Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: ua-cam.com/video/pxh__ugRKz8/v-deo.html Derivatives of Parametric Functions: ua-cam.com/video/kf2dZWqLnqE/v-deo.html
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.
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
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
@@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
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
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?
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.
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
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!
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 UA-cam TV with the Organic Chemistry Tutor.
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 ❤️
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.
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
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.
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?
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
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?
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 😅.
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.
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.
Square root of any known number is defined as the positive root. Square root of 4 is only positive 2. While if you are wondering about the square root of xsquared, unknown number, it is indeed + or - x. Hope this helps.
I'm sorry to say that the notations at 26:44 are all wrong. We never write lnₑ x. ln means log of base e. Also, for a problem like that we just need to multiple the two equations and you simply get xy = 1 and then consider the domain of t to figure out the portion of the curve since in this case t >= 0. It probably takes couple of minutes to do all these. Some of my students follow the method in this video and consequently lost much time and ended up with a low score. At 2:36, it should be t = -2, ..., t=2. I guess it is a mistake. Some of other videos are good, but this problem sends students in the wrong direction. Thank you.
"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
They use a floating system so these exact values come out slightly off sometimes. It’s like when you find something that should be 0 coming out to E^-14
You are using degrees instead of radians, pi in degrees is close to 1 while in radians is -1 exact, and as @lawson2398 said they're slightly off, however they're also missing negative sign so the overall answer is close 5 instead 1
Thankyou sir.but Im confused with the t values labelled on the graph first example. How do we go from t=(-2 to 2) to t=(0,1,2,3,4) labelled on the graph.
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Next Video: ua-cam.com/video/pxh__ugRKz8/v-deo.html
Derivatives of Parametric Functions: ua-cam.com/video/kf2dZWqLnqE/v-deo.html
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.
Man I don't even do math but this guy's voice is so relaxing.
Frr no homo tho
Like Bob Ross
Fuck you, the only way you are allowed to listen to this guy is if you suffer with the rest of us XD
Sounds like Macklemore smh
You’ve got me through cal1,cal2,DE, and now cal 3. Thank you so much sir. Doing the lords work
DE! Oh no haha
@@crow1628 does he have de videos too?
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
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
hhayi wwena where does lord come in now?
This is helpful af, but I'm still about to fail this cal 2 exam. Pour one out for me bois.
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
@@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
im in the same sinking boat 9 months later, feels bad man
It’s poured my bro.
so did you failedededed?
These types of videos with tutoring always have the most positive comments sections its crazy!
hehelloworld123 not always lol
@@yashrawat5494 screw you hippies! >:(
Bro , this teacher is SAVAGE , he doesnt deserve a single bad word
Well, it's probably full of caffeinated highschoolers doing h.w. at 2 a.m.
@@jamesdanner9854 Lmaoo, that may or may not be me right now
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
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?
@@ultimatekenz low iq
@@ultimatekenz I have this in pre-calc 2
@@ultimatekenzI have this in precalc 1 as in a sophomore in high school
@@ultimatekenzi know ppl in calculus who couldn’t handle fractions to save their lives
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.
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
Bro, he is our teacher ^^
Who came here cuz you didn't understand a single word spoken by the teacher during the lecture?
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!
@@freecake1 cheers mate
i come here because i dont go to the lectures lol
some teachers make it so complicated like seriously not that complicated...?
Well
I like how he provides a lot of examples to practice and explain. It really helps.
Have I told you lately that I love you? You save me all the time. Many thanks once again.
Nobody:
Me right before my exam:
30 minute video I only got 20 minutes
*whips out x2 speed*
SAMEEE
Same.
I missed a class and we just started to cover this. With this I feel more confident once I go back so thank you!
Same exact thing I’m going through lol
@@benberkson4481same here lmao
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 UA-cam TV with the Organic Chemistry Tutor.
This was straightforward and clear. Thank you so much!
First day of school and understand nothing about parametric....Thank you!! It really helped!!
The best math channel everrrr
You explained in 30 mins what takes me days to figure out. Thanks a bunch fam.
Percentage of the content this man makes is like one percent about organic chemistry shfuiuisdifsdgvuivd.
He teaches math,physics,organic chemistry,general chemistry,biology
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 ❤️
im almost done with trig now but hopefully he helps me through calc 1-3 and physics 1-2 lol
calc 7 💀💀💀
bro what are calc4 and onwards. Are those in the imaginary plane or sum
Wth is calc 4, 5, 6, and 7
At 2:48 on the graph, isn't it t=-2 for the leftmost point? rather than t=0?
Riiight? Thank you. I'm not crazy.
I think his brain was on autopilot mode and he just started at zero instead of -2
i also thought that
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???
@@pridetrooperjiren548 yes, that's what they mean
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.
We're just grateful. Every college student relies on you when their cal exam is like tomorrow!
Man this guy has the most calming voice and he blesses us with this great videos, idk who u r but thanks a lot!
How you going to tell me to pause and do it but then change the whole question 3 seconds after?
lol that's painful
be happy that he makes videos haha
I felt this pain
i felt this
How on earth do you make your videos so helpful.
Like REALLY
Probably the most loved creator on youtube
The day I finish school and land my first job I’m sending a big donation to this channel iA 🤲🏼
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
Thank You 😁 I passed my exams in Calculus
youve been teaching me since i was in high school, im currently doing my first degree year, thank you !
Thank yoooou! Writing my final on Friday, wish me luck!
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.
This channel always comes in clutch for review👍👍
Who all is here before a cal 2 exam?
I am watching this 2 months to my exam.. I will do well😌
YAAASSSSSSSSSSSSSS. YOU'RE LITERALLY MY SAVIOR
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.
John Landon Miller this isn't his first video on the subject
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
thank you so much! You do the world an incredible service.
Thanks
Graphing 0:10
Eliminating parameter 6:10
I love you man 😂❤🫡😭May all the wonderful things in the world gravitate to you ❤😭you are literally saving my life right now 😢
you are a gift to humanity
Almost everyone in my university uses your videos
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
at 5:55 t= 4 not 2 on the uppermost coordinate
You are literally an educational hero. *Thank you* 🙏
this guy can teach anything
THANK YOU MATH JESUS!
I was really struggling to find a proper lecture on this topic!! Thank you so much !! It was really really helpful!
If I’m ever struggling I look for his videos. Never fail to help
bless your soul you have saved me too many times
omgg ty som much helped me a lot. I was puzzled by the "Eliminating The Paremeter" part but now i know what it means!
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?
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
You are right
I was wondering this same thing. I think he made a mistake?
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?
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
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
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?
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 😅.
The organic chemistry tutor guys!
15:02 an ambulance went somewhere, I hope that guy is fine
dersteyken dikkatim ektedir
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.
@@Sai1ence agree with that
i literally learn more in your videos than in my college
Hello.
May I ask why, specifically, the trig ID was used, at 11:40? I am lost at this point.
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.
Great work...years old but still very helpful.
I am here again. Thank you for this video.
What software do you use to write like a board, bro?
Thank you so much!!
MathChris ms paint
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?
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.
teacher, at 4:14 in the video, why the square root of something is not +and - in this case??
Square root of any known number is defined as the positive root. Square root of 4 is only positive 2. While if you are wondering about the square root of xsquared, unknown number, it is indeed + or - x. Hope this helps.
I'm sorry to say that the notations at 26:44 are all wrong. We never write lnₑ x. ln means log of base e. Also, for a problem like that we just need to multiple the two equations and you simply get xy = 1 and then consider the domain of t to figure out the portion of the curve since in this case t >= 0. It probably takes couple of minutes to do all these. Some of my students follow the method in this video and consequently lost much time and ended up with a low score. At 2:36, it should be t = -2, ..., t=2. I guess it is a mistake. Some of other videos are good, but this problem sends students in the wrong direction. Thank you.
Not an insult. But that may be the difference between someone know math and someone doesn't know the real deal.
Thank you for pointing that out. I had the same question, but didn't know what went wrong.
Yes, why don't you just multiply to get xy=1. Am I wrong here?
@@apiape1206 Yes, you are correct.
It is not a mistake. He list wrong t values for all the problems. Please check one with x sqrt(t).
You are the reason that I got an A on my midterm
at 2:59 did you mean to put t=-2,-1,0,1 and 2 instead of t=0,1,2,3 and 4
this is very helpful, now i understand the lesson more. thank you for thiss
BRO YOU're a legend
You make my life a lot easier
13:06 x=3sin(t) is changed to x=2sin(t)
nvm he caught it, i should have just watched a little bit further
I'm cooked bro
😂😂😂😂😂😂😂
Twin
Same...
😭😭
Same
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?
Amazing explanation ❤
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....
gonna take my calc 2 final tomorrow, wish me luck guys
At 13:15 how did he get x=2sint? Shouldn’t it be x=3sint never mind just watched the vid further. Big goof
please explain :((
i was actually happy i was understanding it until i made it to the second half of the video
"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
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?
🇪🇬Greetings to you from Egypt
I loved the circle example.
Thank youu soo much. It was so helpful..❤️
Bro you're a god.
Bro I fuckin love this channel. Professors can't teach for shit. (Sometimes)
19:30 when i use calculator, cos (pi) is = 0.9984971499, Why I'm getting different value? my calculator is Casio fx-570ex
They use a floating system so these exact values come out slightly off sometimes. It’s like when you find something that should be 0 coming out to E^-14
You are using degrees instead of radians, pi in degrees is close to 1 while in radians is -1 exact, and as @lawson2398 said they're slightly off, however they're also missing negative sign
so the overall answer is close 5 instead 1
Your kids are going to be just like you!! Awe
Thankyou sir.but Im confused with the t values labelled on the graph first example. How do we go from t=(-2 to 2) to t=(0,1,2,3,4) labelled on the graph.
thanks bro, my head was about to explode 🤯
So do you eliminate the parameters only when you have no restrictions?
all these comments talking about how this video got them thru Calc II or Calc III while my teacher is out here teaching this in precalc :/
Facts but so glad I got to learn this in precalc because i got to understand more in both calc II, calc III, and even physics
was told sequences/series was hardest part of calc 2 but wtf is this, way harder than any sequence/series problem lol
RIGHT- everyone was like “ohhh taylor series is the hardest thing you’ll ever do!1!!1” yet no one talks about this shit which is worse 😭
this was so helpful, thank you sir
32:11 Shouldn't there be an absolute value?
Superb stuff! Keep it up!
in the ellipse formula is 'a' always the larger number? so if the 16 was under x^2 in the ellipse formula, that would be a?
at 2:47, why are the t values different on the graph
Isn’t the first on wrong? For t values
Saved the day!!Engineering Math😂😂