AP Calculus BC Practice Exam 2012 - Multiple Choice questions 1-28

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  • Опубликовано: 4 апр 2021
  • 2012 Multiple Choice calculator section: • AP Calculus BC Practic...
    In this video I do a speed run through the 2012 AP Calculus BC Practice Exam. I go through 28 multiple choice questions (no calculator) outlining strategies for all 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 • 111

  • @josephdavid8667
    @josephdavid8667 2 года назад +31

    For question 22, I propose an easier method of approach. Since it is a power series, by its definition we can determine the center of convergence (c=3), and since we know the series converges at x=5, the radius of convergence must be at least 2. So then our confirmed interval of convergence would be (1,5). Since we don’t have enough information the test the the endpoint at x =1, we don’t know if it diverges or converges, so B C are not correct answers. X=0 and x=6 are both outside our confirmed interval of convergence, thus leaving only x=2 (D) as the only option. We know this answer is correct because it falls in our confirmed interval of convergence.

  • @CalculusPerson
    @CalculusPerson 6 дней назад

    Bro this guy is fast like sonic. After watching this I develop new skills by the minute. Thanks!

  • @earthtominiryu
    @earthtominiryu Месяц назад +6

    you're so good at explaining, i understand a lot of concepts better now

    • @vinteachesmath
      @vinteachesmath  Месяц назад

      Thank you for the kind comment! I am glad the concepts clicked! How was the AP test?

    • @CalculusPerson
      @CalculusPerson 6 дней назад

      @@vinteachesmath I think he or she did good because of how good your videos are.

  • @amaanmodan3841
    @amaanmodan3841 3 года назад +8

    Appreciate the work man! Got my AB AP Test soon this came in clutch

  • @agent_p6668
    @agent_p6668 3 года назад +18

    This was extremely helpful. Great explanations.

  • @bahutbharatiya3946
    @bahutbharatiya3946 Год назад +12

    Very helpful video! It was also nice that the video length is the same as the time it takes for this section.

    • @vinteachesmath
      @vinteachesmath  Год назад

      I try to make these videos somewhat fast-paced to mimic what the actual AP exam would be like. I hope your AP exam goes well!

  • @amelia2449
    @amelia2449 2 года назад +5

    thank you so much for this video! Explanations are so helpful

    • @vinteachesmath
      @vinteachesmath  2 года назад

      Glad it was helpful! i hope your AP test went well!

  • @kellynguyen205
    @kellynguyen205 3 года назад +4

    Thank you!!!! This really helped!

  • @epp5179
    @epp5179 Год назад +1

    Great explanation! It was really helpful, thank you!

    • @vinteachesmath
      @vinteachesmath  Год назад

      Glad it was helpful! Best wishes preparing for your AP Calc Exam!

  • @derekbsheldon4861
    @derekbsheldon4861 2 года назад +1

    Thank you, Vin!

  • @LuisKing150
    @LuisKing150 Год назад +6

    I did AP calc AB And BC over 12 years ago when I was in HS lol. Idk how I was able to do all this with ease 😂😂😂

    • @vinteachesmath
      @vinteachesmath  Год назад +3

      I forgot a lot of the math that I did as a math major 12 years ago! I am sure if you had to do it again, you could!

  • @Daddywawa
    @Daddywawa 3 года назад +37

    This was very helpful! Can you go over more practice for the calc bc exam?

    • @vinteachesmath
      @vinteachesmath  3 года назад +4

      I released the calculator portion of this practice test recently! Best wishes for your AP test!

    • @andrewmontoya8511
      @andrewmontoya8511 3 года назад +1

      sure my child

  • @iveyl506
    @iveyl506 3 года назад +2

    OMG!! this is amazing thank u sir

  • @scoopduna
    @scoopduna 2 года назад +3

    I seriously can not thank you enough. Wish me luck on my AP Exam next week!

    • @vinteachesmath
      @vinteachesmath  2 года назад +1

      Good luck on your AP test! I hope it goes well! Awesome work preparing this far in advance.

    • @scoopduna
      @scoopduna 2 года назад

      @@vinteachesmath thank you man, I will give it my all.

    • @SkippyMC
      @SkippyMC 2 года назад +1

      @@scoopduna good luck tomorrow man I’m kinda nervous

    • @scoopduna
      @scoopduna 2 года назад +1

      @@SkippyMC haha yeah man, it certainly will not be easy. All we can do is give it our all, so just give it your best tomorrow man. Good luck!

    • @acoots3213
      @acoots3213 Год назад +1

      @@scoopduna what did you get

  • @sathariel3231
    @sathariel3231 Год назад +4

    My teacher literally just gave this as a practice quiz for the ap test. I got a 12/28... man I have a long way to go still

  • @leeli3342
    @leeli3342 2 года назад +1

    The video was very helpful for next weeks exam.

    • @vinteachesmath
      @vinteachesmath  2 года назад

      Glad it helped and I hope your test goes well!

  • @harimurali3017
    @harimurali3017 3 года назад +3

    Lifesaver here tysm

  • @danishsinghsethi3247
    @danishsinghsethi3247 3 года назад +1

    Thanks a ton! Helped me a lot!

  • @huda2170
    @huda2170 3 года назад +1

    Thank you so much!!!!

  • @AdityaSingh-zm1yd
    @AdityaSingh-zm1yd Год назад

    Could you please present a counterexample @41:55 for question 22 part D i can't see why for x=2 it doesn't converge every check that i did showed it converges.

  • @menahailemariam8516
    @menahailemariam8516 3 года назад +1

    thanks king

  • @theapplecrusher7898
    @theapplecrusher7898 2 года назад +1

    THANK YOU

  • @meghanyoungren809
    @meghanyoungren809 2 года назад

    i really saw this the night after i took the ap exam

  • @daniels.5110
    @daniels.5110 Месяц назад

    I'm confused about question 13. How do you know it is centered at 4 and the inequality means that the radius of convergence means it is sqrt3? I tried doing ratio test and am now confused. Please help! thank you!!!

  • @haxandnewswithmax4840
    @haxandnewswithmax4840 2 года назад

    Hey man great video. I understood every part except the polar areas. Do I need to be worried about those questions cuz let me be honest, I don't know a single thing about polar areas cuz I never learned it. I hope they don't have a big influence on the test.

    • @vinteachesmath
      @vinteachesmath  2 года назад

      Unit 9 (parametric/polar) makes up 10-11% of the exam. I think of polar area as area formed by a windshield wiper, the two angles theta1 and theta2 tells you where the windshield wiper starts and stops.
      There is plenty of time to get good at unit 9. Really think about what it means to plot points in polar, that will make it easier to find polar area.

  • @advsne
    @advsne 2 года назад +1

    For question 5, arent you supposed to use the absolute value of R, making it positive 3/4, thus making the sum 4?

  • @inexp1
    @inexp1 2 года назад +1

    I was a having an existential crisis figuring out the difference between c and d for question 12 19:13

    • @vinteachesmath
      @vinteachesmath  2 года назад

      Math has been known to do it that, LOL! Hope your AP exam(s) went well.

  • @vishwac3160
    @vishwac3160 Месяц назад

    why isn't number have the x, is that cause we derived and thats just 1 ?

  • @sasubillis
    @sasubillis 2 года назад

    isnt the answer for question 2 sin(x)+sin(y)?

  • @user-sp6do3ck4y
    @user-sp6do3ck4y 3 года назад +1

    for questions like 6, why should we translate the integral into 13 and -2 instead of the original number 4 and -1?

    • @andrewmontoya8511
      @andrewmontoya8511 3 года назад

      i dont know

    • @andrewmontoya8511
      @andrewmontoya8511 3 года назад +6

      oh. its because u used u subsitution. when u use u sub u have to plug your limts back into u to get new limites

  • @adimehta2360
    @adimehta2360 Год назад

    Wouldn't #9 (sum of n!/n^100) converge? If n = 200, then 200! < 200*100 and because the denominator is bigger, the series should converge right?

    • @jameswalsh395
      @jameswalsh395 Год назад

      Although the denominator is bigger for n = 200, as n approaches infinity, n factorial will become larger. The rate of growth for n factorial surpasses any constant a value n^a for sufficiently large values of n. the only value that n can be raised to in order to surpass n factorial is n (the rate of growth for n^n surpasses n factorial).

  • @jasonchin3924
    @jasonchin3924 3 года назад +2

    Thx G

  • @michellemiao_
    @michellemiao_ 3 года назад +6

    for questions like 5, i thought the maclaurin series involved the nth derivative and the factorials?

    • @bossbee4ever
      @bossbee4ever 3 года назад +2

      Those are the series expansions of maclaurin series. This is the “unexpanded” part, i think. I barely understood this unit😭, but i hope this made sense

    • @michellemiao_
      @michellemiao_ 3 года назад

      @@bossbee4ever ahh that would make sense, thank you 😩

    • @vinteachesmath
      @vinteachesmath  3 года назад +3

      The formula involving the nth derivative and factorials is when you have to build the Maclaurin Series yourself. In that question they were polite and wrote the series for us. The big idea for question 5 was evaluating a geometric series.

    • @michellemiao_
      @michellemiao_ 3 года назад

      @@vinteachesmath Okay, thank you!

    • @andrewmontoya8511
      @andrewmontoya8511 3 года назад

      man, sorry your name is michelle

  • @user-sp6do3ck4y
    @user-sp6do3ck4y 3 года назад

    at number 11, doesn't every function that are continuous differentiable?

    • @andrewmontoya8511
      @andrewmontoya8511 3 года назад

      no. every function that is differntiable is continous

  • @williamyt6174
    @williamyt6174 2 года назад +3

    Dude this was so helpful! My test is tomorrow. Do you have a Patreon so I can send you money lmfao

    • @sdkyuan9078
      @sdkyuan9078 2 года назад +2

      are we all studying the day before the test lmao?

  • @pizzatc0165
    @pizzatc0165 Год назад +1

    Is there an easier method for 26 because that seems like way to effort for a MC question that you have 2 minutes to solve

    • @vinteachesmath
      @vinteachesmath  Год назад

      If you memorize the formula, you can get right into it. I try to show a lot of questions in a way that you don't need to have everything memorized. Think of the two minutes as the average time. There will be plenty of easy questions that you can answer in under 30 seconds, that puts more time in the bank for you to think about the harder questions. Good luck tomorrow!

  • @jessicalin6946
    @jessicalin6946 3 года назад +1

    Just wondering, do you go over questions 28-76 somewhere?

    • @vinteachesmath
      @vinteachesmath  3 года назад +1

      These tests are numbered weirdly. Someday I will know why they skip all those questions in between. Maybe so the calculator section really stands out...

    • @jessicalin6946
      @jessicalin6946 3 года назад +1

      @@vinteachesmath I see! Well thank you for all your videos and explanations, they’re really helpful! And happy teacher appreciation week 🎉

    • @andrewmontoya8511
      @andrewmontoya8511 3 года назад

      i dont know my child

  • @temptorm9577
    @temptorm9577 2 года назад +3

    can you please explain ap spanish im failing thanks!!!

  • @isabellahernandez7471
    @isabellahernandez7471 Год назад +2

    why is Saul Goodman teaching me calc Bc

  • @ryk57gmds
    @ryk57gmds 2 месяца назад

    24:13 so easy that its difficult?

  • @susancastillo7032
    @susancastillo7032 2 года назад

    42:00

  • @73-khrisrivera87
    @73-khrisrivera87 2 года назад

    16:10

  • @lucasmacaraeg1537
    @lucasmacaraeg1537 2 года назад +3

    2 days left

    • @rickyhenderson163
      @rickyhenderson163 2 года назад +3

      yea bro im fucked

    • @lucasmacaraeg1537
      @lucasmacaraeg1537 2 года назад +2

      @@rickyhenderson163 on the bright side you need like less than a 50 to get a 4

    • @samicheaitani5630
      @samicheaitani5630 2 года назад +1

      @@lucasmacaraeg1537 good luck to you bro, I'm aiming for a 4 and I'm still extremely nervous

    • @lucasmacaraeg1537
      @lucasmacaraeg1537 2 года назад +1

      @@samicheaitani5630 facts im studying rlly hard right now cause im more nervous about the stuff im gonna forget than the stuff im bad at

  • @harryctr2303
    @harryctr2303 2 года назад +2

    Goat talk

    • @vinteachesmath
      @vinteachesmath  2 года назад +1

      I appreciate the vote of confidence! I hope your AP test(s) went well!

    • @harryctr2303
      @harryctr2303 2 года назад +1

      @@vinteachesmath u snapped Vin I got a 5. THANK YOU

    • @vinteachesmath
      @vinteachesmath  2 года назад

      @@harryctr2303 Congratulations 👏🎉
      That is a very impressive accomplishment. Enjoy the rest of your break and best wishes for next year!

    • @harryctr2303
      @harryctr2303 2 года назад

      @@vinteachesmath thank you so much! Keep putting this content out it helped tremendously.