Conic Sections - Circles, Ellipses, Parabolas, Hyperbola - How To Graph & Write In Standard Form

[@TheOrganicChemistryTutor]

Conic Sections - Free Formula Sheet: bit.ly/4fyZTWA Ellipses Mega Review: kzbin.info/www/bejne/lXPYhoCHdquKo6s Hyperbolas Full Review: kzbin.info/www/bejne/l3PIlaGsdpylibs Parabolas Full Review: kzbin.info/www/bejne/bZWrY2eNqNp6qa8 Conic Sections Quiz: kzbin.info/www/bejne/rKK9gJJ5p6qXhtU

[@cheesecheesecheese12345]

Thanks man!

[@siachin]

You're so cool! :D

[@susanseverance5999]

I am a 74 year old former high school mathematics teacher, trying to relearn all of the mathematics (calculus) that I have forgotten since I graduated from college 52 years ago. Your videos help me so much! Thank you, thank you, thank you!!

[@jahzielperalta484]

I taught only students forget lessons XD I feel hope somehow, goodluck on your study sir

[@stevenstrange3078]

dude you are done with most of your life, enjoy it instead of mathing around

[@susanseverance5999]

@@stevenstrange3078 "mathing around" is one of the things I love to do. Math is hard for me but I love working to understand.

[@big-pp8582]

@@stevenstrange3078 that’s kinda rude lol

[@kesavdarshan]

Still you teach???

[@redgefleming1535]

0:00 circle 3:54 ellipse 23:24 hyperbola 38:30 parabola 58:29 How to tell them apart 1:10:13 Recap

[@Happy_Fun_Ball]

redge fleming thank you so much dude!

[@shaanmughal9801]

thanks redge :)

[@gopikrishnan3976]

The best comment!!:)

[@lu.thewriter]

Thank you!

[@hannahbradley2769]

Thanks my dude!

[@johnh7427]

I wish that my teachers had explained these concepts this well. I am 66 years old and re-studying math to help my grandkids through high school. The clarity of your voice and the pace of your speaking are much better that the speakers in other videos I tried to watch, and the thoroughness of your examples are right on target.

[@lrn_421]

Aww

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I am a Zambian student from the University of Zambia. Because of your beautiful,wonderful and helpful videos i cleared math at my first year with a good grade and am now in my second year of study. moreover the name ORGANIC TUTOR does not much how knowledgeable and courageous you are. you deserve to be more than a tutor. i personally cam call you THE GREAT MATHEMATICS PROFESSOR. Thank you very much my math prof.

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[@surgere1980]

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Ill tell you what dogs taste like if you tell me what zebras taste like

[@Yourstrulyfable]

Bro's probably graduated now?

[@nouraalbraiki9866]

I usually don't comment on KZbin videos, but i really feel the need to comment on this one... Thank you so much for putting this video up, I honestly don't know how I could've understood anything about conics without this video. People who have difficulty in maths (like me) REALLY appreciate this. Keep it up!

[@deborafuentes4033]

Noura Albraiki x2 amazing video! It helped me so much!

[@sujitsharma5158]

@@deborafuentes4033# me too😀

[@cyrust.worquea9785]

Ooh yes...this video gives a much more insight especially when operating conic sections.

[@jerasong2196]

Dear Organic Chemistry Teacher and other people out there I think the third example is very wrong! If you see the negative sign was on the y side (right side) so it would be wrong to assume that the graph is -x^2=y. Also when solving for the foci shouldn't it have been 7/2 because 3-(-1/2) = 7/2 but the video showed 5/2 but I can also see that if the foci is 7/2 the whole graph would be very wrong. Let me also add that the solution for the directrix is also wrong! 3+(-1/2)=5/2 not 7/2 Please help me!!

[@mwangomulenga560]

When finding the y intercept it is 189 and not 289 on the ellipse.you are doing a great job ☺️

[@philippeboursiquot2209]

You're a life saver for many college students. We love you!

[@timidsore7933]

@Canol Onar it continues through college if your course involves some maths

[@jerasong2196]

Dear Organic Chemistry Teacher and other people out there I think the third example is very wrong! If you see the negative sign was on the y side (right side) so it would be wrong to assume that the graph is -x^2=y. Also when solving for the foci shouldn't it have been 7/2 because 3-(-1/2) = 7/2 but the video showed 5/2 but I can also see that if the foci is 7/2 the whole graph would be very wrong. Let me also add that the solution for the directrix is also wrong! 3+(-1/2)=5/2 not 7/2 Please help me!!

[@nuhaminhabtamu5698]

Wait what... Am learning this in grade 11😳

[@steviebaker2544]

Y’all are in college 😰 I’m in fkin highschool why do i have to do it now

[@sumitraturi7791]

@@steviebaker2544 life happens suck it up dude

[@sweetmelordy176]

he explains everything politely..softly.. organic chemistry tutor..Genius...💯💯💯❤❤love your work man

[@jerasong2196]

Dear Organic Chemistry Teacher and other people out there I think the third example is very wrong! If you see the negative sign was on the y side (right side) so it would be wrong to assume that the graph is -x^2=y. Also when solving for the foci shouldn't it have been 7/2 because 3-(-1/2) = 7/2 but the video showed 5/2 but I can also see that if the foci is 7/2 the whole graph would be very wrong. Let me also add that the solution for the directrix is also wrong! 3+(-1/2)=5/2 not 7/2 Please help me!!

[@syndrac6254]

15 hours of classes in 1 hour and 19 minutes. Amazing.

[@zachh6868]

College should be free, not because of socialism, because of this guy. I'm literally just paying a ton of money for someone to grade my assignments while he fails at teaching me and I learn from this guy for free. I'm basically paying for a degree, and learning from KZbin.

[@gemlameraforro9664]

A huge respect and thumbs up to this guy who made a compilation of all the conic sections and teaching all the required knowledge of what the viewers wanted.

[@helenbeza5343]

You're very good at explaining this stuff. One hour of examples, explained by you is much much easier and effective than 5 hours of sitting in a classroom. Thanks! you made my life so much easier!!

[@selestye1571]

0:00 Circle 3:54 Ellipse 23:24 Hyperbola 38:30 Parabola 59:22 General to Standard Form 1:10:22 Review -Circle: 1:10:25 -Ellipse 1:11:05 -Hyperbola 1:13:40 -Parabola 1:16:21

[@evanb_7127]

Thank you Andre, you’re a saint

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Thank u so much!!

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thanks!!

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Thank you!

[@hannahardner9899]

I'm taking Calc II after taking Calc I 7 years ago. Unlike some people, I did not retain any of Calc I. You explain everything so well, and you make it possible for me to not just get by, but excel in this class. Thank you so much for taking the time to make such clear, easy to follow videos. I have probably watched every single one of your Calculus videos. You rock!

[@tcistrash9911]

you made graphing ellipses easier than what our teacher taught us. She gave all these different formulas about finding the major and minor vertices. Thank you so much for making this video, this is such a big help for students that come across your channel in times of need!

[@leagueof1vs178]

I cant understand Physics, oh I'm gonna watch TOCT ;), I can't understand Math, oh I'm here Such a great Man

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So true, because of him I"m able to study in advance. Back then, I had no interest in studying in advance because I couldn't understand it anyway, but thanks to his videos, I'm actually excelling in my math and physics class.

[@kennethong360]

conic sections are hard and my pre-calculus teacher is making it harder THANK YOU for legit being my only reliable source of data when it comes to math I Love you.

[@axelfrazier6895]

Great video thank you so much for taking the time. You were a huge help. I even learned enough to be able to spot a nonobtrusive yet substantial error in your dispersed calculations at 22:44. What you ment was 225 - 36 = 189, props on the mental math my the way. Thanks again!

[@IsaacAwad.04]

thanks i thought i did something wrong hahah but still simple mistake the video again is greatttt

[@judeiadegulacion5256]

i was about to comment the same thing. I thought i made a mistake on my solution. 🤦‍♀️

[@ThanhTran-tq6vf]

AD: "What? still searching for math help? Are the videos from 2006 really helpful?" Me: Yes, yes they are :">>

[@daiwikdhar6464]

Ummm, Well this one's from 2016 But still Super useful!!

[@mushyomens6885]

@@nathan4648 I have seen many people making comments like these ( from 2006, bla bla) but I still don't get it. What's BAD? And as you describe, 10 years before AD, won't that make it 2026 by definition??

[@stormichow5325]

@@mushyomens6885 Are you being sarcastic?

[@mushyomens6885]

@@stormichow5325 nah I am literally just that dumb ( I realize that comment above me wasnt serious lmao) but leaving that aside, I've seen a lot of these 2006 comments on educational videos and Idk where they are coming from. Some meme? Idk. Please tell me

[@nathan4648]

@@mushyomens6885 its a joke and my comment is original

[@yusuf-vw8rr]

one of the best tutorials ive ever seen. extremely helpful, you just summed all conic sections amazingly! Respect!

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The first time I watched your tutorials,I said to myself wow what a professor. I love your tutorials too much.Keep it up, may God bless you and keep you and your family save from Corona Virus. Thank for educating me.I will always download your videos.

[@jerasong2196]

Dear Organic Chemistry Teacher and other people out there I think the third example is very wrong! If you see the negative sign was on the y side (right side) so it would be wrong to assume that the graph is -x^2=y. Also when solving for the foci shouldn't it have been 7/2 because 3-(-1/2) = 7/2 but the video showed 5/2 but I can also see that if the foci is 7/2 the whole graph would be very wrong. Let me also add that the solution for the directrix is also wrong! 3+(-1/2)=5/2 not 7/2 Please help me!!

[@ethansstuff2988]

i luv u had to come back to the video // got a 96% on my math test thanks to you pushing my grade up to an A now

[@jam34786]

Excellent video. A suggestion if I may: because this is a longer one it would be helpful to put timestamps for specific sections because you're covering so much.

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it is all in comic sans

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@@div_yam2304 **conic sans

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You mayn't

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I swear, I think this guy knows everything. No matter what random math concept I type, he's there...Thanks for all the help.

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Now it's 7 years

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I know when I hear this man's voice imma bout to do my hw all sick

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[@kanekiken-ls5iu]

this person single handedly carrying all the students around the globe, Thank you sir God bless you

[@markwarren2115]

Conics? Cleared & resolved. Much thanks to TOCT

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Man this guy is a foreal life saver, can teach me a whole lesson in 1 hour, then my teacher in a week, good work

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wow this one 1 hour video was better than like 5 hours of my shitty teacher

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Worst taught subject is math

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i was not learning for about 7 months due to the lock down and i had totally forgot every thing about conic, but here comes the hero to the rescue. with your help surely i am joining college

[@quackson4141]

there's an error at 22:24 225 - 36 = 189 so it'd be (x+1)^2 = 189/25 instead the answer should be x = -1 ± 3√ 21 /5

[@ahmed_adel_sanhoury92]

True i was shocked when i found my self wrong then i found out that there is an error

[@jeffersonabangan9832]

knowing error means you understand the concept

[@viveks1562]

@@jeffersonabangan9832 it's just substraction I don't know the concept

[@denielrexdelacruz9453]

It's 225-36=189 🙂

[@quackson4141]

@@denielrexdelacruz9453 oh sorry my mistake, i edited my comment now. thanks for pointing it out!

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Im speechless...conic section now crystal clear after watched your video!!i will remember your deeds throughout my entire life 😭😭😭

[@kathyperez9283]

Thank You So Much. I take this as a college class as a high school student and my professor moves so quickly I can never understand the concept. I also miss a lot of school due to sports and I am always lost in my class and when I ask for help the professor does not care. I really appreciate you for taking the time and making these videos for us :)

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STUDYING ONE HOUR BEFORE THE QUIZ 🔥‼️🔥‼️🔥

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You saved my exams!

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bro created neuralink and still doing calculus

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Hyping up Elon is not enough to make a living

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Very helpful. My maths exam is in a month and I was solving a maximization problem but didn't know how to plot the ellipse graph. Now I know the entire conic section too. Thanks a lot

[@johnnylevin7038]

This video was a great review right before my math precalc final! I dont normally comment, but I just wanted to thank you for doing such a good job. You never fail to impress. Thanks a lot

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I'm writing my math final paper for first year uni tomorrow and I just wanted to say that your video saved me. literally.

[@ferdinandtrafalgar1971]

So amazing!The first time I learn math by English,I learnt this in Chinese 3 years ago,but it is still interesting.

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This video triggered me because I went through almost a whole semester not understanding what my teacher was teaching and this dude really did just teach me what she couldn’t in multiple months in one hour :/

[@wilhelm4948]

I’m a sophomore attempting to help my sister (a senior taking Pre-Calc) pass that class for the semester. It feels like everything you’re saying I’m able to clearly grasp and note easily. Thank you for what you’re doing.

[@QuackersForMath]

This is, by far, the best video on conic sections I have ever found. Thanks :)

[@fusuyreds1236]

mistake on the screen at 22:47 : should be 225 - 36 = 189, not 289

[@pyschelios]

THANK YOU SIR!!!! I really didn't understand anything when my teacher taught this topic, if it hadn't been for you I wouldn't have understand conic sections this easily :))) You are really saving my life at college dear sir, I hope you have a wonderful life :)))))

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I love how you add a summary at the end. Thank you a ton.

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Thank you so much, I am getting a head start in pre calculus thanks to you, and now I will be getting the best grades in all of the class, even though I’m only a sophomore with everyone else being juniors and seniors (I skipped a grade because of how much I like math).

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YOU'RE A VERY GIFTED AND TALENTED TEACHER!!!!! YOU HAVE AN EASY, EFFORTLESS AND COMPREHENSIVE STYLE THAT IS BRILLIANT!!!!! A MILLION THANK YOU'S!!!!!

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I wish I could thank you personally for your life saving tutorials. Thank you, Prof❣️

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I never don’t comment in KZbin. But after this video, I really wanted to write a comment. I think, this video was better than online-lesson or lessons at school . Everyone should see this video.

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How could anyone give this guy a thumbs down? He explains things well and is very detail oriented.

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[@jerasong2196]

Very true haha.

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God. Bless. I was stressing about my BIG exam on this and now I am so confident. You made it so easy... My teacher teaches fine, its just the material is so hard to memorize and grasp... but you actually helped me so much!!!!! I am subbing.......!!!!!

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you don't know how big of a favor you've done me with this video thanks a ton

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You're the man. Delivered concisely and effectively.

[@tommymuneio4812]

225-36 isn't 289 it's 189, maybe add a little pop up saying its 189

[@TheOrganicChemistryTutor]

+Tommy Muneio Do you know at which time within that video I made that mistake?

[@tilli1106]

+The Organic Chemistry Tutor around 22:50

[@renewd]

Yeah, the x-intercept came out to a not so nice (-1 + or - 3√21)/5

[@Archna_N]

Tommy Muneio yaah exactly

[@Archna_N]

The Organic Chemistry Tutor 22:51

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This covers so many levels of math, and the beginning of each section is perfect for algebra 2, and from there on gets more complicated

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Love this vid- all of your videos are so well explained. I learned more in 1 hour than I learned in a week of school

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THIS VIDEO HONESTLY HELPED ME SOOOO MUCH THANK YOU SO MUCH

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How are you now

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OMG! I will for sure pass my exam paper tomorrow! Much love... Thanks sir!

[@libinjoseph189]

38:30 Parabola

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Libin Joseph a hero everyone deserves

[@periloushydrous6606]

(Note to self 1:01:10)

[@ITSH4WK]

Thank you!

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[@hegotdrip1319]

Thank You

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I am in the teaching business, your videos are just awesome. They help me to quickly revise before teaching my students.

[@userrrhoppe]

59:22 general to standard form

[@jenny6776]

I never comment, but this is so helpful.. don't know how I would've learned this without these videos.

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YOU SAVED MY MATH THANK YOU FOR RECTANGLE ily god tier brain skills

[@taliyahaininga8620]

Thix guy is so so good at this....thank u for helping us man u are really good u make math easy for us ur voice n explanation does it all keep it up

[@gio11138]

king of conic sections

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king cobra

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huku kenya you are really helping comrades ,,,,,, two days before exams we go through your videos

[@adamdintelman2067]

Amazing video sir but at 1:03:48 K should be -1 not positive 1

[@TheOrganicChemistryTutor]

+Adam Dintelman You're right. Thanks for bringing it to my attention.

[@hackwinelwin5341]

This should be pinned

[@dgo333]

THANK YOU i was so confused

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Finally i have found the source of cleverness

[@KarstenWise]

Absolutely phenomenal... thank you so much, this helps me more than you can imagine!

[@itumelengkobeli8641]

Ever since i watched the coic sections videos on youtube this video is far the most understandable/much easier to understand..

[@Shaftell]

beautiful. Awesome video, very helpful, very easy to understand. Thanks a lot!

[@TheOrganicChemistryTutor]

+Shaftell No problem.

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Generously !

[@angelorelato1361]

thank you

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I'm a student pursuing a degree in mathematics using ODL kind of learning. Ever since I started watching your videos, I have been helped so much. May the good Lord continue blessing you in abundance

[@jayt675]

Thank you very much for making the different in my learning. I never understood math until I watch your videos. You inspired me to become a mathematician.

[@Valerie-ch8bz]

Hyperbola- a is the positive value Ellipse- a is the bigger value

[@jerasong2196]

Dear Organic Chemistry Teacher and other people out there I think the third example is very wrong! If you see the negative sign was on the y side (right side) so it would be wrong to assume that the graph is -x^2=y. Also when solving for the foci shouldn't it have been 7/2 because 3-(-1/2) = 7/2 but the video showed 5/2 but I can also see that if the foci is 7/2 the whole graph would be very wrong. Let me also add that the solution for the directrix is also wrong! 3+(-1/2)=5/2 not 7/2 Please help me!!

[@MariaM-wq3vn]

@@jerasong2196 As I am reading the textbook and watching this video, for the directrix we use -p. In this case it is y=k-p=3-(-1/2). For the foci we use +p in this case it is (h,k+p)=(-1,3+(-1/2)). If you plot the original equation in a graphing calculator you will get the same graph from the video. If you try that -p and +p in the previous parabola examples you will get the same results from the video.

[@jerasong2196]

@@MariaM-wq3vn Ohh okkk! So the only error was the computation. I also thought the parabola was supposed to be just x^2=y instead of -x^2=y. Thanks for pointing it out! :>

[@jerasong2196]

@@MariaM-wq3vn If it's alright with you may I ask if either the parabola faces up or down is the fornula for foci always (h,k+p) and for directrix is k-p? Then if the parabola faces right or left is the formula for foci always (h+p,k) and for directrix is h-p? I really appreciate if you could reply bro because this is the conclusion I came up with but I'm not sure if it's correct. Thanks! :>

[@georgesadler7830]

Professor Organic Chemistry Tutor, thank you for a tremendous explanation and analysis of Conic Sections. The graphs and practice problems are a solid foundation to learning and retaining this material. Conic Sections will help students taking Precalculus/Calculus I,II and III, in the near future. Thanks to the great viewers for finding and correcting all the errors in this video.

[@aaryamanmummadavarapu7120]

In my opinion this is better than Khan Academy.

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Shut up

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i'm studying engineering and this is really helpful! i love you so much

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You actually saved my test score thanks soooo much

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send me some cash

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this was insanely helpful, especially after my teacher didn't teach it and gave us incorrect formulas. this helped me tremendously in grasping the topic.

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شكرا thanks

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اش جابك هنا انت

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You are saver man, you are the hero here. I watched a lot of video about conic sections but your video is the best at all

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Everything You Need To Know About Conic Sections: 1. Circles 2. Ellipses 3. Hyperbolas 4. Parabolas

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I have never felt such easiness learning math my entire life. No lie said.

[@rmzky8094]

34:11 is the squared really included? or nah? y-2 = plus minus 4/5(x + 1)

[@thebush6379]

I've had a class on conics, they did a bad job at explaining why the formula works. I had a hard time trying to determine what all the variable meant. But this cleared up so much that I can't believe I had a hard time understanding it before.

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Sir, can we have shared, the sources/book you are using in this amaziiiiiing lecture......Please

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Nice... Cause it'd be great if we can refer to them and not depend wholly on KZbin

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I love the way u teach, so calm and so detailed, u focus on teaching every aspect of the topic to the learner, great job sir, really appreciate ur work 🙏

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Can you please do a video on rotation of conics?

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dude u r literally my saver, If not for u I would never learn it, my endless gratitude to u my Homie

[@RafaSyed]

@ 33:59 there should not be a square over (x+1) for the equation of asymptote. should there be?

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Rafa Syed ya I noticed the same thing

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Yeeee

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this guy kind of sounds like Mark Wahlberg

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Aidan Kelly Exactly!

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Your voice is exactly like Mark Wahlberg's!

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I knew I couldn't be the only one who thought that!!

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no, he sounds like an introverted asian boy.

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[@NegusBenegus]

This is a Better explaination than my teacher tbh