Volume of solids of revolution about lines other than x or y axis

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  • Опубликовано: 21 авг 2024

Комментарии • 132

  • @unhhgcrxexhjvuvujchcrzwzwz7956
    @unhhgcrxexhjvuvujchcrzwzwz7956 3 года назад +258

    Literally the only video I could find that doesn’t just ramble on about the concept of 3D objects thank you, your a life saver

    • @intheshell35ify
      @intheshell35ify 3 года назад +2

      Amen.

    • @vn7512
      @vn7512 3 года назад +6

      She’s a really good teacher. I had her she was amazing.

  • @Trinitodbone870
    @Trinitodbone870 2 года назад +47

    YOU ARE SUCH A GOOD TEACHER! You helped me understand the radius when no one else could and you did it in like 2 minutes. Thank you so much. Sending love 4 years later.

  • @applejuiceandy4920
    @applejuiceandy4920 11 месяцев назад +5

    Explaining in a way humans can understand. Not a rambling psychopath. Thank you

  • @ImElytra
    @ImElytra Год назад +15

    I really struggle with revolution, but I have never seen such an amazing explanation on RUclips. Thank you so much :D

  • @Josh-tu9ji
    @Josh-tu9ji 3 года назад +11

    Visualizing how to find the big R and little r was SO USEFUL!! THANKS!!

  • @jamiehendrickx4569
    @jamiehendrickx4569 2 года назад +18

    I'm a math tutor and needed to review this material. From one math teacher to another, you have a gift!! Thank you for making this so simple to understand.

  • @domanirobledo6447
    @domanirobledo6447 Год назад +5

    This was so helpful, your explanations even helped me figure out how to find the volume of areas between two curves revolved around given lines. You’re a rockstar.

  • @rapidsfire1
    @rapidsfire1 2 года назад +12

    Thank you for making this video! Ive never been someone who math just clicks for so the thoroughness of your lesson is a godsend. Thank you!

  • @ianhuangncubed
    @ianhuangncubed 6 месяцев назад

    I love that you explain every single step clearly, and never take anything for granted. You have an art for teaching.

  • @intheshell35ify
    @intheshell35ify 3 года назад +5

    Your explanation of how to find the function that describes the radius when rotated around a non 0 axis was so simple and intuitive that now I'm embarrassed I had to ask. Unfortunately, I can't find the function that describes the volume of my gratitude so I'll go with one of the basic functions......Thank you.

  • @mienai955
    @mienai955 7 месяцев назад

    I usually don't leave reviews but man, this answered all the questions I had about when adding the line of revolution or when subtracting! thank you.

  • @torphedo6286
    @torphedo6286 3 месяца назад

    Super neat handwriting & great diagrams! Good stuff, using this to brush up 40 minutes before my calc 2 final :)

  • @aryan4985
    @aryan4985 11 месяцев назад

    This is the best explanation of this topic I've seen. Thanks a lot

  • @stealthworx4371
    @stealthworx4371 Год назад

    Lady you are a legend this was about as easy to understand as this topic could possibly be explained.

  • @sabrinamickley6977
    @sabrinamickley6977 5 месяцев назад

    I am learning this in class and no matter how many examples, I just could not figure it out 😭but with this one video, I finally get it. Thank you!!

  • @SmokeDaily95
    @SmokeDaily95 2 года назад +1

    Ms. Callahan, thank you very much for the help and explanation. I was able to get ahead of my class using your video!

  • @solarstar3553
    @solarstar3553 5 месяцев назад

    THANK YOU SO MUCH!!! I have been struggling to understand how to set up the integral but this video explains it so well!!!!

  • @swagatdas7497
    @swagatdas7497 3 года назад +3

    At 1st I have huge doubt about this but now its crystal clear 😍thank u so much

  • @nicollassdossantos
    @nicollassdossantos 2 года назад +3

    Great video and straight to the point, this was immensely helpful. Thank you!

  • @yinpopoaung8910
    @yinpopoaung8910 8 месяцев назад

    Thanks for this video. Because of this, I can easily understand.

  • @anass26
    @anass26 4 месяца назад

    most understandable teacher ı have ever seen thanks sir

  • @shumokhalmutairi3662
    @shumokhalmutairi3662 2 года назад +2

    Thank you so much. Very excellent explanation, after watching the video, the solution seemed much easier for me. I thought that drawing was very difficult, and now I have become very skilled.

  • @JesasaurusRex
    @JesasaurusRex 2 года назад

    Finally, someone to make it make sense. Thank you

  • @laurenj2186
    @laurenj2186 Год назад

    OH MY GOD THANK YOU SO MUCH YOU JUST SAVED MY CALC2 LIFE GOD BLESS🥰😘🥳🤩

  • @kaaynn-rn
    @kaaynn-rn 7 месяцев назад

    Thank you, I was so frustrated in class and even embarrassed myself in front of my teacher because I was so confused about this.

  • @sunjushrenaidu5421
    @sunjushrenaidu5421 9 месяцев назад

    you are such a life saver

  • @bridgetkwofie7654
    @bridgetkwofie7654 2 года назад +1

    Thank you so much..i have really understood this concept after watching this video

  • @tanviapte1786
    @tanviapte1786 3 года назад +6

    Thank you so much for this video ! I have my Calc exam tomorrow and this literally saved my life

  • @ahmadmujtba8168
    @ahmadmujtba8168 8 месяцев назад

    This was the thing I needed. Thanks a lot.

  • @Amankumar-yu6nz
    @Amankumar-yu6nz Год назад

    Best lecture, thank you for clearing all my doubts.

  • @raghavjuyalcamedy6198
    @raghavjuyalcamedy6198 2 года назад +1

    Plz.. keep on making this kind of videos ✨

  • @lofi_ish5613
    @lofi_ish5613 2 года назад

    you are the best. I have finals tomorrow and you literally saved me
    thanks a lot

  • @jannatulferdouseesha7194
    @jannatulferdouseesha7194 8 месяцев назад

    just wonderful explanation👍

  • @joshycasuga2555
    @joshycasuga2555 2 года назад

    Wow this is clearly explained well done madam

  • @tang4486
    @tang4486 3 года назад +2

    Thank you so much for explaining so clear for us and i finally understand after doing same questioms for 3 hours🥳

  • @notme3185
    @notme3185 3 месяца назад +1

    Gotta learn this, I have ap exam in 2 weeks and haven't been taught

  • @davidopaleke6938
    @davidopaleke6938 Месяц назад

    you might be the GOAT

  • @dreameater3372
    @dreameater3372 2 года назад

    very helpful i was pushing on a pull door but it was locked you allowed me to find the volume of the solid revolving around that door أنا أحب الأعضاء التناسلية الذكرية

  • @mathveeresh168
    @mathveeresh168 4 года назад +8

    That was highly helpful thank you so much

    • @dreameater3372
      @dreameater3372 2 года назад

      أنا أحب الأعضاء التناسلية الذكرية

  • @jasonwalker7707
    @jasonwalker7707 2 года назад +2

    this is my actual teacher, she's as good in real life as in this video!

  • @rajands65
    @rajands65 Год назад +1

    Thank you so much ma'am!

  • @prakharchauhan2446
    @prakharchauhan2446 Год назад

    Hey thankyou so much i was unable to find any material on this topic particularly when rotating about lines other then the Axises

  • @tylerslingluff3792
    @tylerslingluff3792 2 года назад +1

    Very helpful!!!!!!! I now have a very good grade in my class!!!!!!!!!!! Much better then my math teacher!!!!!!!!!!!!!!

    • @davidpeto3753
      @davidpeto3753 2 года назад +1

      I hate my math teacher so much

    • @tylerslingluff3792
      @tylerslingluff3792 2 года назад +1

      @@davidpeto3753 Me too!!!!!!! Too many shenanigans!!!!!!!!

    • @davidpeto3753
      @davidpeto3753 2 года назад +1

      @@tylerslingluff3792 I hate those knuckleheads and their quotes of the days

    • @jasonwalker7707
      @jasonwalker7707 2 года назад +1

      @@tylerslingluff3792 your shenanigans, you mean?

    • @dreameater3372
      @dreameater3372 2 года назад

      @@davidpeto3753 dirty

  • @Kaka-soda
    @Kaka-soda 4 месяца назад

    Thank you so much! Make me understand how this works

  • @smidgenmount
    @smidgenmount Год назад

    a Life Saver, thanks for this

  • @shivammaurya2238
    @shivammaurya2238 4 года назад +1

    i got it now ,thanks for explaining it with very easy language

  • @jojololo752
    @jojololo752 2 года назад

    God bless your soul you're a life saver thank you so much

  • @Aaron-sr6nc
    @Aaron-sr6nc 2 года назад +1

    Perfectly explained, thank you!

  • @VishalYadav-566
    @VishalYadav-566 6 месяцев назад

    Unique video thank you ma'am ❤

  • @bonganipeter9433
    @bonganipeter9433 Год назад

    Clear Explanation, Thank you so much.

  • @nabeelkhan1275
    @nabeelkhan1275 2 года назад

    Great Video!!! Concepts totally cleared, Thanks!!

  • @basantkumargupta9194
    @basantkumargupta9194 Год назад

    Very nice madam

  • @lapislazulilapis
    @lapislazulilapis Год назад

    Wonderful explanation! Thank you!

  • @sadiasalman258
    @sadiasalman258 2 года назад

    Much thanks....... ❤️Video is too helping... Make more videos for better understanding on other topics related to calculus as well
    .. Thanks

  • @s--b
    @s--b 11 месяцев назад

    I literally owe you my life

    • @s--b
      @s--b 11 месяцев назад

      Update: I got a 100% on my assignment because of this video so I'm serious I will catch a grenade for you Ms. Callahan

  • @seanmccray1173
    @seanmccray1173 2 года назад

    Good stuff. Very helpful

  • @limnayeon9729
    @limnayeon9729 2 года назад

    You're a life saver!

  • @lolwut7562
    @lolwut7562 2 года назад

    Excellent video and very intuivite. Thanks!

  • @savdelpha7008
    @savdelpha7008 2 года назад

    you explained it beautyfully.

  • @vukanimakhathini4904
    @vukanimakhathini4904 Год назад

    This was really useful 🔥🔥

  • @izzygrandic
    @izzygrandic Год назад

    This was so great!

  • @chrispesce4079
    @chrispesce4079 3 года назад

    Nicely presented.

  • @longtrinh6866
    @longtrinh6866 2 года назад

    Extremely helpful. Thanks.

  • @gbwisk0004
    @gbwisk0004 3 года назад

    Awoke video!!! Thank you sooooo much

  • @kamilahernandez4729
    @kamilahernandez4729 3 года назад

    What an awesome video! Very helpful, keep it up :)

  • @rohit2607
    @rohit2607 3 года назад

    nice explanation

  • @fayzajami3741
    @fayzajami3741 2 года назад

    Thanks you are a wonderful teacher. I need a video about cylindrical shell. I can’t fond it in your’s videos

  • @Lemurai
    @Lemurai Год назад

    You seem very pleasant and easy to learn from all of my math professors not counting physics have been very callous and rude regardless of the student was doin well or not.

  • @katxko
    @katxko 7 месяцев назад

    SLAYYYY BESTIEEEE

  • @bweupechola6082
    @bweupechola6082 Год назад

    thank you very much ❤️❤️❤️🥰❤️

  • @potatoeater8014
    @potatoeater8014 2 месяца назад

    5:20 lifechanging information 😭why dont profs teach it this way

  • @aksharvijay8752
    @aksharvijay8752 10 месяцев назад

    Thank you!

  • @GauravGupta-pb8mk
    @GauravGupta-pb8mk 2 года назад

    Thank you Mam

  • @isaacacostaSDSU
    @isaacacostaSDSU 6 месяцев назад

    THANK YOU SO MUCH

  • @rajveerkania3929
    @rajveerkania3929 3 года назад +1

    Thanks miss !

  • @user-wk2bl4cj7b
    @user-wk2bl4cj7b Год назад

    Shera.

  • @themsk9923
    @themsk9923 Год назад

    Thanks

  • @sreedevip4330
    @sreedevip4330 9 месяцев назад

    Thanks❤

  • @vehuel8735
    @vehuel8735 Год назад +1

    This made so much sense, it clicked instantly when you explained it, the visuals were so helpful too- (*ˊᗜˋ*)ᵗᑋᵃᐢᵏ ᵞᵒᵘ

  • @RanBlakePiano
    @RanBlakePiano Год назад

    Looked at your list of videos starting from the oldest trying to decipher my order on which to study first and felt confused
    I’ve started a bit of calculus but need to go further back to pre cal and possibly algebra .was looking at chronological order ……as a point to study your own lessons
    I hope I’m being clear

  • @Life_forms
    @Life_forms 7 месяцев назад

    thank you

  • @pjscoglio7482
    @pjscoglio7482 Год назад

    OHHHHH SHOOT thank you so much

  • @anurudhsingh8786
    @anurudhsingh8786 Год назад

    love you mam❤💞💕❣

  • @ssmod
    @ssmod 2 года назад

    Thanks !!!!!!!!

  • @MaheshPatil-lr7wv
    @MaheshPatil-lr7wv 3 года назад +2

    🙏

  • @dreaminfinite9286
    @dreaminfinite9286 2 года назад +1

    Very useful ❤️❤️thank u🥺

  • @adjgaming426
    @adjgaming426 3 года назад

    very useful, thanks so much!!!

  • @amanshah7780
    @amanshah7780 2 года назад

    Thank you maam 😊

  • @zmh27
    @zmh27 Год назад

    what if its The region in the first quadrant bounded above by the curve y = x^2, below by the x-axis, and on the right by the line x = 1, about the line x = -1

  • @Sanskar.28
    @Sanskar.28 3 года назад

    It's great in explaining I'd like to study more from you

  • @arwaibrahim8051
    @arwaibrahim8051 3 года назад

    Thank you so much!!!

  • @mrneet4189
    @mrneet4189 2 года назад

    Thank you

  • @nhowiecastillo8855
    @nhowiecastillo8855 3 года назад

    THANK YOU SO MUCH

  • @sonerika4238
    @sonerika4238 2 года назад

    What if you were to revolve around the line y=x? I feel like that just makes it 10x harder

  • @manishdharmani4695
    @manishdharmani4695 3 года назад

    Thanks alot!

  • @wairenlow
    @wairenlow 2 года назад

    Hi Ms.Callahan, thank you for the great video you made. But how do you determine the x or y variable distance is outside the shaded region or inside? Like example 1 your x variable distance is outside of shaded region and example 2 your y variable is inside the shaded region. I appreciate anyone's help!!

    • @nicollassdossantos
      @nicollassdossantos 2 года назад

      It depends on the plot but on both these cases (ex 1 and 2) there was a gap and thus Washer Method was used. It goes back to the definition of outer radius (furthest away from axis of revolution) and inner radius (closest to the axis of revolution). And we had to do a difference to be able to count units on a consistent manner, on the right direction. The shaded region is the region that is bounded by the parameters given on each question and it's the region of interest.

  • @TheBigMeme67
    @TheBigMeme67 Год назад

    I love u

  • @tensazs3843
    @tensazs3843 2 года назад

  • @jaskiratsingh4330
    @jaskiratsingh4330 3 года назад

    Tysm mam...it helps me alot!

  • @albitbiju3739
    @albitbiju3739 3 года назад

    Thanksa lot