Solutions to the 2023 AP Calc AB FRQ

Подписаться 1,3 млн

Просмотров 32 тыс.

50% 1

Get started with a 30-day free trial on Brilliant: 👉brilliant.org/blackpenredpen/ ( 20% off with this link!)
We will go over ALL the free response questions from the 2023 AP Calculus AB test to help you prepare for the upcoming AP exam. Topics included defined integral, average value of a function on an interval, change in position vs total distance traveled, implicit differentiation, related rates, derivative from a table, and more. Try all the questions first: apcentral.collegeboard.org/me... and best of luck on your AP calculus test!
2 series problems from the AP Calc BC FRQ: • The infinite series qu...
Try this AP calculus BC FRQ from 2004: • Revisiting the AP Calc...
----------------------------------------
Big thanks to my Patrons for the full-marathon support!
Ben D, Grant S, Erik S. Mark M, Phillippe S.
💪 Get my math notes by becoming a patron: / blackpenredpen
🛍 Shop my math t-shirt & hoodies: amzn.to/3qBeuw6
----------------------------------------
#blackpenredpen #math #calculus #apcalculus
0:00 AP calculus exam is coming!
0:15 Thanks to Brilliant for sponsoring this video
1:13 Q1
15:41 Q2
27:39 Q3 differential equation
43:29 Q4
1:04:30 Q5
1:15:30 Q6

Опубликовано:

28 июн 2024

Ссылка:

Скачать:

Готовим ссылку...

Добавить в:

Мой плейлист

Посмотреть позже

Комментарии : 98

@blackpenredpen 2 месяца назад

Get started with a 30-day free trial on Brilliant: 👉brilliant.org/blackpenredpen/ ( 20% off with this link!)

@Samir-zb3xk 2 месяца назад

Another 1 hour+ calculus marathon with blackpenredpen lets go 🤩

@bugsfudd8295 2 месяца назад

Yippee!!! Sharpen your pencils!!!

@Happy_Abe 2 месяца назад

For question 4, you can argue that the right endpoint 8 doesn’t need to be checked. Since f is continuous and for values to the left of x=8 f’>0, so f is increasing up to f(8) so f(8) is larger than the values immediately before it so it can’t be a minimum.

@spudhead169 2 месяца назад

You're making so much content lately, on all levels. I'm not taking exams but I've been teaching myself calculus in my spare time for a while now, mostly from watching your videos, this recent surge in content is doing my progress the world of good. Thank you.

@blackpenredpen Месяц назад

Thank you!

@debdami 2 месяца назад

In France, we use only brackets for intervals : [a,b], ]a,b[, ]a,b], [a,b[, the orientation gives the inclusion or exclusion.

@JashXD 2 месяца назад

so if i understood this right, ]a,b] means a is excluded and b is included?

@debdami 2 месяца назад

@@JashXD exactly

@Viki13 2 месяца назад

we use this in Germany aswell

@kallebanan1924 2 месяца назад

We use this in Sweden for intervals as well. However, it never crossed my mind that other countries might not use brackets that way, or that some countries don't use brackets for anything but intervals. Do you mean you use it exclusively for intervals, like do you use something else when for instance integrating in France?

@laksthegamer1185 2 месяца назад

Thank you please do the same for BC people like me too!

@aneraxxmusic2343 2 месяца назад

I was just gonna ask

@guilhermerocha2832 2 месяца назад

YAY! Hour long video. I'll spend days watching you do math! thank you

@PiMath31416 2 месяца назад

Awesome video! Next video 2023 AP calc BC FRQ’s please 😊

@munshatmuhtadee2013 2 месяца назад

My guy is always there for me!

@JashXD 2 месяца назад

at 1:17:01 u put 6x instead of 6y

@FreydaNelson Месяц назад

At 1:17:17, you turned the y into an x in your equation for 6a. This video is really helpful thanks!

@FreydaNelson Месяц назад

6y you turned into 6x, 😄

@lukaalvarez-scarborough3057 Месяц назад

I saw that too I thought I was going a little crazy

@omnib5138 2 месяца назад

Just in time! Preparing for the exam in a few weeks, Tysm!

@blackpenredpen 2 месяца назад

Good luck!!

@D144AU_Creations 2 месяца назад

This is great! Would it be possible for you to go over last year's AP Calculus BC FRQ questions? I took the BC exam last year and would be interested to revisit the questions.

@a_human_maybe2224 2 месяца назад

You are allowed to use a graphing calculator to find the derivative at a point and to integrate on calculator allowed questions, and you are not required to simplify answers as long as they are comprised of numbers

@itisajem8645 2 месяца назад

I’d love to see you do the BC test I took that and I’d love to know how it is done

@tomdiamonds100 2 месяца назад

It’s funny I remember doing these questions when I took the ap test. Great video good luck to everyone on the ap test ❤

@dogspaghetti7118 2 месяца назад

Hey man, been watching u for years. Love you and your content :)

@blackpenredpen 2 месяца назад

Thank you!

@bugsfudd8295 2 месяца назад

Do you ever do some partial DE'S?

@thomasblake3294 2 месяца назад

Great video, I was wondering whether parts always assumes u and v’ to be the same, as if you had to switch which variable was u and v’ then the DI method would not work😅

@Kuzyou Месяц назад

why did we applied that formula at 1/c/ isint it mention rate? so why we did not use f(b)-f(a)/b-a

@nathanjiang100 2 месяца назад

I took the BC exam last year! nice to see some familiar questions since AB and BC share questions and are taken at the same time (and yes, I got a 5).

@blackpenredpen 2 месяца назад

Well done!!

@remaissakhelidj6691 2 месяца назад

Please Can you do a video of 50 or 100 limit of two variables function please i have an exam next week

@moonread.1011 2 месяца назад

can you try hkdse maths extended part module 2

@kylechan5818 Месяц назад

I have a question for the AP Calculus BC test. Can you use the D I method on the AP test or would they mark you off? Thanks!

@FamilyVibesYT 2 месяца назад

find the complex values of x , y , z and A which satisfy the below equation by fulfilling the all condition or hints. x^2 + y^2 + z^2 = 2*A where x = y-1 ; y = z-1 ; z = x-1 and x + y+ z = 3/2=1.5

@FamilyVibesYT 2 месяца назад

sir plss answer i am big fans

@phoquenahol7245 13 дней назад

@@FamilyVibesYT The problem is impossible with your conditions, since if you sum the equations x = y-1 ; y = z-1 ; z = x-1, you get that x+y+z = x+y+z-3 or 0 = 3.

@osmondlin6242 2 месяца назад

Hello! I’m a high school student from Taiwan, and I’m going to take Calc BC exam in May. Can you do a past Calc BC FRQ as well? Thanks🙏🏻

@octobixer 2 месяца назад

@ 27:11 shouldn’t we split the integral from 0 to 56 the from 56 to 90 and the absolute values to together

@stephenbeck7222 2 месяца назад

On the calculator questions, you can find numerical values of definite integrals, numerical values of a derivative at a certain point, or solutions to an equation, all with a calculator without showing any work as long as you write the set up on the paper (write what integral or what derivative you’re doing, but no need to write any chain rules or anything like that). I’d say it’s not only allowed but encouraged and expected. The point of the question is really that they’re testing your interpretation of what the derivative or integral means, not just how to take it by hand - they have other questions for that.

@jeremydarcangeli7093 2 месяца назад

If only I had calculus questions like these in high school... Not focusing on mechanisation and memorization of formulas and rules, but actually thinking

@FreydaNelson Месяц назад

can you please make more FRQs from ap calc ab exams? I have the test next monday

@austinclees9252 2 месяца назад

Remember taking this. Thankful I got a 5

@profenk 2 месяца назад

Bro I’ve been waiting for bprp to make AP Calc content for SOOO long

@minkyaw351 2 месяца назад

In FRQ, we can use calculator to solve for answer. Only in MCQ, there is calculator and non calculator session.

@munshatmuhtadee2013 2 месяца назад

No, for the first part of frq which consists of 2 questions calculators are allowed, but the last four questions are no calculator questions

@Careerhumresource 2 месяца назад

It's crazy that ive learned calculus from you! Im only 11

@OldestHouse 2 месяца назад

You should check out the Math exam in the Greek Panhellenic Exams some time

@munshatmuhtadee2013 2 месяца назад

24:00 little confused about this part. What if v(t) and a(t) have different signs?

@redpug5042 2 месяца назад

if v is + and a is -, it is slowing down. if v is + and a is +, it is speeding up if v is - and a is -, it is speeding up if v is - and a is +, it is slowing down. Just check if the acceleration is in the same direction of the velocity to see if it's speeding up.

@munshatmuhtadee2013 2 месяца назад

@@redpug5042 tysm

@hyperion789 2 месяца назад

The funny thing is I often catch myself looking at the videos involving college level math tournaments or really weird looking math problems out of curiosity instead of doing homework for calc AB lol. Thank you for the practice.

@user-nk9gn8ge5b 2 месяца назад

Hello everyone, I have one question, what is (x^y)' equals?

@8bitgdhaxz Месяц назад

Yo this was the one I did last year

@ph1lodox361 2 месяца назад

Hi man, I need your help with this trig equation. I can't seem to be able to solve it every time i think im close to a solution, the equation strays further from a possible solution. Please help! This is the equation: 3sin(x) + 4cos(x) = 5sin(x)cos(x).

@josuealeman853 2 месяца назад

How do I activate the 30-day free trial on Brilliant? It only says 20% discount on 1 year subscription, lol

@sameerkatte4895 2 месяца назад

PLEASE DO THE AP CALC BC EXAM NEXT

@RebornKaotic 2 месяца назад

Do for bc!!

@user-nc4jx4oe5b 2 месяца назад

Can anyone help me with this integral I can't solve it. Integral of lnx/x

@elijahrowland 2 месяца назад

dy/dx=-fx/fy

@cdkw2 2 месяца назад

Never heard of this exam, is it world wide or just the US? I'd love to try it!

@munshatmuhtadee2013 2 месяца назад

Its a high school level calculus test in US

@cdkw2 2 месяца назад

@@munshatmuhtadee2013 hmmmm, thanks

@parallax1928 2 месяца назад

At 19:25 im 99% sure you need a sign chart just because his velocity decreases to 0 doesn't nessecarily mean it must mean a direction change afaik

@carultch 2 месяца назад

In general, yes. Velocity can decrease to zero without a change in direction. Case and point, a stop sign. Mathematically, this would be like the inflection point in y=x^3, where you have a stationary point without a local minimum or maximum. For this example, since the given function is a sine function of time, this tells us that all stationary points are local min/max points as well, that come as a package deal with a change in direction.

@mrvortex8885 2 месяца назад

Anyone know how to solve 12.8(x+2^x)=x^x

@MATHS_FOR_FUN 2 месяца назад

Please sir integrate [2+(x)^½]/[x+(x)^½+1]^2 dx , i don't know how to integrate it 😱

@tmann986 2 месяца назад

I have no idea why you on a white board is my favorite form of learning math. Chalk board even better but I understand having the question in plain view is preferable which these long questions! 😊

@blackpenredpen 2 месяца назад

Thanks! Yea, there were too many word questions so I thought iPad would be the best : )

@tmann986 2 месяца назад

@@blackpenredpen oh wow! Yeah totally! My diff eq professor would use the projector to display the problem from power point and then since the background is the white board solve the problem! Ofc there was a clicker to go to the next slide 🛝. I once did a final exam by oral exam where my linear algebra professor would ask me questions and hand me the chalk and I would go to the chalk board and explain the whole process 🥰 life changing experience and my first “A” in a math class in college 🤘🏼I have a weird obsession with black boards since then 🤭

@amirkamar8629 2 месяца назад

Can you do the IB calculus exam next ❤️❤️and please say hi to dr peyam from Amir.

@user-wh2ym6hg9f Месяц назад

I would like to know whether the problems are the real 2023 AB test problems last year?

@blackpenredpen Месяц назад

Link in description

@user-wh2ym6hg9f Месяц назад

@@blackpenredpen And sir, in 56:45, why we need to integrate like that? I'm wondering if I met the same situation, can I use the same way like you did? Thank you for your help!

@user-kr9fp4eg7m 2 месяца назад

Ham India se roj dekhte hai aapka class

@thevaol1259 2 месяца назад

Calculus 1 5h

@mayureshious 2 месяца назад

What is AP and AB means?

@carultch 2 месяца назад

AP = advanced placement. Not sure about AB.

@tuliptuliptuliptuliptulipt6533 2 месяца назад

AP means advance placement. AP courses are courses with exams made by College Board. Said exams can allow you to skip certain courses in most colleges. College Board used to split Calculus between A, B, and C, each just being a different level of Calculus. But they changed to just have AB (so stuff from the A course and B course) and BC (stuff from the B course and C course)

@stephenbeck7222 2 месяца назад

@@tuliptuliptuliptuliptulipt6533 A used to stand for Precalculus, B for Calc 1 and C for Calc 2. Now (for over 20 years) there are no Precalculus questions unless you count some limit and continuity stuff, so it’s really more like B and BC. The BC exam has all the same content as AB as ‘fair game’ on the test plus a few more chapters on top. The AB exam covers a little more than what most colleges cover in Calc 1 and the BC exam covers a little less than college Calc 2.