VCE Methods Question Thread!

[Rishi97]

Put in f(x), put in g(x) and then put in f+g (x). Graph all three

Are you talking about the TI-nspire CX ? I'm not sure how to assign different variables to each function

[IndefatigableLover]

Are you talking about the TI-nspire CX ? I'm not sure how to assign different variables to each function

If you have a TI-nspire then the same functions still hold. Basically you could just go 'Define f(x) = ____' and 'Define g(x) = ____'
([Menu][1][1]) and then on the keyboard you can just type in (f+g)x into 'Calculator' and you'll get another equation which happens to just be f(x) & g(x) added.  From there you can just copy all three equations into the graph part and graph each one to see

But if it's on the Casio then somebody else can talk you through it (only have the TI-nspire)

[Jawnle]

For Transformations with matrices:
If I'm going from a Transformed (image) equation to it's original equation, do I sub in x' and y' into the transformed equation to find my original equation?
And If I'm going from an original equation to a transformed(image) equation, do I sub in x and y into the original equation to find my transformed equation?

[Orb]

For Transformations with matrices:
If I'm going from a Transformed (image) equation to it's original equation, do I sub in x' and y' into the transformed equation to find my original equation?
And If I'm going from an original equation to a transformed(image) equation, do I sub in x and y into the original equation to find my transformed equation?

It's generally

complex to simple: don't sub x'

simple to complex: sub x'

[Jawnle]

It's generally

complex to simple: don't sub x'

simple to complex: sub x'

What exactly do you mean by complex and simple? Could you provide examples?

[Jawnle]

It's generally

complex to simple: don't sub x'

simple to complex: sub x'

For example:
y = x^3-4x into y= -2x^3 + 8x -1

which is the simple and complex?

[Orb]

For example:
y = x^3-4x into y= -2x^3 + 8x -1

which is the simple and complex?

Let's say you have y = x^2, and you want to map it to y = 3(x-5)^2 + 9

x^2 is the simple

3(x-5)^2 + 9 is the complex

In your earlier case, the first one is the simple and the second is the complex

[wildareal]

Reginaldo the Rabbit wants to visit his Spanish Rabbit Friend Guillermo. There is a direct Road to Guillermo, but it is impassable about 50% of the time due to flooding. An alternative route passes through a third location at the waterfall (W). Suppose the road to the waterfall is passable 75% of the time, while the road from the waterfall to Guillermo is passable 70% of the time. Also from past experience, if the road from Reginaldo to the Waterfall is passable, then the road from the Waterfall to Guillermo is passable 80% of the time, and if the route from Reginaldo ® to the waterfall (W) to Guillermo (G) is passable, then the direct route from Reginaldo ® to Guillermo (G) also has an 80% chance of being passable.

a)   State the information given in probability notation
b)   What is the probability that Reginaldo ® can get to Guillermo (G)?
c)   Reginaldo travels from his home ®  to Guillermo (G) and stays overnight. During the night, rain makes the road impassable from Reginaldo’s house to Guillermo’s. What is the probability that Reginaldo’s brother who is at the waterfall, can still get from the waterfall (W) to Guillermo (G)?

[lzxnl]

You can prove that if k >= whatever value you get, you never get a stationary point and that your function is constantly decreasing. This means that it's fastest for Tasmania Jones to then run directly from his camp towards the desalination plant, even though that x value does not correspond to a stationary point. Remember how a decreasing function has its global minimum at its right endpoint? It's that idea.

[IndefatigableLover]

How often or does the Binomial Theorem come up on the end of year exam?

So for example these type of questions:





(And no I don't need these questions worked out since these are just examples from Maths Quest)

[Zealous]

How often or does the Binomial Theorem come up on the end of year exam?

So for example these type of questions:





(And no I don't need these questions worked out since these are just examples from Maths Quest)

I don't even know it =p

My teacher told my class skip 1A from MathsQuest (never ended learning it) and I've never seen a question on it in the fair few practice exams I did. I'd say it's something useful to know, but don't put heaps of attention on it because I'm sure VCAA is interested in testing your knowledge in more important areas of Methods.

[IndefatigableLover]

I don't even know it =p

My teacher told my class skip 1A from MathsQuest (never ended learning it) and I've never seen a question on it in the fair few practice exams I did. I'd say it's something useful to know, but don't put heaps of attention on it because I'm sure VCAA is interested in testing your knowledge in more important areas of Methods.

It's just because my school uses Essentials but I cross-check with Maths Quest if I have the chance (during the holidays really) and I came across it and yeah.. didn't find it really interesting LOL

But thanks for that Zealous!

[alchemy]

How often or does the Binomial Theorem come up on the end of year exam?

So for example these type of questions:





(And no I don't need these questions worked out since these are just examples from Maths Quest)

You can use Pascal's triangle for that. It's not taught in VCE however...Just have a read of expansion using the Pascal's triangle method  (:

[IndefatigableLover]

You can use Pascal's triangle for that. It's not taught in VCE however...Just have a read of expansion using the Pascal's triangle method  (:

Haha I know how to solve them but it just gets repetitive I guess.. but thanks for the heads up alchemy!

[Toki]

Hi guys, how would you solve this equation

F(x)=2cos(n(x+y))
Solve for n,y using these given points
(pi/3,0) (2pi,0)



Thanks