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

Поділитися
Вставка
  • Опубліковано 4 кві 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.

КОМЕНТАРІ • 113

  • @josephdavid8667
    @josephdavid8667 2 роки тому +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.

  • @earthtominiryu
    @earthtominiryu 2 місяці тому +6

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

    • @vinteachesmath
      @vinteachesmath  2 місяці тому

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

    • @CalculusPerson
      @CalculusPerson Місяць тому

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

  • @CalculusPerson
    @CalculusPerson Місяць тому +1

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

  • @amelia2449
    @amelia2449 2 роки тому +5

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

    • @vinteachesmath
      @vinteachesmath  2 роки тому

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

  • @amaanmodan3841
    @amaanmodan3841 3 роки тому +8

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

  • @agent_p6668
    @agent_p6668 3 роки тому +18

    This was extremely helpful. Great explanations.

  • @bahutbharatiya3946
    @bahutbharatiya3946 Рік тому +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  Рік тому

      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!

  • @epp5179
    @epp5179 Рік тому +1

    Great explanation! It was really helpful, thank you!

    • @vinteachesmath
      @vinteachesmath  Рік тому

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

  • @kellynguyen205
    @kellynguyen205 3 роки тому +4

    Thank you!!!! This really helped!

  • @AdityaSingh-zm1yd
    @AdityaSingh-zm1yd Рік тому

    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.

  • @derekbsheldon4861
    @derekbsheldon4861 2 роки тому +1

    Thank you, Vin!

  • @scoopduna
    @scoopduna 2 роки тому +3

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

    • @vinteachesmath
      @vinteachesmath  2 роки тому +1

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

    • @scoopduna
      @scoopduna 2 роки тому

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

    • @SkippyMC
      @SkippyMC 2 роки тому +1

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

    • @scoopduna
      @scoopduna 2 роки тому +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 Рік тому +1

      @@scoopduna what did you get

  • @daniels.5110
    @daniels.5110 2 місяці тому

    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!!!

  • @Daddywawa
    @Daddywawa 3 роки тому +37

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

    • @vinteachesmath
      @vinteachesmath  3 роки тому +3

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

    • @andrewmontoya8511
      @andrewmontoya8511 3 роки тому +1

      sure my child

  • @iveyl506
    @iveyl506 3 роки тому +2

    OMG!! this is amazing thank u sir

  • @leeli3342
    @leeli3342 2 роки тому +1

    The video was very helpful for next weeks exam.

    • @vinteachesmath
      @vinteachesmath  2 роки тому

      Glad it helped and I hope your test goes well!

  • @LuisKing150
    @LuisKing150 Рік тому +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  Рік тому +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!

  • @danishsinghsethi3247
    @danishsinghsethi3247 3 роки тому +1

    Thanks a ton! Helped me a lot!

  • @huda2170
    @huda2170 3 роки тому +1

    Thank you so much!!!!

  • @harimurali3017
    @harimurali3017 3 роки тому +3

    Lifesaver here tysm

  • @sathariel3231
    @sathariel3231 Рік тому +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

  • @vishwac3160
    @vishwac3160 2 місяці тому

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

  • @sasubillis
    @sasubillis 2 роки тому

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

  • @advsne
    @advsne 2 роки тому +1

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

  • @user-sp6do3ck4y
    @user-sp6do3ck4y 3 роки тому +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 роки тому

      i dont know

    • @andrewmontoya8511
      @andrewmontoya8511 3 роки тому +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

  • @jessicalin6946
    @jessicalin6946 3 роки тому +1

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

    • @vinteachesmath
      @vinteachesmath  3 роки тому +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 роки тому +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 роки тому

      i dont know my child

  • @menahailemariam8516
    @menahailemariam8516 3 роки тому +1

    thanks king

  • @haxandnewswithmax4840
    @haxandnewswithmax4840 2 роки тому

    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 роки тому

      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.

  • @theapplecrusher7898
    @theapplecrusher7898 2 роки тому +1

    THANK YOU

  • @user-sp6do3ck4y
    @user-sp6do3ck4y 3 роки тому

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

    • @andrewmontoya8511
      @andrewmontoya8511 3 роки тому

      no. every function that is differntiable is continous

  • @adimehta2360
    @adimehta2360 Рік тому

    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 Рік тому

      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).

  • @meghanyoungren809
    @meghanyoungren809 2 роки тому

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

  • @pizzatc0165
    @pizzatc0165 Рік тому +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  Рік тому

      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!

  • @michellemiao_
    @michellemiao_ 3 роки тому +6

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

    • @bossbee4ever
      @bossbee4ever 3 роки тому +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 роки тому

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

    • @vinteachesmath
      @vinteachesmath  3 роки тому +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 роки тому

      @@vinteachesmath Okay, thank you!

    • @andrewmontoya8511
      @andrewmontoya8511 3 роки тому

      man, sorry your name is michelle

  • @jasonchin3924
    @jasonchin3924 3 роки тому +2

    Thx G

  • @williamyt6174
    @williamyt6174 2 роки тому +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 роки тому +2

      are we all studying the day before the test lmao?

  • @jexoMC
    @jexoMC 2 роки тому +3

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

  • @inexp1
    @inexp1 2 роки тому +1

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

    • @vinteachesmath
      @vinteachesmath  2 роки тому

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

  • @ryk57gmds
    @ryk57gmds 3 місяці тому

    24:13 so easy that its difficult?

  • @isabellahernandez7471
    @isabellahernandez7471 Рік тому +2

    why is Saul Goodman teaching me calc Bc

  • @lucasmacaraeg1537
    @lucasmacaraeg1537 2 роки тому +3

    2 days left

    • @rickyhenderson163
      @rickyhenderson163 2 роки тому +3

      yea bro im fucked

    • @lucasmacaraeg1537
      @lucasmacaraeg1537 2 роки тому +2

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

    • @samicheaitani5630
      @samicheaitani5630 2 роки тому +1

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

    • @lucasmacaraeg1537
      @lucasmacaraeg1537 2 роки тому +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

  • @susancastillo7032
    @susancastillo7032 2 роки тому

    42:00

  • @73-khrisrivera87
    @73-khrisrivera87 2 роки тому

    16:10

  • @harryctr2303
    @harryctr2303 2 роки тому +2

    Goat talk

    • @vinteachesmath
      @vinteachesmath  2 роки тому +1

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

    • @harryctr2303
      @harryctr2303 2 роки тому +1

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

    • @vinteachesmath
      @vinteachesmath  2 роки тому

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

    • @harryctr2303
      @harryctr2303 2 роки тому

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