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
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!
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,
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
@@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
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.
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.
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
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 :))
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. :)
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
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.
@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.
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?
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!
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?
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
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...
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 : ]
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"
It's a little late, but, if no restriction is given, any real number can be input so long as there are no restrictions to t such as a square root or a denominator of 0.
It's a little late, to second this but, if not restriction is given, pretty much any real number can be an input as long as there are no restrictions to t. Examples include a square root or a denominator of 0.
I understand plotting by choosing your t,x, y columns, but something I always struggle with is choosing enough 't' values to make an accurate judgement of what the plot looks like. Does anyone have a good suggestion for choosing the quantity of t' values you evaluate? Edit: Also, if we aren't allowed to use calculators and our equations are fairly complicated, is it silly to evaluate non-whole numbers?
+Shneaky Shnake well, graphing by plotting points is always a bit of a sticky wicket; you never really know how many points are 'enough'. this is why typically other techniques are used.
Oh my goodness, I didn't expect a response so quickly and especially from you! The most preferred method is to solve 't' for a variable and plug that equation in to the other, yes? But if 't' proves impossible to solve for a variable, then this is your only choice. Is that also correct?
Dude you are a rockstar. Well since your videos are on youtube, its free. so just wondering if you take donations because you saved my ass in calc 1 and now in calc 2 too and i cannot show my gratitude for what you do dude. cause school is really expensive and you saved my ass soo many times and are there like idols of you that i could worship or something?
@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.
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.
@Samizz We are the ones being ripped off. No one would make 900+ instructional math videos if they didn't enjoy doing so. This guy is incredible for doing what he does.
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
math is hard; i think for most people it is a matter of perseverance.
good luck and keep up the hard work.
dude, you just helped me with my Pre-cal final and I 100% appreciate you. You just gained a subscriber.
i learn more from your 8 minute videos than i do in my 45 minute class periods. thanks bro.
no problem! lots of comments. you did remind me to add some annotations though, so thanks again! i do not leaving mistakes unrecognized!
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!
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
Wow, this video was 10 years old a couple of days ago. Imagine all the people it's helped in that time!
im taking the SAT 2 in math tomorrow.. and i never learned this before, this definitely helped... thanks!
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,
good teachers are a great thing to have! :)
❤️
I have the worst calculus teacher, he's old and grumpy
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
no problem - happy to help
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
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.
what you have done here on youtube is amazing man. thank you so much for this tutorial. big props
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.
at 25 seconds, that was the greatest free hand, non graph paper sin graph ive ever seen!
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
well, one reason they are used is so that you can describe curves in the plane that are not functions!
Around 3:20: why do you take the positive root of 4 and ignore the negative value?? (-2)^2 is also equal to 4.
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
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!
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. :)
i always watch ur videos before my professor lectures on the topics you explain things so much better than him!
Who could dislike this, he is so helpful
just do a substitution like i do at the end of the video to get y = x^2 in your example
tight now you are the most famous teacher in my cal class
thank you that seriously helped so much i didnt understand these at all but now i get the basics thank you
@tbair200 glad you like my stuff :)
@metalmine1 perhaps if universities valued teaching that would be true...
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
You are freaking awesome!!! thanks man you always help me to truly grasp the basic idea, better than any professor.
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.
These videos simplify the concept beautiful
Such a pro he does his math in Sharpie.
it would be t = 4 since x = 1 + (4)^1/2 = 1+2=3
@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.
wait so doing the Tchart method, is every coordinate you get on the graph?
somehow i doubt that...
does the intervals of t have to be 1 or are the intervals based on however accurate you want your graph to be?
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?
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
@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
ops, i see what you are saying, i think i messed up! thanks matador!
for a problem like x=sin(t) & y=csc(t) 0
@Kaanzzzz ha : ) good luck in your studies!
cool another one of my hw problems.. do you take problems from the Single Variable Calculus Early Transcendentals :: James Stewart book??
Does this mean that you can define a curve using vector equations?
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
Whoa, you worked through the EXACT problem I was stuck on!
What if there is no restriction to 't' then how would we graph it? just choose any values for 't'?
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 !!
@HarshadKeLiye good luck!
You make my life a lot easier man!
Pat, how come you have very little calc3 videos?
Dude, thank you for this - seriously helped me out!
This is an amazing review. Thank you so much!
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
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...
Wasn't it t=4, and it's not terminal point? Because 0
Yeah, I believe the terminal point is at (root(5),5). Edit: Checkout the description he changed the interval from [0,5] to [0,4]
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 : ]
You sir should have facebook page for your channel, I guarantee you would have more than half of all calc students "like" you.
In the 2nd question the domain of t was (-infinity to +infinity)... can t take negative values?
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?
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"
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
So, if they don't give us the restrictions, then can we plug in any number which is bigger than 0?
It's a little late, but, if no restriction is given, any real number can be input so long as there are no restrictions to t such as a square root or a denominator of 0.
It's a little late, to second this but, if not restriction is given, pretty much any real number can be an input as long as there are no restrictions to t. Examples include a square root or a denominator of 0.
I understand plotting by choosing your t,x, y columns, but something I always struggle with is choosing enough 't' values to make an accurate judgement of what the plot looks like.
Does anyone have a good suggestion for choosing the quantity of t' values you evaluate?
Edit: Also, if we aren't allowed to use calculators and our equations are fairly complicated, is it silly to evaluate non-whole numbers?
+Shneaky Shnake well, graphing by plotting points is always a bit of a sticky wicket; you never really know how many points are 'enough'. this is why typically other techniques are used.
Oh my goodness, I didn't expect a response so quickly and especially from you! The most preferred method is to solve 't' for a variable and plug that equation in to the other, yes? But if 't' proves impossible to solve for a variable, then this is your only choice. Is that also correct?
Hey if you get back around to this video could you put in an annotation for the note you made in the comments? Thanks.
Good work sir
Thanks a million patrickJMT
Great tut as always, you are a legend man :)
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
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?
Thanks for a very helpful video!
Dude you are a rockstar. Well since your videos are on youtube, its free. so just wondering if you take donations because you saved my ass in calc 1 and now in calc 2 too and i cannot show my gratitude for what you do dude. cause school is really expensive and you saved my ass soo many times and are there like idols of you that i could worship or something?
Patrick, you crazy genius you.
@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.
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.
Is this curve increasing or decreasing?
@Samizz We are the ones being ripped off. No one would make 900+ instructional math videos if they didn't enjoy doing so. This guy is incredible for doing what he does.
Yes. this is exactly what i need. thanks
i love your handwriting..
;)
@pito0987654321 it was $75/hour, but i no longer tutor
At 8:35 when he was graphing the parabola what's with the dotted line to the left?
it was black hole
Thank you, I love your videos!!!
i got say thumbs up 4 ya. am on youtube for you only. if you can, pls also do physics related to engineering and science students.
who the hell r u my friend patrick
I have to say u make life easier for calc students
haha the first example you used was the first question in my textbook!
u saved my life
Your Great. Keep up the good work
Shouldn't the point (3,0) is t=4? Why did you say it's t=5?
Danggit... If only I subbed to ur channel at the beginning of the semester. My calc 2 professor is terrible! Why can't u be my professor lol?!?!
thank you for everything! :)
can t have negative values?
I fell like I've forgotten everything. Hehehe. But that's okay because I just finished Calc I, II and III...booyah! Haha.
Yay, this is making sense now