Parametric Curves - Basic Graphing
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- Опубліковано 31 тра 2008
- Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! * IN MY FIRST EXAMPLE, THERE IS A 'SMALL' MISTAKE. INSTEAD OF GRAPHING t ON THE INTERVAL [0,5] I ACTUALLY USE [0,4]. SORRY FOR ANY CONFUSION!!*
Parametric Curves - Basic Graphing. In this video, I discuss some of the very basics about graphing parametric curves. One example of eliminating the parameter is shown.
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no problem! lots of comments. you did remind me to add some annotations though, so thanks again! i do not leaving mistakes unrecognized!
Even during a pandemic, still saving my ass
Are you in pre cal and understand how to find curve with a table, if so reply ASAP!! I have a couple equations
@@dopeybears737 I just finished calc 2, I had to review this from before but I'm not sure what I can help with
Fahin Rahman I’m in pre cal, i have a table filled with numbers, and if need to write a set of parametric equations, I’ll make a short utube vid of the question if u can help
Fahin Rahman i just uploaded, a video, it’s a pass or fail if i get a good grade on this assignment, if u would like to comment how to solve it in the comments of my help vid that would be great
dude, you just helped me with my Pre-cal final and I 100% appreciate you. You just gained a subscriber.
what you have done here on youtube is amazing man. thank you so much for this tutorial. big props
no problem - happy to help
math is hard; i think for most people it is a matter of perseverance.
good luck and keep up the hard work.
thanks for all the videos on Calc related topics, taking BC exam on Wednesday having skipped AB, so DOUBLE THE STUDYING your videos saved me a lot of time and helped so much.
i learn more from your 8 minute videos than i do in my 45 minute class periods. thanks bro.
im taking the SAT 2 in math tomorrow.. and i never learned this before, this definitely helped... thanks!
Thanks a lot Patrick! You really helped me with this video, something my calculus AP teacher failed to do - tons of help! :) I feel 90% prepared for my test tommorow now.
sir u are simply awesome. this semester i havent gone to any lecture but i still feel confident for my exam !!! because of ur videos
youre saving my life for my cal 3 final
Wait these type of problems are in calc 3? I’m doing this for precalc.
@@verky56 I've taken pre-calc, calc 1, calc 2, ODEs, and Linear Algebra, and I havent done anything with parametrics until calc 3. You've got bad luck lol
good teachers are a great thing to have! :)
❤️
I have the worst calculus teacher, he's old and grumpy
I just graduated High school this may and decided to take up precalculus this summer...and a lot of it is basically just calculus. Every section I find myself at yet ANOTHER one of your videos because they are just SOO helpful! And after a test I come into class like "OH NOooo i bombed it!" And the professers like "uhh, no you didnt. nice job." And Im like, "Thank youuu patrickJMT!" : ) LOL. But seriously, thanks for the help, no one teaches it better!
Wow, this video was 10 years old a couple of days ago. Imagine all the people it's helped in that time!
You are freaking awesome!!! thanks man you always help me to truly grasp the basic idea, better than any professor.
Your videos really help a lot.
I love how you keep your video simple and understandable.
(Seriously, you're better than my professor, :D )
Many thanks from Sydney Australia :D
These videos simplify the concept beautiful
I have no clue if you will ever read this, but you sir are one of the few reasons i am passing calc 2 right now. Im starting to think i would be better off skipping class and just watching these videos. Keep up the good work
thank you that seriously helped so much i didnt understand these at all but now i get the basics thank you
This is an amazing review. Thank you so much!
Dude, thank you for this - seriously helped me out!
Dude, Patrick. That Tutor Guy ad that keeps coming on before your vids is saying bad things about you. :/
Your comment made my day! lmaooo
use ad blocker to block ads
mihir ghosh Nooo! Dont use ad block. If you use ad block, Patrick will lose money for his awesome vids. Thats what makes it free for us.
ShindenZero i
these math videos from 2006 REALLY are helping
My prof teaches us to get rid of t before graphing and i find that way is so much harder. Thanks to you, life gets way easier. This is my 3rd semester learning math without a freaking text book :))
ya, matador pointed it out! i will add annotations now : )
thanks again!
Who could dislike this, he is so helpful
Great tut as always, you are a legend man :)
well, one reason they are used is so that you can describe curves in the plane that are not functions!
Thank you, I love your videos!!!
@tbair200 glad you like my stuff :)
Thanks for a very helpful video!
at 25 seconds, that was the greatest free hand, non graph paper sin graph ive ever seen!
You make my life a lot easier man!
just do a substitution like i do at the end of the video to get y = x^2 in your example
Good work sir
Whoa, you worked through the EXACT problem I was stuck on!
i always watch ur videos before my professor lectures on the topics you explain things so much better than him!
I'm a teacher. I always recommend your videos. Recently we interviewed for a new math position and one of the candidates said he liked you better than Khan. The word is getting around,
Your Great. Keep up the good work
Patrick, you crazy genius you.
Thanks a million patrickJMT
Yes. this is exactly what i need. thanks
You are so much better than Khan Academy... Probably you should start your own Patrick Academy... Will be so much helpful to people like us! Thanks for the videos. :)
@metalmine1 perhaps if universities valued teaching that would be true...
thank you for everything! :)
tight now you are the most famous teacher in my cal class
love you man
@razorchallhan hahah, no enemies that i want destroyed.... yet. ; ) the best thing, better than any donation, is to spread the word and recommend the videos to your friends. or just tell random people on the street if you want.
I'm hoping Patrick has some physics type videos. Analytical Physics 2 is going to bury me in the summer.
it would be t = 4 since x = 1 + (4)^1/2 = 1+2=3
@Kaanzzzz ha : ) good luck in your studies!
thank you so much !
u saved my life
@jaibhambra no, its because of your domain. x = sqrt(t) so you can't plug in a negative because it will result in an imaginary number
Yay, this is making sense now
@patrickJMT You got it, man
Such a pro he does his math in Sharpie.
@HarshadKeLiye good luck!
No, because the graph of the parametric curve is based off of x=root(t).
Negative t values would result in imaginary numbers. In Eliminating the parameter, he squared the root(t), but the implied domain of "t is greater than or equal to 0" still remains. So really, the cartesian version exactly is y=1-x^2 where x is greater than or equal to 0.
Hope this helps
somehow i doubt that...
Dude you seriously are going to be the reason I get my engineering degree, you rock!
On a side note, the new way your page is setup is really hard to find the videos you're looking for. The text isn't searchable and there is no discernible method to how the videos are laid out in the categories. Before you at least had the videos in the order a person would encounter them in a math class, but not they are just all thrown together. Not complaining, but trying to give ya a little feedback.
for a problem like x=sin(t) & y=csc(t) 0
Thank you very much
Muy bueno amigo te quiero mucho no se como haces videos tan explicativs jajaja un saludo desde Cuba.
Billy el del Gym me encanta cuba, es un país hermoso. los quiero !!
Thank you!
haha the first example you used was the first question in my textbook!
Hey Patrick ,thank you so much for this helpful tutorial
the other thing is there was a hard question in my book ,, that was like this .
they put a graph of X with respect to T ,and they put a graph of Y with respect to T ,, they want me to predict how the graph of Y with respect to X ,, I would really appreciate it if make a video about how to solve such problems : ]
ops, i see what you are saying, i think i messed up! thanks matador!
Thank you❤!!!
i love your handwriting..
;)
Around 3:20: why do you take the positive root of 4 and ignore the negative value?? (-2)^2 is also equal to 4.
does the intervals of t have to be 1 or are the intervals based on however accurate you want your graph to be?
Tysm❤ ily❤❤
Thanks Patrick! You're the best! Nothing I'd rather be doing than spending my sunday watching your videos! Hope you have a great day and plow your wife a lot!
That ending had me X'D.
OML saame
Ok. Didn't need to say that last part.
LOOOOOOOOOOOOOOOOOOOOOOLLLLLL dude.....this had me dyinggggggggggggggggggg
Damnnnnn I was not ready for that
thanks man
wait so doing the Tchart method, is every coordinate you get on the graph?
You sir should have facebook page for your channel, I guarantee you would have more than half of all calc students "like" you.
What if there is no restriction to 't' then how would we graph it? just choose any values for 't'?
cool another one of my hw problems.. do you take problems from the Single Variable Calculus Early Transcendentals :: James Stewart book??
at about 4:00 ,
Patrick states that t=5 is the terminal point. I see why that is since it is given but do we not need to graph the terminal point like we did with the starting point?
Sorry I just realized what you said in the description, correcting this error. It may help a tiny bit to also have an annotation pop up during the video saying "This should be t = 5 and NOT t = 4"
ok thanks, but i still don't understand how to graph it? which t values should i start with and how many should i plug in? i know there are no initial or terminal points, but it's asking me to graph it and then indicate the direction that the curve is traced.. if t had bounds i would be ok but because t doesn't, i'm so confused
In the 2nd question the domain of t was (-infinity to +infinity)... can t take negative values?
Does this mean that you can define a curve using vector equations?
Nice video! You must know alotttt of calculus :D! But one question, what if they don't give you an interval for the parametric equations?
Is this curve increasing or decreasing?
i have a question.. i have a problem where negative infinity < t < positive infinity, and x = 3t and y = 9t^2. please help! i don't understand
Thanks a lot :D
when he put t=4, how comes he didn't take the x value to be equal to -1? do you only use the positive root?
Hey if you get back around to this video could you put in an annotation for the note you made in the comments? Thanks.
I love math but I'm a chem major because I understand it way better. For a non-math major, I guess these grades: A (Calc I), A- (Calc II) and B+ (Calc III) aren't bad.
Pat, how come you have very little calc3 videos?
if given the picture for the curve, how do you find the parametric equation?
Kalvin Wong I think the only way is to find 2 parametric equations which give a shape that matches the graph. IE guess
@Samizz i think you (we) are paying for the peice of paper at the end. This guy simply makes it possible for us to get it. The professors at our schools are an unfortunate formality we have to follow.
Thank you : ] ..
My understanding about graphs of curve is.....you have to have the understanding about the nature of them...unlike graphs of straight lines you cannot plug in x and y values by brute calculation....so you need to understand the nature...e.g graph of parabola is y= ax^2. if a is positive the graph is curved upwards and if a is negative the graph is curved downwards...also the value of a has correlation with the width of parabola.....and of course...graphing calculators and computers can graph curves well...but we as people have to have understanding of the curve natures...
@pito0987654321 it was $75/hour, but i no longer tutor
who the hell r u my friend patrick
I have to say u make life easier for calc students
can t have negative values?
Wait so, if there are no restrictions on the parameter in the second example, why does the initial point start at (0,1)? Is that just for the values you chose?
I'm probably way too late, but I believe it's because of the domain restriction of the square root of t