Parametric Equations Introduction, Eliminating The Paremeter t, Graphing Plane Curves, Precalculus

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  • Опубликовано: 3 дек 2024

Комментарии • 428

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +20

    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
    Next Video: ruclips.net/video/pxh__ugRKz8/видео.html
    Derivatives of Parametric Functions: ruclips.net/video/kf2dZWqLnqE/видео.html

    • @craig7878
      @craig7878 Год назад +1

      You got a begineer video explaining what paramatization even is? Im in calc and they getting us to do these questions relationed to finding a line and a slope using t as a parameter. I've literally never learnt anything about parametric or paramatization before so yeah.

  • @juijitsu_queen1193
    @juijitsu_queen1193 2 года назад +470

    You’ve got me through cal1,cal2,DE, and now cal 3. Thank you so much sir. Doing the lords work

    • @crow1628
      @crow1628 2 года назад +1

      DE! Oh no haha

    • @mistadude
      @mistadude 2 года назад +1

      @@crow1628 does he have de videos too?

    • @cr7neymar908
      @cr7neymar908 Год назад +5

      im on the same journey, so far he has gotten me through algebra,pre calc, and trig. hopefully within a year from now ill be done with calc 3

    • @ibidknight
      @ibidknight Год назад

      Yup, personally he helped me get through Precalc, Mechanics, Diff. Calc, and Integral Calc.; I will probably use his videos to teach myself for Electromagnetics and Vector Calc./Linear Algebra as well

    • @evodia-9
      @evodia-9 Год назад

      hhayi wwena where does lord come in now?

  • @katiem.6135
    @katiem.6135 4 года назад +327

    Man I don't even do math but this guy's voice is so relaxing.

    • @ahmedalmahi8918
      @ahmedalmahi8918 3 года назад +8

      Frr no homo tho

    • @prometheustv6558
      @prometheustv6558 3 года назад +3

      Like Bob Ross

    • @Hoppitot
      @Hoppitot 3 года назад +8

      Fuck you, the only way you are allowed to listen to this guy is if you suffer with the rest of us XD

    • @mauro-baumann
      @mauro-baumann 3 года назад +1

      Sounds like Macklemore smh

  • @TechnoCheezit
    @TechnoCheezit 6 лет назад +2867

    This is helpful af, but I'm still about to fail this cal 2 exam. Pour one out for me bois.

    • @PepsimVideos
      @PepsimVideos 6 лет назад +299

      If you tell yourself you're going to inevitably fail an exam it's because you either didn't study enough or you don't have confidence in yourself, gotta believe in yourself and put in the work bro

    • @abbaszaidi2615
      @abbaszaidi2615 6 лет назад +50

      @@PepsimVideos true I mean studies(from my psych class, sorry no source yet) show, if you say your going to fail, you will be at least 2* more likely to fail

    • @bruh...1543
      @bruh...1543 5 лет назад +36

      im in the same sinking boat 9 months later, feels bad man

    • @sashasoule4585
      @sashasoule4585 5 лет назад +28

      It’s poured my bro.

    • @raulsanchez8460
      @raulsanchez8460 5 лет назад +1

      so did you failedededed?

  • @hehelloworld123
    @hehelloworld123 5 лет назад +377

    These types of videos with tutoring always have the most positive comments sections its crazy!

    • @yashrawat5494
      @yashrawat5494 5 лет назад +4

      hehelloworld123 not always lol

    • @henri1_96
      @henri1_96 4 года назад

      @@yashrawat5494 screw you hippies! >:(

    • @1Timstuff
      @1Timstuff 4 года назад +15

      Bro , this teacher is SAVAGE , he doesnt deserve a single bad word

    • @jamesdanner9854
      @jamesdanner9854 4 года назад +22

      Well, it's probably full of caffeinated highschoolers doing h.w. at 2 a.m.

    • @randombossgamer1175
      @randombossgamer1175 4 года назад +3

      @@jamesdanner9854 Lmaoo, that may or may not be me right now

  • @emilyzempel9724
    @emilyzempel9724 2 года назад +151

    In other lectures there is usually a lot of assumed knowledge involved. Which makes sense since this is not low level math, but for someone like me who struggles with adding fractions but is in precalc your videos somehow make it all make sense. It is like MAGIC. Your videos almost always answer every question I have lingering before I have to google or mathway. I am so excited to be understanding math for the first time in my life, its EUPHORIC. Thank you times a million, yeehaw

    • @ultimatekenz
      @ultimatekenz Год назад +5

      you struggle with adding fractions in pre-calc? hoe fdid you get this far lol that's crazy. Also there is in now way THIS is in pre-calc, is that what you're saying?

    • @nicob3088
      @nicob3088 Год назад

      @@ultimatekenz low iq

    • @av1155G
      @av1155G Год назад +1

      @@ultimatekenz I have this in pre-calc 2

    • @lawson2398
      @lawson2398 Год назад +1

      @@ultimatekenzI have this in precalc 1 as in a sophomore in high school

    • @ianfuhr238
      @ianfuhr238 8 месяцев назад +1

      @@ultimatekenzi know ppl in calculus who couldn’t handle fractions to save their lives

  • @thedumbconspirator4956
    @thedumbconspirator4956 3 года назад +73

    Learned everything I needed to know about parametric curves within the first 10 minutes. My professor has been teaching this subject for a week now and we had a quiz on it, the class average was about a 70ish percent, I got a 94 and before I watched this video I barely know anything about this, had I not watched this as I was frantically studying before the quiz, I would have guaranteed failed it. Thank you so much.

  • @helixgaming352
    @helixgaming352 4 года назад +43

    Bro, you are actually the smartest person alive. Wtf. You have so many videos on so many different topics and they are all taught so well. I wish you were my teacher lol

    • @shdyo
      @shdyo 5 месяцев назад

      Bro, he is our teacher ^^

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    @brownpolyestershirt4701 5 лет назад +74

    Have I told you lately that I love you? You save me all the time. Many thanks once again.

  • @linzhang2247
    @linzhang2247 3 года назад +48

    I like how he provides a lot of examples to practice and explain. It really helps.

  • @seanscott1308
    @seanscott1308 5 лет назад +40

    I missed a class and we just started to cover this. With this I feel more confident once I go back so thank you!

  • @georgesadler7830
    @georgesadler7830 2 года назад +17

    Professor Organic Chemistry Tutor, thank you for a positive introduction to Parametric Equations. This is a well-known process of eliminating t in order to get y in terms of x. This material is introduced again in Calculus II and Calculus III. This is an error free video/lecture on RUclips TV with the Organic Chemistry Tutor.

  • @yiminzeng683
    @yiminzeng683 6 лет назад +10

    First day of school and understand nothing about parametric....Thank you!! It really helped!!

  • @nikhilsingh5863
    @nikhilsingh5863 7 лет назад +50

    This was straightforward and clear. Thank you so much!

  • @nicoldesireemaeso5490
    @nicoldesireemaeso5490 5 лет назад +19

    The best math channel everrrr

  • @coldwares
    @coldwares 3 года назад +5

    You explained in 30 mins what takes me days to figure out. Thanks a bunch fam.

  • @michaelhearnes5977
    @michaelhearnes5977 5 лет назад +294

    Nobody:
    Me right before my exam:
    30 minute video I only got 20 minutes

  • @mordom153
    @mordom153 5 лет назад +679

    Who came here cuz you didn't understand a single word spoken by the teacher during the lecture?

    • @freecake1
      @freecake1 5 лет назад +14

      my online coursework is doing a crap job at teaching these things. i learn by understanding what it is and why first not a series of IF/THEN statements to memorize... sucks because conceptually i thought this would be easy to learn. but the programs teaching methodology is so inefficient and backward im often having to do what i did BEFORE coming to school which was to scrape together an understanding through free content. maybe this online format just isnt for me, maybe its just a bad version being used. it would be alright if it was more thorough but personally, Im thinking just need a professor i can get clarification from as concepts are being introduced. I wish you all luck with your coursework friend!

    • @mordom153
      @mordom153 5 лет назад +4

      @@freecake1 cheers mate

    • @goochg2497
      @goochg2497 4 года назад +3

      i come here because i dont go to the lectures lol

    • @dildobaggins2759
      @dildobaggins2759 3 года назад +3

      some teachers make it so complicated like seriously not that complicated...?

    • @xornedge8204
      @xornedge8204 3 года назад

      Well

  • @cansomer6433
    @cansomer6433 4 года назад +66

    Percentage of the content this man makes is like one percent about organic chemistry shfuiuisdifsdgvuivd.

    • @ousali1340
      @ousali1340 3 года назад

      He teaches math,physics,organic chemistry,general chemistry,biology

  • @evs7209
    @evs7209 3 года назад +1

    My calc teacher has just been uploading videos for this semester because covid, but I just found out about this channel from a friend and wow this is so much better. Hopefully I can pass this next exam

  • @Pugatron
    @Pugatron Год назад +5

    You’ve helped me through Calc, Calc2, Calc3, Calc4, Calc5, Calc6, and Calc7!!! Not even gonna mention DE 1-12!!! Thank you sooooo much I appreciate it ❤️

    • @cr7neymar908
      @cr7neymar908 Год назад +3

      im almost done with trig now but hopefully he helps me through calc 1-3 and physics 1-2 lol

    • @spagootest2185
      @spagootest2185 Год назад +1

      calc 7 💀💀💀

    • @bravcoder
      @bravcoder 3 месяца назад +2

      bro what are calc4 and onwards. Are those in the imaginary plane or sum

    • @SamAccountLink
      @SamAccountLink 11 дней назад

      Wth is calc 4, 5, 6, and 7

  • @aminfadayi4694
    @aminfadayi4694 2 года назад

    Man this guy has the most calming voice and he blesses us with this great videos, idk who u r but thanks a lot!

  • @nightfallcat
    @nightfallcat 5 лет назад +85

    At 2:48 on the graph, isn't it t=-2 for the leftmost point? rather than t=0?

    • @samr405
      @samr405 5 лет назад +10

      Riiight? Thank you. I'm not crazy.

    • @pjk7685
      @pjk7685 5 лет назад +21

      I think his brain was on autopilot mode and he just started at zero instead of -2

    • @luisbolanos8393
      @luisbolanos8393 4 года назад +4

      i also thought that

    • @pridetrooperjiren548
      @pridetrooperjiren548 3 года назад +2

      Sorry. I know I'm late but it should be t = -1 at point (1,1), t = 0 at point (2,0) and so on???

    • @Soilderith
      @Soilderith 3 года назад +3

      @@pridetrooperjiren548 yes, that's what they mean

  • @hamzamohamoud1831
    @hamzamohamoud1831 2 года назад

    We're just grateful. Every college student relies on you when their cal exam is like tomorrow!

  • @tortillajoe
    @tortillajoe 5 лет назад +10

    I had a test where I had to convert a parametric equation to a rectangular and I didn’t know how. I swear to god I guessed and did exactly this.

  • @KrishVashist-gn7il
    @KrishVashist-gn7il Год назад +1

    How on earth do you make your videos so helpful.
    Like REALLY

  • @sagecoyote7757
    @sagecoyote7757 2 года назад +1

    Probably the most loved creator on youtube

  • @scrimsongaming3450
    @scrimsongaming3450 7 лет назад +60

    THANK YOU MATH JESUS!

  • @HA-mz8zs
    @HA-mz8zs 4 года назад +1

    you are a gift to humanity

  • @mwariluke1340
    @mwariluke1340 10 месяцев назад +3

    I am watching this 2 months to my exam.. I will do well😌

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    @jasonfortress9027 4 года назад +7

    Almost everyone in my university uses your videos

  • @thatoseluku4276
    @thatoseluku4276 3 года назад +3

    Thank yoooou! Writing my final on Friday, wish me luck!

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    @bezaaddis1758 6 лет назад +7

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  • @Shinobisen
    @Shinobisen 5 лет назад +6

    Thank You 😁 I passed my exams in Calculus

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    @xy769 5 лет назад +3

    this guy can teach anything

  • @fatinnadiah7760
    @fatinnadiah7760 Месяц назад

    youve been teaching me since i was in high school, im currently doing my first degree year, thank you !

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    @heyysan9860 2 года назад +1

    The day I finish school and land my first job I’m sending a big donation to this channel iA 🤲🏼

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    @jgc9199 6 лет назад +4

    This channel always comes in clutch for review👍👍

  • @nasupanda
    @nasupanda 8 месяцев назад

    Great video, thanks! This is so helpful, sir.
    A little thought on the problem around 25:00:
    x=2^t, y=2^-t. To eliminate the t, we can just say xy=1, and hence, y=1/x.
    2^t*2^-t=2^(t-t)=1. So, xy becomes 1. Since both 2^t and 2^-t are not equal to zero, we can divide xy by x, and we get y=1/x.

  • @gretelrodriguez1842
    @gretelrodriguez1842 6 лет назад +6

    thank you so much! You do the world an incredible service.

  • @rimjhim4160
    @rimjhim4160 Год назад

    I was really struggling to find a proper lecture on this topic!! Thank you so much !! It was really really helpful!

    • @oopsimisstapped1383
      @oopsimisstapped1383 Год назад

      If I’m ever struggling I look for his videos. Never fail to help

  • @maggiew6943
    @maggiew6943 6 месяцев назад

    best teacher ever 10000%%%. plz put more ads in your vids bc you deserve more and I'd watch any amount so you can get more of that chaching

  • @christophertran9669
    @christophertran9669 3 года назад +1

    bless your soul you have saved me too many times

  • @elliem.9408
    @elliem.9408 3 года назад +4

    You are literally an educational hero. *Thank you* 🙏

  • @leylakulieva4584
    @leylakulieva4584 6 месяцев назад +2

    at 27:57, there was a simpler way to get y=1/x. like y=2^-t the it also equals to y=1/2^t right, then we replace 2^t with x. we got the y=1/x

  • @Eng586
    @Eng586 7 месяцев назад +2

    Graphing 0:10
    Eliminating parameter 6:10

  • @rohanphilip5748
    @rohanphilip5748 2 года назад +6

    at 5:55 t= 4 not 2 on the uppermost coordinate

  • @sasinmo
    @sasinmo 5 лет назад +66

    How you going to tell me to pause and do it but then change the whole question 3 seconds after?

  • @zoesteele6745
    @zoesteele6745 2 года назад +13

    Who all is here before a cal 2 exam?

  • @devaorios5793
    @devaorios5793 2 года назад +1

    The organic chemistry tutor guys!

  • @John-lf3xf
    @John-lf3xf 6 лет назад +15

    You need to start by defining what a parametric equation IS, why it IS neccessary(if it is so), why and how it came into being. That is an excellent pedagogic method.

    • @sam2026
      @sam2026 5 лет назад +3

      John Landon Miller this isn't his first video on the subject

  • @akidanis6984
    @akidanis6984 2 года назад

    omgg ty som much helped me a lot. I was puzzled by the "Eliminating The Paremeter" part but now i know what it means!

  • @dildobaggins2759
    @dildobaggins2759 3 года назад +2

    Quick question with the change in base what is the point of changing the Natural log to log if we get the same answer even if we use the natural log?

  • @joyannb6601
    @joyannb6601 4 года назад +1

    Great work...years old but still very helpful.

  • @cattus2517
    @cattus2517 3 года назад +3

    i literally learn more in your videos than in my college

  • @CoolFunStuff255
    @CoolFunStuff255 Год назад

    I love you man 😂❤🫡😭May all the wonderful things in the world gravitate to you ❤😭you are literally saving my life right now 😢

  • @samiratamma
    @samiratamma 5 лет назад +10

    I have a question.... at 2:35-2:44, they said t=0, 1, 2, 3, and 4. wouldn't that be the x values? Isn't t=-2,-1,0,1 and 2? And besides, if t=[0,4] then wouldn't that cross the domain or something?

    • @pfeliciano4062
      @pfeliciano4062 5 лет назад +1

      Samira Tamma yeah he made a mistake. The t value correspond to the coordinates and you choose the direction of lowest to highest from the values where t are

    • @abdullokhmukhammadjonob3891
      @abdullokhmukhammadjonob3891 4 года назад

      You are right

    • @castlecallahan1769
      @castlecallahan1769 2 года назад

      I was wondering this same thing. I think he made a mistake?

  • @christianramos7200
    @christianramos7200 6 лет назад +9

    What software do you use to write like a board, bro?
    Thank you so much!!

  • @TheGamingMidget123
    @TheGamingMidget123 4 года назад

    You are the reason that I got an A on my midterm

  • @sbusisobless1
    @sbusisobless1 2 года назад

    I am here again. Thank you for this video.

  • @hamsangasim5543
    @hamsangasim5543 2 года назад

    BRO YOU're a legend

  • @berislavpavlovic6088
    @berislavpavlovic6088 5 месяцев назад +2

    I believe there is a mistake at 2:54, because t-values were -2, -1, 0, 1 and 2. On the graph he started with values 0,1,2,3,4. Am I wrong?

    • @goodboiadvsp3297
      @goodboiadvsp3297 Месяц назад

      You are right, but it doesn't affect how the graph looks and the directionality. The t values should be from -2 to 2 though

  • @tofiqeadam8903
    @tofiqeadam8903 4 года назад

    You make my life a lot easier

  • @Dignified245
    @Dignified245 3 года назад +1

    Bro you're a god.

  • @vaiterius
    @vaiterius 3 года назад +1

    gonna take my calc 2 final tomorrow, wish me luck guys

  • @Mr.Coconut007
    @Mr.Coconut007 2 года назад +1

    at 2:59 did you mean to put t=-2,-1,0,1 and 2 instead of t=0,1,2,3 and 4

  • @pfeliciano4062
    @pfeliciano4062 5 лет назад +1

    So do you eliminate the parameters only when you have no restrictions?

  • @om_1332
    @om_1332 3 года назад

    I loved the circle example.

  • @maheenkashish4827
    @maheenkashish4827 3 года назад +1

    Amazing explanation ❤

  • @YeeXuan-e1g
    @YeeXuan-e1g Год назад +1

    2:35 hi can anyone explain to me y he wrote (in green) the r values starting from 0? Because I thought that the points of y he used to plot the graph was from -2 to 2?

    • @YoungMan-uu4ro
      @YoungMan-uu4ro Год назад

      He labeled them in order from top to bottom starting at 0 not based on what t actually is , your correct tho, the reason he’s labeling them like that is because he’s tryna show which way the arrows are going but it just makes it more confusing in my opinion you don’t need to label yours when you do them 😅.

  • @princessmalobola8378
    @princessmalobola8378 4 года назад +2

    Hello.
    May I ask why, specifically, the trig ID was used, at 11:40? I am lost at this point.

    • @aaryamanmummadavarapu7120
      @aaryamanmummadavarapu7120 4 года назад +1

      maybe a little late but that is because you are trying to get rid of the sin and cos so you set the parametric equations equal to sin and equal to cos then you can use the identity to solve to find the x and y equation.

  • @glassunicorn4583
    @glassunicorn4583 6 лет назад +1

    God bless these videos

  • @ahmetkarakartal9563
    @ahmetkarakartal9563 4 года назад +12

    15:02 an ambulance went somewhere, I hope that guy is fine

    • @Lagrang1an
      @Lagrang1an 4 года назад

      dersteyken dikkatim ektedir

    • @Sai1ence
      @Sai1ence 4 года назад +2

      There's often noises in the background of his videos like ambulances, cars, motorcycles, sometimes even birds chirping! I know this because I've watched like over 600 videos of his. He's a good tutor.

    • @Lagrang1an
      @Lagrang1an 4 года назад

      @@Sai1ence agree with that

  • @moniem4688
    @moniem4688 11 месяцев назад

    🇪🇬Greetings to you from Egypt

  • @oooo0O0oooo
    @oooo0O0oooo 2 года назад

    Thank you very much sir

  • @CowWow
    @CowWow 3 года назад +4

    i was actually happy i was understanding it until i made it to the second half of the video

  • @wheiyan5032
    @wheiyan5032 5 лет назад +2

    this is very helpful, now i understand the lesson more. thank you for thiss

  • @pfeliciano4062
    @pfeliciano4062 5 лет назад +1

    Your kids are going to be just like you!! Awe

  • @tylersommer1
    @tylersommer1 2 года назад

    this was so helpful, thank you sir

  • @alambanda1740
    @alambanda1740 4 года назад

    A nice teaching.i appreciate

  • @dancingdoungnut
    @dancingdoungnut 3 года назад +1

    lol 13:23 he changes x = 3sint to x = 2sint. Loved the video btw it helped a lot.
    nvm i got to where he fixed it lol

  • @RoboticsDevelopment
    @RoboticsDevelopment 4 года назад +1

    "This PreCalculus video", Yeah you better know it forwards and back because in Calculus 2 you will be expected to already know this. Many students are underprepared. PreCalc, can only focus on so much. So some students are here studying it in PreCalc, another majority in Calc 2 wondering where the heck it came from :D

  • @ah.a2466
    @ah.a2466 3 месяца назад +1

    32:11 Shouldn't there be an absolute value?

  • @kamogelowelcome5380
    @kamogelowelcome5380 3 года назад

    do you have a Q$A session for homeworks?

  • @jakiamoshtaq
    @jakiamoshtaq 2 года назад

    Thank youu soo much. It was so helpful..❤️

  • @captain_ali_01
    @captain_ali_01 2 года назад +1

    At 10:25 and even before this, his t values aren't corresponding with the points he plotted.. t = 0, 1, 4, 9 but he uses t = 0, 1, 2.
    I don't get it.

  • @sasinmo
    @sasinmo 5 лет назад

    25:40 Why do you find that y=1/x when in the end you can not do that and just make the table and get the same graph?

  • @itsme-nq1st
    @itsme-nq1st 8 месяцев назад +54

    I'm cooked bro

  • @TheIgnoredGender
    @TheIgnoredGender 5 лет назад +1

    Why not just do log base 2 on both sides right from the start? Why use the natural log then use change of base formula?

  • @TamerAlhamra-v6p
    @TamerAlhamra-v6p 10 дней назад +1

    whats he using to type and draw?

  • @Refuse2Lose33
    @Refuse2Lose33 4 года назад

    thanks bro, my head was about to explode 🤯

  • @Toucanyou
    @Toucanyou 4 года назад +2

    Helpful video, but I wish you would've done some examples with cos and sin where the numeral was on the t instead of in front of the trig variable (ex. cos(1/2(t)). Not really sure how to deal with this.

  • @CreatingCreations
    @CreatingCreations 3 года назад +1

    Gotta get a 78 on my final in two days to pass calc 2. (fingers crossed)

  • @sagniksaha7359
    @sagniksaha7359 6 лет назад +2

    In the x=2^t problem, couldn't we just multiply x and y to get xy=1 and then graph it? Looks much simpler to me....

  • @mehadihasansanto538
    @mehadihasansanto538 3 года назад

    Superb stuff! Keep it up!

  • @Modi_M4
    @Modi_M4 6 лет назад +2

    Thank you❤️❤️❤️❤️❤️❤️

  • @skaito
    @skaito Год назад +1

    13:06 x=3sin(t) is changed to x=2sin(t)
    nvm he caught it, i should have just watched a little bit further

  • @tushargupta2750
    @tushargupta2750 6 лет назад +6

    3sint = x

  • @jacobr9623
    @jacobr9623 Год назад

    mad helpful thank u brotha

  • @ARMY-mi8rs
    @ARMY-mi8rs 5 лет назад +1

    Thank you 😭♥️