f7eeting
Well-Known Member
trust me you're probably smarter than i am
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2026 HSC CHAT (19 Viewers)
- Thread starter hellowellohehe
- Start date
f7eeting
Well-Known Member
ohhh that e^lnx thing is really smart, thats where i got stuck
ill reattempt the question later
beetard
Active Member
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- Dec 17, 2025
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- HSC
- 2026
is it like the nsb study camp thingy
f7eeting
Well-Known Member
after staring at this for a while, i think i finally get the part where you deal with each inequality separately
for both inequalities, we're trying to isolate e right? hence why we do the root thing to get e by itself. the confusing bit is why do we not do the same operation on the rhs? why do we raise it to the power of n+1 instead?
thats because when it comes to inequalities, as long as the inequality holds its still valid, so we dont necessarily need to do the same operation on each side
thats why they tell us that n is positive- if u raise anything >1 (which e and 1+1/n must be) to the power of n, as long as n is positive, that will be greater than if you rooted something to n.
in other words-
a^n>n√a given n>1 (if that makes sense)
this is also true for n+1
so conveniently, by raising one side to the power of n or n+1 and rooting the other side by n or n+1, we isolate e whilst getting what the question wants us to prove by getting out (1+1/n)^n or n+1 and the inequality holds
then after doing that we get e in both inequalities and we can make a sandwich inequality (as my ext 2 teacher calls them
) and boom!
mmmm its not rlly for study Lol
f7eeting
Well-Known Member
but the thing ab inequalities is that all that matters is that one thing is bigger than the other thing, no matter how much bigger the thing is yk? unlike equalities where everything has to be perfectly equal to each other
doing the opposite operation still lets the inequality hold, and it gets out the term the question needs us to get so it doesnt matter the operation we do.
take for example like idk
x>y
the inequality still holds if we change it to like
x+1>y
even tho technically the LHS is larger than before, the inequality is still true and we didnt need to necessarily do the same operation on both sides.
actually im not too sure if this is valid bc ive never done anything of the likes while dealing with inequalities but it seems ok to me, as long as we get what the question wants right?
f7eeting
Well-Known Member
to be honest id be very surprised if you got anything that'd expect you to do stuff like that again in advanced.
besides the question was from 2002 right? probably had a very different scope back then
Study to success
Leader of the Anti HSC English Party
this looks like hell
f7eeting
Well-Known Member
the exam is only 3 hours long, and if they waste some of that precious time by testing some algebraic manipulation skills you found in a question in 2002, theyd just be trying to set everyone up for mystery marks
id say its a good thing you got exposure to it but dont worry about mastering it unless you somehow run into a problem that needs this kind of technique again
Study to success
Leader of the Anti HSC English Party
u never know, since it's the last year of this syllabus they'll throw the hardest questions ever.
f7eeting
Well-Known Member
its actually pretty fun lol but maybe thats just me
i wish our school gave us questions like that
Study to success
Leader of the Anti HSC English Party
nah I'm good lolits actually pretty fun lol but maybe thats just me
f7eeting
Well-Known Member
math adv scaling the same as ext 2 is crazyy
f7eeting
Well-Known Member
why does your school make your exams so hard? mine, at least for adv are always copied and pasted straight from the textbook
Study to success
Leader of the Anti HSC English Party
yeah and I still fail lol. But that's kinda my fault for not drilling enough questions
Study to success
Leader of the Anti HSC English Party
also I want math adv to be out of my schedule but they still haven't processed it
f7eeting
Well-Known Member
you should send me one, i wanna attempt it lol
f7eeting
Well-Known Member
i think she already droppeddon't drop advyou just have to find the very limited fun in math
Study to success
Leader of the Anti HSC English Party
too bad I already handed in the form. tbh I'm looking for something easier than to go through whatever math adv is. Maybe if I drilled math harder in year 11 then I would be better at math now and I'd be able to cope with adv but not rn. I like blaming it on this one teacher for ruining it all but at the same time I should have worked harder, but honestly it's not like I completely bludged math either. Like my other subjects did not suffer as much as math diddon't drop adv
Hopefully math won't be super boring now tho and hopefully me getting high marks will motivate me to do well
f7eeting
Well-Known Member
are you talking about our old teacher?
tbh tho i think math gets more boring the more you drop down, but at least standard will be a bludge lol