Mathematics Extension 1 HSC thoughts (1 Viewer)

[tywebb]

Here is the paper.

https://www.educationstandards.nsw.edu.au/wps/portal/nesa/resource-finder/hsc-exam-papers/2022/mathematics-extension-1-2022-hsc-exam-pack

 

[tywebb]

So you can start making solutions and maybe post them up.

 

[ExtremelyBoredUser]

Maybe I'm wrong, but didn't B and C have horizontal asymptotes, so it couldn't be the answer? Because since y can have any value, and also sin(y) ranges from -1 to 1, so dy/dx has to range from 0 to 2

I'm pretty sure b? I originally thought D but when I was rechecking my MC i was like YOLO and t-subbed so I changed to b.

 

[ExtremelyBoredUser]

Walked out of the exam thinking I completely threw but everyone seems to have find it fairly difficult.

I threw as well don't worry lol. Most of my cohort found it decent/easy which made me a bit worried but apparently people struggled? It wasn't too bad except for 14c) IMO so I'm def losing those marks.

 

[jdad1]

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I'm pretty sure b? I originally thought D but when I was rechecking my MC i was like YOLO and t-subbed so I changed to b.

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But how come there's horizontal asymptotes when y can be any value?

 

[ExtremelyBoredUser]

What did everyone get for Q1? Was stuck between A and C the whole exam.

OMG I LEGIT SHOULDVE CHECKED ON MY CALC, i feel so fucking stupid rn. Its C most likely ahhh

 

[MJRey]

Yeah I got D as well, if you just spam in progressively increasing values of y the gradient results in constantly positive values and D was the only one that exhibited something like that

Yeah, I got D too.

 

[Daedalus13]

Yeah I got D as well, if you just spam in progressively increasing values of y the gradient results in constantly positive values and D was the only one that exhibited something like that

I belive it's B because the constant solutions are asymptotes of a particular solution. So -pi/2 and 3pi/2.

 

[dansk1er]

I forgot about 13d as well ffs, wasnt able to get the result in time

 

[Daedalus13]

Did anyone get the actual answer for 14c?

 

[tgone]

To be honest, paper wasn't THAT bad like you can't compare to 4u's jump but yea i'd agree its harder than last years by a bit but 14c) made me kms. Rest was ok.

wasn’t 14c just showing that sin2theta - sintheta maxes out at ≈0.37 after factorising out Rmax

 

[tgone]

Did anyone get the actual answer for 14c?

i got it dmax=0.369Rmax

 

[Auzendriel]

wasn’t 14c just showing that sin2theta - sintheta maxes out at ≈0.37 after factorising out Rmax

Fuck I got that but I didn't factorise and max it...

 

[tgone]

anyone else get 16d as 358

 

[2022graduate]

What were we meant to do for 12a the graph one I just didn’t know what we were asked to do. All I can say is much better than ext 2 but fairly difficult still. I know I messed up 12a tho

 

[sneak11]

OMG I LEGIT SHOULDVE CHECKED ON MY CALC, i feel so fucking stupid rn. Its C most likely ahhh

i dont think it can be cause sin y + 1 has to be positive for all y values hence the gradient needs to be greater than or equal to zero

 

[tgone]

View attachment 36766

I'm pretty sure b? I originally thought D but when I was rechecking my MC i was like YOLO and t-subbed so I changed to b.

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doesn’t t-subbing create an asymptote?

edit: never mind, integrated it a different way and I believe B is right

 

[2022graduate]

What were we even meant to do for 12a?? I was legit so confused

 

[tgone]

What were we even meant to do for 12a?? I was legit so confused

just draw the slopes at each P, Q, R ? (i.e. sub in the values (x,y) at each point and then draw a line segment of the gradient at the point)

 

[2022graduate]

just draw the slopes at each P, Q, R ? (i.e. sub in the values (x,y) at each point and then draw a line segment of the gradient at the point)

Oh good I did that, just over complicated it in my head thinking about it. Overall I reckon multiple choice and 14 were horrible