Q313, Centroid formulas of a region bounded by two curves

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  • čas přidán 28. 08. 2024
  • The centroid of a region bounded by curves, integral formulas for centroids, the center of mass,
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Komentáře • 84

  • @AmmarEmadDerby
    @AmmarEmadDerby Před 3 měsíci

    I was stuck in a calculus problem for a day until I met this explanation, thx bro

  • @TheBlueboyRuhan
    @TheBlueboyRuhan Před 5 lety +21

    Wow, It's like you know what topics I need to revise! Your upload schedule is perfect!

  • @Morgow1
    @Morgow1 Před 5 lety +9

    I just finished high school math. I feel smarter from this video already.

    • @clap_lmao
      @clap_lmao Před 4 lety +3

      you did centroids in highschool tf im doing them in statics engineering rn xD

    • @JJCUBER
      @JJCUBER Před 3 lety +2

      @@clap_lmao I’m in high school and I had to do them for Calc II at the beginning of the school-year. The only difference is we were taught it with including the density constant in the (now) mass and moment formulas, even though they cancel out. I presume it was in order to understand if/when we actually need the proper mass/moment for other formulas?

  • @Sofia-kh1xy
    @Sofia-kh1xy Před 3 lety +1

    so glad i found this channel! you explain things so nicely it's very easy to understand

  • @themaxmah4552
    @themaxmah4552 Před 3 lety +1

    Thank you so much! Your videos are so helpful. You are a great teacher and the examples are short and very direct

  • @poemyathaythar7172
    @poemyathaythar7172 Před rokem

    I would like to say this man is single handed lay keeping my grades at an A

  • @Gaark
    @Gaark Před 5 lety +2

    AHAAH!! I can show this to the civil engineering students and prove they need to do calculus! They were hassling because it was only the electricals that had to do higher math, ahaha I'm so happy! :D

  • @kc3673
    @kc3673 Před 7 měsíci

    Ahhh mathematics is so fabulous😮

  • @derekwilliams9671
    @derekwilliams9671 Před 11 měsíci

    You're great at explaining, thank you!

  • @mwilamwamba1787
    @mwilamwamba1787 Před rokem

    Perfect for last minute revision

  • @pasindudilmin3357
    @pasindudilmin3357 Před rokem

    This is really helpful 🥺❤️

  • @rezamiau
    @rezamiau Před 5 lety +1

    good tutor.

  • @geethaudupa8930
    @geethaudupa8930 Před 5 lety +4

    Nice to learn new stuff thank you 1/(1-x)

  • @toxikologi4976
    @toxikologi4976 Před 5 lety +1

    Hi, I love your videos and channel! Would you consider covering Cauchy principal value? I find it really interesting but I don't understand it 😂

  • @egillandersson1780
    @egillandersson1780 Před 5 lety

    Wow ! Amazing video. I didn't know this.

  • @lenawalid
    @lenawalid Před rokem

    You make me believe in CZcams

  • @unaoneill9079
    @unaoneill9079 Před 3 lety

    Very helpful

  • @blobfishrus3547
    @blobfishrus3547 Před 5 měsíci

    beautiful

  • @dovimanking871
    @dovimanking871 Před 4 lety

    Thank you

  • @alexander17293
    @alexander17293 Před 5 lety +1

    You are awesome

  • @vonlouieapalacio4455
    @vonlouieapalacio4455 Před 3 lety

    THANKS 😊

  • @perveilov
    @perveilov Před 5 lety +1

    Have you ever use statistics to check on the relativity of certain formula?

  • @MaySaysSo
    @MaySaysSo Před 4 lety

    THANK YOU SO MUCH MY FINAL EXAM IS TOMORROW

  • @oneinabillion654
    @oneinabillion654 Před 5 lety +1

    I just finished my A levels and Im learning calculus myself before I go into uni. I'm thinking what if I connect infinitely many centroids of each rectangle and then find the median along the x and y axis since mass is assumed to be distributed equally. Would that work?

  • @JamalAhmadMalik
    @JamalAhmadMalik Před 5 lety

    #Yay. The question I recently had in mind was a bit related to probability... What happens to the probability of getting a number divisible by 5, as you move from 1-digit numbers to 2-digit numbers, to 3 to n-digit numbers?
    And as n approaches infinity?

  • @AnonimityAssured
    @AnonimityAssured Před 5 lety +13

    How can I concentrate on this when I'm thinking of "e as an infinite sum"?

    • @kylercrank160
      @kylercrank160 Před 5 lety +1

      truee lol

    • @willnewman9783
      @willnewman9783 Před 5 lety

      What do you mean?

    • @AnonimityAssured
      @AnonimityAssured Před 5 lety

      @@willnewman9783 The video "e as an infinite sum (using binomial theorem)" appeared among my notifications but was then withdrawn for some reason. It will probably appear again later. Maybe there was some technical fault or a rare mistake in the maths.

    • @danielgarai-ebner1334
      @danielgarai-ebner1334 Před 5 lety

      I was so confused because I watched it earlier and then it suddenly wasn't there, at least I'm not going crazy...

    • @willnewman9783
      @willnewman9783 Před 5 lety +2

      @@AnonimityAssured Oh okay, I thought you meant something like that. Yeah, I saw that video yesterday. I noticed there was a part in the video that, while mostly correct, needed a bit more justification than what he gave. I am guessing he is refilming it adding further explanation

  • @efeguleroglu
    @efeguleroglu Před 5 lety

    Thank you!

  • @alexdemoura9972
    @alexdemoura9972 Před 5 lety +1

    Sorry, but what happened to the video "e as an infinite sum (using binomial theorem)"?

  • @AlphaZero4000
    @AlphaZero4000 Před 5 lety

    I really like these centroid videos. You should make more!

  • @dimacherepovskyi8600
    @dimacherepovskyi8600 Před 5 lety +2

    Why are you dividing by the area? I don't understand.

    • @newtonnewtonnewton1587
      @newtonnewtonnewton1587 Před 5 lety

      Its a rule

    • @efeguleroglu
      @efeguleroglu Před 5 lety

      centroid= sum(area*distance)/sum(area)

    • @alicwz5515
      @alicwz5515 Před 5 lety

      It's a weighted average of all the points inside the funtions, based on their areas.

    • @rajita4920
      @rajita4920 Před 3 lety

      Actually we have that area multiplied to the object's surface density . But since we have surface density term taken out common on the numerator as well , it gets cancelled . He mentioned it in the beginning of the video .

  • @13favio13
    @13favio13 Před 5 lety

    Great, some idea how to prove and find the intersection of f (x) = e ^ x and g (x) = tg (x). ? ...

  • @srpenguinbr
    @srpenguinbr Před 5 lety

    for y bar, can we use the inverse function?

  • @g4br1p3r3z
    @g4br1p3r3z Před 5 lety

    Can I use integral double? (sorry for my English)

  • @vyas2004
    @vyas2004 Před 5 lety +3

    I am in 9th :( , but still love your videos :)

  • @alimghazzawi3700
    @alimghazzawi3700 Před 5 lety

    I just thought of an interesting question or at least I think it is. Is the sum of sequence of x^(1/x) when x approach infinity ♾ starting from one is it diverges or converges.
    and if it is converges can you tell us the value of it.
    I thought of one method that thought us which is convert it to an integral and worked out and see if it converges then the sequence is conv too. But this integral is not elementary so.
    but at the end I think it is diverges because if we graph it. The area under the graph is ♾ .

    • @alimghazzawi3700
      @alimghazzawi3700 Před 5 lety

      Porhaps May be you show us a ramanojan solution

    • @sensei9767
      @sensei9767 Před 5 lety

      You can just do the test for divergence, x^(1/x) doesn't approach 0.

    • @alimghazzawi3700
      @alimghazzawi3700 Před 5 lety

      Sensei. Its a sequence if we use the integral method that he showed us you can’t worked out because how can you integrate x^(1/x) at the first place

    • @sensei9767
      @sensei9767 Před 5 lety

      @@alimghazzawi3700 x^(1/x) approaches 1 for x -> infinity. 1+1+1+... can't possibly converge to a finite value, you don't need any integral to prove that.

    • @alimghazzawi3700
      @alimghazzawi3700 Před 5 lety

      Sensei I know i wrote that at the end of
      the first comment . I am interested on if there is a ramanojan solution or a solution that is like -1/12

  • @jikaikas
    @jikaikas Před 5 lety

    Berry cool

  • @Patapom3
    @Patapom3 Před 5 lety +2

    Nice but you should have explained what is a moment first... I'm still not sure what it is. :/

    • @srpenguinbr
      @srpenguinbr Před 5 lety

      moment of inertia is an analog for mass in rotational motion. The higher the moment, the lower the acceleration of an object around an axis. If you play around with the formula for kinetic energy, you can find out how to calculate it.

  • @3ia18_prasetyaharkrisnowo7

    I was about to wake up then this video appears

  • @muhammadqasim7056
    @muhammadqasim7056 Před 5 lety

    Cycloids nest please!and the derivation of 3pir^2

  • @carrapaz3645
    @carrapaz3645 Před 5 lety

    Maaaan pick up my challenge on pathreon!

  • @solidwaterslayer
    @solidwaterslayer Před 5 lety

    tldr
    but do i do integral f(x) - integral g(x)

  • @andresfelipepinedavargas36

    Just before my static test !! coincidence? I do not think so

  • @dt3653
    @dt3653 Před 5 lety

    Collab with Eddie woo would be interesting.

  • @Pritzelita
    @Pritzelita Před 5 lety

    That looks sorta similar to the mean value theorem I learned last semester

  • @ritampal8222
    @ritampal8222 Před 4 lety

    I really admire your vids a lott.!! you explain beautifully. but i hv a doubt, can you show how to do this by horizontal strip of area? im facing trouble in it..

  • @marquez2390
    @marquez2390 Před 5 lety

    Do video on gaussian integral please

    • @Gold161803
      @Gold161803 Před 5 lety

      Dr Peyam has done twelve of them recently!

  • @amankashyap5767
    @amankashyap5767 Před 5 lety

    what was the video about, you deleted.

  • @ericsenatore8385
    @ericsenatore8385 Před 5 lety +1

    Uploaded 30 minutes after my statics final...

  • @ClumpypooCP
    @ClumpypooCP Před 5 lety +3

    too late... just had my calc 2 final exam last week lol

    • @blackpenredpen
      @blackpenredpen  Před 5 lety +1

      Clumpy. Are you on quarter?

    • @ClumpypooCP
      @ClumpypooCP Před 5 lety +2

      blackpenredpen I go to UBC in Vancouver, basically the normal school year is two semesters, September-April with April being exam period.

    • @blackpenredpen
      @blackpenredpen  Před 5 lety +1

      Clumpy
      Oooh I see. No wonder. I thought you would be on a quarter system

    • @ClumpypooCP
      @ClumpypooCP Před 5 lety +1

      blackpenredpen Yeah, its quite crazy to me how we have a 4 month summer break compared to the 2 month break we get in high school. I have a Linear Algebra exam next week and then im done!

    • @blackpenredpen
      @blackpenredpen  Před 5 lety +3

      Clumpy 4 months break!!!!!!!! Now I am jealous!! Oh, and you can check out dr. Peyams channel for linear algebra true false problems!!

  • @stonedera431
    @stonedera431 Před 5 lety

    I don't understand why I sing BPRP in the same tune as PPAP🙄

  • @stuartyeo5354
    @stuartyeo5354 Před 4 lety

    Hello

  • @sylvainm-v7919
    @sylvainm-v7919 Před 5 lety

    Hi

  • @suirahplanogemo3407
    @suirahplanogemo3407 Před 5 lety

    All of his videos are clearly clickbait. See, he uses black MARKERS and red MARKERS, not blackpenredpen

  • @mtrichie111
    @mtrichie111 Před 4 lety

    Um Hi

  • @valeriobertoncello1809

    Hi