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

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  • Опубликовано: 22 авг 2024

Комментарии • 168

  • @blackpenredpen
    @blackpenredpen  3 года назад +138

    Me in high school 0:33

    • @fuji_films
      @fuji_films 3 года назад +1

      😄

    • @ojaskumar521
      @ojaskumar521 3 года назад +1

      Imagine bprp sir when young
      Lol you looked really good!

    • @JashXD
      @JashXD 3 года назад

      :D

    • @Jatin-gm5zx
      @Jatin-gm5zx 3 года назад +1

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

    • @user-xo8dn9jc8w
      @user-xo8dn9jc8w 3 года назад

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

  • @SyberMath
    @SyberMath 3 года назад +38

    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 года назад +2

      Thanks for sharing! : )

    • @SyberMath
      @SyberMath 3 года назад +1

      @@blackpenredpen Absolutely! Thank you!

  • @MackoWackoGaming
    @MackoWackoGaming 3 года назад +83

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

  • @stephenbeck7222
    @stephenbeck7222 3 года назад +94

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

  • @stephenbeck7222
    @stephenbeck7222 3 года назад +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.

  • @griffisme4833
    @griffisme4833 3 года назад +24

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

  • @raysmith6731
    @raysmith6731 3 года назад +65

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

  • @alberteinstein3612
    @alberteinstein3612 3 года назад +19

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

    • @blackpenredpen
      @blackpenredpen  3 года назад +14

      Glad to hear that. And thanks for coming Albert!

  • @phinnyfarr8916
    @phinnyfarr8916 Год назад +2

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

  • @dr.kelpshake4573
    @dr.kelpshake4573 3 года назад +1

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

  • @DrLongWang
    @DrLongWang 3 года назад +19

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

    • @stephenbeck7222
      @stephenbeck7222 3 года назад +5

      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 года назад +3

      Best of luck!

    • @griffisme4833
      @griffisme4833 3 года назад

      It won't be sadly, I wish.

    • @DrLongWang
      @DrLongWang 3 года назад +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.

  • @lesterdavepaguio4680
    @lesterdavepaguio4680 3 года назад +11

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

  • @spencersant5281
    @spencersant5281 3 года назад +7

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

    • @blackpenredpen
      @blackpenredpen  3 года назад +5

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

    • @spencersant5281
      @spencersant5281 Год назад +1

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

  • @MathElite
    @MathElite 3 года назад +7

    First :DDDD
    congrats on 700k that is epic

  • @wingedshell3518
    @wingedshell3518 3 года назад +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 года назад

      DAMN I LOVE YOU....

    • @user-fn4ds7zm1i
      @user-fn4ds7zm1i 3 года назад

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

  • @AlbertoRamirez-cw6dy
    @AlbertoRamirez-cw6dy 3 года назад +4

    0:33 The sensei of the sensei?

  • @josephtraverso2700
    @josephtraverso2700 3 года назад +6

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

  • @ahmedamen9791
    @ahmedamen9791 3 года назад +4

    love you Steve, Ahmed from Egypt😍😍😍

  • @user-yw1ln8yj9m
    @user-yw1ln8yj9m 2 года назад

    Coming back after acing Ap Calc BC. Really appreciated

  • @powellmunroholzner2941
    @powellmunroholzner2941 3 года назад +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 года назад

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

  • @EzWin
    @EzWin 3 года назад +5

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

    • @spendroid8952
      @spendroid8952 3 года назад +2

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

  • @anshumanagrawal346
    @anshumanagrawal346 3 года назад +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

  • @tomcat1184
    @tomcat1184 3 года назад +6

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

  • @JaskaranSingh-dz2wt
    @JaskaranSingh-dz2wt 3 года назад +1

    A good student always thanks his good teacher

  • @x-aviermiller6885
    @x-aviermiller6885 3 года назад +13

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

    • @lifefutile7974
      @lifefutile7974 3 года назад

      ruclips.net/video/u9pgDfpY-z4/видео.html

  • @BiscuitZombies
    @BiscuitZombies 2 года назад +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).

  • @jcb3393
    @jcb3393 3 года назад +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 года назад

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

  • @riccardomarino9786
    @riccardomarino9786 3 года назад +3

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

  • @Grak70
    @Grak70 3 года назад +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! :-)

  • @guillermoaguilar2235
    @guillermoaguilar2235 3 года назад +4

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

  • @monmoymaahdie3177
    @monmoymaahdie3177 3 года назад +4

    Imagine steve with his high school hair and his current beard

  • @twoblacks774
    @twoblacks774 3 года назад

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

  • @swaagg11
    @swaagg11 3 года назад +1

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

  • @Christian_Martel
    @Christian_Martel 2 года назад +1

    Nice tribute to Mr. Schneider. 👍🏽

  • @orenfivel6247
    @orenfivel6247 3 года назад

    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)…

  • @jcb3393
    @jcb3393 3 года назад +1

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

  • @koenth2359
    @koenth2359 3 года назад

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

  • @mainakgoswami21
    @mainakgoswami21 3 года назад +3

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

  • @ivanelielfernandezquetegua5683
    @ivanelielfernandezquetegua5683 3 года назад

    Thanks and greetings from Bolivia!!

  • @rice3259
    @rice3259 3 года назад +2

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

    • @blackpenredpen
      @blackpenredpen  3 года назад

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

  • @rohitibtashum6861
    @rohitibtashum6861 3 года назад

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

  • @NakulGanapathy
    @NakulGanapathy 3 года назад

    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

  • @kentonjones5394
    @kentonjones5394 3 года назад

    Congrats AGAIN 17 yrs

  • @Bronzeskittle
    @Bronzeskittle 3 года назад +1

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

  • @SWASTIKB306
    @SWASTIKB306 3 года назад

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

  • @citizencj3389
    @citizencj3389 2 года назад

    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...."

  • @alphaomega1089
    @alphaomega1089 3 года назад +2

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

  • @GhostyOcean
    @GhostyOcean 3 года назад +1

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

  • @zapking8209
    @zapking8209 3 года назад

    This is foreshadowing for next year for me

  • @garrettfraley8625
    @garrettfraley8625 3 года назад +1

    got a 5 on mine last year🤝 good luck all

  • @lelouchlemprouge6380
    @lelouchlemprouge6380 3 года назад +1

    Gotta love that shinchan on right side ❤️

  • @LilithLuz2
    @LilithLuz2 2 года назад

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

  • @aintaintaword666
    @aintaintaword666 3 года назад +3

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

  • @jonathanmcgreal234
    @jonathanmcgreal234 3 года назад +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 года назад

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

    • @jonathanmcgreal234
      @jonathanmcgreal234 3 года назад +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 года назад

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

  • @ryanjagpal9457
    @ryanjagpal9457 3 года назад +1

    Calculators don’t do calculus they use numbers right?

  • @abhishekprasad6350
    @abhishekprasad6350 3 года назад +1

    Petition for using the the derivative wrt fish

  • @manavaggarwal2714
    @manavaggarwal2714 3 года назад

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

  • @jamirimaj6880
    @jamirimaj6880 3 года назад +1

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

  • @O_Capivara
    @O_Capivara 3 года назад

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

  • @user-yw1ln8yj9m
    @user-yw1ln8yj9m 3 года назад

    This is awesome

  • @mikeh283
    @mikeh283 3 года назад +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 года назад +2

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

    • @mikeh283
      @mikeh283 3 года назад +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 года назад

      Maybe in the future. Thanks for the comments.

  • @simonwillover4175
    @simonwillover4175 2 года назад

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

  • @soleunderdeepsea6585
    @soleunderdeepsea6585 3 года назад

    Love from Bangladesh ❤️

  • @ardaanil9398
    @ardaanil9398 3 года назад +2

    i will take calculus bc tomorrow wish me luck guys

    • @blackpenredpen
      @blackpenredpen  3 года назад

      Best of luck!!

    • @ardaanil9398
      @ardaanil9398 3 года назад

      @@blackpenredpen omg thank you so much

    • @ardaanil9398
      @ardaanil9398 3 года назад

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

  • @mohamedsahtout5037
    @mohamedsahtout5037 3 года назад

    I hope God bless you

  • @kraze4kicks822
    @kraze4kicks822 3 года назад

    Calc BC test tomorrow, wish me luck

    • @elimarburger1659
      @elimarburger1659 3 года назад

      The frqs weren't too nice this year

    • @kraze4kicks822
      @kraze4kicks822 3 года назад

      @@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

  • @BenDover69831
    @BenDover69831 3 года назад +3

    did you get a 5 on the exam tho?

    • @blackpenredpen
      @blackpenredpen  3 года назад +5

      Yes

    • @BenDover69831
      @BenDover69831 3 года назад +1

      @@blackpenredpen nice nice nice nice nice nice nice nice nice nice man, what other AP's did you take?

  • @Kdd160
    @Kdd160 3 года назад +1

    Who else noticed the Shinchan on the right?

  • @rehan6018
    @rehan6018 3 года назад

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

  • @ahmetselim1166
    @ahmetselim1166 Год назад

    16:00 what is the k value

  • @arizalam6195
    @arizalam6195 3 года назад

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

  • @theCDGeffect
    @theCDGeffect 2 года назад

    LOL you got me at 47:30

  • @hke.4475
    @hke.4475 3 года назад

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

  • @einsteingonzalez4336
    @einsteingonzalez4336 3 года назад

    But AP reuses the test questions, right?

  • @Robert-el2mf
    @Robert-el2mf 3 года назад

    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.

  • @menkiguo7805
    @menkiguo7805 3 года назад +1

    2 days to my first AP

    • @blackpenredpen
      @blackpenredpen  3 года назад

      Best of luck!

    • @menkiguo7805
      @menkiguo7805 3 года назад +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

  • @samkuo7501
    @samkuo7501 3 месяца назад

    Question 3 is wrong. Should be -2.98

  • @joshmcdouglas1720
    @joshmcdouglas1720 3 года назад

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

  • @ryanjagpal9457
    @ryanjagpal9457 3 года назад +1

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

    • @hybmnzz2658
      @hybmnzz2658 3 года назад +1

      You answered your own question :)

    • @ryanjagpal9457
      @ryanjagpal9457 3 года назад

      @@hybmnzz2658 Sorry?

    • @noahtawil8793
      @noahtawil8793 3 года назад +1

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

    • @ryanjagpal9457
      @ryanjagpal9457 3 года назад

      @@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

  • @arielfuxman8868
    @arielfuxman8868 3 года назад

    Can you please do 100 double integrals?

  • @tahsintarif6864
    @tahsintarif6864 3 года назад

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

  • @deepakgoyal3250
    @deepakgoyal3250 3 года назад

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

  • @aashsyed1277
    @aashsyed1277 3 года назад

    IS THIS PRE RECORDED?

  • @cookienguyen7902
    @cookienguyen7902 3 года назад

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

    • @seanshameless0
      @seanshameless0 3 года назад +2

      Yeah curriculum has changed a lot since ‘04

  • @maldav4525
    @maldav4525 3 года назад

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

  • @musabumair6151
    @musabumair6151 3 года назад +1

    Did u get a 5 sir?

  • @bhabanidas1459
    @bhabanidas1459 3 года назад

    I like how most questions are jee main level😀😀

  • @wheatblue7592
    @wheatblue7592 3 года назад

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

  • @eIonmuskofficial
    @eIonmuskofficial 3 года назад

    JEE Advance: Am i a joke to you!

  • @yuvalnachum4190
    @yuvalnachum4190 3 года назад +1

    second :C

  • @zombiekiller7101
    @zombiekiller7101 3 года назад

    Yaha pe mat aao. Live comment pe jao

  • @karanjadhav818
    @karanjadhav818 3 года назад +1

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

  • @lelouchlemprouge6380
    @lelouchlemprouge6380 3 года назад +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

  • @ahmedkizzine7313
    @ahmedkizzine7313 3 года назад

    Who knows Ramadan here🙂🙂

  • @saloni_chaudhary1420
    @saloni_chaudhary1420 3 года назад

    Thirddd

  • @karanjadhav818
    @karanjadhav818 3 года назад

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

    • @yagnapatel3912
      @yagnapatel3912 3 года назад

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

    • @karanjadhav818
      @karanjadhav818 3 года назад

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

    • @yagnapatel3912
      @yagnapatel3912 3 года назад

      @@karanjadhav818 good point

  • @billybob9524
    @billybob9524 3 года назад

    Shave that beard bruh

  • @ahmedkizzine7313
    @ahmedkizzine7313 3 года назад

    Who knows Ramadan here🙂🙂