Determining Coefficients for Partial Fractions

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  • เผยแพร่เมื่อ 30 ม.ค. 2025

ความคิดเห็น • 464

  • @maxbolton737
    @maxbolton737 9 ปีที่แล้ว +379

    When you can't find it on Khan Academy, my boy PatrickJMT got you covered

    • @vincentandrew4717
      @vincentandrew4717 9 ปีที่แล้ว +18

      Max Bolton the Lannisters send their regards

    • @patrickjmt
      @patrickjmt  9 ปีที่แล้ว +144

      +Max Bolton i think you have that backwards

    • @alonsoalzua440
      @alonsoalzua440 9 ปีที่แล้ว +4

      +patrickJMT you are the man

    • @alonsoalzua440
      @alonsoalzua440 9 ปีที่แล้ว

      +alonso alzua where did we found the "3/5"

    • @Mahmood367
      @Mahmood367 9 ปีที่แล้ว

      +alonso alzua we substituted x = -1 from (x+1)^2 and D only had (X+1)^2 so we equalled it to 3 and solved it check 15:08 to see it in this video

  • @avianbc
    @avianbc 14 ปีที่แล้ว +11

    Patrick, you are seriously my hero. I had a 77 in my calc 2 class. After discovering your videos I brought it up to a 92, letting my keep my 4.0 GPA. I have recommended your videos to all of my classmates and the whole class's grades went up. You have no idea how much help you have been to math students around the whole world. We are forever indebted to you.

  • @schrodingerscat3912
    @schrodingerscat3912 8 ปีที่แล้ว +99

    at my university we have study rooms in the library full of students watching PatrickJMT on big screen TVs. PatrickJMT is the Psy of math. Trump says he's tremendous

    • @patrickjmt
      @patrickjmt  8 ปีที่แล้ว +119

      the best, the best. everyone loves him, just loves him. true story.

  • @thawdani
    @thawdani 11 ปีที่แล้ว +23

    i don't know where i would be... without Patrick J M T!

  • @Somozaallday
    @Somozaallday 8 ปีที่แล้ว +2

    It is insane how u still reply to comments from 8 years ago. Thank you so much for your work! It is currently saving my ass!!

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว +1

    @muppenz thank you very much for the kind words. just doin' my best here and hoping that it helps

  • @Machammerballs
    @Machammerballs 14 ปีที่แล้ว

    thanks! You just saved me about an hour of head ache, my book just totally glosses over this step. So annoying, goes into to excruciatingly unnecessary detail about finding the LCD then skips this step entirely and the next step magically appeared. One line was all I needed! Thanks so much man!

  • @punampatel888
    @punampatel888 8 ปีที่แล้ว

    You are saving my life right now. I swear integrating with partial fractions was making absolutely no sense to me before watching your videos. Thank you so much.

  • @MarioLopez3209
    @MarioLopez3209 11 ปีที่แล้ว +1

    Just gonna take a second to say thanks so much for the sacrifice you make in producing these videos, they properly explain everything with that one on one feel. It truly helps alot and I'd like to say thank you my friend.

  • @patrickjmt
    @patrickjmt  14 ปีที่แล้ว +3

    @ClownDatWalk for the first year and first few hundred videos, it was simply just something to do; then google started its partner program so i do now get a cut of the ad revenue that google makes from my vids. it was never my intent to make money from the videos, just a nice opportunity that came up along the way. thanks to their program, i am able to cut back on my tutoring job which is why i have been able to post many more videos this past year

  • @GDrocks24
    @GDrocks24 12 ปีที่แล้ว

    I'm sure you hear this all the time..but dude, you seriously are a hero. What I couldn't understand in class, has now become second nature due to your incredible help!!!! THANKS!!

  • @DJOgurchik
    @DJOgurchik 13 ปีที่แล้ว

    dude ur the man!! you understand how many people you are helping out on exams and stuff. You are taking a big part in making this world better by educating engineers and people alike!

  • @patrickjmt
    @patrickjmt  14 ปีที่แล้ว

    @shadowx33 yes, there is a mistake in the system of equations when equating coefficients

  • @noreeta_2553
    @noreeta_2553 8 ปีที่แล้ว +180

    B+4C+4D=3
    !!!!!!!!!!!!!!!!!!!!

    • @xXxGnuVirusxXx
      @xXxGnuVirusxXx 8 ปีที่แล้ว

      lol yup i knowXD

    • @hanisharun2505
      @hanisharun2505 8 ปีที่แล้ว

      noreeta adam i think so too

    • @divyaharjan3412
      @divyaharjan3412 7 ปีที่แล้ว

      noreeta adam yeahhh

    • @omaralsyouf8385
      @omaralsyouf8385 7 ปีที่แล้ว

      I know it

    • @nabbaalobeidy9374
      @nabbaalobeidy9374 6 ปีที่แล้ว +4

      Noreeta Adam I know!!!!! That’s what I thought too!! I’m like “Whoops that’s wrong, please fix it, please fix it” lol

  • @patrickjmt
    @patrickjmt  12 ปีที่แล้ว +12

    yes, it is a mistake that tons have pointed out in the comments as well as the annotations

  • @muppenz
    @muppenz 13 ปีที่แล้ว

    PatrickJMT is the best tutor on youtube. Thanks for your excellent videos. You've helped so many engineering students graduate!

  • @perushank
    @perushank 4 ปีที่แล้ว

    Coming back 2 years later, needed a refresher on partial fractions for Laplace transforms. Thanks Patrick!

    • @patrickjmt
      @patrickjmt  4 ปีที่แล้ว +1

      my pleasure! come back any time :)

  • @skellyton9163
    @skellyton9163 8 ปีที่แล้ว +6

    Just passed my exam. All the best, man!

  • @dtballer42911
    @dtballer42911 12 ปีที่แล้ว

    can't thank you enough man, this is exactly what i need to reinforce my understanding of what the teacher slops up on the board every day.

  • @DeneuveBrutus
    @DeneuveBrutus 14 ปีที่แล้ว

    Yes, I have a test tomorrow 9/17, I hadn't a clue what I Partial Fractions were. The Teacher rushes through his lectures because we only have 50 minute per periods. This has really helped me grasp the material. Thank You!

  • @kellyvo4432
    @kellyvo4432 10 ปีที่แล้ว +1

    I just want to thank you for helping me. Without you I may have never passed calculus.

  • @KyleP133
    @KyleP133 13 ปีที่แล้ว

    My teacher taught us a simplified version of these methods... but without going through the trouble of teaching the details like you did, I got real confused about why you do certain things. I much prefer your teaching methods. Thanks for going into details.

  • @jonbovi-69
    @jonbovi-69 7 ปีที่แล้ว +2

    I don't think I was the only one who noticed, but I guess you got it wrong on the last part... It should be 3 instead of 0. I hope you don't do the same mistake again, but so far so good... you really are a good teacher and you did great tho. I really learned a lot on making up the tedious parts especially on doing manipulations. thank you patrick :)

  • @paranoidcomet
    @paranoidcomet 4 ปีที่แล้ว

    You're a lifesaver.
    Quarantine sucks when online classes are still ongoing and I can barely understand a thing.

    • @patrickjmt
      @patrickjmt  4 ปีที่แล้ว

      yea, i don't think anyone is enjoying it :)

    • @paranoidcomet
      @paranoidcomet 4 ปีที่แล้ว

      @@patrickjmt Sorry, I didn't mean to come off that way. I meant it makes quarantine less tolerable.
      Thanks a ton to you though! Your videos have reaaally helped me since 11th grade. :)

  • @ThePinkelephant97
    @ThePinkelephant97 11 ปีที่แล้ว

    Just wanted to say thank you for all of the great amazing videos. I know lots of people come here who have horrible teachers and what not but I just come here to review what I learned and really strengthen my math skills.....and just browse over some parts that Im not so sure about....Thank you!!!! :)

  • @Tyrone9951
    @Tyrone9951 7 ปีที่แล้ว

    patrickJMT...come to my university's maths department study area and just look at atleast 40 students watching patckJMT... KING

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว

    @jaysoonii am i on youtube university? they would not let me on before since i am not affiliated with a particular university, except for the university of patrickjmt

  • @uncledad021
    @uncledad021 14 ปีที่แล้ว

    you're the man...i wish u taught every single of my college classes. keep it up.

  • @terrellwebb2899
    @terrellwebb2899 7 ปีที่แล้ว

    I knew the cases but didn't know when exactly to apply them, especially the repeated factors....thanks for showing me how to approach it. Great explaination. I have a test on partial fractions, graphing rational functions and quadratic roots. YOU GIVE ME HOPE!!!

  • @Darknesswave
    @Darknesswave 12 ปีที่แล้ว

    It's been many quarters since I've taken my last math classes and I've forgotten how to do things like this that I need in engineering now. Thank you!

  • @khaled450
    @khaled450 15 ปีที่แล้ว

    You are one of the supporter to spread the love around the world by contributing your knowledge to everyone. Man I wish there is a way to vote you as one of the very few people who do help million people around the globe thru the internet. I just wish you all the best and success in your life. God bless you xoxo

  • @johnnyappleseed9267
    @johnnyappleseed9267 8 ปีที่แล้ว

    I would not be able to survive without your videos! thanks for getting me through Calc 2 lol

  • @romyboy
    @romyboy 14 ปีที่แล้ว

    yeah same here too in the Philippines you are a LIVING HERO!!!
    before i'm thinking to how to pass the exam after watching lots of your video lessons now I'm thinking to how am my going to perfect the exam.
    tnx a lot patrick!!

  • @patrickjmt
    @patrickjmt  14 ปีที่แล้ว +1

    @magepurexx13 well, the why part is a bit harder to explain (it is has to do with continuity of functions). check out a calculus text book for this. and if you were taking my calculus 2 test, you could certainly do this.

  • @paulringab123
    @paulringab123 12 ปีที่แล้ว +1

    i love this feeling when everything just clears up for me :)
    Thanks again patrick!

  • @Patron007Murad111
    @Patron007Murad111 14 ปีที่แล้ว

    Im a math tutor, and i used this video to learn! THank yoU!

  • @EquestrianPride16
    @EquestrianPride16 12 ปีที่แล้ว

    thank you!! my precalc teacher just taught this TODAY and we have a test on it and a bunch of other stuff tomorrow. thank you for all the help! especially the tip about determining the degree of the letters on the numerator :) that was confusing me before

  • @upshutdown
    @upshutdown 14 ปีที่แล้ว

    Wow, well done...I am officially a fan. You explain exactly what students need to hear...crazy concept

  • @aqilafirdausi
    @aqilafirdausi 8 ปีที่แล้ว +48

    The constant, shouldnt it be
    B+4c+4d=3 ??

    • @ostdog9385
      @ostdog9385 8 ปีที่แล้ว +3

      Yes

    • @aqilafirdausi
      @aqilafirdausi 8 ปีที่แล้ว

      +Austin Dong thank u

    • @DarkLordAli95
      @DarkLordAli95 8 ปีที่แล้ว +15

      if you were watching on a computer you'd see that he put a notation :P
      it's about time that we can see those notations on phones too, eh? come on youtube...

    • @aaqibmiran
      @aaqibmiran 8 ปีที่แล้ว +2

      Aqila Firdausi yes it should

    • @kenzybeats9546
      @kenzybeats9546 7 ปีที่แล้ว

      Aqila Firdausi True

  • @TwistedLemniscate
    @TwistedLemniscate 14 ปีที่แล้ว

    I have the feeling that some people who watch these videos will make important contributions to mathematics someday with you being the one who unknowingly lead them to that direction.

  • @patrickjmt
    @patrickjmt  14 ปีที่แล้ว

    @avianbc glad the videos helped everyone : ) patrickjmt in every classroom! : )

  • @XIronCross
    @XIronCross 13 ปีที่แล้ว

    Omg dude, THANK YOU.
    You explain things so clearly, you save me sooo much time!

  • @kuroikageyoshi
    @kuroikageyoshi 13 ปีที่แล้ว

    You're handwriting is soooo nice, and the video is even better

  • @SlimeIguana
    @SlimeIguana 7 ปีที่แล้ว

    Thank you for making these videos, I've been having trouble learning all of the BC(calc 2) things from the book and all of your videos explain them really well and make it easy to do problems with these questions on them

  • @ClownDatWalk
    @ClownDatWalk 14 ปีที่แล้ว

    @patrickJMT I assume you to be very relaxed since this opportunity came up, and you're doing this with your interest and talent which does not seem like you're in pain of making videos. Maybe that is why your videos are filled with enthusiasm and able to help us more than any other youtuber can (at least that's what i think).

  • @OpCzar
    @OpCzar 11 ปีที่แล้ว +1

    I came here because I couldn't this topic on Khan Academy - did not disappoint.

  • @jagheterkaw
    @jagheterkaw 11 ปีที่แล้ว

    You got confused from all the zeros, so you put the constant terms, B+4C+4D, equal to zero aswell when it really should be equal to 3. Great job with the explaning though, really helped me alot!:)

  • @nishagopal94
    @nishagopal94 14 ปีที่แล้ว +1

    thank you for this!! I will definitely be recommending these videos to my classmates

  • @rafsanrahman7810
    @rafsanrahman7810 4 ปีที่แล้ว

    when nobody was there, patrick came in clutch

  • @mashrmbln
    @mashrmbln 11 ปีที่แล้ว

    EY PATRIC. THANKS HOMIE, I HAVE A SEMESTER TEST THIS SATURDAY AND I WAS FREAKING OUT CUZ I JUST COULDNT UNDERSTAND THIS NO MATTER HOW MY PEERS EXPLAINED. THIS' A BREAKTHROUGH FOR ME. THANK U

  • @salahdin911
    @salahdin911 15 ปีที่แล้ว

    this guy is the best, i can understand it so easily, thnx man, keep it up

  • @johanhoppers5419
    @johanhoppers5419 9 ปีที่แล้ว +3

    hey, i believe you missed the coefficient of the constant value on the last problem. it should be B + 4C + 4D = 3 not equal to zero as you put. You may have just overlooked it as it was a long problem. Thanks btw for all these videos, i've been using them for the past three years (from high school to college) for review. They're extremely helpful

    • @thisislorelai
      @thisislorelai 10 หลายเดือนก่อน

      Finally, the comment that I’ve been looking for. I was confused in that part and this comment cleared everything up. Thank you for pointing this out…😊

  • @STRK3R1234567
    @STRK3R1234567 11 ปีที่แล้ว

    I remember watching this video back in Calc II and thinking, I'll never need to know the long way of doing partial fractions! And here I am in, 2 semesters later in diff equ, coming back to the same to finish the rest of the video Haha. Cheers.

  • @ExplicitRange
    @ExplicitRange 6 ปีที่แล้ว

    wow im a uni student learning this for the first time and you made it so easy.....Thank you

  • @user-motivator
    @user-motivator 8 ปีที่แล้ว +8

    u r awesome man. u makes maths so easy..😇😄😇

  • @rodolfodumaliangiii7342
    @rodolfodumaliangiii7342 2 ปีที่แล้ว +1

    Why didn't you include =3 in the 4th equation? I think that is also what made me get different answers if I used the other equations.

  • @patrickjmt
    @patrickjmt  14 ปีที่แล้ว

    @shinomora thanks : ) i will keep doing what i do

  • @christianwalker7930
    @christianwalker7930 11 ปีที่แล้ว

    This 28 minute video taught me what my teacher tried to teach us in 3 days.

  • @achen94
    @achen94 12 ปีที่แล้ว

    thanks so much patrick! explained this way better than my calc 2 teacher!

  • @LulzInducer
    @LulzInducer 16 ปีที่แล้ว

    Thank you, my teacher can't teach, you're a life saver.

  • @SpnFan04
    @SpnFan04 13 ปีที่แล้ว

    you are a complete genius, thank you so much for the amazing explanation! Finally got a right answer after trying for hours on a similar question!

  • @vadimkoller6232
    @vadimkoller6232 11 ปีที่แล้ว

    thank you Patrick for all the video uploaded , helped me a lot to understand step by step all the mathematical methods used and explained thank you once again ,and you people don't get so concerned about one small mistake
    thanks

  • @cekkie9443
    @cekkie9443 5 ปีที่แล้ว

    A million thanks to you patickJMT

  • @safaeita
    @safaeita 11 ปีที่แล้ว

    thank you so much and you're so nice for apologizing the way you did, we should thank you; you did your best!

  • @adammwa94
    @adammwa94 12 ปีที่แล้ว +1

    YOU, SIR, ARE A B'GENIUS!!!

  • @Hashbrowniepie
    @Hashbrowniepie 13 ปีที่แล้ว

    Long time subscriber, first time commenting just to say keep up the good work man!

  • @AlvaroAPE
    @AlvaroAPE 12 ปีที่แล้ว

    dude...
    you have no idea the help you have provided me :)
    Im glad there is people like you....
    NO HOMO.... -_-

  • @karans93
    @karans93 12 ปีที่แล้ว

    patrick, you have the handwriting of an angel...

  • @bigsword33
    @bigsword33 14 ปีที่แล้ว

    Patrick! You dropped your dx's! Notation! Notation! (to mock math professors everywhere.)

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว

    @jay1wo yes, please check out the annotations and 10000 other comments on it first

  • @dheerajmalik3921
    @dheerajmalik3921 9 ปีที่แล้ว +6

    At 20:23 should not B+4C+4D=3 ? why equal to zero?

    • @alinomer6689
      @alinomer6689 9 ปีที่แล้ว

      I was wondering the same

    • @dheerajmalik3921
      @dheerajmalik3921 9 ปีที่แล้ว

      +Ali Nomer yeah..no one has answered from 11 hours.

    • @ikhigdadf
      @ikhigdadf 9 ปีที่แล้ว +2

      +dheeraj malik turn the annotations on, he left a note there already

    • @AJFes12
      @AJFes12 8 ปีที่แล้ว

      i too am confused. halp

    • @AJFes12
      @AJFes12 8 ปีที่แล้ว

      +ikhigdadf oh ok. im on mobile so i cant see it, but thanks anyway

  • @lawrencesibusiso741
    @lawrencesibusiso741 12 ปีที่แล้ว

    Pat, theres one thing I gada say ......everytime you start a vid, you always say " UMHH.. IN THIS VIDEO...!!"...... and that cracks me up, LOL! getting me in a good mood before some good mathematics! lolol!

  • @SvetlinAnkov
    @SvetlinAnkov 11 ปีที่แล้ว

    Very useful, thanks! It's just awesome the way you explain math problems, thanks 😊. Only thing, I really fell asleep on the second problem. 😃

  • @dragon12013
    @dragon12013 12 ปีที่แล้ว

    i never understood the equating the coefficient bits, now i do thanks a bunch!

  • @MERCURIALG7
    @MERCURIALG7 12 ปีที่แล้ว

    I'm crying of happiness when everything can be so clear. No homo.

  • @electriciansmate1987
    @electriciansmate1987 6 ปีที่แล้ว

    Even after I've graduated with my B.S.E.E. you're still helping me along on my FE exam. Thank you!

  • @armand745
    @armand745 15 ปีที่แล้ว

    Patrick: Thanks for all this videos they really help me to understand my math class. Thanks for the note pointing the mistake. Can you do the same in the video on your website? Again thanks.

  • @MovieTrim
    @MovieTrim 11 ปีที่แล้ว +10

    I'm sick of the six pack shortcuts ads. Though it's fine. It's worth it.

  • @rengarmatira7235
    @rengarmatira7235 9 ปีที่แล้ว +1

    wait shouldnt be the equation of the constantheequal to 3? not zero? at 19:35

  • @ericle1236
    @ericle1236 5 ปีที่แล้ว

    patrickJMT is a godsend

  • @georusso
    @georusso 7 ปีที่แล้ว

    When you get to the part where you have all the equations listed out couldn't you use liner algebra to solve for the unknowns using row echelon form? At 20:11

  • @stonepanganiban301
    @stonepanganiban301 9 ปีที่แล้ว +25

    I'm so screwed. Can't follow up. It's easy to understand while watching but damn, this would be a pain in the ass while solving it alone. T.T

    • @cristianomessi3449
      @cristianomessi3449 9 ปีที่แล้ว +4

      If you believe in your self you can do it, practice alot and be confident.. remember practice makes perfect

    • @stonepanganiban301
      @stonepanganiban301 9 ปีที่แล้ว +2

      Thanks, man. I fought a good battle. I focused on these questions and ignored the other questions on the test because YOLO and I want to prove something to myself.

    • @cristianomessi3449
      @cristianomessi3449 9 ปีที่แล้ว

      Stone Panganiban thank you to you, that is exactly what I did, great minds think alike.. YOLO

    • @stonepanganiban301
      @stonepanganiban301 9 ปีที่แล้ว

      Yeah!

  • @johnnyb5231
    @johnnyb5231 8 ปีที่แล้ว

    Love your videos man. Such a huge help as I'm taking Calc 2 this summer.

  • @FuzzyCat79
    @FuzzyCat79 14 ปีที่แล้ว

    Thank you thank you thank you. Can you make 'Patrick is my Hero" t-shirts so I can wear them to calculus class? it would give me good math vibes.

  • @PoppaChullo929
    @PoppaChullo929 9 ปีที่แล้ว +46

    A= -6/25, B= -9/25, C=6/25, D=3/5
    are these values correct?

    • @mayabedoinstuff
      @mayabedoinstuff 9 ปีที่แล้ว +7

      Garrett Munson I got those exact same values

    • @mahmoud803
      @mahmoud803 8 ปีที่แล้ว +4

      +Garrett Munson Same

    • @younessibnabbou8130
      @younessibnabbou8130 8 ปีที่แล้ว +3

      yeep

    • @aghyad5185
      @aghyad5185 5 ปีที่แล้ว +1

      An answer from the future says: that’s correct

    • @kristopherpoulin4619
      @kristopherpoulin4619 5 ปีที่แล้ว +1

      I set it up in a matrix and solved for A and B the big brain way, these are the same answers I got, cheers!

  • @daminh26
    @daminh26 12 ปีที่แล้ว

    Finals are here and you are saving my assssss, in PreCal. Your Videos are way better and more comprehensive than that other Guy..AKA SAL from the Academy. Plus his voice is kinda creepy. Thanks a million I learn more from you then in class.

  • @thevegg3275
    @thevegg3275 4 ปีที่แล้ว

    At 19:45 you equated to 0. Why not =3? There exists a constant so shouldnt you equate it to whatever constant exists? Thx

  • @BerserkerSlayer042
    @BerserkerSlayer042 12 ปีที่แล้ว

    In the future could you please put in the description links to the "course" of videos we should watch to learn new materials?? i.e. links to introduction of partial fractions through links to the hardest example problems? sometimes I'm not sure which order to watch the videos!
    thanks for all your help!!!!

  • @nkatekomuyimane2530
    @nkatekomuyimane2530 7 ปีที่แล้ว

    you deserve a grammy!

  • @B.A.Gondal
    @B.A.Gondal 11 ปีที่แล้ว +1

    YUCK!!! Calc 2 midterm on Integration by parts,Partial fractions, Trig integrals, Trig Substitution, Trapezoidal rule, and Improper integrals in 1 hour.....and yuck is only for partial fractions :P seriously, so tedious...........Thanks man...ur videos r greattttt.......

  • @pyakurel123
    @pyakurel123 12 ปีที่แล้ว

    My name is sergio sanchez .. and I am a mormom.. I am loving the adds on your videos ..LOL

  • @starboy9
    @starboy9 5 ปีที่แล้ว +4

    I had never laughed so hard in my life

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว

    @littlekathx happy to help : )

  • @rhysgriffiths2147
    @rhysgriffiths2147 7 ปีที่แล้ว

    Thanks for making such easy to understand content!

  • @dzhao4n
    @dzhao4n 11 ปีที่แล้ว

    THANK GOD FOR YOUR VIDEOS, NO, THANK YOU FOR YOUR VIDEOS!!!. AND JUST TO LET YOU KNOW THESE CAPS ARE MADE BY HOLDING DOWN SHIFT, NOT CAPS LOCK.

  • @MrDecatopectenplica
    @MrDecatopectenplica 14 ปีที่แล้ว

    thank you man you make it look so easy

  • @DashofDosh
    @DashofDosh 14 ปีที่แล้ว

    I can't thank you enough, Patrick!

  • @j0nas5
    @j0nas5 9 ปีที่แล้ว

    Thank you for your existence and thank you for making this video!

  • @fiessehabh1
    @fiessehabh1 16 ปีที่แล้ว

    Thank you for your help you are great in evreysense of it.
    My remark is on the constant part 3 might have been omited?

  • @patrickjmt
    @patrickjmt  14 ปีที่แล้ว

    @xjustsweet biggest geek ever award for me!