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Graphing a Parabolic Cylinder in 3D by mes

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hive-181335 · @mes ·
$4.25
Graphing a Parabolic Cylinder in 3D
<center>

[![](https://ipfs-3speak.b-cdn.net/ipfs/bafkreieoggf75x4gus3xuzsvizuvps7qn5ksjcycgu32yhgvqclnn5numa/)](https://3speak.tv/watch?v=mes/uebcdrzg)

▶️ [Watch on 3Speak](https://3speak.tv/watch?v=mes/uebcdrzg)

</center>

---

In this video I introduce cylinders and quadric surfaces and then do an example graphing out a parabolic cylinder. I first recap on the equation of a plane and equation of a sphere in 3D. A cylinder is defined as a 3D surface that consists of all lines (called rulings) that are parallel to a given line and pass through a given plane. I illustrate this by sketching the graph of the parabolic cylinder z = x<sup>2</sup>. Since the y-variable is missing, this means that the parabola on the xz-plane can be extended along the y-axis to infinity. Note that the 2D parabolas are called traces, which are curves of intersection of the surfaces with planes parallel to the coordinate planes. Traces make it easier to sketch the surface, and in some cases are necessary to do so.

Time stamps:

- Recap on Planes and Spheres: 0:00
- Graphing cylinders and quadric surfaces using traces: 1:25
- Cylinders: 1:47
- Example 1: Parabolic Cylinder 2:05
- Graphing in GeoGebra: https://www.geogebra.org/3d/tabys4ec: 5:31
- Cylinder has a missing variable in the equation: 6:31

Full video below:

- Cylinders and Quadric Surfaces: https://youtu.be/k4EyLr4uOUA
- HIVE video notes: https://peakd.com/hive-128780/@mes/cylinders-and-quadric-surfaces
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EfmYwT81SebJnU1Ny8Fc5u
- Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .

------------------------------------------------------

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Free Calculators: https://mes.fm/calculators

BMI Calculator: https://bmicalculator.mes.fm
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Free Online Tools: https://mes.fm/tools

iPhone and Android Apps: https://mes.fm/mobile-apps

---

▶️ [3Speak](https://3speak.tv/watch?v=mes/uebcdrzg)
👍  , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , and 167 others
properties (23)
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vote details (231)
@chessbrotherspro · 
<h3>Congratulations!</h3><hr /><div class="pull-right"><img src="https://images.hive.blog/DQmQLssYuuJP2neoTVUbMRzvAu4Ptg7Vwt92aTM7Z3gNovg/cb-logo-150.png" alt="You have obtained a vote from CHESS BROTHERS PROJECT"/></div><div class="text-justify"><h3>✅ Good job. Your post has been appreciated and has received support from <a href="/@chessbrotherspro"><b>CHESS BROTHERS</b></a> ♔ 💪</h3><p><br>♟ We invite you to use our hashtag <b>#chessbrothers</b> and learn more <a href="/@chessbrotherspro/introducing-chess-brothers-project-the-most-innovative-community-combining-chess-fitness-and-more"><b>about us</b></a>.</p><p>♟♟ You can also reach us on our <a href="https://discord.gg/73sK9ZTGqJ" rel="noopener" title="This is going to take you to the Discord of Chess Brothers"><b>Discord server</b></a>  and promote your posts there.</p><p>♟♟♟  Consider <a href="/@chessbrotherspro/teamwork-is-worthwhile-join-the-chess-brothers-healing-trail-supporting-the-work-being-done-and-earning-rewards"><b>joining our curation trail</b></a> so we work as a team and you get rewards automatically.</p><p>♞♟ Check out our <a href="/@chessbrotherspro"><b>@chessbrotherspro</b></a> account to learn about the curation process carried out daily by our team.</p><p><br>🏅 If you want to earn profits with your HP delegation and support our project, we invite you to join the <i>Master Investor</i> plan. <a href='/@chessbrotherspro/master-investor-plan-or-programa'>Here you can learn how to do it.</a></p></div><div class="text-center"><p><br>Kindly</p><p><strong><em>The CHESS BROTHERS team</em></strong></p></div>
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@mes · 
- Cylinders and Quadric Surfaces: https://youtu.be/k4EyLr4uOUA
- HIVE video notes: https://peakd.com/hive-128780/@mes/cylinders-and-quadric-surfaces
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EfmYwT81SebJnU1Ny8Fc5u
- Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ
- MES Links: https://mes.fm/links
👍  
properties (23)
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@stemsocial ·
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