Longer Version - Volumes using Disks/Washers

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  • เผยแพร่เมื่อ 19 ธ.ค. 2024

ความคิดเห็น • 391

  • @georgehanna8768
    @georgehanna8768 10 ปีที่แล้ว +557

    The noise in the background is coming from the monster that is responsible for bad grades.

    • @tamannaalam2938
      @tamannaalam2938 9 ปีที่แล้ว +29

      still waaaayyyy better than my prof.

    • @kicksomeup6998
      @kicksomeup6998 9 ปีที่แล้ว +10

      +George Hanna They are called satanic electro-farts.

    • @azizm0
      @azizm0 7 ปีที่แล้ว

      HAHAHAHAH MAN

    • @ACTlVISION
      @ACTlVISION 7 ปีที่แล้ว +47

      Some say it gets louder when you're watching this the same day as your calc final

    • @diy-projects
      @diy-projects 6 ปีที่แล้ว +4

      @@ACTlVISION I can confirm

  • @RisesInTheYeast
    @RisesInTheYeast 11 ปีที่แล้ว +158

    patrickJMT changed my life

    • @WretchedRecordsUS
      @WretchedRecordsUS 11 ปีที่แล้ว +38

      that should be on a shirt

    • @chadliampearcy
      @chadliampearcy 7 ปีที่แล้ว +6

      PatrickJMT is pulling me up, from the cliff I'm hanging onto with my shirt.

  • @FarrisTX
    @FarrisTX 12 ปีที่แล้ว +1

    You are the best person who can teach math on TH-cam PERIOD.
    Every time I take a class in math or I have to teach someone math I come right to your TH-cam Chanel. Keep the great work.

  • @jeshudastidar
    @jeshudastidar 9 ปีที่แล้ว +80

    I usually don't comment on your stuff but truly appreciate it. However, as I'm eating my cereal 6 in the morning and watching this, it clicked in my head. I just have these four words to say, YOU ARE THE BEST! I wish you see this.
    P.S. I'm trying to learn cal 2 on my own.

    • @grantmarshall6843
      @grantmarshall6843 5 ปีที่แล้ว +1

      i know im a little late but good luck lol. How'd it go?

    • @diags_1109
      @diags_1109 3 ปีที่แล้ว

      @@grantmarshall6843 Ya howd go
      Mr.WOng ohh well I go my phd now

  • @brooksolney3250
    @brooksolney3250 10 ปีที่แล้ว +60

    The important points you made outweighed the horror of that screeching noise. I've been having trouble with units 7.2 and 7.3, now onto your video on the shell method!

  • @nadiavasilenko4082
    @nadiavasilenko4082 6 ปีที่แล้ว +2

    This channel is by far the best I've found for math tutorials. My calc professor is useless and these videos are currently saving my life. Seriously, i love this dude

  • @michealtekler6316
    @michealtekler6316 12 ปีที่แล้ว +2

    This guy is amazing! I sit in lecture watching my teacher constantly messing up examples and going off on tangents.. But this guy has made Calculus way more clear!

  • @gargleburry
    @gargleburry 8 ปีที่แล้ว +248

    why aren't these people our teachers

  • @jarjarannoya2
    @jarjarannoya2 13 ปีที่แล้ว +1

    Thanks to you, I was able to skip precalculus completely and go into a very compressed, sped up, and challenging calculus 1 course in a summer semester and come out of it with an A....and I'm in high school!

  • @shafinsarwar6448
    @shafinsarwar6448 5 ปีที่แล้ว +3

    its 2019 and i am watching this...11 years ago you uploaded this video,when i was in class 6,now i am in 4th year of my University level...Thank you sir,your teaching skill is awesome...

  • @Cascada194
    @Cascada194 12 ปีที่แล้ว +4

    This is by far more explanatory than the video lessons I use. Thank you.

  • @malgorzataigras5212
    @malgorzataigras5212 11 ปีที่แล้ว +1

    you are the best Pat - clear, to the point, convincing etc. - all the best from Ireland

  • @danceinlove98
    @danceinlove98 12 ปีที่แล้ว

    OH MY GOD WHOEVER YOU ARE PatrickJMT THANK YOU! Seriously, my teacher is the worst but his exams are hard. You saved me. Infinite thank yous

  • @CBeard98
    @CBeard98 7 ปีที่แล้ว +2

    I don't know how my professor made finding the radius so difficult. You are a great teacher.
    Thank you

  • @kayisire9883
    @kayisire9883 4 ปีที่แล้ว +2

    12 years ago and it’s very clear and understandable thank you Patrick

  • @patrickjmt
    @patrickjmt  15 ปีที่แล้ว +5

    no, it really just depends on the functions given : )
    although if you look at examples from a lot of textbooks, i could see how you would get that impression : )

  • @patrickmoloney672
    @patrickmoloney672 8 ปีที่แล้ว +2

    Patrick is so good and fast at explaining maths that he should charge per minute. It takes him 20 min to explain application of integration (volume).

  • @omardahbali5596
    @omardahbali5596 9 ปีที่แล้ว +2

    You are a life savor Pat so Thank you. Two professors along with a friend of mine have tried to explain this to me but I failed to understand it till now.

  • @BrownieX001
    @BrownieX001 10 ปีที่แล้ว +6

    This somehow made more sense than anything I have done before. I don't know why maybe it was the whistle but you explain like my professor but I understand you more than him. I did not get these integral application problems until I watched a couple of these videos in the integral playlist. Long time follower and still being confused and then helped by you. Thanks.

  • @gibbousm
    @gibbousm 12 ปีที่แล้ว +1

    i like your videos, just wish I had found them earlier in the semester rather than right before finals but they were great in helping me review.

  • @nodnal1357
    @nodnal1357 10 ปีที่แล้ว +27

    you literally taught me this chapter in an hour, when my calc teacher couldn't do it in a week. you. are. EPIC!!

    • @1light4love
      @1light4love 4 ปีที่แล้ว +1

      oh Thank God... this gives me hope. First Calc2 exam is on my Birthday Tuesday... right after my first paper is due and first BioChem exam Monday.... HAPPY. BIRTHDAY. ME. *cue Patrick🙌🎉🎂🙏*

  • @patrickjmt
    @patrickjmt  12 ปีที่แล้ว

    thanks for choosing me first :) glad you like my stuff!

  • @mudkip6311
    @mudkip6311 5 ปีที่แล้ว +1

    Hi Mr. Patrick,
    Thank you for your kindness and allowing us to learn from your videos for free.
    It's useful for many people and I'm very grateful for them.
    Thank you so much!!

    • @patrickjmt
      @patrickjmt  5 ปีที่แล้ว +1

      you are most welcome :)

  • @1khoury
    @1khoury 10 ปีที่แล้ว +2

    You are great Patrick. Saved my life on almost every ap calc test i've had this year.

  • @ferjongew
    @ferjongew 12 ปีที่แล้ว

    Patrick! I do the same! but my list goes:
    1) Take useless notes from the class
    2) Struggle at home deciphering a 1991 math book my professor wants me to use
    3) Realize nothing works
    4) Watch PatrickJMT, take notes from him
    5) Finally understand the subjects!

  • @MusicDJz1
    @MusicDJz1 10 ปีที่แล้ว +2

    This is a hell of a lot less complicated than the way my calc teacher explained it! I love you soooo much!! xoxo

  • @RogerKlauser
    @RogerKlauser 10 ปีที่แล้ว +2

    Patrick, thank you so much for all of your help. Your videos have helped me out ever since the beginning of calculus. Mid-term is on Tuesday, and now I feel prepared!

  • @patrickjmt
    @patrickjmt  14 ปีที่แล้ว +1

    @cyborgninja74 yes, you can just find the points of intersection and take a number in-between those, plug it in, see which is larger and which is smaller

  • @Canada9318
    @Canada9318 13 ปีที่แล้ว +1

    @patrickJMT Yes, I pause your videos and solve the problem then watch how you do it. Then of course, I do the suggested exercises. Calculus is getting pretty interesting too so that helps.

  • @prcushinplaya08
    @prcushinplaya08 11 ปีที่แล้ว +1

    Wow. I was terribly confused by the whole (8-x) thing, with the distances and such. Incredibly helpful. Thank you.

  • @ashwins8173
    @ashwins8173 10 ปีที่แล้ว +1

    Thanks so much i found your disk,washer,and shell method explanations with examples very helpful. You explained it better than my teacher !!! :)

  • @tinaMONSTUR
    @tinaMONSTUR 9 ปีที่แล้ว +5

    I have a final tomorrow and your videos are really helping me understand the materials. I am very grateful and thankful for them, god bless.

  • @mistersirisaacnewton
    @mistersirisaacnewton 13 ปีที่แล้ว

    i was failing calculus and doing really poorly on the tests, once i started to watch your videos, my test scores went above the class average. Your videos are so helpful!!

  • @patrickjmt
    @patrickjmt  16 ปีที่แล้ว +2

    all except the one's in my classes... : )
    i am glad you find them so useful and of good quality : )

  • @accel103
    @accel103 12 ปีที่แล้ว +1

    19:17 confusing?? this was crystal clear jus like all of your videos! thank you

  • @Bakugantsuvai1
    @Bakugantsuvai1 11 ปีที่แล้ว +1

    Damn... why doesn't this guy have a TH-cam Partnership already! This guy is more concise than KhanAcademy in some scenarios and this video is one of them.

  • @1230lilyjune
    @1230lilyjune 13 ปีที่แล้ว

    Patrick you are simply amazing. If i were a college professor, i would attach every link of your video to the syllabus. It will make everyone's life so much easier

  • @MTB-Josh
    @MTB-Josh 11 ปีที่แล้ว

    That arrow method to find the inner and outer radius saved me! That was the only part of my next test that I was having a hard time with for some reason. I was looking for a technique and of course you come through! Appreciate it!

  • @tuliosheihee7204
    @tuliosheihee7204 9 ปีที่แล้ว +2

    on 6:49, the answers in A, B and C are pi/6, 7(pi)/6 and 5(pi)/2 respectively

  • @TheMWKH
    @TheMWKH 8 ปีที่แล้ว +8

    I really appreciate your work on making things easier for us to understand. Keep up the good work!

    • @patrickjmt
      @patrickjmt  8 ปีที่แล้ว +5

      +Meutia Hakim thanks! I'll do my best! :)

  • @MundusLitterae
    @MundusLitterae 16 ปีที่แล้ว +1

    Awesome thanks. I used these videos last semester for Cal I and now I'm still using them for Cal II :D Thank you so much!! You were able to explain everything so easily and clearly! :D

  • @jumanafathima8853
    @jumanafathima8853 7 ปีที่แล้ว +1

    Thanks for all the work you put into your videos. You've continued to help me throughout my math in high school and college, and I can't thank you enough!

  • @cheesesandwich12
    @cheesesandwich12 12 ปีที่แล้ว

    I think I speak for many calc students when I say washers are one of the most confusing concepts to learn, but you make it seem so easy and I wonder why I ever had any trouble at all! Thank you so much :)

  • @taeyang
    @taeyang 12 ปีที่แล้ว

    I wish I had known about patrickJMT before, EVERYTHING MAKES SENSE NOW ! Test in two hours...

  • @thriveclub
    @thriveclub 8 ปีที่แล้ว +5

    You saved my life. If only my teacher explained it this way! Thank you!

  • @eggman1112
    @eggman1112 5 ปีที่แล้ว +1

    youre a beast, I was struggling with this topic for weeks but your video got me through it in 20 minutes, THANK UUUU

  • @mrgames4people
    @mrgames4people 7 ปีที่แล้ว

    11:48 I had an epiphany and everything clicked! Patrick is truly a god among men

    • @patrickjmt
      @patrickjmt  7 ปีที่แล้ว

      it feels so good when it all of a sudden makes sense! i've had so many of those moments

  • @MrAlbashiri
    @MrAlbashiri 10 ปีที่แล้ว +26

    Thank you. You are the best. You explained what my tutors and university couldn't. Love you.

  • @mr.ode22
    @mr.ode22 6 ปีที่แล้ว

    hey man it's been 10 years and you're still the goat for helping me in everything math, i hope you're doing well

  • @patrickjmt
    @patrickjmt  16 ปีที่แล้ว +1

    i have quite a few graphing... a vid on basic graphs you should know, along with graph transformations... perhaps those will help! if not, let me know more of what you would like to see.

  • @iSmileForYouxNot
    @iSmileForYouxNot 10 ปีที่แล้ว +11

    Thank you! I didn't realize what I was learning in class was actually pretty easy

  • @saladking2370
    @saladking2370 4 ปีที่แล้ว

    I'm so glad you put a negative axis example, I couldn't figure it out

  • @UAa320
    @UAa320 8 ปีที่แล้ว +1

    Patrick you're the best, this makes much more sense now thank you so much for explaining this concept.

  • @happyboy1029
    @happyboy1029 8 ปีที่แล้ว +1

    thank you soooooooooooooo much, you're a life saver. your explanation and view on this is so helpful. my professor over complicates things and makes it harder than it seems to be.

  • @bAdDA5z
    @bAdDA5z 12 ปีที่แล้ว +1

    i really like the arrow trick he shows to find the big radius and small radius.

  • @moinaction
    @moinaction 11 ปีที่แล้ว +1

    How do I get my donation to you? You're a life saver for many students. Whatever we all can do to help so you can keep making all these videos for generations to watch. Thanks

  • @jbear395
    @jbear395 8 ปีที่แล้ว +22

    6:20 "... kind of look like the tip of a bullet, to use a violent example..." lol

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว +1

    @Canada9318 dont forget the most important part: work on problems!

  • @lamiah3197
    @lamiah3197 9 ปีที่แล้ว +1

    Thank you so much! That was really helpful for my final exam, you're way better in simplifying it than my professor

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว

    @Canada9318 ok, just making sure : ) it is amazing how many people skip that step so often.

  • @sravanibhukya2933
    @sravanibhukya2933 4 ปีที่แล้ว +1

    Great..after watching many videos I got this one ...crystal clear explanation 👌

  • @BdonYoo
    @BdonYoo 12 ปีที่แล้ว

    Holy shit... I have a mid-term coming up, and my chances just went from hopeless, to pretty damn good!! Thank you thank you thank you!

  • @jevcampbell2301
    @jevcampbell2301 4 ปีที่แล้ว +1

    God bless this man's soul. Even in 2020 through corona crisis, his videos are the light. I swear the amount of help he's given me. Gives me hope to remain at this university. Man, your videos will help Thousands. If I graduate I will be putting you in my speech.

    • @patrickjmt
      @patrickjmt  4 ปีที่แล้ว +2

      ha, happy to help :)

  • @shalinighosh516
    @shalinighosh516 9 ปีที่แล้ว

    You are literally the best . You can explain the difficult concepts in such a manner that even a layman can comprehend. Keep making these awesome videos. Much love from India. :)

  • @rookiebluefan
    @rookiebluefan 9 ปีที่แล้ว +1

    Thank you so much for making these videos! You're literally helping me survive my calc class!

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว +1

    @xshanayy wonderful! : ) glad you like my stuff!

  • @11preacher11
    @11preacher11 12 ปีที่แล้ว

    I cannot explain how much you help us, I'm sure I can speak for everybody here.
    Thank you

  • @yashkapoor5894
    @yashkapoor5894 5 ปีที่แล้ว +1

    This was brilliantly explained. Thank you buddy! Understood this topic in 20 mins! :D

  • @WompyConk
    @WompyConk 11 ปีที่แล้ว +1

    Does anyone else seem to have an easier time learning from Patrick than through your own teacher?

  • @mikecough3749
    @mikecough3749 12 ปีที่แล้ว

    I love this guy!! Even though he doesn't have all the high tech display like Khan he is way better! I Love the sharpie and paper...old school.

  • @vonjosephmapa6276
    @vonjosephmapa6276 10 ปีที่แล้ว +1

    you didnt have the most advanced studio but your penmanship and the way you explain things are much better than those who have the advanced way.. everything was clear except for the annoying high frequency sound.. hahaha.. made me second guessed if this was physics or calculus.. xD
    keep up the good work. :)

  • @hatove.9418
    @hatove.9418 11 ปีที่แล้ว +1

    That awkward moment when the advertisement is of a math tutor, while you're waiting for your math tutoring video to load...

  • @nexsus96
    @nexsus96 8 ปีที่แล้ว

    You are a true hero with your channel.

  • @xrocabusx
    @xrocabusx 12 ปีที่แล้ว

    Men this guy is the best... I am taking calc 2 and my teacher is a complete moron .... I watch patrick and knowledge and understanding appear....

  • @erdemgezici2132
    @erdemgezici2132 8 ปีที่แล้ว

    honestly this channel has bad and reaaaly good sides. i dont listen my prof and math lesson cuz of you but i get more than 85 from exam thank you soo much

  • @laylajameel5106
    @laylajameel5106 5 ปีที่แล้ว +2

    After 1 minute of watching the video, I understood the lesson 😂, Thank you

  • @jamesrandall5844
    @jamesrandall5844 6 ปีที่แล้ว

    man your good at explaining these things. I have been watching your videos for Calc 2 and it makes sense to me now due to you. thank you so much

  • @Jono.
    @Jono. 8 ปีที่แล้ว +8

    Good ole Patrick integrating binaural audio into his videos to help us retain even more!

  • @vhyleung
    @vhyleung 8 ปีที่แล้ว +1

    This made it so much easier to understand! Thanks so much :)

  • @bluemagoo9219
    @bluemagoo9219 12 ปีที่แล้ว

    You deserve the most advanced studio!

  • @misshaily88
    @misshaily88 13 ปีที่แล้ว

    Kinda sounds like a teapot whistling the entire time, but I didn't really care. This video was TREMENDOUSLY helpful. I feel a lot better about taking my Calc test tomorrow!

  • @Valhala112
    @Valhala112 13 ปีที่แล้ว

    Bullets aren't violent; killing is.
    Other than that, great vid! Sooper clear and elucidative! This'll surely prepare me for the new semester (2 days!)

  • @ramshambo2001
    @ramshambo2001 14 ปีที่แล้ว

    Thank you very much. Your made it much more clear then my Calc 2 teacher!

  • @jessi9375
    @jessi9375 10 ปีที่แล้ว +1

    Thank you so much! This really cleared things up for me!

  • @hsuppu6049
    @hsuppu6049 6 ปีที่แล้ว +1

    Thanks a million for your helpful video. I don't have to worry about squeaking through my next calc test next Fri.

  • @XXKERRAXX
    @XXKERRAXX 5 ปีที่แล้ว +2

    this was EXTREMELY helpful, tysm, def gonna pass my calc test tomorrow

  • @fasihz
    @fasihz 3 ปีที่แล้ว

    Thinking about this in terms of outer and inner radius helped!

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว

    @SolitaryAngel917 yep

  • @dolphinsatsunset1
    @dolphinsatsunset1 9 ปีที่แล้ว +23

    These types of videos make me hungry for some apple pie or pumpkin pie.

    • @Sahfarry
      @Sahfarry 9 ปีที่แล้ว +1

      im really curious now. why pie?

    • @dolphinsatsunset1
      @dolphinsatsunset1 9 ปีที่แล้ว +12

      Sahfarry because of so much pi. lol

    • @master_ch-yi-fjayce7228
      @master_ch-yi-fjayce7228 7 ปีที่แล้ว +1

      I just HAD to see this comment in Pi day. In a video with what's essentially circular cross sections.

  • @kimhughes319
    @kimhughes319 10 ปีที่แล้ว +1

    This video just saved my life. (and my grade). THANK YOU.

  • @zain4019
    @zain4019 7 ปีที่แล้ว +1

    Combining forces using khan academy and pjmt is just perfect for this concept

  • @MariaReyes-kt2bc
    @MariaReyes-kt2bc 8 ปีที่แล้ว +1

    Oh my thank you so much for making this feel much more understandable.

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว

    @NovaSazoku yea, this video does unfortunately. this is what happens when you are broke (poor equipment) and have no idea how to make videos : ) (that is, this was an earlier video)

  • @patrickjmt
    @patrickjmt  16 ปีที่แล้ว +1

    my pleasure

  • @mhskyblue123
    @mhskyblue123 8 ปีที่แล้ว +1

    You are truly Sin Pi ....see what I did there? But seriously your videos really help with understanding the concept in such an easy and efficient way! Got my calc exam tomorrow so learning from your videos, wish you were my calc prof :/

  • @segull009
    @segull009 11 ปีที่แล้ว

    GOsh!! U rocksss! U should come n be my prof at school! I m so confused with Areas between curves n volumes for disk/washers n shells method!!
    THANK YOU SO MUCH!!

  • @rolando0151643
    @rolando0151643 7 ปีที่แล้ว

    This video is 100x better explained than the actual book; I don't know why the book makes it more complicated when explaining this.

  • @cokezero2585
    @cokezero2585 10 ปีที่แล้ว +1

    excellent, thank you. Especially that last example.

  • @rahafalazzeh5986
    @rahafalazzeh5986 7 ปีที่แล้ว +1

    Thank you so much for making these videos you are a great person ❤️keep on rocking 🤘

  • @westonmulenga6421
    @westonmulenga6421 8 ปีที่แล้ว

    i thought i will never understand this Topic as i was really confused in class today BUT am now ok,i get the all basic idea THANK U SİR