I have a question about the "Elliptical Cone" when we set y = 0, don't we get the equation x^2/a^2 = z^2/c^2? Then don't we also get z = + or - sqrt(x^2 * c^2 / a^2 ) ? Which would equation z = + or - (x * c / a) which would be a two lines and not a hyperbola right?
You can find them in my Calc II library at mathispower4u.com toward the bottom of the third column. Introduction to Quadric Surfaces The Ellipsoid The Hyperboloid of One Sheet The Hyperboloid of Two Sheets The Elliptical Cone The Elliptical Paraboloid The Hyperbolic Paraboloid Graph Implicit Equations (Quadric Surfaces) Using 3D Calc Plotter Surfaces of Revolution Cylindrical Coordinates Converting Between Cylindrical and Rectangular Equations Spherical Coordinates Converting Between Spherical and Rectangular Equations Ex 1: Convert Cartesian Coordinates to Spherical Coordinates Ex 2: Convert Cartesian Coordinates to Spherical Coordinates Ex 1: Convert Spherical Coordinates to Cartesian Coordinates Ex 2: Convert Spherical Coordinates to Cartesian Coordinates Ex 1: Convert Cartesian Coordinates to Cylindrical Coordinates Ex 2: Convert Cartesian Coordinates to Cylindrical Coordinates Ex: Convert Cylindrical Coordinates to Cartesian Coordinates
its nice to see the 3d rotation and representation of these quadric surfaces rather than on a 2d page. i salute you sir thank you
Thanks! This series on Quadric Surfaces is helping a lot in my Calculus-II course! Keep it up!
Excellent video (and much needed reminder at the end). However, shouldn't the paraboloids have a z/c rather than z/c^2 ?
Hector Nevarez Yes, I annotated the correction. I apologize for the typo. Thank you for notifying me.
Okay, you really know how to explain fun concepts.
Great video. My textbook does a TERRIBLE job explaining this but you nailed it. Keep it up, man.
This video really helped clear some things up for me! Thank you!!
found this a day before a calc 3 exam. indispensable.
great video, but can you give me any applications to these surfaces?
I have a question about the "Elliptical Cone" when we set y = 0, don't we get the equation x^2/a^2 = z^2/c^2? Then don't we also get z = + or - sqrt(x^2 * c^2 / a^2 ) ? Which would equation z = + or - (x * c / a) which would be a two lines and not a hyperbola right?
i agree with you from 13years later
Thanks for a great video!
Are the course materials (slides, 3D renderings or so) uploaded? If so, where should I download them?
which plane is the third plane when you talk about hyperboloid of 2 sheets and eliptical cone?
Yes, you are correct. However this would be considered a degenerate hyperbola because degenerated to two lines or asymptotes
thanks for posting
Great job, this was very helpful
Thank you for taking the time to leave a comment. I appreciate it. I am glad you found the lesson helpful.
Beautiful.😊
Thanks man great video. The characteristics list for each was extremely helpful.
Thank you so very much for this and all your videos
Thank you sir❤
which software did u use to draw the graphs
Thank you so much❤
what software are you using to graph these functions?
two years late but it looks like Maple
Hi, do you have a link to that powerpoint/slideshow you are presenting in that video?
Great videos, thank you so much!
excellent presentation, thanks a lot
in elliptical paraboloids and hyperbolic paraboloids shouldnt it just be 'z/c' not 'z/c^2'?
Where are the other subsequent videos on quadric surfaces?
You can find them in my Calc II library at mathispower4u.com toward the bottom of the third column.
Introduction to Quadric Surfaces
The Ellipsoid
The Hyperboloid of One Sheet
The Hyperboloid of Two Sheets
The Elliptical Cone
The Elliptical Paraboloid
The Hyperbolic Paraboloid
Graph Implicit Equations (Quadric Surfaces) Using 3D Calc Plotter
Surfaces of Revolution
Cylindrical Coordinates
Converting Between Cylindrical and Rectangular Equations
Spherical Coordinates
Converting Between Spherical and Rectangular Equations
Ex 1: Convert Cartesian Coordinates to Spherical Coordinates
Ex 2: Convert Cartesian Coordinates to Spherical Coordinates
Ex 1: Convert Spherical Coordinates to Cartesian Coordinates
Ex 2: Convert Spherical Coordinates to Cartesian Coordinates
Ex 1: Convert Cartesian Coordinates to Cylindrical Coordinates
Ex 2: Convert Cartesian Coordinates to Cylindrical Coordinates
Ex: Convert Cylindrical Coordinates to Cartesian Coordinates
Many thanks
Great, thanks a lot
The Elliptic Paraboloid equation should be z/c=(x^2/a^2)+(y^2/b^2). The c should not be squared.
rosalinda0210 Yes, I annotated the correction. I apologize for the typo. Thank you for notifying me.
Thku sir it helped me alot👍👍👍
This is soooooooooo helpful :) thanks a lot :)
thanks for the help
can you define surfaces please? i don't understand what that is :(
7 Years Ago
very usefull
nice!
@vthandu556 looks like maple
Maple
thankss...my chinese professor sucks the hell out of us...