Calc AB 2022 FRQs 1-6 Compilation

[@adrianne5732]

thank u for helping me realize that i failed

[@turksvids]

Oh no! I didn't want to do that to anyone!

[@tomasalonzo850]

My teacher went over the FRQs in class today too 😭🧍

[@IonKattTMCE]

I’m in the same boat. I’m watching this like “my work didn’t look like this.” Praying for MCQ carry

[@ski4311]

💀

[@cubingpro9877]

@@IonKattTMCE if i may ask, what was the score?

[@user-li6ql7gj3l]

getting ready for the 2023 exam here 🔥🔥 let’s hope it’s easy and we will all pass and get 4 and 5 😭😭

[@turksvids]

Good luck!!! You got this!

[@user-li6ql7gj3l]

@@turksvids thank youuu, your channel helped me a lot :)

[@sami-el1di]

Same here, I'm praying for a 4🤲🙏

[@user-li6ql7gj3l]

@@sami-el1di did you do the exam yet?

[@andrewlim5907]

@@user-li6ql7gj3l did you take it already?

[@BenWilson-y9w]

“I needed a dummy variable so I just used u” 😢

[@tanay6003]

Literally night before the exam I found this incredible channel while doing a complete revision, amazing work you are doing keep it up. lets hope I get a good grade tomorrow🤞

[@turksvids]

Better late than never! Please share with others, too! It really helps the channel grow. Good luck!

[@martiniglass1220]

Day before 2023 calc ap exam you're videos have really been helping me :D thank you so much

[@roblewi]

i took abbc last year and loved it so much. this will definitely be a binge watch for me. love your explanations and you really helped me realize how badly i messed up question 6 last year. lol

[@turksvids]

Nice! Get ready for me to mess up simplifying -3.8 - (-4.4)! Are you still taking any math?

[@RioRiver829]

I got like half of these right looking at this video Hope I did well on the mcq so I could possibly get maybe a 4

[@turksvids]

fingers crossed!

[@saiyeet]

I am also preparing; I have never used a graphing calculator since I do a different math program where they don't let us use calculators. We will see how it goes.

[@miranemrat5147]

What you need for the ap exam: 1- learn to solve a definite integral 2- solve a derivative at a point 3- graph a function and find its intersection with another function That’s the important, the others are good to know but not crucial Good luck!

[@Aqua-rm2mr]

Watching this 1 hour before my exam 😻

[@crepesl]

thank you so much. I watched a ton of your videos on previous FRQs and did a lot of these problems the same way you did :)

[@turksvids]

you're very welcome! and congrats on being done with the exam! please share my channel with anyone you think could benefit from it going forward! (i've also covered a lot of Calc II and III, so if you're continuing with math, you might still find some useful stuff around here!)

[@michaelli6302]

Shouldn't 3a be positive 0.2 instead of negative?

[@uvtears]

yes

[@adesolao.2585]

i took this test last year with a terrible teacher and got a 1. retaking it now knowing the course content and i’m so disappointed in myself 😭 this is on the easier side of the ap calc exams

[@ishikaa7]

I like how you simplify for each question, but then proceed to say stop 😂. Otherwise a very helpful video!

[@jasonmiller5510]

So I didn’t do as bad as I thought. Nice!

[@turksvids]

Congrats!

[@jamesajanel1522]

Hey I was just wondering what equation did you input into the calculator to get the graph.

[@geeteh4952]

this may be a stupid question but how does the chain rule give you (dx/dt)(da/dx) from da/dt

[@turksvids]

You're probably more familiar with thinking of it as d/dx(f(g(x))) = f'(g(x) * g'(x), but what about d/dx (f(u)) = f'(u)*u'? In that notation we know that f is a function of u, so we can find df/du and we know that u is a function of x, so du/dx makes sense. So we can rewrite d/dx (f(u)) as df/du * du/dx. So if A is a function of x and x is a function of t, we'd have dA/dt = dA/dx * dx/dt. Hope this helps!

[@geeteh4952]

@@turksvids That makes sense now, I was just confused by the notation. youre truly a hero to the calculus community

[@gravytrains]

at 26:33 shouldnt it be 0.2 cm/day/day because -3.8+4.4 is positive 0.6 rather than negative or i could be wrong lmk

[@turksvids]

at 26:06 that correction scrolls across the bottom of the video!

[@davidlowrey7206]

I believe you made a miscalculation on Question #4, letter a) where the answer is 0.2 not -0.2

[@turksvids]

Yep

[@srisaikunderu1429]

Hello, for question 1 part C, the rate is already given. Why do we have to find A'(1)? I thought you just have to plug in A(1) to figure out if the rate at which they arrive is increasing or decreasing?

[@turksvids]

A is the rate, is the rate increasing? It’s like being given f and asked if f is increasing. Gotta look at he the sign of the derivative. They kind of love these types in recent years so definitely read carefully! Hope this helps!

[@usdescartes]

Question regarding 3c: why not include both endpoints, making it [0,5]? Even without digging too far into the definition of decreasing on an interval, if NOTHING else, isn't g'(0) = -1 < 0? I don't THINK the AP scoring rubrics typically care about distinctions like "strictly decreasing," so I would think that at the very least, the correct interval on which g(x) is decreasing is [0,5). (Then, taking it a step further to what I believe is the currently accepted view by the AP Curriculum folks, is that, for instance, Cos(x) is decreasing on [0,π] and is increasing on [π,2π] because for every point in [0,π], we know a > b implies Cos(a) < Cos(b). And [π,2π], we know a > b implies Cos(a) > Cos(b).) Or is it that at the AP Reading, the rubric will allow for combination of endpoint inclusion, exactly because it doesn't matter huge amounts, teachers and books might say different things, etc.? Thanks!

[@turksvids]

Yeah, as I mentioned in some other comment (but maybe on a different video?), if I could do it again I'd include 0 for sure. On the other issue, I'm just going to wait for their scoring guidelines on this one and do whatever they do here in the future. I do not typically include end points because of the justification that I almost always use, which is to say that a function is increasing if f' > 0. So reading it the way I write it, if I say a function is increasing on [0,5] because f' > 0 there, then I'm wrong if f'(0) or f'(5) = 0. I've already started switching it up, though, for myself. I think in the future I will write something like, Since f'(x) > 0 on (0,5) (in my made up example, f'(0) = f'(5) = 0), therefore f(x) is increasing on [0,5]. I have no idea what happens at AP Readings, but I'll be interested to see what they come up with specifically at x =5 for this problem.

[@lukemartin2891]

Think I got a 5 thanks for the video I agree with you I make ever step when doing algebra it’s like solving a puzzle so you don’t want to mess it up

[@juliancortella7942]

#4a: Kinda funny that you said don't simplify because you'll make an error, and YOU DID. The sign should be positive, not negative.

[@turksvids]

Not even sure why I bothered editing a scroll at the bottom that says that at this point...

[@Amber-hs2ce]

i dont understand how u graphed A(t) for the first frq, my graph keeps giving multiple vertical lines everywhere

[@turksvids]

Maybe change the window and make sure you’re in radians.

[@Cindy-nn8wm]

check if you entered it correctly and use radians, set your windows to like y min= 100 and ymax = 500 that helped me

[@zappist751]

TURKSVIDS I LOVE YOU MAN!!! Can you also please do some videos on calc ab mcq?

[@zappist751]

NVM I JUST FOUND MCQ xD

[@zappist751]

THANK U LAD!!!

[@ara-gi1kv]

im taking the test this year and this made me realize that i better start studying now 😭

[@turksvids]

Never too early or too late. I have lots of videos that can help!

[@rakiyahassan9222]

hey, thank you so much!! do you know if/when they'll release the multiple choice portion?

[@turksvids]

The multiple choice will possibly get loaded into AP Classroom in the fall, but there's no telling if they'll label it as such or just be 45 new multiple choice questions in there...so, we'll likely never really see the multiple choice that everyone took.

[@rakiyahassan9222]

@@turksvids oh darn... thanks for the quick response though :) i shared your video with my class!

[@turksvids]

Thanks, I appreciate that so much!

[@nomnah5247]

Hi. For 4d at 32:57, my answer came out to be -20000cm^3/day. I think your ratio to obtain dr/dt is incorrect. dr/dt = -4 instead of -5?

[@chrislynn3725]

It says in the table on the side that r’(3) is -5, and you have use to that as the dr/dt rather than -4.

[@turksvids]

Although the values of r and h that are given at the specific time have the relationship that r = 2h, there's nothing in the problem that suggests that's always the case, so we shouldn't assume it. If you don't make the assumption and take the value of r'(3) from the table of values, you'll get the solution I did. Hope the exam went well for you!

[@nomnah5247]

@@turksvids Ah, I see my mistake. Thanks.

[@arjunabhandari266]

did everyone get these frqs who took this exam?

[@noelbreger4125]

My student loves you

[@turksvids]

Thanks!

[@MathWithMr.Chavez211]

What tech tools are you using to create your videos? Thanks.

[@turksvids]

Writing out on an app called Doceri on an iPad Pro with Apple Pencil 2; you can then record voice over on that within the app. For this video I just brought everything into iMovie to stitch it all together. (I don't actually know how to edit videos, so everything is one take straight through...) My main complaint about Doceri is that it does not output in HD, which I think doesn't really matter, but still...it's 2022...export to HD already!

[@MathWithMr.Chavez211]

@@turksvids Thanks for the Reply! I also use Doceri. Agree with HD export and it needs PDF import!

[@turksvids]

@@MathWithMr.Chavez211 cool. do you have any other apps you've played around with? I've been looking for something else to try out but I really like the built in timeline and voiceover feature.

[@su1ly]

can you please do a graphing tutorial? i have the same calculator as you and i'm having soo much trouble with graphing :(

[@turksvids]

This is everything I think you need to do on the AP Calc exam with your TI-Nspire: kzbin.info/www/bejne/iWHNlIlpaKh_edk I hope this helps! (If you search my channel for ti nspire graphing I have a few other videos on it as well.) Good luck!!!

[@su1ly]

@@turksvids thank you so much!!! your videos have been such a great help :D I'm so glad I found your channel!!

[@boboganbobogan9297]

I had a different test. Is not it anywhere on the internet?

[@ke_tebza]

Love this 👌. I’m just curious…how did you get hold of the exam? Is it released to the public yet?

[@turksvids]

Yes! Find the pdfs at the links below: AB: secure-media.collegeboard.org/apc/ap22-frq-calculus-ab.pdf BC: secure-media.collegeboard.org/apc/ap22-frq-calculus-bc.pdf

[@ke_tebza]

@@turksvids thank you

[@alb9520]

@@turksvids Being a late exam™ taker, I'd just like to confirm, will these FRQs be different from those that will be present on the alternate exam tomorrow?

[@turksvids]

You will definitely have different frqs but if you do enough old ones they all start to look the same, which is a good thing for getting ready!

[@ReaperResidence]

I didn't do any of these and I took the calc ab exam, what?

[@mastericepanda4491]

There are multiple different exams to make cheating harder, you had a different one

[@ReaperResidence]

@@mastericepanda4491 so is mine just not going to be released? That's tough

[@Blxdezz]

🐐

[@turksvids]

thanks! good luck!

[@swaminipatel3811]

do I wanna watch this and sky rocket my anxiety?? um no :)

[@kokoro_nashi]

studying the night before 👍67% shouldn't be that hard to achieve right?

[@turksvids]

you got this! good luck!

[@No-hj3nl]

I took this test a few days ago but my FRQ’s were completely different. Are there different versions or something?

[@turksvids]

Yeah, there are several different versions. This is, I'm pretty sure, version O, which is the most commonly given form and the one that they release.

[@rakiyahassan9222]

yep this is form O, it's the one I had

[@arjunabhandari266]

@@turksvids do you know if the other frqs other than form O get released?

[@jxdie8814]

Wow I messed those up so badly omg

[@reno9549]

Why wouldn't A(t) be in absolute value if it was asking for the "total"?

[@turksvids]

A(t) is positive on the interval so in this case it doesn't matter. I'm not sure how the question would be rephrased in such a way that this particular scenario would have outright required absolute value.

[@reno9549]

@@turksvids Supposed a stressed student happened to put absolute value, are they likely to deduct points?

[@turksvids]

@@reno9549 I don't think there's any reason to deduct points for that on this problem. The answer is the same with or without.

[@isaiahchang802]

how you mess up on 4a bru... got me stressing

[@turksvids]

Follow the advice…don’t simplify!

[@blugo829]

At 26:30 I think it’s supposed to be positive not negative

[@turksvids]

Definitely. Also I, ironically, was in the middle of saying not to simplify since you might get it wrong. Good stuff...

[@angelbravo7176]

Ik the final answer is -51 but since your final answer is in centimeters i changed it to 51 centimeters

[@turksvids]

The -51 means that on the time interval from t=0 to t=12 days, the sculpture's radius decreased by 51 cm.

[@melissaedwards9350]

I believe it's .2 cm per day/day. not -.2

[@turksvids]

there should be a note that scrolls across the screen saying that, but i'm starting to think not everyone is seeing that...

[@alej3600]

i think i got the most wrong on 6 thats so embarassing LMFAOOO but i think i got almost all of the rest right. i got 1 part d wrong and 2 part d wrong but the rest i think i may have aced with like 2 or 3 points from 6, and the MC was really easy so hopefully a 5!

[@davidbaer3670]

On 4a your answer should be positive

[@turksvids]

yes...

[@plasmaik]

i got half of them right good lord 😭😭

[@darkzeus691]

what calculator do you use?

[@turksvids]

I use a TI-Nspire CX II CAS, but everything I use it for on the AP exam can also be done with any TI-Nspire (you don't need a CAS on the exam).

[@theflamingdragon3208]

what region is this test

[@turksvids]

these questions are from form O, which I'm pretty sure is the primary exam given in the continental United States--definitely on the east coast! There are also definitely other versions given. About half of my students have said they did not have these FRQs.

[@dckyyy9703]

@@turksvids i got these and im from toronto

[@theflamingdragon3208]

@@turksvids Ah okay i see , do you know if theyll every release frqs for other regions, thanks.

[@turksvids]

I hope they do because I sort of genuinely love solving them, but they stopped releasing two sets in 2012 and I'm not sure they're likely to ever go back.

[@theflamingdragon3208]

Tbh i hope so too i really wanna know if i got the frqs right