Maths Ext 2 predictions (3 Viewers)

[ExtremelyBoredUser]

i capped at 80 raw a while ago and have not been bothered to improve cause i need like 10 extra raw marks to get 0.05 better atar

diminishing returns so yh ull be fine but doesnt hurt to improve if u can cuz more marks more confidence for next exam

 

[scaryshark09]

|a|+|b|>=|a+b|

that’s literally it

one question asked to use it in like 3D vectors and i was so confused

 

[synthesisFR]

|a|+|b|>=|a+b|

that’s literally it

but then theres like Ia-bI>= I IaI - IbI I
ALSO i havent done it yet but the 2022 mx2 paper had a triangle ineq for question 15 complex question that looked annoying

 

[scaryshark09]

how do you do part 1 and 3? and why is part 2 3 marks when its the easiest one?

 

[ExtremelyBoredUser]

also i dont know how to do pulley questions (idk what tension is and how it works) and i dont know how to do incline planed questions

1. choose whcih direction is +ve if not specified e.g up +ve, east +ve rest -ve
2. create a force diagram (gravitational, tension etc)
3. set up equations for both sides e.g m1g - m1a = T1
4. equate and try to find what u want

 

[carrotsss]

i stg it is actually impossible to keep up with bos rn like I’ve been spending way to much time here and yet I still have 3 pages of unread new threads

 

[scaryshark09]

i dont get how they determine if a section is included or excluded??

 

[carrotsss]

View attachment 40275
i dont get how they determine if a section is included or excluded??

what’s the question

 

[scaryshark09]

what’s the question

last question 2021 HSC

 

[scaryshark09]

 

[liamkk112]

View attachment 40274
how do you do part 1 and 3? and why is part 2 3 marks when its the easiest one?

For i) :
magnitude of op^2 = 1 = x^2 + y^2 + z^2, then x^2 <= |x|, same for y, z as if |OP| = 1 then copmonents are less than one and squaring number less than one means get smaller. then just plug in and u get the inequality

For iii):
let a = (|x|,|y|,|z|), b= (1,1,1) (REASONING: u would get sqrt3 on RHS, and then LHS would be same as in part 1) then, RHS = sqrt(3) * 1 (b.c. |a| =1 as lies on sphere of radius 1) and LHS =|x| + |y| + |z| (can omit bigger abs value bc inside is posiitve), hence |x| + |y| + |z| <= sqrt(3)

 

[liamkk112]

View attachment 40276

lol i can never get this one

 

[carrotsss]

View attachment 40276

you just sorta gotta common sense a lot of it

for quadrant 2, x is always negative whilst the argument is always positive so that’s obviously not included

for quadrant 4, x is always positive whilst the argument is always negative so that’s always included.

for quadrant 1, when x is greater than pi/2 it’s included since the argument won’t exceed pi/2 there, but the region from 0 to pi/2 is a little more complicated. tan(theta)=y/x, but theta>=x, so tan(theta)>=tan(x) and therefore tan(x)<=y/x. hence xtan(x)>=y and from there the rest is trivial, just graph xtan(x)=y within that region

for quadrant 3, the argument is always less than -pi/2 so any x values greater than or equal to that are ofc included. then beyond that it’s the same deal as previously, make an equation with y and x using the fact that theta>=x and you’re good

 

[SB257426]

i hope its harder than last years for the lols

nah i bet after the criticism they got NESA aint gonna listen to anyone lol, those old professors know what the fck they doin

 

[dhwanit2005]

View attachment 40275
i dont get how they determine if a section is included or excluded??

How did u find this paper overall

 

[SB257426]

How did u find this paper overall

its on the nesa website

 

[dhwanit2005]

its on the nesa website

Nah like how did he find it (like what are his opinions on it) cos i did it and i jus wanna see if they can resonate or if its just an individual human experience

 

[synthesisFR]

Nah like how did he find it (like what are his opinions on it) cos i did it and i jus wanna see if they can resonate or if its just an individual human experience

howd u go

 

[dhwanit2005]

howd u go

diabolical silly mistakes were made thats all imma say, but overall i liked it it was a decent paper

 

[SB257426]

Nah like how did he find it (like what are his opinions on it) cos i did it and i jus wanna see if they can resonate or if its just an individual human experience

OHH bro..... lol...

the human condition has taught us that multiple personalities induce distinct responses to complex situations thus u may not be able to resonate with his experiences