Math Easy Solutions

In #MESExperiments 36 I further demonstrate Faraday's Paradox, this time using Ferrofluid and showing that a magnet rotating about its polar axis has no effect on the fluid. I also perform additional experiments using iron filings using more complex patterns to show that they are still not affected by the rotating magnet. This is a follow-up to Experiment 35 which I performed similar experiments but with the magnet at a distance away from the iron filings. According to Michael Faraday's theory on magnetism, the magnetic field "lines of force" should be moving and cutting through the iron filings and they thus should experience an electromotive force (EMF), which paradoxically don't. This suggests the magnetic field does not rotate. Further information on Faraday's Paradox as well as FractalWoman's magnetic isopotentials explanation for it can be seen in the video description of Experiment 35: https://youtu.be/hotOO9bwrrA The original unedited version of this experiment can be seen here: https://youtu.be/mJjDasSSqHo Timestamps: - Placing a magnet underneath ferrofluid: 0:00 - Rotating the magnet has no effect on ferrofluid: 0:16 - Rotating the magnet with a drill has no significant effect on ferrofluid: 0:29 - ADDITIONAL EXPERIMENTS with Iron Filings: 1:06 - Rotating a magnet underneath has no effect on iron filings: 1:16 - No effect even if iron filings pattern is complex: 1:25 - No effect when rotated with a drill: 2:07 - Repeating experiment with iron filings on a tray: 2:41 - Rotating magnet still has no effect on iron filings: 3:06 - Same result with complex iron filings pattern on a tray: 3:21 - Same result when rotated with a drill: 4:02 - WARNING: Be careful when working with ferrofluid! 4:54 Stay tuned for #MESExperiments 37... View experiment screenshots and more experiments below: - Screenshots of the Experiment: https://peakd.com/hive-128780/@mes/hdmneruh - #MESExperiments video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0HUHoank-Lj9q6RGAS51QRh - Hive playlist: https://peakd.com/mesexperiments/@mes/list - DRAFT #MESExperiments video series: https://mes.fm/experiments-draft Related Videos: #MESScience video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0GhjCHmTw1XbqMD_EdVKdd9 #AntiGravity video series: https://peakd.com/antigravity/@mes/series #FreeEnergy video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FKVpHL_onhaqBeVP-8qJXV . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I show that a hyperbolic paraboloid can be generated entirely by two sets of lines, thus classifying it as a Ruled Surface. The only quadric surfaces that are ruled surfaces are cylinders, cones, and hyperboloids of one sheet. All of these can be generated by the motion of straight lines. A hyperbolic paraboloid has horizontal traces that are hyperbolas and vertical traces that are parabolas. I show that two sets of lines in parametric equations can be plugged directly into the equation of the hyperboloid paraboloid and obtain a point on it. I also play around with the lines using GeoGebra's 3D graphing calculator to show that the lines are always on the hyperbolic paraboloid, which is pretty amazing when you think about it! GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec Time stamps: - Exercise 2: Hyperbolic Paraboloid Generated from Lines: 0:00 - Ruled Surfaces: hyperbolic paraboloids, cylinders, cones, hyperboloids of one sheet: 0:41 - Solution: Recall equation of a hyperbolic paraboloid: 1:30 - Recall parametric equations of a line: 2:49 - Plugging in first line equation into hyperboloid paraboloid: 4:00 - Plugging in second line equation: 7:01 - Two sets of lines on the hyperboloid paraboloid in vector form: 9:46 - Graphing in GeoGebra: 12:01 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 . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I model the Earth as an ellipsoid as used by the World Geodetic System of 1984 (WGS-84) since it is a more accurate model than a sphere. The Earth is not perfectly spherical but instead is more squished vertically by about 21.6 km: the distance from the center to the Poles is 6356.523 km while the distance to the equator is larger at 6378.137 km. The parallels or circular lines of equal latitude are the horizontal circular traces of the ellipsoid. The meridians or elliptical lines of equal longitude are the vertical elliptical traces of the ellipsoid. I plot this all out using GeoGebra's 3D and 2D graphing calculators (the 2D traces turn into cylinders in 3D so I had to also use the 2D graphing calculator). GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec GeoGebra 2D graphing calculator: https://www.geogebra.org/calculator/hte4yr46 Time stamps: - Exercise 1: Modeling Earth as an Ellipsoid: 0:00 - Solution to (a): Earth's Ellipsoid Equation: 1:09 - Solution to (b): Parallels or Circular Lines of Equal Latitude: 6:26 - Note: Using GeoGebra's 2D (not 3D) calculator to plot 2D circles: 10:37 - Solution to (c): Meridians or Elliptical Lines of Equal Longitude: 11:58 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 . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over Question 4 of the Laboratory Project: Taylor Polynomials and this time go over an example on approximating a square root function using the quadratic approximation notation from Question 3. The function I approximate is (x + 3)^(1/2) which is also the same function I approximated using linear approximation several years ago. Using the notation from Question 1, using (x – a) and at values near a = 1, I show that the quadratic approximation is better than the linear approximation, again as expected. I graph the function as well as the linear and quadratic approximations, as well as develop a spreadsheet to show that near or far from x = a = 1, the quadratic approximation is more accurate than the linear. This is a very good example to get a firm grip on the quadratic approximation method, which as I will show in later parts of this project, is the basis of higher order approximations known as Taylor Polynomials; so make sure to watch this video! Video notes and playlist: - PDF notes: https://1drv.ms/b/s!As32ynv0LoaIh45-at7nZj17TkNC9A - Excel File: https://1drv.ms/x/s!As32ynv0LoaIh45_mdeGmW3eOH4DKQ - HIVE notes: https://peakd.com/mathematics/@mes/laboratory-project-taylor-polynomials-question-4-approximating-square-roots - Laboratory Project playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0GMTZJWnswRe2BYAL-Y2CeB Related Videos: Laboratory Project: Taylor Polynomials: Question 3: (x - a) Approximation Form: https://youtu.be/V_u_SHVbTdc Laboratory Project: Taylor Polynomials: Question 2: Approximation Accuracy: https://youtu.be/MRSs0Qofd_M Laboratory Project: Taylor Polynomials: Question 1: Quadratic Approximation: https://youtu.be/8bpF3vccvEU Taylor Polynomials - Introduction and Derivation: http://youtu.be/p2EkXwkbflk Linear Approximation - Introduction and Examples: http://youtu.be/bXEK8bkWTtM Differentials Notation in Linear Approximation: http://youtu.be/s0adatWiZg4 Newton's Method of Linear Approximation - Introduction: http://youtu.be/aT4b_5l50RI . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

FractalWoman joins the show to discuss all things electromagnetism, ferrocells, blackholes, aether, quantum mechanics, fractals, NFTs, and her many ground-breaking discoveries! November 11, 2023 (SATURDAY) at 1 PM PST / 4 PM EST / 10 PM CAT FractalWoman's links: - YouTube: https://www.youtube.com/@FractalWoman/ - Website: https://fractalwoman.com/ - ResearchGate: https://www.researchgate.net/profile/Lori-Gardi - Twitter: https://twitter.com/theomparticle - ITcoin: https://fractalwoman.com/ITcoin/ - Buddhabrot: https://en.wikipedia.org/wiki/Buddhabrot Stream notes and playlist: - Stream notes and links: https://peakd.com/hive-128780/@mes/livestream-10 - MES Livestreams: https://www.youtube.com/@mes/streams - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

This is another video on soil mechanics and the Simplified Filter Criterion is discussed and explained through a simple design of a filter used for the core material of a dam. Gradation curves, log scales and various other soil mechanics phenomenon are touched in this video but stay tuned for later videos as I will go in depth and in greater detail for those topics. Video notes and playlist: - PDF: https://1drv.ms/b/s!As32ynv0LoaIiuhksxrTy4Qv3VXAxA - HIVE notes: https://peakd.com/hive-128780/@mes/soil-mechanics-dam-filter-example - Soil Mechanics playlist: https://www.youtube.com/playlist?list=PL05F1D41EEDB38EF1 Related Videos: Types of Tailings Embankments: Upstream, Downstream and Centerline Construction Methods: http://youtu.be/1wm1XR6z-QE Soil Mechanics 101 - Phase Relations: http://youtu.be/DtKheQcL2BU . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In #MESExperiments 35 I demonstrate Faraday's Paradox by showing that iron filings behave the same whether a magnet is rotating about its polar axis or not rotating at all. This suggests that the magnetic field does not rotate along this axis. Traditionally, Faraday's Paradox is demonstrated by a permenant magnet and a copper disc connected to a voltage (electric pressure) reading. It is based on Faraday's Law of Induction describing how a magnetic field will interact with an electric circuit to produce an electromotive force (EMF). The paradox is described below: 1. Rotating the copper disk generates a voltage reading. 2. Rotating the magnet does not generate a voltage reading (contrary to Faraday's Law). 3. Rotating both the copper disk and magnet generates a voltage reading (contrary to Faraday's Law). This is paradoxical under the theory that the magnet emits magnetic field lines and that EMF is generated whenever the copper disk cuts through these lines. Thus any relative motion between the copper disk and magnet should obtain a voltage reading. My experiment suggests that the magnet is not emitting an magnet field but rather that there exists another substance (the Aether) that the magnet is interacting with. Also in this video, I show that rotating the magnet perpendicular to its polar axis can rotate or horizontally translate the iron filings. Pretty epic stuff! Original video and more links, including FractalWoman's Magnetic Isopotentials explanation for Faraday's Paradox: - Unedited Draft video: https://youtu.be/hotOO9bwrrA - Faraday's Paradox wiki: https://en.wikipedia.org/wiki/Faraday_paradox - Faraday's Law: https://en.wikipedia.org/wiki/Faraday%27s_law_of_induction - MES Livestream 10 with FractalWoman: https://www.youtube.com/live/U6d0Err8tjU?t=4715 - Magnetic Isopotentials and the Faraday Paradox: https://youtu.be/sJ0izpaKmFU - Faraday Paradox (not a paradox) Explained: https://youtu.be/pdk82DmfsMQ - Mainstream science has no agreement on whether magnetic field rotates with a magnet or not: https://youtu.be/_cUXNwp2Ock and https://www.nature.com/articles/s41598-022-21155-x Timestamps: - Iron filings, magnet, and electric drill: 0:00 - Iron filings move when paper or magnet is moved: 0:17 - Rotating magnet when polarity is the same has no effect on iron filings: 0:38 - Iron filings behave the same whether magnet is rotating or not: 0:49 - Additional Experiments: 1:01 - Placing magnet on its diameter to drill: 1:11 - Rotating magnet rotates iron filings in direction of rotation: 1:22 - Rotating magnet parallel to iron filings moves them horizontally: 1:34 Stay tuned for #MESExperiments 36... View experiment screenshots and more experiments below: - Screenshots of the Experiment: https://peakd.com/hive-128780/@mes/jaezbche - #MESExperiments video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0HUHoank-Lj9q6RGAS51QRh - Hive playlist: https://peakd.com/mesexperiments/@mes/list - DRAFT #MESExperiments video series: https://mes.fm/experiments-draft Related Videos: #MESScience video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0GhjCHmTw1XbqMD_EdVKdd9 #AntiGravity video series: https://peakd.com/antigravity/@mes/series #FreeEnergy video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FKVpHL_onhaqBeVP-8qJXV . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over a quick overview of some of the many applications of quadric surfaces. From the shape of the Earth being an ellipsoid, satellite dishes being paraboloids, to nuclear power plants being hyperboloids, applications of quadric surfaces are boundless! GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec Time stamps: - Applications of quadric surfaces: Earth as an ellipsoid: 0:00 - Radio Telescopes use circular paraboloids to direct parallel rays to the focus: 0:23 - Car headlights also use paraboloid reflectors: 1:47 - Light telescopes use paraboloid lens: 2:34 - Microphones and satellite dishes also use paraboloids: 3:10 - Nuclear power plant cooling towers are hyperboloids of one sheet: 3:46 - Pairs of hyperboloid transmission gears transmit rotational motion: 4:13 - Video of hyperboloidal gears: https://youtu.be/FciC17mNu_I: 4:56 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 . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I graph a shifted and horizontal elliptic paraboloid, which is a quadric surface that opens up along parabolic traces while the cross-section has elliptical traces. This is the same shape as in my earlier video but this time the elliptic paraboloid is shifted so that the origin is (3, 1, 0) and opens horizontally parallel to the y-axis. GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec Time stamps: - Example 8: Shifted Elliptic Paraboloid: 0:00 - Solution: Completing the square: 0:20 - Comparing equation with Table 1: 4:53 - Elliptic paraboloid is shifted and parallel to y-axis: 6:55 - Vertical traces in y = k plane are ellipses: 7:17 - Horizontal traces (and vertical x = k plane) are parabolas: 8:17 - Sketching the elliptic paraboloid: 9:39 - Graphing in GeoGebra: 11:09 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 . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I sketch a hyperboloid of two sheets, which is a quadric surface with horizontal traces being hyperbolas while vertical traces are comprised of both hyperbolas and ellipses. There are no vertical traces in the xz-plane thus the quadric surface is split into two sheets, hence the name: Hyperboloid of Two Sheets. GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec Time stamps: - Example 7: Hyperboloid of Two Sheets: 0:00 - Solution: Re-arranging equation into standard form: 0:17 - Comparing equation with hyperboloid of two sheets from Table 1: 1:56 - Traces in xy and yz-planes are hyperbolas: 2:09 - Traces in y = k planes are ellipses: 3:41 - No traces in the xz-plane: 5:57 - Re-writing y = k traces equation: 6:44 - Sketching the graph using traces: 7:48 - Graphing in GeoGebra: 10:55 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 . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over a table of 6 basic quadric surfaces with computer-drawn graphs: ellipsoid, elliptic paraboloid, hyperbolic paraboloid, cone, hyperboloid of one sheet, and a hyperboloid of two sheets. I also discuss their formulas and what happens when the variables change. All the shown graphs are symmetric about the z-axis but the equations can be modified to make it symmetric about a different axis. I have plotted all these surfaces on the GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec Computers typically draw these surfaces by using 2D traces along vertical planes spaced at even intervals. Parts of the graph (those in the background) are then removed using hidden line removal techniques: https://youtu.be/JS1bbyvdhsA Time stamps: - Computer-Drawn Graphs of Quadric Surfaces: 0:00 - Table 1: Six Basic Quadric Surfaces 0:37 - Ellipsoid: 1:04 - Elliptic Paraboloid: 1:30 - Hyperbolic Paraboloid: 2:00 - Cone: 3:08 - Hyperboloid of One Sheet: 4:20 - Hyperboloid of Two Sheets: 4:50 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 . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I graph a Hyperboloid of One Sheet, which has horizontal traces being ellipses and vertical traces being hyperbolas. This quadric surface is made up of one sheet, which means there is no separation into two parts as are usually typical when dealing with hyperbolas. I will go over the Hyperboloid of Two Sheets in a later video. GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec Time stamps: - Example 6: Hyperboloid of One Sheet: 0:00 - Solution: Horizontal traces are ellipses: 0:15 - Vertical traces are hyperbolas: 0:56 - Sketching the Hyperboloid of One Sheet: 1:56 - Better graph from my Calculus book: 5:13 - Graphing in GeoGebra: 5:36 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 . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over Question 5 of the Laboratory Project: Taylor Polynomials and this time derive the general formula for an n-th degree Taylor Polynomial approximating the function f(x) and centered about x = a. In the previous parts of this series, I went over linear and quadratic approximations, but these are in fact still technically Taylor Polynomials but with degrees 1 and 2, respectively. The Taylor Polynomial formula can thus be viewed as a more generalized polynomial approximation to a function centered about a point. In this video I show that when we take the starting point of the quadratic approximation formula and then extend it to include n constants, we can then start to see a pattern when we enforce the conditions that the approximation and its derivatives at the value of x = a is set to be equal to the function we are approximating, and its derivatives, again at x = a. This pattern is such that the general k-th constant is equal to the k-th derivative of f(x) at x = a divided by k factorial (k!). Thus if we want to obtain a higher order polynomial approximation we can simply add more terms and determine the resulting constants from the derivatives of the function we are approximating. This is a very good video in understanding how we can derive formulas through pattern recognition as well as in understanding one of the most useful methods of approximating complicated functions, the Taylor Polynomial; so make sure to watch this video! Video notes and playlist: - PDF notes: https://1drv.ms/b/s!As32ynv0LoaIh48ZZpMnLhcVNwO7rg - HIVE notes: https://peakd.com/mathematics/@mes/laboratory-project-taylor-polynomials-question-5-proof - Laboratory Project: Taylor Polynomials playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0GMTZJWnswRe2BYAL-Y2CeB Related Videos: Laboratory Project: Taylor Polynomials: Question 4: Approximating Square Roots: https://youtu.be/IFtudCiIe5s Laboratory Project: Taylor Polynomials: Question 3: (x - a) Approximation Form: https://youtu.be/V_u_SHVbTdc Laboratory Project: Taylor Polynomials: Question 2: Approximation Accuracy: https://youtu.be/MRSs0Qofd_M Laboratory Project: Taylor Polynomials: Question 1: Quadratic Approximation: https://youtu.be/8bpF3vccvEU Taylor Polynomials - Introduction and Derivation: http://youtu.be/p2EkXwkbflk Linear Approximation - Introduction and Examples: http://youtu.be/bXEK8bkWTtM Differentials Notation in Linear Approximation: http://youtu.be/s0adatWiZg4 Newton's Method of Linear Approximation - Introduction: http://youtu.be/aT4b_5l50RI Factorials - i.e. 4! = 4*3*2*1 = 24: http://youtu.be/SWnrhDOLQgA . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I graph a hyperbolic paraboloid, which is a surface that has vertical traces being parabolas, and horizontal traces being hyperbolas. After first obtaining the traces in 2D, I draw them out in 3D, and then combine them all together to form what looks like a horse's saddle. I also graph the hyperbolic paraboloid using the GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec Time stamps: - Example 5: Hyperbolic Paraboloid: 0:00 - Solution: Obtaining the traces: 0:10 - Drawing the family of traces: 1:41 - Vertical parabolas in x = k planes: 1:57 - Vertical parabolas in y = k planes: 5:50 - Horizontal hyperbolas in z = k planes: 9:08 - Better graphs from my Calculus book: 16:02 - Fitting traces together to form a Hyperbolic Paraboloid: 17:30 - Better graph from Calculus book: 20:06 - Graphing in GeoGebra: 20:17 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 . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

Friend and fellow freedom activist Allen Forrest joins the show. Allen, going with the online alias artgrafiken, is a painter, cartoonist, filmmaker, and overall great artist. He began making CoronaToons to depict the COVID madness through satirical cartoons, and today he shares his journey! Allen Forrest's links: - PeakD: https://peakd.com/@artgrafiken - Dissident Voice: https://dissidentvoice.org/author/allenforrest - Minds: https://www.minds.com/artgrafiken - Odysee: https://odysee.com/@artgrafiken:f Stream notes and playlist: - Stream notes and links: https://peakd.com/hive-106474/@mes/mes-livestream-9-freedom-activist-allen-forrest-joins-the-show - MES Livestreams: https://www.youtube.com/@mes/streams - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I graph an elliptic paraboloid in 3D both manually as well as using the GeoGebra 3D graphing calculator. An elliptic paraboloid has vertical traces being parabolas and horizontal traces being ellipses. GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec Time stamps: - Example 4: Elliptic Paraboloid: 0:00 - Solution: Vertical traces are parabolas: 0:15 - Horizontal traces are ellipses: 1:27 - Manually sketching the graph: 2:08 - Better graph from my Calculus book: 6:33 - Graphing in GeoGebra: 6:46 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 . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I graph the Ellipsoid quadric surface, whose vertical and horizontal traces are all ellipses. This means that if you cut through the ellipsoid from any angle, the 2D trace will always be an ellipse. I graph the Ellipsoid both manually as well as using the GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec Time stamps: - Example 3: Ellipsoid: 0:00 - Solution: - Horizontal traces are ellipses: 0:16 - Right side needs to be positive: 2:24 - Rewriting equation to show its an Ellipse: 3:41 - Vertical traces are ellipses: 5:28 - Drawing the Ellipsoid with traces: 6:55 - Graphing in GeoGebra: 10:18 - Symmetry due to even powers: 11:31 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 . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video i go over a quick introduction to 3D Quadric Surfaces and recap on their 2D counterparts, Conic Sections. A quadric surface is the 3D graph of a second-degree equation in three variables x, y, and z. I illustrate the most general equation as well as two standard forms that be obtained by rotation and translation (and lots of algebra via completing the square). Quadric surfaces have 2D counterparts in conic sections, which I have listed below. Ellipsoid vs Ellipse Paraboloid vs parabola Hyperboloid vs hyperbola I also go over a recap on the equations and graphs of conic sections. GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec Time stamps: - Quadric Surfaces have second-degree equations: 0:00 - General equation: 0:15 - Two Standard Form equations: 1:33 - Recap on conic sections: 3:08 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 . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I show how to graph vertical and horizontal circular cylinders in 3 dimensions. The first example is the vertical cylinder with equation x^2 + y^2 = 1. This is just the equation of a circle with radius 1, but since z is not present, the circle extended along the z-axis vertically. The second example is the horizontal cylinder y^2 + z^2 = 1. This again is just the equation of a circle of radius 1 but along the yz-plane. Since the x-axis is not present this means the circle gets extended horizontally along the x-axis. I graph these cylinders manually as well as with the GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec Time stamps: - Example 2: Circular Cylinders: 0:00 - (a) Vertical Cylinder: 0:20 - Graphing in GeoGebra: 3:43 - (b) Horizontal Cylinder: 4:12 - Graphing in GeoGebra: 6:29 - Note: 3D Surfaces vs 2D Traces: 7:07 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 . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

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^2. 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 . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In #FreeEnergy Part 3 I go over another extensive research video and this time review more closely into atomic physics, the properties of atoms, and their behavior in many natural phenomena and applications. I was originally researching into Pons and Fleischmann’s potentially ground breaking Cold Fusion 1989 paper, but I quickly realized that the background information needed to fully understand their experiment, and electrochemistry in general, required that I undergo an extensive research review of many aspects of mainstream science before I can adequately tackle #FreeEnergy suppressed technology and science. Thus in this video I cover further research into many aspects related to atomic physics and energy in general, and some of those topics covered are listed below: - Atoms and Atomic Structure - Chemical Bonds: Covalent, Ionic, and Van der Waals Forces - Electromagnetic and Nuclear Forces - Electric Conductors, Insulators, and Polarity - Cathode Rays, Vacuum Tubes, and Photoelectric Effect - Thermal Radiation, Incandescence, and more. - Semiconductors and Superconductors - Condensed Matter Physics and Solid State Physics - Alpha Particles, Radioactive Isotopes, Ionizing Radiation - Hydrogen Isotopes - Bohr Model, Electric Cloud, Atomic Orbitals - Intermolecular vs Intramolecular Forces - Subatomic Particles, Quantum State, Quantum System, and Energy Levels, - Atomic Spectral/Emission Lines, Absorption Bands, and Valency - Bose-Einstein Condensate, Quantum Tunneling, and Exotic Atoms - Universe, Galaxies, Milky Way Galaxy, Solar System, Planets, and Asteroid Belt, - Muons, Quarks, Leptons, and Particle Decay - Muon-Catalyzed Fusion and Disinfo Agent Steven E. Jones… And yes you heard it right, the last part that I cover in this video is Muon-Catalyzed Fusion and how THE Steven E. Jones worked heavily in this topic while working at Los Alamos Laboratory, the same place where the Atomic Bomb was created. That is the same Steven E. Jones behind both the coverup of Cold Fusion in the late 80s early 90s, as well as using the “Thermite” nonsense to coverup 9/11 Directed #FreeEnergy Technology! So it’s fitting that Jones just has to make an appearance… Anyways, this is another extremely extensive video in which I am self-learning anything and everything that might be necessary to develop #FreeEnergy. In later parts I will be going over many more topics, such as Magnetism and Electricity to name a few, so make sure to follow along because this series will definitely open your understanding of the reality being hidden from us! Stay Tuned for #FreeEnergy Part 4… - PDF video notes: https://1drv.ms/b/s!As32ynv0LoaIh48nlnM9kSmPjk6pdg #HIVE video notes: https://peakd.com/freeenergy/@mes/freeenergy-part-3-atomic-physics-properties-behavior-overview-more - #FreeEnergy Video Series: https://mes.fm/freeenergy-playlist - #911Truth Video Series: https://peakd.com/truth/@mes/911 Related Videos: ⚡#FreeEnergy Part 2: Nuclear Physics Overview + Cold Fusion + MORE: https://youtu.be/wMB5xmONX58 ✈️#911Truth Part 6: Controlled Opposition: 'Mini Nukes', 'Building 7', AE911Truth Hoax: https://youtu.be/aDWgsVSo4Oc . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

Join me as I cover a variety of topics, while wearing a pretty scary costume too. Stream notes and playlist: - Stream notes and links: View the Stream notes and links: https://peakd.com/hive-106474/@mes/livestream-8 - MES Livestreams: https://www.youtube.com/@mes/streams - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I explore the wonderful world of cylinders and quadric surfaces. Cylinders are 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 curve. Quadric surfaces are the graphs of a second-degree equation in three variables x, y, and z. Unlike quadric surfaces, cylinders have 1 of the x, y, or z variables missing from its equation. This makes the cylinder extend outwards along the missing variable. I also go over some exercises and show that the Earth can be more accurately modeled as an ellipsoid, which is a type of quadric surface. This section is part of the Vectors and Geometry of Space chapter in my Calculus book. The topics covered as well as their timestamps are listed below. - Intro: 0:00 - Calculus Book Reference: 0:50 - Sections in Calculus Book Chapter: 1:03 - Topics to Cover: 1:49 1. Cylinders and Quadric Surfaces: 3:22 2. Cylinders: 5:10 - Example 1: Parabolic Cylinder: 5:28 - Example 2: Circular Cylinders: 10:31 - (a) Vertical Cylinder: 10:44 - (b) Horizontal Cylinder: 14:45 - Note: 3D Surfaces vs 2D Traces: 17:40 3. Quadric Surfaces: 18:54 - Example 3: Ellipsoid: 24:23 - Example 4: Elliptic Paraboloid: 37:25 - Example 5: Hyperbolic Paraboloid: 45:01 - Example 6: Hyperboloid of One Sheet: 1:06:03 - Computer-Drawn Graphs of Quadric Surfaces: 1:12:19 - Table 1: Graphs of Quadric Surfaces: 1:12:57 - Example 7: Hyperboloid of Two Sheets: 1:18:13 - Example 8: Elliptic Paraboloid: 1:29:36 - Applications of Quadric Surfaces: 1:41:25 4. Exercises - Exercise 1: Modeling Earth as an Ellipsoid: 1:46:54 - (a) Earth's Ellipsoid Equation: 1:48:06 - (b) Parallels or Circular Lines of Equal Latitude: 1:53:24 - (c) Meridians or Elliptical Lines of Equal Longitude: 1:58:56 - Exercise 2: Hyperbolic Paraboloid Generated from Lines: 2:05:51 - Outro: 2:21:43 Video notes and playlists: - PDF notes: https://1drv.ms/b/s!As32ynv0LoaIiuEh0Jh0kNq5HCbRSg - HIVE notes: https://peakd.com/hive-128780/@mes/cylinders-and-quadric-surfaces - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EfmYwT81SebJnU1Ny8Fc5u - Full Vectors and the Geometry of Space series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I have uploaded the 7th and final song titled "Falling Down" of the music album 1109 by Keor Meteor. This song focuses on the Twin Towers getting struck by "planes" and then falling down into dust. The original album and more links are listed below: - Original Album: https://keormeteor1.bandcamp.com/album/1109 - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FUd8p-bzqCVSDd6gOcHcDr - Keor was inspired by my 9/11 Truth series: https://t.me/meslinks/22610 - Video thumbnail: https://www.flickr.com/photos/117310459@N03/52582223929/in/photostream/ Timestamps and footage used are listed below: - CNN Breaking News intro: https://youtu.be/Xdu1uHuyLf0: 0:00 - CNN Breaking News on 9/11: https://youtu.be/4iwlFFM3DDQ: 0:03 - MSNBC emergency phone call from the Top Floors of the Towers: https://youtu.be/zx8_Pumdkpg: 0:14 - ABC News caller Don Dahler says South Tower "folded down on itself": 0:22 - First "plane" strikes WTC 1 North Tower at 8;46 AM: https://youtu.be/1R190c0Tpks: 0:50 - North Tower turning to dust (45X speed): 1:25 - Second "plane" strikes WTC 2 South Tower at 9;02 AM: 1:47 - Both Twin Towers turning to dust (45X speed): 2:05 - Twin Towers turning to dust (180X speed): 2:09 - Twin Towers turning to dust (45X speed): 2:21 - South Tower falls into dust at 9;59 AM: 2:44 Related Videos: - #911Truth video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EzqTamtIXtgX8QudQSxuxh - Uncensored playlist: https://peakd.com/truth/@mes/911 - 9/11 Observable Evidence video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0G_HHWt33moIqEeUBP3cgCh . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over Question 6 of the Laboratory Project: Taylor Polynomials and this time look at an example on how to apply Taylor Polynomials to approximate the function f(x) = cos(x) centered at x = a = 0. This example involves determining the 8th degree polynomial and comparing it graphically with the 2nd, 4th, and 6th degree approximations. The first step in solving for the 8th degree Taylor Approximation is to take the derivatives up to the 8th derivative and solve each one for when x = a = 0. Doing so we can clearly see a pattern since the derivatives of cos(x) involve alternating sin(x) and cos(x) functions but with varying positive or negative signs. Since sin(0) = 0, I show that the odd terms, given the first term is considered even or zero, all vanish thus greatly simplifying the final formula. The 2nd, 4th, and 6th Taylor Approximations are all simply determined from the 8th degree Taylor Approximation since each successive iteration just adds a new term to the formula. Graphing the approximations all together with the function f(x) = cos(x) and centered about x = a = 0, I show that the approximations gets better and better for each successive iteration especially as the interval gets larger and larger. This is a very careful and detailed video showing how to approach and apply Taylor Polynomials in approximating a given function, so make sure to watch this video! Video notes and playlist: - PDF notes: https://1drv.ms/b/s!As32ynv0LoaIh49wGMItOOnDiBSnBg - HIVE notes: https://peakd.com/mathematics/@mes/laboratory-project-taylor-polynomials-question-6-example - Laboratory Project playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0GMTZJWnswRe2BYAL-Y2CeB Related Videos: Laboratory Project: Taylor Polynomials: Question 5: Proof: https://youtu.be/KjhQfwx6Jzw Laboratory Project: Taylor Polynomials: Question 4: Approximating Square Roots: https://youtu.be/IFtudCiIe5s Laboratory Project: Taylor Polynomials: Question 3: (x - a) Approximation Form: https://youtu.be/V_u_SHVbTdc Laboratory Project: Taylor Polynomials: Question 2: Approximation Accuracy: https://youtu.be/MRSs0Qofd_M Laboratory Project: Taylor Polynomials: Question 1: Quadratic Approximation: https://youtu.be/8bpF3vccvEU . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps