Maths Ext 2 Predictions (2 Viewers)

[OriginalUsername]

id rather not dox myself, top 10

why tf are you larping as nsb

 

[$UISFUKEDUP]

Has anyone got answers yet?

 

[creeqer]

Has anyone got answers yet?

there aren't official answers yet but Ringo Mok has released his own answers on his website. just google his name and you will find his website

 

[$UISFUKEDUP]

k cheers

 

[sjfjqo]

yo, im a bit late but what do u think a 70 raw would scale to? Also this exam was easier than 2023 and 2022 but did y'all find it harder or easier than 2021?

 

[Allan Mekisic]

yo, im a bit late but what do u think a 70 raw would scale to? Also this exam was easier than 2023 and 2022 but did y'all find it harder or easier than 2021?

Harder than 2021

 

[K2Trappy]

for 16bi) all the solutions i have seen end up with w^2 + w +1 and therefore show that thing is the root, I subbed in e^(2i pi/3) and e^(2i pi/9) and then ended up with -1+1, would i still get 3/3?

 

[anonymous1111]

for 16bi) all the solutions i have seen end up with w^2 + w +1 and therefore show that thing is the root, I subbed in e^(2i pi/3) and e^(2i pi/9) and then ended up with -1+1, would i still get 3/3?

you might but always just imagine worst case scenario so it cant turn out worse than you expect

 

[K2Trappy]

you might but always just imagine worst case scenario so it cant turn out worse than you expect

is worst case 2 or 1

 

[anonymous1111]

is worst case 2 or 1

2

 

[C2H6O]

View attachment 45229
Pls help.

Bruh that's hard
Looks like some optimisation problem, where you get an equation for the area as , where ? is where the function -f(x-t)+f(t) last crosses the x axis, but its quite complicated. I made a model on desmos here, and I think we need the value of t where this point circled

just touches the x axis, roughly t=3.7
When you try expanding -f(x-t)+f(t) it gets way too complex, maybe i'm missing something or there's a workaround with function transformations?

Does anyone else have any thoughts? I may have overcomplicated this

 

[C2H6O]

Just a thought, we want this area (red + blue):

Red area should be easy to integrate as a simple definite integral

Thinking about the function transformations, the blue area is just this area on the original function f(x):

By differentiating to find the turning points, we find that the leftmost turning point occurs at .
subbing this into f(x) to get the y value, say y=a, you can find the blue area as OH DANGIT YOU STILL GOTTA FIND THE UPPER BOUND UGH thought I was cooking but this is also complicated cause you gotta find the solutions to f(x)=a

surely theres a really straightforward solution im completely missing

 

[C2H6O]

ok I found

now gotta find solutions to the equation f(x)=a =>

by product of roots we know
giving us

solving for t we know that , which we solved earlier as

so area =

roughly 598.728 units^2

Admittedly I used a LOT of symbolab to simplify these ridiculous fractions
Sorry this probably isn't a very good explanation

 

[C2H6O]

Oh shoot… this probably isn’t the right solution anyway.. cause they asked for max area bounded by the curve… not integral area (area under the curve is not negative).. ffs, sorry for the time you wasted reading that

 

[K2Trappy]

Bro, why did no one tell me that maths advanced was going to be this hard... I'm seriously reconsidering dropping extension, like my tutor suggests it.

this obscure ass shi is never coming in any adv paper, id be surprised to see it in a ruse trial adv is not meant to be hard you'll be just fine boss

 

[nonya2000]

Bro, why did no one tell me that maths advanced was going to be this hard... I'm seriously reconsidering dropping extension, like my tutor suggests it.

Lol I never came across any question like this. Your tutor probably scamming you asking out of the scope questions.

 

[H.S. Carslaw]

here is page 10 from Lang, S., Complex Analysis, Springer-Verlag, 1999
View attachment 45228
now you may consider yourself better educated and better prepared to handle q8 like i did in post #476

So are you saying students should read university textbooks before they can do an HSC exam? That doesn't seem fair.

 

[Imnotreal218]

So are you saying students should read university textbooks before they can do an HSC exam? That doesn't seem fair.

My teacher put that in my task 1.
Go suck an egg.

 

[anonymous1111]

I saw a trial exam question about i^i and considering different arguments for i to arrive at different answers. this has to do with different branches of the principle argument and how e^x is 2pi*i periodic. is this oos?

 

[mystic router]

"id rather not dox myself" bruh just stop lying

yeah id rather not but seems like u probs alr know who i am