AI SL: Paper 2 (November 2023)

Chapters
0:00:16 (1a) Values a, b & c
0:04:45 (1b) Trapezodial rule
0:16:11 (1ci) Integral
0:17:52 (1cii) Solve integral
0:20:21 (1d) % error
0:26:52 (2a) Length BM
0:29:13 (2bi) Length BE
0:38:00 (2bii) Angle BEM
0:51:58 (2c) Length arc AB
0:58:38 (2d) Area curved portion track ABDC
1:06:57 (2e) Volume curved portion track
1:12:58 (3ai) Mid-interval value
1:16:08 (3aii) Estimate mean running time
1:23:03 (3b) Estimate interquartile range
1:33:20 (3c) Outliers?
1:40:02 (3d) Null and alternative
1:46:01 (3ei) Value of a and b
1:54:52 (3eii) Perform a test
2:06:00 (4ai) Original amount loan post down payment
2:10:44 (4aii) Find PMT
2:23:33 (4b) Total amount paid over the life of the loan
2:26:06 (4c) Total number of monthly payments
2:31:25 (4d) Ruben's final payment
2:38:35 (4e) Amount saved
2:45:48 (5a) Cases sold at x=16
2:47:47 (5b) Monthly income if x=16
2:49:11 (5c) Function R(x)
2:51:46 (5d) With costs, what is profit if x=16
3:02:29 (5e) Function P(x)
3:07:24 (5fi) Derivative P(x)
3:13:15 (5fii) Show that they aren't maximizing
3:22:16 (5g) New profit function with new cost
3:36:22 (5h) Selling price for max profit
3:46:37 ANSWER KEYS!
Discord link / discord
Hope it helped!!

[@beam8544]

It has been quite a journey Mr. Quiroz. Finished paper 2 today and I am going to miss you. I can finally forget all about the GDC!!!! Gracias por todo, sigue asi y ayudaras a muchos estudiantes

[@quirozmath4947]

Tysm!!! Good job with IB math, good luck in your other subjects!!! Thanks for the constant support beam! You a g. Keep it real! 💫

[@theadumont4326]

Thank you so much for casually saving IB maths students!!

[@marcelmichnowski7212]

I just closed all my tabs with your videos after coming come from my last math p2.Honestly, your videos were a lifesaver and I want to sincerely thank you for your efforts. Thank you mr Quiroz

[@quirozmath4947]

♡♡♡♡ I'm glad it helped!!!!!

[@ArjunRoy-e4z]

JUST FINISHED BOTH MATH EXAMS. MR.QUIROZ YOU SAVED MY LIFE THANK YOU!!!!! I'M GONNA MISS YOU BRO. IF ONLY THERE WAS A QUIROZ CHEMISTRY :(

[@quirozmath4947]

Glad to have had helped! All the best in your travels and projects 💫 don't forget to give hugs and love randomly 🌼

[@carticactus]

what i like about your channel, is that disregarding the fact this is some pretty basic math, you still explain everything so thoroughly. really helps to understand some things where others just expect you to get it.

[@milashaghol.488]

HI IM SUCH A FAN THANKS FOR SAVING MY EXAMS

[@quirozmath4947]

[@EmptinessInMe]

I am an IB student graduating on May 2025 and lucky enough I was able to find your channel for my Mathematics revision!!! Thank you so much for the good videos!!!

[@quirozmath4947]

Thank you so much for this message! I wish you the best in your studies :3 You might find this discord link useful. We help each other answer math questions and share any useful content. Good luck!! discord.gg/ysjT6gZkNs

[@LeylaSuter]

you know what i rlly love is how u talk in such a informal way as if im your close friend and it makes me understand way faster for example the things u say like omg wtf is this formula like i would be thinking this in my head too like u explain everything from scratch bro keep it upppp i have my ib ai sl exam tom freaking out but will be easy becuz of uuu inshaAllah haha

[@quirozmath4947]

I love this comment!!! This is what I try to do. I remember searching for math vids and eeeeverything was sooooo fancy and mathy explanations Don't get me wrong - formulas are VERY important but, I mean, why not keep it intuitive/friendly? All the best tommorow!!

[@LeylaSuter]

@@quirozmath4947 ikrr like these youtubers on math say all these big words and am like huh wtff slow down like explain from scratch but anyways we have youuuu🥰🥰🥰

[@quirozmath4947]

@@LeylaSuter hahaha thx

[@LeylaSuter]

@@quirozmath4947 yes i love it and so do other ppl especially lazy ppl who need a way out lmao and yes thankuuuuu tom paper 2 i got thisss

[@milanporteous1813]

my paper 2 is in 8 1/2 hours thank uuuuuu for saving me

[@quirozmath4947]

LETS GOOOOOO 💥💥💥💥

[@adatbh]

Mine too lmfaooooooooo

[@milanporteous1813]

@@adatbh byeee what were those questions i might not even get a 4 😭😭

[@beam8544]

Thank you! We really needed this!!!!

[@aroundace]

you were my goat for the ib math test 🙏🙏🙏🙏🙏

[@racnoff6726]

Thank you tons mate! Absolute lifesaver for my classmates and I

[@quirozmath4947]

Glad I helped!!!

[@pitifloro5792]

You’re a legend bro

[@joeyjarjourah7278]

you're a legend, saving IB students video by video

[@quirozmath4947]

The fact that they searched for me tells me that they are saving themselves ;) trust your efforts trust your gut. All the best in the upcoming IB. Don't lose (too mucb) time doubting yourself :D

[@hdcbpxsytahdcbpx]

hows this man literally better than my actual math teacher

[@quirozmath4947]

Hahaha tysm for the compliment ♡♡♡♡

[@gabbyderry3001]

u r awesome for this thank u lol

[@christianmaboko2054]

Thank you so much

[@aravdhingra7120]

thank you

[@tirome7651]

Thanks

[@ioannimissailidis9760]

Hey I love your videos. But I still don't really get how H0 changes depending on the context and also does it differ depending of the test you are doing? If you could please explain it would help me a lot.

[@quirozmath4947]

Stick to the intuition that the H0, null hypothesis, is "no effect or no change". H1 is "yes effect or yes change". The context helps each. For example, someone is trying to test if the mean weight of black geese is larger than white geese. The small "u" symbol is "mu" and it means weight. If u1 is mean weight white geese and u2 is mean weight black geese then H0: u1=u2 H1: u1

[@quirozmath4947]

Here is a more intuitive explanatiln maybe 1st p-value and significance level are BOTH PROBABILITIES 2nd your p-value is the PROBABILITY OF OBSERVING WHAT YOU ARE OBSERVING IF H0 IS TRUE 3rd Your significance level is like your BENCHMARK. Consider it a "CUTOFF" point... anything beyond that is too extreme of a value 4th example: p-value gave you around 0.01 and significance level is 5%. P-value of 0.01 is 1%. The way you conducted the test is that, anything below this 5% is far too unlikely to occur assuming that h0 is true. And so, its like what you're observing has a 1% chance to occur... only 1% of worlds has this scenario, waaaaay too unlikely, reject h0.

[@Alaa-it7ju]

Hey! For question 5e, can i plug 16 into the function given and equal it to 14000 (from part d) to see if it will equal 14000? so like 14000= -1000(16)^2 + 30000(16) - 210000

[@quirozmath4947]

Yeah, this makes sense to me. It basically shows that that function worls/is correct so yeah seems fine by me.

[@Alaa-it7ju]

@@quirozmath4947 thank you! you are actually our hero for math ai

[@MAS_Videoz]

i have no idea what past paer 2 is, I'm a Math AI SL student, and next week I have Math Ai final term exam from Chapter 3,4,5,6, and 7. Could you please tell me what should I study from or what video you recommend for me to watch without studying from my book

[@quirozmath4947]

Your IB exams will include a paper 1 and then a paper 2 the next day. Paper 1 has many shorter questions (like around 12) that usually have only one topic behind it. For example, an entire question only about integrals, only about a box and whisker plot, etc. On the other hand, paper 2 has less questions, but, they are longer since they usually mix these topics. For example, you might have to solve a box and whisker plot and then run a t-test in the same question. I am not sure what chapters 3, 4, 5, 6 and 7 refer to in your textbook. I suggest you look up what topics they fall into (functions, probability, geometry, trigonometry, etc) and then look up some videos that I have. You can study from my videos

[@jarellyardin1301]

For the first question,Based on the markscheme I=it showed that a=6,b=5.14 and c=3.32.This is quite confusing.I don't know I got the same answer as you but the markscheme isn't showing the same answer.

[@quirozmath4947]

Hi, are you sure that we are looking at the same markscheme? Check 26:43 all seems ok to me.

[@quirozmath4947]

@@jarellyardin1301 hard to tell and pretty illegal for me to comment anyways lol. Just focus on what they DIDN'T ask and that'll PROBABLY enter for tommorow.

[@uziloverq]

can you please do October 2023 paper 2?

[@cyrine25]

Hey this should be the October one cause it’s technically the November session (there’s may and November)

[@quirozmath4947]

Hey there! I've never heard of an october paper. As far as I know its just may and november sessions. Regardless, feel free to send requests and PDFs at the discord or [e-mail]

[@uziloverq]

@@quirozmath4947 hey, on the past paper it says 31 October 2023, so I assumed it was October session, anyways I’ll email you the past paper along with the mark scheme! Thank you!!