Revisiting the AP Calc BC FRQ that I took back in high school

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  • เผยแพร่เมื่อ 1 ม.ค. 2025

ความคิดเห็น • 167

  • @blackpenredpen
    @blackpenredpen  3 ปีที่แล้ว +139

    Me in high school 0:33

    • @fuji_films
      @fuji_films 3 ปีที่แล้ว +1

      😄

    • @ojaskumar521
      @ojaskumar521 3 ปีที่แล้ว +1

      Imagine bprp sir when young
      Lol you looked really good!

    • @JashXD
      @JashXD 3 ปีที่แล้ว

      :D

    • @Jatin-gm5zx
      @Jatin-gm5zx 3 ปีที่แล้ว +1

      Hey can u give me the answer of Laplace of x^-3/2

    • @اسماءعلاءالدين-ض6ح
      @اسماءعلاءالدين-ض6ح 3 ปีที่แล้ว

      ممكن ترجمه بالعربي للفيديو Can I translate it in Arabic for the video please

  • @stephenbeck7222
    @stephenbeck7222 3 ปีที่แล้ว +96

    Good luck to everyone testing on Tuesday the 4th!
    May the fourth integrate well with you.

  • @SyberMath
    @SyberMath 3 ปีที่แล้ว +39

    I used to teach AP Calculus AB and that was one of the most fun experiences that I had. One of my favorites is related rates and the other one is optimization problems!
    It's amazing how a teacher can make such a huge difference in your life. My 8th grade math teacher was one of the best teachers that I have ever seen in my life and he is the one who inspired me to pursue math.
    Btw, great video! 🤩

    • @blackpenredpen
      @blackpenredpen  3 ปีที่แล้ว +2

      Thanks for sharing! : )

    • @SyberMath
      @SyberMath 3 ปีที่แล้ว +1

      @@blackpenredpen Absolutely! Thank you!

  • @MackoWackoGaming
    @MackoWackoGaming 3 ปีที่แล้ว +85

    good luck to all you brethren taking the calc bc exam this year :)

  • @griffisme4833
    @griffisme4833 3 ปีที่แล้ว +27

    47:31 is the funniest thing I have seen in a while

  • @stephenbeck7222
    @stephenbeck7222 3 ปีที่แล้ว +28

    Interesting that the first two ‘calculator’ problems would not have been too bad and certainly possible for a first year student without a calculator. Recent exam questions pretty much always give crazy equations on the calculator section (more like your #3) to hopefully make it obvious that they want you to go immediately to go to the calculator after setting up the integral or derivative.

  • @phinnyfarr8916
    @phinnyfarr8916 ปีที่แล้ว +2

    I love how the non-college board released videos are more helpful than the actual AP review videos

  • @dr.kelpshake4573
    @dr.kelpshake4573 3 ปีที่แล้ว +1

    Came here after taking the AP Calc BC exam. Thank you so much for the help this schoolyear; you're amazing!

  • @MathElite
    @MathElite 3 ปีที่แล้ว +7

    First :DDDD
    congrats on 700k that is epic

  • @anshumanagrawal346
    @anshumanagrawal346 3 ปีที่แล้ว +1

    33:16 That's easy AF, I can do it in my head, right side of the numerator becomes zero because it's being multiplied by 3×2 -2×3. Then it just becomes -2(something) ÷ (something)^2 = -2/7
    Now (something) = 16-9 =7

  • @AlbertoRamirez-cw6dy
    @AlbertoRamirez-cw6dy 3 ปีที่แล้ว +4

    0:33 The sensei of the sensei?

  • @orenfivel6247
    @orenfivel6247 3 ปีที่แล้ว

    41:20
    Q6 can be solve by expanding sin(5x+π/4)= cos(π/4)sin(5x) + sin(π/4)cos(5x) and writing each sin(5x) & cos(5x) as taylor series in (5x)…

  • @raysmith6731
    @raysmith6731 3 ปีที่แล้ว +65

    Ayy I’ve got my BC test this Tuesday so this is great practice 😁

  • @wingedshell3518
    @wingedshell3518 3 ปีที่แล้ว +31

    It makes sense that I’m able to do these problems because I’m in bc right now, but it’s weird because this is a bprp video lol

    • @aashsyed1277
      @aashsyed1277 3 ปีที่แล้ว

      DAMN I LOVE YOU....

    • @user-fn4ds7zm1i
      @user-fn4ds7zm1i 3 ปีที่แล้ว

      This was me last year. I was shook at the fact that I solved the problems. Surprisingly, I still know my calculus

  • @jcb3393
    @jcb3393 3 ปีที่แล้ว +1

    1:31 - "for this, we can just use the calculator..."
    Me, taking the exam in 1989: "What? You have a calculator that just spits out this answer? I have to show my work, but you get to use a calculator?!?"

    • @anonymous-zt5jq
      @anonymous-zt5jq 3 ปีที่แล้ว

      we have to show work for certain sections, as this is just a part of the problem, using a calculator would be faster

  • @alberteinstein3612
    @alberteinstein3612 3 ปีที่แล้ว +19

    This is good practice for my BC exam coming up
    Ty bprp :)

    • @blackpenredpen
      @blackpenredpen  3 ปีที่แล้ว +14

      Glad to hear that. And thanks for coming Albert!

  • @tomcat1184
    @tomcat1184 3 ปีที่แล้ว +6

    In my high school , the only thing I do is "BAKCHODI"

  • @lesterdavepaguio4680
    @lesterdavepaguio4680 3 ปีที่แล้ว +11

    I miss doing these problems. I’d rather do these problems than real analysis 😫

  • @powellmunroholzner2941
    @powellmunroholzner2941 3 ปีที่แล้ว +3

    You have an error at 18:50! The result should be negative, not positive. Great work as always, you've helped me so much for BC Calc this year :)

    • @terraria2009
      @terraria2009 3 ปีที่แล้ว

      Yeah I saw that too and was like: he's probably going to notice right?

  • @spencersant5281
    @spencersant5281 3 ปีที่แล้ว +8

    I’m only in calc A rn but hopefully this helps me out next year!!
    Thanks for this wonderful walkthrough!

    • @blackpenredpen
      @blackpenredpen  3 ปีที่แล้ว +6

      Half of these were in AB as well. See description for it. Best wishes for u

    • @spencersant5281
      @spencersant5281 ปีที่แล้ว +2

      @@blackpenredpenI ended up getting a 5 on the BC test!

  • @DrLongWang
    @DrLongWang 3 ปีที่แล้ว +19

    This makes the AP calc test feel so much easier, hopefully the test on Tuesday is as easy as this.

    • @stephenbeck7222
      @stephenbeck7222 3 ปีที่แล้ว +4

      The current test/expectations have gone through 2 major revisions I think, and the one in 2017 expects much more verbal analysis (more words to justify your work), though not much more complex actual calculations. Good luck!

    • @blackpenredpen
      @blackpenredpen  3 ปีที่แล้ว +3

      Best of luck!

    • @griffisme4833
      @griffisme4833 3 ปีที่แล้ว

      It won't be sadly, I wish.

    • @DrLongWang
      @DrLongWang 3 ปีที่แล้ว +3

      @@blackpenredpen Legally I’m not allowed to say any frq problems on the test were similar to one or more frq questions you covered here. But hypothetically speaking, if one of the frq questions was similar to one you went over, I would have gotten it right because of this video. Hypothetically of course.

  • @x-aviermiller6885
    @x-aviermiller6885 3 ปีที่แล้ว +13

    Can you do an Algebra and Trig walk through from subject begining to end?

    • @lifefutile7974
      @lifefutile7974 3 ปีที่แล้ว

      th-cam.com/video/u9pgDfpY-z4/w-d-xo.html

  • @ahmedamen9791
    @ahmedamen9791 3 ปีที่แล้ว +4

    love you Steve, Ahmed from Egypt😍😍😍

  • @monmoymaahdie3177
    @monmoymaahdie3177 3 ปีที่แล้ว +4

    Imagine steve with his high school hair and his current beard

  • @rice3259
    @rice3259 3 ปีที่แล้ว +2

    At 18:48, the answer should have been -2.983

    • @blackpenredpen
      @blackpenredpen  3 ปีที่แล้ว

      Yes. I forgot the negative.... like always 😆

  • @익명-x9w
    @익명-x9w 3 ปีที่แล้ว

    Coming back after acing Ap Calc BC. Really appreciated

  • @josephtraverso2700
    @josephtraverso2700 3 ปีที่แล้ว +6

    Good luck to everyone on APs! Y’all gonna kill it just relax!! 👍🏼👍🏼

  • @Grak70
    @Grak70 3 ปีที่แล้ว +2

    For 1b) I would have just argued the argument is 7/2=3.5 which is more than pi but less than 3pi/2. Sine is decreasing on this interval. You gotta save as much time as possible on these exams! :-)

  • @BiscuitZombies
    @BiscuitZombies 3 ปีที่แล้ว +2

    Interesting. These questions are all pretty standard and familiar in the Specialist Maths high school subject in Australia (with the exception of taylor series).

  • @JaskaranSingh-dz2wt
    @JaskaranSingh-dz2wt 3 ปีที่แล้ว +1

    A good student always thanks his good teacher

  • @guillermoaguilar2235
    @guillermoaguilar2235 3 ปีที่แล้ว +4

    This is great! Could you also do something similar for an IB Analysis and Approaches Higher Level paper? Thanks and love your content

  • @riccardomarino9786
    @riccardomarino9786 3 ปีที่แล้ว +3

    In exercise 3 question b -7/(3+cos(2²))=-2.983 not 2.983

  • @EzWin
    @EzWin 3 ปีที่แล้ว +5

    that first question was so easy. im hoping for a question like that on the 24th

    • @spendroid8952
      @spendroid8952 3 ปีที่แล้ว +2

      Well just took the test and lemme say, it was nothing like this lol

  • @jcb3393
    @jcb3393 3 ปีที่แล้ว +1

    Wow, I feel old... I took the Calc BC exam in 1989 (11th grade).
    How is this dude 15 years younger than me?

  • @citizencj3389
    @citizencj3389 3 ปีที่แล้ว

    Just watching you reminiscence back in the high school days and you realize it was a 17 years ago. I started laughing when you had existential crisis. I bet you were having an inner monologue saying "Has 17 years really passed? I am getting old...."

  • @twoblacks774
    @twoblacks774 3 ปีที่แล้ว

    I would have been so happy to get that first frq on my calc ab exam this year

  • @kentonjones5394
    @kentonjones5394 3 ปีที่แล้ว

    Congrats AGAIN 17 yrs

  • @Christian_Martel
    @Christian_Martel 2 ปีที่แล้ว +1

    Nice tribute to Mr. Schneider. 👍🏽

  • @mainakgoswami21
    @mainakgoswami21 3 ปีที่แล้ว +3

    You should try the claculus questions from Indian Statistical Institute (ISI) entrance test. They are very tough.

  • @GhostyOcean
    @GhostyOcean 3 ปีที่แล้ว +1

    I think there is a mistake on 3b.
    (-7)/(3+cos(4)) = -1.751

  • @ahmetselim1166
    @ahmetselim1166 ปีที่แล้ว

    16:00 what is the k value

  • @Bronzeskittle
    @Bronzeskittle 3 ปีที่แล้ว +1

    When I was a senior in hs I was just taking precalc... I wish I had taken hs more seriously

  • @swaagg11
    @swaagg11 3 ปีที่แล้ว +1

    Thank you, my teacher can go on tangents while lecturing so I miss some things. This was really helpful :D

  • @manavaggarwal2714
    @manavaggarwal2714 3 ปีที่แล้ว

    Can we expect a course on combinatorics on your channel it will be really helpful!

  • @aintaintaword666
    @aintaintaword666 3 ปีที่แล้ว +3

    18:47 there's no way that could equal a positive number, look again

  • @ryanjagpal9457
    @ryanjagpal9457 3 ปีที่แล้ว +1

    Calculators don’t do calculus they use numbers right?

  • @O_Capivara
    @O_Capivara 3 ปีที่แล้ว

    55:17 that's the moment when you think about your life

  • @koenth2359
    @koenth2359 3 ปีที่แล้ว

    2004 BC?? Man you have a beard, but I didn't expect you to be that old!

  • @ivanelielfernandezquetegua5683
    @ivanelielfernandezquetegua5683 3 ปีที่แล้ว

    Thanks and greetings from Bolivia!!

  • @SWASTIKB306
    @SWASTIKB306 3 ปีที่แล้ว

    Damn this paper is damn easy .glad you are a good teacher

  • @simonwillover4175
    @simonwillover4175 3 ปีที่แล้ว

    Why all these numeric answers rather than precise concise expressions in terms of sin and cos.

  • @alphaomega1089
    @alphaomega1089 3 ปีที่แล้ว +2

    "I will tell those gods you helped in trusts in the maths!" -- peace on you.

  • @arielfuxman8868
    @arielfuxman8868 3 ปีที่แล้ว

    Can you please do 100 double integrals?

  • @aashsyed1277
    @aashsyed1277 3 ปีที่แล้ว

    IS THIS PRE RECORDED?

  • @LilithLuz2
    @LilithLuz2 3 ปีที่แล้ว

    Me, a new calc 1 student after question 1: "Wow that wasn't actually that hard" 😄
    Me after skipping to the last question: 💀

  • @einsteingonzalez4336
    @einsteingonzalez4336 3 ปีที่แล้ว

    But AP reuses the test questions, right?

  • @rohitibtashum6861
    @rohitibtashum6861 3 ปีที่แล้ว

    i like your class . it's very helpful for me .

  • @zapking8209
    @zapking8209 3 ปีที่แล้ว

    This is foreshadowing for next year for me

  • @NakulGanapathy
    @NakulGanapathy 3 ปีที่แล้ว

    I’m in AB calc and the first 5 questions are all things we learned this year 😂 I’m not so scared for bc rn

  • @deepakgoyal3250
    @deepakgoyal3250 3 ปีที่แล้ว

    Sir i want to share a question to you how can i

  • @mikeh283
    @mikeh283 3 ปีที่แล้ว +1

    Couldn't you just say approx 82 cars per min for (c)? What after all, is 81.899 cars? 81 and an accident?

    • @blackpenredpen
      @blackpenredpen  3 ปีที่แล้ว +2

      I went with the official answer. I think we can have decimal for rates.

    • @mikeh283
      @mikeh283 3 ปีที่แล้ว +1

      @@blackpenredpen It would have caused me to waste time lol. Love your channel sir.
      If you have the inclination, could you do some vector calculus content, line integrals, divergence theorem, etc..?? Thank you for your time regardless

    • @blackpenredpen
      @blackpenredpen  3 ปีที่แล้ว

      Maybe in the future. Thanks for the comments.

  • @jonathanmcgreal234
    @jonathanmcgreal234 3 ปีที่แล้ว +1

    May the 4th be with you, administration round 1 students!
    They're doing three rounds for the exam this year FYI. May 4th, May 24th, and an online one in June.

    • @blackpenredpen
      @blackpenredpen  3 ปีที่แล้ว

      Yea and do you think that’s a good idea? Are they just going to give 3 different tests?

    • @jonathanmcgreal234
      @jonathanmcgreal234 3 ปีที่แล้ว +1

      @@blackpenredpen Yep, three different tests. The online one will likely look pretty different as well since there are too many online tools that can solve basic integrals and such. I think BC needed this. I follow the AP Calculus teacher community on Facebook pretty closely and it is clear that some classes/schools really need the extra time since every district this year has handled class times and meeting arrangements differently. Personally, I was able to finish the curriculum in time, but about three weeks later than I would have liked, so I gave my students the choice on what date they'd like to take it and it was a pretty 50/50 split between the two in-person dates. I'm calling my May 4thers the scouts for the May 24thers!

    • @blackpenredpen
      @blackpenredpen  3 ปีที่แล้ว

      @@jonathanmcgreal234 Ah I see. I wish your students the best of luck! : )

  • @lelouchlemprouge6380
    @lelouchlemprouge6380 3 ปีที่แล้ว +1

    Gotta love that shinchan on right side ❤️

  • @hke.4475
    @hke.4475 3 ปีที่แล้ว

    how was integral of cos(t^2) calculated?

  • @arizalam6195
    @arizalam6195 3 ปีที่แล้ว

    Can anyone tell me how to ask a question from him,I mean how to reach to him to ask a question

  • @abhishekprasad6350
    @abhishekprasad6350 3 ปีที่แล้ว +1

    Petition for using the the derivative wrt fish

  • @joshmcdouglas1720
    @joshmcdouglas1720 3 ปีที่แล้ว

    I’m in precal this year and I take BC next year and I’m very scared now lol :/

  • @musabumair6151
    @musabumair6151 3 ปีที่แล้ว +1

    Did u get a 5 sir?

  • @garrettfraley8625
    @garrettfraley8625 3 ปีที่แล้ว +1

    got a 5 on mine last year🤝 good luck all

  • @익명-x9w
    @익명-x9w 3 ปีที่แล้ว

    This is awesome

  • @soleunderdeepsea6585
    @soleunderdeepsea6585 3 ปีที่แล้ว

    Love from Bangladesh ❤️

  • @maldav4525
    @maldav4525 3 ปีที่แล้ว

    Can someone tell me how old are the person that passes this type of exam ? Thank you so much !

  • @tahsintarif6864
    @tahsintarif6864 3 ปีที่แล้ว

    Can someone tell me who takes AP Exams and what is it for?

  • @ryanjagpal9457
    @ryanjagpal9457 3 ปีที่แล้ว +1

    Why are these questions so complicated? And I ain’t at calculus i’m in 10th grade

    • @ryanjagpal9457
      @ryanjagpal9457 3 ปีที่แล้ว

      @ゴゴ Joji Joestar ゴゴ Sorry?

    • @noahtawil8793
      @noahtawil8793 3 ปีที่แล้ว +1

      @@ryanjagpal9457 it won’t seem that complicated once you learn calculus

    • @ryanjagpal9457
      @ryanjagpal9457 3 ปีที่แล้ว

      @@noahtawil8793 It seems difficult to answer questions of it like they change it and then change from tan to like sec^2 and i’m like this is nothing to do with maths this is just puzzles

  • @kraze4kicks822
    @kraze4kicks822 3 ปีที่แล้ว

    Calc BC test tomorrow, wish me luck

    • @elimarburger1659
      @elimarburger1659 3 ปีที่แล้ว

      The frqs weren't too nice this year

    • @kraze4kicks822
      @kraze4kicks822 3 ปีที่แล้ว

      @@elimarburger1659 IKR I felt like the multiple choice was very easy, and even the calculator free responses weren’t bad, but the no calc free response was hard

  • @jamirimaj6880
    @jamirimaj6880 3 ปีที่แล้ว +1

    THAT'S HIGH SCHOOL MATHS?!?!?! damn

    • @Skankhunt-mv4vd
      @Skankhunt-mv4vd 3 ปีที่แล้ว

      are you trying to say its hard or easy?

  • @theCDGeffect
    @theCDGeffect 3 ปีที่แล้ว

    LOL you got me at 47:30

  • @ardaanil9398
    @ardaanil9398 3 ปีที่แล้ว +2

    i will take calculus bc tomorrow wish me luck guys

    • @blackpenredpen
      @blackpenredpen  3 ปีที่แล้ว

      Best of luck!!

    • @ardaanil9398
      @ardaanil9398 3 ปีที่แล้ว

      @@blackpenredpen omg thank you so much

    • @ardaanil9398
      @ardaanil9398 3 ปีที่แล้ว

      FRQ part was really hard but i hope i can get a 5 with multiple :)

  • @Kdd160
    @Kdd160 3 ปีที่แล้ว +1

    Who else noticed the Shinchan on the right?

  • @menkiguo7805
    @menkiguo7805 3 ปีที่แล้ว +1

    2 days to my first AP

    • @blackpenredpen
      @blackpenredpen  3 ปีที่แล้ว

      Best of luck!

    • @menkiguo7805
      @menkiguo7805 3 ปีที่แล้ว +1

      @@blackpenredpen thank you! But I do not have any math APs (if computer science a and statistics do not count as math) though, lol!
      I am also Chinese btw

  • @mohamedsahtout5037
    @mohamedsahtout5037 3 ปีที่แล้ว

    I hope God bless you

  • @Robert-el2mf
    @Robert-el2mf 3 ปีที่แล้ว

    Hey bprp i hope you find this comment
    Can you do a video on the following limit?
    Lim n-> inf (ln(n!)/n)
    important to mention**
    Its a calc 2 question(so without gamma function)and its a proof:
    proof that this limit= infinity.

  • @rehan6018
    @rehan6018 3 ปีที่แล้ว

    I get free motivation by the way you speak and do math
    Blackpenredpen is best!

  • @wheatblue7592
    @wheatblue7592 3 ปีที่แล้ว

    This may be an odd unrelated question, but are you a Muslim?

  • @samkuo7501
    @samkuo7501 8 หลายเดือนก่อน

    Question 3 is wrong. Should be -2.98

  • @cookienguyen7902
    @cookienguyen7902 3 ปีที่แล้ว

    Uhh my AB calc exam I took like 3 days ago was much harder than this...and this is BC

    • @seanshameless0
      @seanshameless0 3 ปีที่แล้ว +2

      Yeah curriculum has changed a lot since ‘04

  • @bhabanidas1459
    @bhabanidas1459 3 ปีที่แล้ว

    I like how most questions are jee main level😀😀

  • @eIonmuskofficial
    @eIonmuskofficial 3 ปีที่แล้ว

    JEE Advance: Am i a joke to you!

  • @zombiekiller7101
    @zombiekiller7101 3 ปีที่แล้ว

    Yaha pe mat aao. Live comment pe jao

  • @ahmedkizzine7313
    @ahmedkizzine7313 3 ปีที่แล้ว

    Who knows Ramadan here🙂🙂

  • @yuvalnachum4190
    @yuvalnachum4190 3 ปีที่แล้ว +1

    second :C

  • @karanjadhav818
    @karanjadhav818 3 ปีที่แล้ว +1

    In India,JEE ADVANCED is harder than these Qs!😂

  • @saloni_chaudhary1420
    @saloni_chaudhary1420 3 ปีที่แล้ว

    Thirddd

  • @lelouchlemprouge6380
    @lelouchlemprouge6380 3 ปีที่แล้ว +1

    Well When you realise all questions are damn easy for a JEE aspirant 😂😂😂
    In India these questions are given to 11th standard students to solve lol

  • @billybob9524
    @billybob9524 3 ปีที่แล้ว

    Shave that beard bruh

  • @karanjadhav818
    @karanjadhav818 3 ปีที่แล้ว

    In India, JEE ADVANCED maths is higher level than these Qs! Hit like if you agree!

    • @phantom_drone
      @phantom_drone 3 ปีที่แล้ว

      Isn't that a bad thing though? Easier is good.

    • @karanjadhav818
      @karanjadhav818 3 ปีที่แล้ว

      Ig the harder the better...Or else you won't learn anything new

    • @phantom_drone
      @phantom_drone 3 ปีที่แล้ว

      @@karanjadhav818 good point

  • @ahmedkizzine7313
    @ahmedkizzine7313 3 ปีที่แล้ว

    Who knows Ramadan here🙂🙂