/objects in your sample that have what you want. In this question, X=number of people who play basketball in the sample, and n= the number of people in the same (which is 4).

Also recall the expected value of p hat, E(P hat) = p, where p is the proportion of people who play basketball in the population. So, p = 0.8.

Hope this helps

Hi,

For Part ii) https://imgur.com/a/9IJKE is there any chance VCAA will accept my answer? This is what the calculator gives me but I'm not sure if this is calculator notation or not.

It didn't cross my mind to split this in to a hybrid function...and this is VCAA 2009 btw.

I don't think VCAA accept sign(x), but I doubt it would come up in this years exam.

Oops thanks Eric, didn't see that (thought the question was referring to the absolute value notation)! The sign function can be thought of a function on its own, much like tan(x). In saying that, I wouldn't say its exclusively calculator notation.

But like has been said, unlikely this will come up on an exam

[Angelx001]

Recall the definition of p hat = X/n. It is the proportion of people/objects in your sample that have what you want. In this question, X=number of people who play basketball in the sample, and n= the number of people in the same (which is 4).

Also recall the expected value of p hat, E(p hat) = p, where p is the proportion of people who play basketball in the population. So, p = 0.8.

Thanks for your reply @VanillaRice!! For the solutions, MAV said p hat = 0.8 :/ (image attached)