AP Calculus BC Practice Exam 2012 - Calculator Multiple Choice questions 76-92

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  • Опубликовано: 29 апр 2021
  • In this video I do a speed run through the 2012 AP Calculus BC Practice Exam Calculator Multiple Choice section. I go questions 76-92 outlining strategies for many of the major topics that show up on the AP Calculus BC exam.
    I do no own the rights to the AP Calculus BC Practice Exam. This practice exam was released by college board to the public, so I put together this ad free video to help students prepare for the AP Calculus BC exam.

Комментарии • 49

  • @prestonhanzely5322
    @prestonhanzely5322 3 года назад +34

    Thank you so much for doing these videos. I used these as review for my BC exam, and, thanks to you, I think I did very well

    • @vinteachesmath
      @vinteachesmath  3 года назад +1

      I'm so glad your test went well! Thanks for supporting the channel.

  • @wenhanbao7436
    @wenhanbao7436 2 года назад +10

    Thank you so much, I'm preparing for BC these days, THAT WAS VERY HELPFUL !!!

    • @vinteachesmath
      @vinteachesmath  2 года назад +1

      Glad it was helpful! I hope your BC test goes well in May!

  • @interstellar0001
    @interstellar0001 3 года назад +14

    Thank you so much! Extremely helpful.
    For Q90, if anyone wants a faster way of doing it, take the polar area integral of the circle from 0 to 2π and subtract it from the polar area integral with bounds of 0 to π for 2cos(3x).

  • @esthernanteza7826
    @esthernanteza7826 2 года назад +2

    I passed my calculus using your videos, CLEP calculus study guide, CLEP calculus books and online test. Thanks for the videos

    • @vinteachesmath
      @vinteachesmath  2 года назад

      I am happy to help! I am very impressed with the work you put in and congrats on passing calculus.

    • @esthernanteza7826
      @esthernanteza7826 2 года назад

      @@vinteachesmath
      Thank you. I appreciate.

  • @maxfreitag9525
    @maxfreitag9525 3 года назад +5

    Late but this guy is incredible! Turned my calculus year around later on with his frq and multiple choice practice, it was a huge help on the exam! Many thanks!

    • @vinteachesmath
      @vinteachesmath  3 года назад

      I am happy to hear that this helped for the AP exam! Best wishes with this upcoming school year!

  • @spcshields979
    @spcshields979 2 года назад +2

    Thank you for making this vid it really helped a lot!!

  • @anshulgattani2561
    @anshulgattani2561 3 года назад +4

    I appreciate this so much

  • @brxyann
    @brxyann 2 года назад +2

    absolute godsend

  • @sumoattack7510
    @sumoattack7510 Год назад

    For question 91 i just used trace from the calculator to trace the curve until it reached 3.14 to determine theta. And then integrated the polar curve from 0 to pi and subtracted from the area of the circle.

  • @dale9042
    @dale9042 2 года назад +3

    40:22 dude that was the most perfect check mark

    • @vinteachesmath
      @vinteachesmath  2 года назад +3

      My best script capital B was in fifth grade, my script has gone downhill ever since. I wanted to leave school that day because I knew that I would never recreate that capital B. This comment gives me hope, thanks! Also, good luck on your AP Calc exam!

    • @musabkhan629
      @musabkhan629 2 месяца назад

      @@vinteachesmath i had the same experience in calc class when drawing a perfect integral symbol off pure luck, ive tried my best to recreate it but i can never draw another one that perfectly

  • @rohandodda4534
    @rohandodda4534 3 года назад +9

    These are so helpful!!! Thanks a lot for doing them! Could you please do a lot of practice FRQs for Calc as well? They're pretty tricky and it would be great to see your thought process! Thanks again!

    • @vinteachesmath
      @vinteachesmath  3 года назад +5

      I am glad the videos are helpful! I am building up my frq content little by little. I completed the entire 2019 BC FRQ section and will definitely be making my way through the earlier years. Thanks for watching and good luck on your AP test!

    • @alexanderficken9354
      @alexanderficken9354 3 года назад

      @@bradleyjax452 shut up

    • @alejandroforest7948
      @alejandroforest7948 3 года назад

      @Bradley Jax definitely, I've been watching on flixzone} for since november myself :D

    • @rogelioraiden8068
      @rogelioraiden8068 3 года назад

      @Bradley Jax Definitely, have been using Flixzone} for years myself :D

    • @alexanderficken9354
      @alexanderficken9354 3 года назад

      @@cannongregory6311 aaaand the scripted replies too

  • @zing.fnm.808
    @zing.fnm.808 2 месяца назад +1

    thanks

    • @vinteachesmath
      @vinteachesmath  2 месяца назад

      You're welcome! I hope the test was okay!

    • @zing.fnm.808
      @zing.fnm.808 2 месяца назад

      @@vinteachesmath it went pretty well! hopefully predicting a 4-5. this was a helpful night-before review

  • @hoyalhugor4102
    @hoyalhugor4102 3 года назад +1

    Can you please clarify why did you put r=2cos(3theta) = 0 in order the find the limit of the integral on number 91? Thank you

    • @ajl4878
      @ajl4878 Год назад

      This helps us to find the bounds of one petal because that is where the petal passes through theta=0, which we then multiply by 3 to get the whole rose curve’s area.

  • @averageytwatcher2060
    @averageytwatcher2060 2 года назад +4

    Is the 2012 exam still comparable to more recent exams?

    • @vinteachesmath
      @vinteachesmath  2 года назад +1

      Yes, the curriculum has not changed much at all. The original AP exams (1960's) up until the early 90's have topics they no longer cover (epsilon-delta limits, Simpson's Method, trig substitution integrals, etc.)

  • @miriya7413
    @miriya7413 6 месяцев назад

    For 88 will the double derivative always be concave up if the first derivative is increasing? For example option b is increasing for x

    • @vinteachesmath
      @vinteachesmath  6 месяцев назад

      Yes, if you know the first derivative is increasing on some open interval, then f(x) is concave up on that interval, always.
      Yes to your second point, option B is no good because the function for f(x) is concave down on the entire given interval.

  • @angela-vd2gl
    @angela-vd2gl Год назад +3

    Please tell me this exam is harder than usual😭 struggled

    • @vinteachesmath
      @vinteachesmath  Год назад +2

      This test was trick! Do your best to study a bit more, sleep, then show up and put your best math on the paper. No matter the outcome, you are leveling up as a student! There is still plenty more work to do in college!

  • @shidanley4940
    @shidanley4940 2 года назад +3

    Thank you so much, this has been really helpful!
    I just have a quick question about 82, why do we have to use that formula? Why can't we use f(b)-f(a)/b-a.
    Thank you so much!

    • @juhikotwani3457
      @juhikotwani3457 2 года назад

      For average value, you use the formula that he showed. The formula you are referencing is the average rate of change. Hope that helps :)

    • @vinteachesmath
      @vinteachesmath  2 года назад

      Good question! We would use your formula if they asked for the average rate of change.
      Average value or average function value uses the formula I wrote for 82.

  • @sigh7310
    @sigh7310 Год назад

    Where did you get the 2012 bc exam?

    • @vinteachesmath
      @vinteachesmath  Год назад

      Google "2012 bc exam pdf", this exam was released by college board!

  • @jasonchin3924
    @jasonchin3924 3 года назад +2

    Just took it. It was rlly weird to me atleast

    • @vinteachesmath
      @vinteachesmath  3 года назад +1

      I hope you did well! Either way, studying and taking that test is great experience for college.

  • @chaefcdang7573
    @chaefcdang7573 2 года назад +1

    lol gonna forget how to dis once im 20

    • @vinteachesmath
      @vinteachesmath  2 года назад

      I would forget it too if I didn't do this for a living!