Volumes Using Cross Sections - Calculus

แชร์
ฝัง
  • เผยแพร่เมื่อ 18 ธ.ค. 2024

ความคิดเห็น • 101

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  3 ปีที่แล้ว +9

    Applications of Integration - Free Formula Sheet: bit.ly/3ZdKSnK
    Direct Link to The Full Video: bit.ly/3jsN6dO
    Full 43 Minute Video on Patreon: www.patreon.com/MathScienceTutor
    Calculus 1 Final Exam Review: th-cam.com/video/WmBzmHru78w/w-d-xo.html

  • @lanog40
    @lanog40 3 ปีที่แล้ว +827

    The math is not an issue for me, but the way these problems are worded (and this isn't your fault, or my textbook's) is so hard to visualize.

    • @picklerick8123
      @picklerick8123 3 ปีที่แล้ว +170

      unfortunately Collegeboard plays dirty that way. Instead of actually testing our skills they only test whether we can read, screwing over all our hard work

    • @Assguardian2004
      @Assguardian2004 3 ปีที่แล้ว +8

      yeah i have the same problem feelsbadman

    • @namechange4103
      @namechange4103 3 ปีที่แล้ว +9

      @@picklerick8123 no they are testing if we can apply the concepts to real situations. knowing how to solve the formula is easy, fully understanding the concept is the hard part and solving an equation does not require full knowledge of the concept to solve

    • @picklerick8123
      @picklerick8123 3 ปีที่แล้ว +86

      @@namechange4103 100% wrong. None of the problems we do in AP exam apply to the real world directly, or at least they do not show up like this.
      You won't need to find the volume of a cup in the real world. You will however, use these topic later on in college, and BUILD on them in careers. My point is that they should give more technical problems rather than making horribly worded problems.

    • @namechange4103
      @namechange4103 3 ปีที่แล้ว +6

      @@picklerick8123 i wasnt saying that they apply to real world situations i was saying they apply to real situations based off graphs and tables rather than simply telling you to integrate or derive an equation. anyone can derive and integrate thats easy as hell but the application of derivatives and integrals is the hard part and you have to really know your stuff in order to apply them.
      The wording is very simple if you know what you are looking for. they test technical stuff on the Multiple Choice the FrQs are where real men are made.

  • @aabrightlove
    @aabrightlove ปีที่แล้ว +66

    3:17 Tutor here, just wanted to say thank you for the idea on how to draw this for my students! I've never seen it depicted this way; it's really very sensible

  • @ibrahimkerah5827
    @ibrahimkerah5827 4 ปีที่แล้ว +43

    Am really gaining a lot from your tutorials. Thanks a million dear

  • @sahilkatta8490
    @sahilkatta8490 3 ปีที่แล้ว +59

    This is saving me for the calc test I'm gonna have tmrw. Thank u!

    • @UUTV44
      @UUTV44 9 หลายเดือนก่อน +1

      after three years did you really get anything form studying

    • @freuner-merris
      @freuner-merris 9 หลายเดือนก่อน

      I know full well that nothing is truly saving me from the calc test I have tomorrow, but this video will at least mitigate the damage!

  • @georgesadler7830
    @georgesadler7830 ปีที่แล้ว +12

    Professor Organic Chemistry Tutor, thank you for an excellent video/lecture on Volumes using Cross Sections in Calculus Two. Volumes of a solid using Cross Sections relies heavily on Geometry. This is an error free video/lecture on TH-cam TV with the Organic Chemistry Tutor.

  • @acenutella1196
    @acenutella1196 2 ปีที่แล้ว +6

    Literally the only video that explained this in a way that made any sense of what was happening

  • @Scummied
    @Scummied 4 ปีที่แล้ว +34

    you help more than some of my teachers work 👍 you’re great i am going to subscribe

  • @leonardomanzotti9959
    @leonardomanzotti9959 3 ปีที่แล้ว +3

    appreciation comment, u have been saving me for the past 5 months in AB calc, thx

  • @-thesignpainter9486
    @-thesignpainter9486 ปีที่แล้ว +7

    thank you! my textbook explained this HORRIBLY but this clears a lot up

  • @FlatterBaker
    @FlatterBaker 10 หลายเดือนก่อน +2

    Our teacher literally explained nothing and gave us a writing project, let me repeat a writing project on this, and he didn't even explain how to do it. Thank you.

  • @sensei2117
    @sensei2117 ปีที่แล้ว +3

    I love this man, the only reason I passed math.

  • @butterflytobe1013
    @butterflytobe1013 4 ปีที่แล้ว +25

    Pls face reveal 🥺🥺 u don't know what you do for us you're one of my best teachers and thankyou may God bless you and your loved ones,♥️

  • @theanguyen1015
    @theanguyen1015 2 ปีที่แล้ว +2

    This guy's videos always save me

  • @Ghost_of_Morisset
    @Ghost_of_Morisset 10 หลายเดือนก่อน

    Thanks for helping me clutch up on my assignment! You are truly an angel ❤

  • @omranalkhleefalhamad6756
    @omranalkhleefalhamad6756 3 ปีที่แล้ว +4

    man im having this in my exam tomorrow , thx so much !

  • @GeminieCricket
    @GeminieCricket 4 ปีที่แล้ว +2

    I can not speak this language. I admire those that can. KUDOS to the smart people of the world.

  • @emilyshen7559
    @emilyshen7559 3 ปีที่แล้ว +1

    6:55 semi-circles

  • @denverlevins4103
    @denverlevins4103 3 ปีที่แล้ว +1

    I love you so much Mr. Organic Chemistry Tutor.

  • @MacPowi
    @MacPowi 5 หลายเดือนก่อน

    You have helped me alot in math bro. And I say thank you for that, keep doing it bro.❤

  • @kiyoshi3002
    @kiyoshi3002 10 หลายเดือนก่อน +2

    Actual life saver. I was not ready for Calc 2

    • @jj6434
      @jj6434 3 หลายเดือนก่อน

      Did u pass? I feel totally lost

  • @jonahgo7743
    @jonahgo7743 4 ปีที่แล้ว +8

    Thanks sir.
    Wish you will teach other statistical softwares as time goes

  • @RandomRikster
    @RandomRikster 9 หลายเดือนก่อน

    Very helpful video. Thank you so much!

  • @AJ-et3vf
    @AJ-et3vf 10 หลายเดือนก่อน

    Great video sir. Thank you

  • @rpjtv8041
    @rpjtv8041 ปีที่แล้ว +5

    I WILL PASS THIS CLASS WITH A GREAT GRADE

    • @kiyoshi3002
      @kiyoshi3002 10 หลายเดือนก่อน +1

      THAT’S WHAT I’M PRAYING FOR 😭

    • @rpjtv8041
      @rpjtv8041 10 หลายเดือนก่อน +1

      @@kiyoshi3002 I passed 😭

    • @Eng586
      @Eng586 10 หลายเดือนก่อน

      @@rpjtv8041with a great grade?

  • @miniseaa
    @miniseaa 2 ปีที่แล้ว

    3:18 the best graphic drawing i have ever seen

  • @aubreeannam
    @aubreeannam 10 หลายเดือนก่อน

    thanks for this vid…i’m not gonna fail my quiz now 🤣

  • @MariaFernanda-oz6uf
    @MariaFernanda-oz6uf 2 ปีที่แล้ว +4

    when is the area of the cross section a square and when is it a semicircle? thank you

    • @JKMath
      @JKMath 2 ปีที่แล้ว +20

      I know this is probably a late response, but this might help someone else reading the comments in the future, but the shape of the cross sections is almost always provided to you in the question. The only way I can see them not explicitly telling you what shape the cross sections are for a problem like this, is if they give you an image of the solid you are calculating the volume of. From that you could probability figure out the shape of the cross sections. But in the majority of problems, you will be told what the shape is that you should use. Hope this helps!

  • @tunama2642
    @tunama2642 3 ปีที่แล้ว

    thank you so much for saving me bro

  • @Happygirltales
    @Happygirltales 4 ปีที่แล้ว +1

    Thanq sir..😇

  • @alexisc.9066
    @alexisc.9066 4 ปีที่แล้ว

    happy new year

  • @ahmedrizwan3465
    @ahmedrizwan3465 ปีที่แล้ว

    3:16. Y are we just assuming that y=s. i dont understand that part

  • @elizstryker
    @elizstryker 7 หลายเดือนก่อน

    ap calc exam in 7hrs tysm

  • @yamomma4321
    @yamomma4321 4 ปีที่แล้ว

    Lovin it bro
    Got new subscriber

  • @thatdude8884
    @thatdude8884 ปีที่แล้ว

    At 2:22 why don't you square the equation before integration?

    • @lucasmayes
      @lucasmayes 7 หลายเดือนก่อน

      The square root of x squared just equals x

  • @matrix_killer2455
    @matrix_killer2455 ปีที่แล้ว

    At 4:42 why did you multiply by two? It's really got me confused.

    • @landonneal695
      @landonneal695 ปีที่แล้ว

      to get rid of the 1/2. Anytime you have a fraction with 1 as the numerator, you can multiply it by the denominator to get rid of the fraction

  • @lamononclintmiguelf5978
    @lamononclintmiguelf5978 4 ปีที่แล้ว +1

    He's so smart😧😮😮😮

  • @KiriGiri-fd7zq
    @KiriGiri-fd7zq ปีที่แล้ว +1

    4:57 I don't understand why it's 8, isn't it 4?

    • @KaifBy
      @KaifBy 11 หลายเดือนก่อน

      Not 4 , bcz 4 is for whole circle but we r finding of Simi circle. That's why it is divided by 2
      2×4 = 8

  • @toastyarmadillo3802
    @toastyarmadillo3802 ปีที่แล้ว +3

    test in two days guys this one isn’t looking too hot for me😅

  • @m.awholesaler7973
    @m.awholesaler7973 2 ปีที่แล้ว

    HI IF THEY SAY VANTILATION AIR AT THE FACE OF DEVELOPMENT END MUST BE 0.15M CUBE PER SECOND PER SQUARE HOW DO THEY GET 0.15 ?

  • @the10seconds
    @the10seconds 2 ปีที่แล้ว +1

    In the first problem how is s equal to y?

  • @PriyanshuGupta-hf2hm
    @PriyanshuGupta-hf2hm 4 ปีที่แล้ว +1

    what software do you use for the board?

    • @JKMath
      @JKMath 2 ปีที่แล้ว

      I believe he uses Microsoft Paint for these videos.

  • @kjones8533
    @kjones8533 4 ปีที่แล้ว

    Welcome BACK!!!!

  • @cm6995
    @cm6995 3 ปีที่แล้ว +3

    These are simple problems, the ones on my test are too complex for me.

  • @StudybyYourselfPLUS
    @StudybyYourselfPLUS 4 ปีที่แล้ว

    You are welcome

  • @munzursu5402
    @munzursu5402 6 หลายเดือนก่อน +1

    midterm in an hourrrrr aaaaa

  • @whiteykidzbro
    @whiteykidzbro 3 ปีที่แล้ว

    Let's go starting calc II off right

  • @p2bp2b
    @p2bp2b 3 ปีที่แล้ว

    these comments are so wholesome

  • @AlperMusic
    @AlperMusic 3 ปีที่แล้ว +3

    I can't visualize the 3d objects in these examples, it all seems 2d to me :(

  • @magnolia8886
    @magnolia8886 3 หลายเดือนก่อน

    I always somehow forget one single negative when im integrating even if I do all the steps right

  • @selftaughtsurgeon
    @selftaughtsurgeon 4 ปีที่แล้ว

    Nice

  • @seventhrhapsody6424
    @seventhrhapsody6424 4 ปีที่แล้ว +2

    Insert surprised Pikachu face*

  • @bryanrodriguez9226
    @bryanrodriguez9226 3 ปีที่แล้ว +1

    I’m using this for cal 2 and I understood the first one sorta but the second one killed but it’s not your fault I just don’t understand it

  • @mitulsingh905
    @mitulsingh905 4 ปีที่แล้ว +1

    Trust me if you reveal your face u will hit 10 million subs in very less time.

    • @coffee4050
      @coffee4050 4 ปีที่แล้ว

      No! he's not that simple!

  • @Rnrkeje
    @Rnrkeje 4 ปีที่แล้ว

    Turtle approves of this video

  • @sebastiana.345
    @sebastiana.345 2 ปีที่แล้ว +2

    This yt channel is literally jesus

  • @beepbeeplettuce848
    @beepbeeplettuce848 4 ปีที่แล้ว +2

    you have 3 million subs but still cant monetize your videos? that's pretty bad

    • @beepbeeplettuce848
      @beepbeeplettuce848 4 ปีที่แล้ว +3

      @Morgan North yup, it’s kinda sad that he cannot get a better mic even after all his growth. I would imagine he could get a few ads pretty easily.

  • @interstate80.
    @interstate80. ปีที่แล้ว

    “Holy Jesus. What is that? What the fuck is that?”

  • @lushe4783
    @lushe4783 4 ปีที่แล้ว +1

    Me a 7th grader
    *Yes*

  • @zilog1
    @zilog1 4 ปีที่แล้ว +7

    I'll be honest. you're videos are super cool and all, but knowing you have been doing this for years and you haven't gotten a nicer mic upsets me a little. its like untapped potential. Engagement in a video has more to do with the audio of the production than the video(within reason) i recommend the MXL 990. its reasonably cheap and you cant top this quality with out reaching diminishing returns in the ratio of price:quality/performance

    • @coffee4050
      @coffee4050 4 ปีที่แล้ว +14

      nah! he's cool like that!

  • @brandondavidwalker4809
    @brandondavidwalker4809 ปีที่แล้ว

    so many details are left out, jesus. how am i supposed to know how the graph is supposed to look like?

    • @munderabukhder9022
      @munderabukhder9022 10 หลายเดือนก่อน

      Go back to 7th grade. You can graph it on your own by inputting x values for example or recognizing that the graph indicates a parabola, line, etc. This video was great

  • @hasanmerchant3617
    @hasanmerchant3617 3 ปีที่แล้ว

    hi madhav

  • @subnow4862
    @subnow4862 3 ปีที่แล้ว +2

    Thanks for the practice problems!

  • @aqilshah3645
    @aqilshah3645 4 ปีที่แล้ว +1

    We want some new stuff ...

    • @kjones8533
      @kjones8533 4 ปีที่แล้ว

      Wym?? Plus he isn’t youuu servant

  • @user-vq5hb5cp4n
    @user-vq5hb5cp4n ปีที่แล้ว

    I'm going to be honest, this is not your best video