VCE Methods Question Thread!

[cosine]

If a question asks us to graph two functions on the same set of axes, are we required to label the intersection or unless we are asked?

[grannysmith]

If a question asks us to graph two functions on the same set of axes, are we required to label the intersection or unless we are asked?

Only mandatory if you're asked specifically, I think.

[knightrider]

The way I think about it, is that the RATIO of two logarithms is always the same, regardless of the base. In terms of equations:



So, if we have a single logarithm by itself, say , this is the same as , since . So, this means that if we were to change to base e:



If you're looking for a proper proof, see here.

Thanks eulerfan101

[Callum@1373]

The polynomial P(x) has a remainder 2 when divided by x-1 and a remainder of 3 when divided by x-2. The remainder when P(x) is divided by (x-1)(x-2) is ax + b, i.e P(x) = (x-1)(x-2)Q(x) + ax +b

Find the values of a and b

[warya]

if f(x)=2/(x+1) how do I express f(x)-f(x-1) as a single fraction?

I've gotten this far: 2/(x+1)-2/x

[cosine]

if f(x)=2/(x+1) how do I express f(x)-f(x-1) as a single fraction?

I've gotten this far: 2/(x+1)-2/x

[warya]

Thanks

also, if f(x)=root(x-1) and g(x)=x^2-1, then is f(g(x))=modx-root2??

[cosine]

Thanks

also, if f(x)=root(x-1) and g(x)=x^2-1, then is f(g(x))=modx-root2??

You cannot split them up into two individual expressions. So f(g(x)) isn't modx-root2, it's the above

[CannuJul]

This question is driving me insane please help xD

"If y = [(x + (x^2 + 1)^1/2]^2 , show that dy/dx = 2y/(x^2 + 1)^1/2

[Eiffel]

got a question.

Had a methods sac today, all is well except one question. i cleared all my variables and what not prior to the sac, and dis this question (simultaneous 3 equations). What happened was that i inputted it exactly the same and got results for my x,y,z. I did it again as i double checked, inputted the exact same thing and got 3 different values, not completely off, but different, e.g. not 1 and then 100000, but both similar but different (no values were same). I walked out of sac conversing with people and they got the latter result, i checked my equations, they were exactly same and got the latter result again, meaning i lost a mark.

Now, being the extremely competitive nature i am, i hate losing a mark especially in a competitive cohort like mine where some wont drop a mark. im 99% certain that is the only mark ive dropped in the whole sac (1% = some bullcrap mistake)

is it worth talking to my methods teacher tomorrow about it? it's first sac and some bad luck, he does know im a strong student so i there any way he could say do some agreement. First sac is the smallest, but i really dont want to drop anything.

I've still got it saved on my cas, so theres proof?

[cosine]

got a question.

Had a methods sac today, all is well except one question. i cleared all my variables and what not prior to the sac, and dis this question (simultaneous 3 equations). What happened was that i inputted it exactly the same and got results for my x,y,z. I did it again as i double checked, inputted the exact same thing and got 3 different values, not completely off, but different, e.g. not 1 and then 100000, but both similar but different (no values were same). I walked out of sac conversing with people and they got the latter result, i checked my equations, they were exactly same and got the latter result again, meaning i lost a mark.

Now, being the extremely competitive nature i am, i hate losing a mark especially in a competitive cohort like mine where some wont drop a mark. im 99% certain that is the only mark ive dropped in the whole sac (1% = some bullcrap mistake)

is it worth talking to my methods teacher tomorrow about it? it's first sac and some bad luck, he does know im a strong student so i there any way he could say do some agreement. First sac is the smallest, but i really dont want to drop anything.

I've still got it saved on my cas, so theres proof?

Yeah man by all means approach your teacher. If it's the calculator's error it should not be on your behalf, but the only problem is that he might think you did the working out on the calc after the SAC? I, myself, lost ~15 marks on my methods SAC, absolutely devastated and demotivated right now

[Callum@1373]

This is 1&2 but I really am stuck with this question:

The polynomial P(x) has a remainder 2 when divided by x-1 and a remainder of 3 when divided by x-2. The remainder when P(x) is divided by (x-1)(x-2) is ax + b, i.e P(x) = (x-1)(x-2)Q(x) + ax +b

Find the values of a and b

[dankfrank420]

Yeah man by all means approach your teacher. If it's the calculator's error it should not be on your behalf, but the only problem is that he might think you did the working out on the calc after the SAC? I, myself, lost ~15 marks on my methods SAC, absolutely devastated and demotivated right now

Head up champ, first SAC is almost worthless in the context of the entire SS. If you're going to muck up one SAC, it might as well be the first one.

[cosine]

Head up champ, first SAC is almost worthless in the context of the entire SS. If you're going to muck up one SAC, it might as well be the first one.

But I don't know why I mucked up on it, it had the most basic questions - heck, my stupidest mistake was 2*1 = 1, which ruined the entire question leading to it - It's not that it was hard, there's something else that made me stuff up.. You know what im trying to say?

[keltingmeith]

But I don't know why I mucked up on it, it had the most basic questions - heck, my stupidest mistake was 2*1 = 1, which ruined the entire question leading to it - It's not that it was hard, there's something else that made me stuff up.. You know what im trying to say?

Don't worry, we've all been there - I've even done things like writing a 4 as a 9, or 2/2=2. Hell, once I took the square root of something for absolutely no reason, which lead to a loss in 20 marks.

Nerves does things to you, it's a learning experience - just tell yourself you'll do better next time, and you will.