/sci/ - Science & Math

>>12285021
Ugh yeah I remember doing that, it's really just tedious and all not that enlightening

>>12285021
No way that is high school

Do they give you log tables with formulae for this?

We had similar in Ireland at equivalent level

>>12285021
>giving the answer in the question
This is why american education will always surpass all others.

>>12285021
This is a Calc II problem. Calling BS that this is a high school exam

>>12285021
There's a single end of high school exam for all of Australia?
Is this also true in America now?

>>12285900
Its possible
Calc BC in the US dives into Calc 2

>>12285021
Looking quite hard for highschool.
But then when I looked at A levels in the UK and finals in Swiss this seems to be at this level, too.
Germany finals were easier in comparison.

>>12285021
Ha in the U.S. I barely knew how to do algebra when I graduated high school. I still scored higher than most on the ACT standardized test. I was smart in other subjects. I had to self-learn Algebra and Trig and it only took about a month. Public education is a sham.

>>12285900
Most large US high schools expect students to learn Calc 2 by senior year if they stay on track, and offer more accelerated progams

>>12285021
Part 4 is easy if you assume part 1 and part 2. Each I_n is less than the previous one for all natural numbers n (part 1). Evaluate I_0 = 1. Then all I_n are less than or equal to one. The inequality follows from manipulating part 2.

>>12286038
I doubt that more than 0.01% of high school alumni even know the basic algebraic structures and constructs even less how to "do" algebra.
Hell, even most people having had Algebra courses in university struggle with it as long as they don't have to work with it explicetily for years to "make it click".

I remember vividly how some students - including me - where blown away by some facts tought in our first algebra course while doing some algebraic geometry exercises and reviewing lecture notes.

>>12285021
This looks like it only really requires integration by parts, a trivial proof by induction and knowledge of geometric series. All of which should be known by any student taking AP calc.
>>12286168
That anon meant highschool algebra not abstract algebra.

>>12285850
It was for me back in the 90s.

>>12285900
>>12285850
>>12286038
>Calc II
Holy shit, I thought it was just memes, but burgers apparently really are that dumb.

>>12285021
Aussie here, this is from a specialist maths course. Most highschool students don't do specialist maths. Most do general maths or further maths.
Retard.

>>12286373
I went to an inner city school where over half the students were nig nogs. Yes, my education experience was shit and I did not touch this until college.

>Grew up in public education
>Have IEP thanks to tism
>My sperg status made counselors hesitant to give me any serious classes
>Blindly follow their advice up until junior year
>Take chemistry against counselor’s wishes
>Ace it
>Confront the school later on about their hesitancy
>They admit they were wrong and apologize

>Flash forward two years later
>Just now getting into calculus
>Counselors still advise me to take year wasting prep classes

Does anyone else have any bad experiences with counselors?

>>12285021
That stuff is first year calculus I in uni.
No idea why they taught you that in highschool already.

>>12287471
if you were getting A's in all your classses it would be a no brainer to put you in some harder classes. 99% of high school faculty are kinda stupid, but it sounds like they were extra dumb in your case.

>>12285021
how do you do the first part? integration by parts?

the subject is advanced math and some students can choose extension if they wanna sweat it

>>12287471
My high school algebra 2 teacher wouldn't recommend me to take College Algebra at a local community college for my Junior year. She said it was too hard for any of her students to do well in. Seriously, college fuckin algebra...

I've heard a lot of similar stories about guidance counselors denying kids cool opportunities to learn more because they're so bent on the idea that all children are pants-on-head retarded. Fuck that teacher, I graduated high school with A's in Calc 1-4

>>12286373
>Holy shit, I thought it was just memes, but burgers apparently really are that dumb.

No, but we segregate students in HS. Watchung HS is filled with both over achieving Asians and some pretty dumb kids. The HS has to cater to both.

>>12285911
i remember ap calc being ridiculously watered down. like i'm pretty sure most college calc 2 classes are harder than calc bc
a lot of low end colleges are splitting up calc further though to water it down more tho. i went to a brainlet college and calc 1 to diffeq was literally split up into 7 classes

>>12287767
>calc 4

>>12285021
(i) Integrate by parts and trig pythagoras
(ii) Induction
(iii) [math]x=\sin^2\theta[/math], double angle formula
(iv) I_n is decreasing from (i), or alternatively the J_n integrand is everywhere less than 1/4.
The only thing about this question that isn't just rote calculation is the substitution for part (iii), but even that is a standard step for the beta function.
But because it's all standard techniques, it's a good weed-out check for who's got the basics down enough to learn proper math later.
It's only difficult for math-savy HS students due to lack of practice. Even freshman's first uni analysis course has (some) more difficult questions than this, because they atleast require some modicum of creative thought.

>>12287471
It is all guidance counselors' goals to make sure the (non-jewish) white students get test scores as close to the black test scores as possible.
This is only achievable one way.

Kek my American high school didn't even offer calc I

sooo... how do you do it?

>>12285906
australia has exams for every subject and 4 different levels of math exams