Thank you. This is the first video that explained this in detail. However, I am confused as to how the (a) and (b)'s you were getting out of the equations.
You just look them up. Circles have an equation x^2 + y^2 = radius^2. So an equation x^2 + y^2 = 4, would be a circle with radius 2. The equation he was using was in the form of an ellipse, and so you can just look up the general equation for an ellipse and then read of the answers. Works for parabolas as well. They are all varieties of "Conics". If you google that you will see what I mean.
Excellent! I am using the the textbook Calculus for Scientists and Engineers, and the authors' explanation of drawing level curves with an ellipse was fantastically terrible. Thank you for contributing!
@john Barre if I may try to answer, you are given two variables and finding the third. Z depends on X and Y so there are three variables, technically. The up or down depends on the function. Since they are x^2 and y^2 there can never be a negative Z because any number squared will be positive. so this will always go in positive z axis direction. if you are talking about the x^2+2y^2=z equation. This video helped me understand so much about level curves in a single video, thank you good sir, hope you are doing well.
Thank you so much. How did you know it was an ellipse so quickly, and can you always find the a & b values by set the equation equal to 1 and square rooting the denominator?
when creating the 3D graph from the level curve (the example problem you did of the elliptical parabola) how do you know which way the function extends (up or down)? because you're only given 2 variables... not 3.
This video is 9 years old and still so helpful, Thank you!!!
After 13yrs as well it's still helpful
Tnx 🎉🎉🎉🎉
This is a 11 years old video, and still is one of the best ones for me as far as this topic is concerned,
Your videos are my new favorite thing. Sending them to everyone that I know. Thank you so much. I hope to join you in online education in the future!
Thank you sooo much ! This is just what I needed. 3D models really make it easier to visualize and understand !
@goddetective The standard form of an ellipse: x/a^2 + y/b^2 = 1 when centered at the origin.
I love youuuu, this is the only video that i found that actually explains how you find the x and y intercepts! Thank you
Thank you.
This is the first video that explained this in detail.
However, I am confused as to how the (a) and (b)'s you were getting out of the equations.
You just look them up. Circles have an equation x^2 + y^2 = radius^2. So an equation x^2 + y^2 = 4, would be a circle with radius 2. The equation he was using was in the form of an ellipse, and so you can just look up the general equation for an ellipse and then read of the answers. Works for parabolas as well. They are all varieties of "Conics". If you google that you will see what I mean.
I'm studying at wake tech now and I've watched most of your amazing videos. Thank you so mutch.
😀 I am glad I could help!
Excellent! I am using the the textbook Calculus for Scientists and Engineers, and the authors' explanation of drawing level curves with an ellipse was fantastically terrible. Thank you for contributing!
this 10 min vid just taught me what i learned in lectures for a month
Thank you! All of your videos help me a lot!
@john Barre if I may try to answer, you are given two variables and finding the third. Z depends on X and Y so there are three variables, technically. The up or down depends on the function. Since they are x^2 and y^2 there can never be a negative Z because any number squared will be positive. so this will always go in positive z axis direction. if you are talking about the x^2+2y^2=z equation.
This video helped me understand so much about level curves in a single video, thank you good sir, hope you are doing well.
thank you very much. This is helpful to me when reading the "convex optimization".
*Only 18+* 👇👇👇 🔞
i33522689.sweetloves.ru
Very nice explanation Sir. It is helpful for the Graduate students to understand the concept of the Level curves.
Thank you so much. How did you know it was an ellipse so quickly, and can you always find the a & b values by set the equation equal to 1 and square rooting the denominator?
The equation of an ellipse is The same as a circle, but the sum is a constant that is not squared (x^2 + y^2=C)
great effort, really appreciated for this video and especially for the quotation at the end
James is an intelligent individual- THANK YOU!
when creating the 3D graph from the level curve (the example problem you did of the elliptical parabola) how do you know which way the function extends (up or down)? because you're only given 2 variables... not 3.
:D I found this video very helpful :D thank you so much sir.
You are welcome. I'm glad I could help.
THANK YOU! :) btw, i was stressed about my math final and the quote at the end of this video completely helped me :)
truly enjoyed your video! thank you!
You are a life saver... Thank you so much for your videos
That is great! Thank you
The video is so so helpful. Thank you so much!!
Thanks for the video, I don't know whether this goes without saying but is it common knowledge to let x=0 to find y when z=c and vise versa for x?
im so blessed that this video is exist. Thank you so muchh
Great explanation! Thanks a lot.
MY DUDE!you are beast!!!
that made a lot of sense, thankyou :)
This video is more helpful than my professor's 3 hrs lecture.
This is very useful:) thank you so much
Mathispower4u May I ask, what type of software were you using at 4:10? Thank you
Tony Lee mattelab
Thanks mate, very helpful indeed!
Thanks this was really helpful!
how does it work when you use the formula Z= x^2 + 2y^2, you come with a=sqrt2 and b=1, but than you get 1+1=1 wich doenst make sence to me?
showing it with a graph is really helpful.! ty
I think videos, like this more deserve "like"(👍) then others, because this video is helpfull
Thank you soooo much.!!!!!!! This video for very helpful
If in the function there was minus instead of +, would there still be elipses?
can someone tell me what the software is used in the display? that one he rotated.
The level curve is convex so what does it basically tells us?
very nicely explained. keep up the good work !
Actually very very helpful.Thank u
awesome. is there a part 2 with more examples?
Great! Thanks so much for posting this!
awesome demonstration
thanks
man you're good at those scetches. i dunno how yo udo it on the computer!
you made my day!
absolutely fantastic. thank you.
I can use any numbers for c correct?
best explanation!!
Love the arthur ashe quote!
this genius but i dont get it when it comes to introduce the square root to the denominator to get a and b..explain please
thank you very much dude . very helpful
Beautyful explanation
Very helpful. Thank you
Thank you sir
VERY HELPFUL! thanks a lot!
You are soo much helpfull, thank you really really much!! :)
Thank you for the comment.
Dafaq is a and b?
its referring to the equation of the ellipse
thank you so much!
its really helpful thamk you
well explained buddy.
That was helpful. Thank You....
Merci beaucoup!
You are genius)Thank you so much)*
Thank you very much!
good explanation!
I found it very helpful, thank you for explaining 😀
Very good video :)
Great video. Thanks. :-)
nice video m8
Thanks a lot!
thank you
Thank you!!!!!!!!!!!!
WTF is a and b??
+Max Tan review the ellipse video, it's all explained there
x and y, i think he used a and b because they're essentially constants after solving for x and y.
You = Win
yes very helpful :) Thx
Tq..
thx
thanku
nice quote
thnx
good
4:05
x^{2}+y^{2}+1=2456
Very good explanation
Thank you!
Thank you sir
thanku
good
Thank you sir