Whether you would lose marks or not, I don't know - but, asymptotes only occur as x and y go to infinity. The restriction on t isn't important, but how it affects y and x is.

Alright thanks. So the asymptote is a bit redundant since there is no graph 'using' it, pretty much?

Also, could someone help with MCQ6 VCAA 2013 E2?
I know that this question was dodgy, but how do you do it properly to get 3 intervals of Arg(z)?

Alright thanks. So the asymptote is a bit redundant since there is no graph 'using' it, pretty much?

Also, could someone help with MCQ6 VCAA 2013 E2?
I know that this question was dodgy, but how do you do it properly to get 3 intervals of Arg(z)?

Okay so Arg(z^3) is the second quadrant so
Arg(z^3)ϵ(π/2,π)
From this you can say that
arg(z^3)ϵ(π/2,π)U(-π,-3π/2)U(5π/2,3π) and so on but I'll stop it at three because these are the only relevant ones
With DeMoivre's theorem, you can just divide these intervals by three
Arg(z)ϵ(π/6,π/3)U(-π/6,-π/2)U(5π/6,π)
Any other interval apart from these three are discounted as the principle argument is required

Okay so Arg(z^3) is the second quadrant so
Arg(z^3)ϵ(π/2,π)
From this you can say that
arg(z^3)ϵ(π/2,π)U(-π,-3π/2)U(5π/2,3π) and so on but I'll stop it at three because these are the only relevant ones
With DeMoivre's theorem, you can just divide these intervals by three
Arg(z)ϵ(π/6,π/3)U(-π/6,-π/2)U(5π/6,π)
Any other interval apart from these three are discounted as the principle argument is required

Thanks.

For your fourth line, how did you know we can do this? (As in getting 3 intervals, I'm pretty clueless on what happened here).

Thanks.

For your fourth line, how did you know we can do this? (As in getting 3 intervals, I'm pretty clueless on what happened here).

Well technically there are an infinite number of intervals, I just chose the three that would yield the answer.
Basically I just grabbed the interval of (π/2,π) then added and subtracted 2π from it, which gives technically gives you the same interval, but without the principal argument.
So (π/2,π) is the same as (5π/2,3π) if you think of it in terms of a circle, its just adding another 360 degrees.
Then when you divide by three, you would get (5π/6,π) which would be a valid solution since it is between -π and π.

Is question5 in the sample 2016 exam 1 wrong?

Also when it says magnitude of force, can i  not leave my answer in terms of g?

also, when im drawing a graph, call it f(x). in the graph do i have to label it f(x) or not??

Hey Guys
For this question, just wondering why we can't use the var(aX+bY) = a^2Var(x) + b^2Var(Y) but use the Var(x1+x2....) method instead?

Is question5 in the sample 2016 exam 1 wrong?

Also when it says magnitude of force, can i  not leave my answer in terms of g?

also, when im drawing a graph, call it f(x). in the graph do i have to label it f(x) or not??

- What part of the question do you think is wrong? Did you get a different answer to what was suggested?

- I don't see anything wrong with leaving g in your answer, and I haven't seen it mentioned in any examiner's reports (which leads me to think it doesn't matter whether or not you left it). Unless you've seen it be mentioned somewhere?

- It's always good practise in mathematics to label your graphs , even if it's just y = f(x). If the question says "Sketch y = f(x) below", then it probably wouldn't matter too much, but I would still label it just to be safe

Hey Guys
For this question, just wondering why we can't use the var(aX+bY) = a^2Var(x) + b^2Var(Y) but use the Var(x1+x2....) method instead?

In my opinion, it's not too clearly stated, but I think the question wants you to assume that the masses of each lemon/orange was independent i.e. they were randomly selected, one by one.

Hope this helps

Hi
What is the difference between verify and show that questions?
Thank you

Hi
What is the difference between verify and show that questions?
Thank you

Verify= sub into equation to show result
Show= derive the given equation

Also for questions that ask for force, can we leave it in terms of g? I know its been asked above, but want to be absolutely sure cus the vcaa reports never have teh answer in terms of g

Verify= sub into equation to show result
Show= derive the given equation

Also for questions that ask for force, can we leave it in terms of g? I know its been asked above, but want to be absolutely sure cus the vcaa reports never have teh answer in terms of g

leaving your answers in terms of g should be fine but if it's in a multiple of 5, you should be able to expand it out to get a whole number

hey guys, for the 2007 specialist exam 2 question 4c) where you have to find the angle from the runway where the aircraft lands, why is the velocity vector used rather than the position vector? i'm a bit confused 

hey guys, for the 2007 specialist exam 2 question 4c) where you have to find the angle from the runway where the aircraft lands, why is the velocity vector used rather than the position vector? i'm a bit confused 

The direction of motion is given the velocity vector (whilst its magnitude gives its speed). The positon vector tells us about the displacement (and distance if required).

my assumption was that i could use the position of where it lands to calculate the angle, why is the direction of motion required to find the angle?

How do you guys do the multiple choice quickly for exam 2? It takes me way longer than it should, and I dont know what Im doing wrong.

Hey guys could I please get some help with two questions from the 2017 NHT Spesh Exam 2:

Exam: http://www.vcaa.vic.edu.au/Documents/exams/mathematics/2017/nht/2017SM2-nht-w.pdf

Answers: http://www.vcaa.vic.edu.au/Documents/exams/mathematics/2017/nht/sm2nht_examrep17.pdf

I'm having trouble with Qs 2 part D and Qs 3 Part D, I have no idea how to approach these two 

Thanks in advance!