Math Easy Solutions

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

I have assembled a LEGENDARY crew of real 9/11 Truthers: 9/11 Revisionist, RealityAXIS, Field Interference, Italian 9/11 guy, and yours truly, MES. Join us as we dissect the 2 Levels of 9/11 coverup. As usual, I had audio issues, and they get fixed at 2:01. Subscribe to their channels: - 9/11 Revisionist @911Revisited01 : https://www.youtube.com/@911Revisited01 - RealityAXIS @realityAXIS : https://www.youtube.com/@realityaxis - Field Interference @fieldinterference : https://www.youtube.com/@fieldinterference - Italian 9/11 guy: https://11settembre-drjudywood.blogspot.com/ Stream notes and playlist: - Stream notes and links: https://peakd.com/hive-113182/@mes/livestream-7 - 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 go over how to manually calculate powers 10^0.1, 10^0.2, 10^0.3, ..., 10^0.9 by hand by first using the approximation 10^0.3 = 2. Calculating such powers by hand directly in the same way for multiplication and long division is not possible and requires the use of logarithms or Taylor series. Nonetheless, we can manually approximate such powers by realizing that 10^0.03 is approximately equal to 2 (with an error of -0.24%). This means we can approximate multiples of 10^0.03 by multiplying by 2. For example 10^0.06 is approximately equal to 4. Note that the error becomes double because we multiplied by 2. To get powers such as 10^0.1, we can multiply 10^(0.03 * 7) = 10^2.1 ≈ 2^7 = 128. Then we can divide both sides by 10^2 = 100 to get an approximation 10^0.1 ≈ 1.28. Applying the correction of 7*0.24% we obtain 10^0.1 ≈ 1.2585 which is very close to the actual number 1.2589. Video inspiration and calculations obtained from the links below: - Art of Memory article: https://forum.artofmemory.com/t/calculating-10-0-1-0-2-0-3-etc/29957 - OmegaKlass video request: https://www.bitchute.com/video/9tSG173RqQEC/ Timestamps: - Intro: 0:00 - Video request by OmegaKlass: 0:38 - Calculating 10^0.01 by hand: 1:06 - 10^0.3 is approximately equal to 2: 2:28 - 10^0.3 = a number multiplied by itself 10 times equals 1000: 3:13 - Error of 0.24%: 6:30 - Approximating multiples of 10^0.3: 7:17 - Divide by powers of 10 to obtain more powers: 8:53 - Summarizing our simple approximations: 16:54 - Note the pattern: Find multiple of 3 that ends with desired power: 18:34 - Applying the correction (note my voice is when I was sick): 22:10 - Table comparison of approximation and actual values: 27:41 - Outro: 30:01 Video notes and playlist: - PDF notes: https://1drv.ms/b/s!As32ynv0LoaIitoplA_8nRHntU8KSw - HIVE notes: https://peakd.com/hive-128780/@mes/calculating-10-01-by-hand - Calculating by Hand playlist: https://www.youtube.com/playlist?list=PL0919AEF28CB3D765 . ------------------------------------------------------ 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 6th song titled "Osama" of the music album 1109 by Keor Meteor. This song outlines the role that CIA agent and patsy Osama bin Laden as a perennial "boogeyman" which the US can blame for anything and everything. Legendary radio broadcaster William "Bill" Cooper was the first to see through this farce, and Vice President Dick Cheney said the truth for the first time in his life. After Osama's (alleged) death, all criminal charges were dropped regarding 9/11 (of which he obviously had nothing to do with it) thus making him never formally charged and certainly not convicted even by mainstream standards. 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 Timestamps and footage used are listed below: - William "Bill" Cooper 9/11 prediction: https://youtu.be/qPW_W_z6ovw: 0:00 - Vice President says Osama bin Laden was not involved in 9/11: 0:47 - US Government dismisses all charges against Osama after his death: 1:36 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 show that the Great Pyramid of Giza has encoded within its geometry an approximation for squaring the circle by length. Squaring the circle involves constructing a square via a finite number of steps with only a straight edge and compass such that the square as the same area or perimeter / circumference as a given circle. The Giza Pyramid encodes this geometry in the slope of its middle cross section. Drawing 2 pyramids in mirror images of each other and setting the base length to 1 yields a square with a perimeter of 4 and a circle that is approximately 4. This is quite remarkable, and in my view is likely intentionally designed this way! Pretty remarkable stuff! Video links: - MES Links: https://mes.fm/links - YouTube playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0HIzqSVzEURzhMphO9ePJ22 - Pi, e, and Golden Ratio: https://t.me/meslinks/22693 - 180 degrees in triangle: https://youtu.be/4bI3BXIe2k8 - Additional Calculations are just basic Trigonometry: https://en.wikipedia.org/wiki/Trigonometric_functions - Great Pyramid of Giza Wiki: https://en.wikipedia.org/wiki/Great_Pyramid_of_Giza - Mathematical Encoding in the Great Pyramid: https://www.ancient-origins.net/ancient-places-africa-opinion-guest-authors/mathematical-encoding-great-pyramid-002323 - GeoGebra 3D Graphing Calculator: https://www.geogebra.org/3d/wcb9fjwk - Giza Pyramid Sketchup file: https://app.sketchup.com/share/tc/northAmerica/hijBGHtUtjM?stoken=OwuxUSgVknsEJc7AQG96CjwY2DCAadxNKgNsDXn7sTgIONxVngVbY3FeU4yeHzqm&source=web - Giza Pyramid Comparison with WTC and Other Objects: https://app.sketchup.com/share/tc/northAmerica/RiAsZfrS5yw?stoken=cCX15IvybCIgUrwQw5F8dgUCura00Jz5iZtNKc4f-EFo3m3mRRpNPb94lbdtoGIL&source=web - Note that I couldn't get the Pyramid EXACTLY to scale, but it is close enough. - MES Excel file: https://1drv.ms/x/s!As32ynv0LoaIitdGbCzJWO6idv8pTg - Circumference of a circle = pi * diameter = 2 pi * radius: https://en.wikipedia.org/wiki/Circumference - GeoGebra Giza Pyramid 2D: https://www.geogebra.org/calculator/qkrmhcz3 - Squaring the Circle wiki: https://en.wikipedia.org/wiki/Squaring_the_circle - Straight Edge and Compass: https://en.wikipedia.org/wiki/Straightedge_and_compass_construction - Transcendental Numbers: https://youtu.be/TN1K7unzN2k - Rational Numbers: https://en.wikipedia.org/wiki/Rational_number Timestamps: - Intro and Links: 0:00 - MES Links and playlist: 2:04 - Recap on previous video: 2:32 - Triangle angles sum to 180 degrees: 3:21 - Trigonometry recap: 3:51 - Squaring the circle by length from Ancient Origins website: 6:14 - GeoGebra 3D graphing calculator: 7:19 - Sketchup 3D models of the Giza Pyramids: 7:55 - Sketchup comparison between Giza Pyramid and WTC: 8:42 - MES Excel File: 10:25 - Circumference of a circle: 11:57 - GeoGebra 2D graphing calculator: 12:08 - Squaring Circle wiki: 13:13 - Compass and Straight Edge: 13:30 - Pi is a transcendental number: 14:19 - Rational number: 14:45 - Outro: Likely intentional by the Giza builders: 15:52 . ------------------------------------------------------ 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 Slant Asymptotes as well as the special case of finding Slant Asymptotes of Rational Functions through Polynomial Long Division. I actually briefly covered Slant asymptotes in my earlier video, so please ignore my statement in the video in which I said I should have covered this a long time ago, nonetheless I didn’t actually prove the special case in my earlier video. A slant asymptote is just that, an asymptote that is slanted, which is to say neither vertical nor horizontal. In other words a slanted asymptote is a linear function, and a function is said to have an slanted asymptote if it approaches the slanted line as x approaches positive or negative infinity. We can write this mathematically as the limit as x approaches infinity of the DIFFERENCE between the function and a linear function is equal to 0; i.e. the function is approaching the same value of the linear function. The special case for slant asymptotes occurs for Rational Functions in which the degree (or highest power) of the numerator is ONE MORE than the degree of the denominator. Recall that a rational function is a division of two polynomials on the domain that the denominator is not equal to zero. Thus when we use polynomial long division to divide out these two polynomials, I show that we end up with a quotient that is in fact a linear function, i.e. has a degree of 1. And combined with the fact that the remainder has a degree less than the divisor or denominator, as shown by Euclidean Division for Polynomials, then the difference between the function and the linear quotient is simply equal to the remainder divided by the denominator. Now the limit of the latter, as I show in the video, is equal to 0 because the higher power denominator approaches infinity “faster” than the remainder thus obtaining a 1 divided by infinity scenario, i.e. approaches 0. And this proves the special case and the quotient is the linear function which is the slant asymptote. This is a very detailed video into slant asymptotes, especially the derivation of the special case, so make sure to watch this video! Video Notes and Playlist: - PDF notes: https://1drv.ms/b/s!As32ynv0LoaIh5AAP5jQxzqGnaj_ww - HIVE notes: https://peakd.com/mathematics/@mes/slant-asymptote-lines-special-case-rational-functions-and-long-division - Slant Asymptotes playlist: https://www.youtube.com/playlist?list=PLA196AE9726C3DC6A Related Videos: Euclidean Division of Polynomials: Theorem and Proof: https://youtu.be/ONxn17okl5c Polynomial Long Division - In depth Look on why it works!: http://youtu.be/E1H584xJS_Y Rational and Algebraic Functions - A Brief Explanation: http://youtu.be/4mvNTeXEW-k Slant Asymptotes - Guidelines to Curve Sketching: http://youtu.be/1pk9ZPPyXGo Rational and Algebraic Functions - A Brief Explanation: http://youtu.be/4mvNTeXEW-k Law of Exponents a^(x-y) = (a^x)/(a^y): http://youtu.be/djwpuNtmYJY . ------------------------------------------------------ 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 5th song titled "George Comedy Club" of the music album 1109 by Keor Meteor. This song focuses on the comedy club headlined by George W. Bush, and includes guests Donald J. Trump, Hillary Clinton, and John McCain. Sadly, most of the world can't see through the obvious comedy that is being played upon us... 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 Timestamps and footage used are listed below: - George Bush Press Club speech: https://youtu.be/yWD6pGQCwM8: 0:00 - They Live movie scene: https://youtu.be/OZNRbYxvYFE: 0:23 - Donald Trump Rally in Bluffton, South Carolina: https://youtu.be/7Pa4ZYaDEWk: 1:02 - George Bush Lying about WMDs: https://youtu.be/WGkSNAHqpJM: 1:31 - "Maybe under here": 1:51 - John McCain sings "Bomb Bomb Iran": 2:15 - Hillary Clinton: "We came, we saw, he died": 2:20 - Bill and Hillary Clinton at Trump's wedding: https://t.me/meslinks/21888: 2:30 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

Join me as I dive into past and current events which are all pointing to a (scripted) Third World War... Buckle up! Stream notes and playlist: - Stream notes and links: https://peakd.com/hive-106474/@mes/mes-livestream-6 - 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 show that if we have two infinite series whose sums are A and B, then a third series comprising of both terms multiplied by each other may not sum to AB. I show this by considering two convergent Geometric Series. The first series has terms (0.1)^n and the sum is 1/9. The second series has terms (0.2)^n and the sum is 1/4. Thus AB = 1/36. If we multiplied the terms of each series to form a new series we get a series with terms (0.02)^n. The sum of this new series, using the formula for the sum of a convergent Geometric Series, is 1/49. But this is not the same as the value AB = 1/36. Thus the answer to our question is False. Time stamps: - Question 22: 0:00 - Solution: False: 0:38 - Testing question with Geometric Series: 0:53 - First Series: Sum = A = 1/9: 1:25 - Second Series: Sum = B = 1/4: 2:56 - Sum of multiplication series = 1/49: 4:03 - Multiplying sums = AB = 1/36: 6:48 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: 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 uploaded the 4th song titled "Melted Vehicles" from the 1109 music album by Keor Meteor. This song focuses on the many toasted cars, trucks, and vehicles in general that underwent unconventional damage on 9/11. Many vehicles were melted, warped, distorted, burnt out, and even levitated. Some of the vehicles were blocks away from the World Trade Center (WTC) all while nearby trees and paper were undamaged. These toasted vehicles, along with the towers literally turning to dust, point towards exotic directed energy weaponry and the Hutchison Effect. 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 Timestamps and footage used are listed below: - Toasted cars on 9/11: https://t.me/meslinks/22360: 0:00 - The "What's it" car / truck: 0:46 - Dr. Judy Wood discusses evidence not theory: https://youtu.be/s-gIqMSc4lo: 1:12 - North Tower turning to dust: 1:30 - North Tower Spire core columns turning to dust: https://youtu.be/sX-1wz1V5gE: 1:49 - 9/11 WTC Vehicle Massacre: https://peakd.com/hive-113182/@mes/lazaqoat: 2:07 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 show that adding a finite number of terms to a convergent series will still be convergent. This is because a series has infinite number of terms so adding more finite terms is still infinity. Thus the solution to the question is True. Time stamps: - Question 21: 0:00 - Solution: True: 0:30 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: 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 that if a limit of a sequence is 2 then subtracting that same sequence from itself becomes 0 regardless if we start from n + 3 or n. This is because as n approaches infinity, then so does n + 3, that is infinity + 3 is STILL infinity. Thus substracting the two sequences cancel out and the answer is 0. And the answer to the question is True. Time stamps: - Question 20: 0:00 - Solution: True: 0:40 - Evaluating the limit: 1:45 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: 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 example on Slant Asymptote Lines and this time look again at the special case, which is a rational function in which the numerator has a degree just one higher than the denominator. The example I cover is determining the slant asymptote line of the function f(x) = x^3/(x^2+1). Since it is a rational function, i.e. a division of two polynomials, and with the numerator a degree of 3, which is one more than the numerator’s degree of 2, we can simply use polynomial long division because as illustrated in my earlier video, the quotient is the asymptote line, and in this case is y = x. Nonetheless, I prove that the quotient is in fact the linear asymptote by applying the definition of a slanted asymptote, which is the limit as x approaches infinite of the difference between f(x) and its linear or slanted asymptote must approach zero, which it in fact does in this case. Graphing the two functions, we can clearly see that f(x) approaches y = x on both the positive and negative infinity scales. This is a very good video into illustrating how to solve for slanted asymptotes for rational functions, so make sure to watch this video! Video notes and playlist: - PDF notes: https://1drv.ms/b/s!As32ynv0LoaIh5AbeYu6JJH5X3qtLw - HIVE notes: https://peakd.com/mathematics/@mes/slant-asymptote-lines-example-1-rational-function - Slant Asymptotes playlist: https://www.youtube.com/playlist?list=PLA196AE9726C3DC6A Related Videos: Slant Asymptote Lines + Special Case: Rational Functions and Long Division: https://youtu.be/QX2nfi5JtQs Euclidean Division of Polynomials: Theorem and Proof: https://youtu.be/ONxn17okl5c Polynomial Long Division - In depth Look on why it works!: http://youtu.be/E1H584xJS_Y Rational and Algebraic Functions - A Brief Explanation: http://youtu.be/4mvNTeXEW-k Slant Asymptotes - Guidelines to Curve Sketching: http://youtu.be/1pk9ZPPyXGo Rational and Algebraic Functions - A Brief Explanation: http://youtu.be/4mvNTeXEW-k Law of Exponents a^(x-y) = (a^x)/(a^y): http://youtu.be/djwpuNtmYJY . ------------------------------------------------------ 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 the number 0.99999.... can be written as a convergent geometric series whose sum is equal to 1. The number 0.99999... can be written as 0.9 + 0.09 + 0.009 + ... which can further be written as 0.9 + 0.9(0.1) + 0.9(0.1)^2 + ... which is just a geometric series. In our case, r = 0.1 and is less than 1, thus the geometric series is convergent and we can apply the formula for the sum, which is just 1. Thus the answer to the question is True: 0.99999 ... = 1. Fascinating stuff! Time stamps: - Question 19: 0:00 - Solution: True: Geometric Series 0:14 - Sum of a Convergent Geometric Series 3:04 - Sum of Geometric Series = 1: 5:00 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: 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 question that involves applying the Ratio Test to find that a series is convergent and thus the terms approach zero as n goes to infinity. If every term of a sequence is greater than zero, and the ratio of each next term to the current term is less than 1 as n approaches infinity, then this is merely the Ratio Test for a convergent series. Thus, if a series is convergent, its terms approach zero, and the answer to our question is True. Time stamps: - Question 18: 0:00 - Solution: True: 0:20 - Applying the Ratio Test: 0:56 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: 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

SPECIAL GUEST and LEGENDARY 9/11 Researcher Andrew Johnson joins the MES Livestream show to cover a variety of topics. Get your questions ready, and make sure they are good, because this show will sure to be epic as it will be informative! Andrew Johnson's links: - Website: https://www.checktheevidence.com - YouTube: https://www.youtube.com/user/checktheevidence - Odysee: https://odysee.com/@checktheevidence:0 Stream notes and playlist: - Stream notes and links: https://peakd.com/hive-113182/@mes/mes-livestream-5 - 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 #MESExperiments 34 I have uploaded a short clip of Eric Laithwaite from 1968 demonstrating some very interesting properties of permanent magnets that are difficult to explain with the simple magnetic pole model. The first experiment is the basic two "like-poles" repel each other demonstration. Afterwards, he places an unmagnetized steel piece between the magnets and they now attract to it instead of repel each other. The next experiment he places a second unmagnetized steel piece and this time the magnets repel each other while clinging on to one steel piece each. In the last two experiments, Eric places an unmagnetized steel plate and an unmagnetized steel ball next to the magnetic pole. The magnet attracts the ball, but when he pulls out the steel plate, it pulls the ball with it and away from the magnet! Finally, he places a piece of cardboard between the ball and magnet, and shows that when moving the plate near it, the ball jumps towards the plate. How can the unmagnetized steel plate attract the ball more than the magnet? When there is no magnet present, the steel plate doesn't attract the ball at all. These are truly mind-boggling experiments! Original video: - Professor Eric Laithwaite: The Circle of Magnetism - 1968: https://youtu.be/0tJfqMYHaQw Timestamps: - Eric Laithwaite intro: 0:00 - Magnetic Like-Poles repulsion: 0:09 - Like-Poles attract when 1 steel piece is between: 0:19 - Like-Poles repel when 2 steel pieces are in between: 0:38 - Unmagnetized steel plate pulls unmagnetized steel ball from magnet: 1:12 - Places cardboard between to see ball jump to unmagnetized steel: 1:33 Stay tuned for #MESExperiments 35... View experiment screenshots and more experiments below: - Screenshots of the Experiment: https://peakd.com/hive-128780/@mes/sfrrzdko - #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 uploaded the 3rd song titled "Liberty Street" from the 1109 music album by Keor Meteor. This song covers the return of Michael Jordan to the NBA announced on 9/11, photographer David Handschuh getting picked up as if by a tornado along Liberty Street, and the mystery of the millions of unburnt paper all over the World Trade Center (WTC). 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 Timestamps and footage used are listed below: - CNN: Michael Jordan is Back: https://youtu.be/IMVTB2aVUg0: 0:00 - David Handschuh 9/11 eye witness: https://youtu.be/AaICfnxxRDk: 0:36 - Mystery of millions of unburnt paper on 9/11: https://t.me/meslinks/21388: 1:23 - Enormous amount of WTC building materials turned to dust: 2:26 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 do a debunk of Eric Dubay's debunk of my earlier Flat Earth debunk and show that the Mountain's shadow forms opposite triangular shapes depending on if it is on top or below the clouds. When the Sun goes below the horizon, it can form an epic shadow of large objects such as Mountain's or skyscrapers unto the underside of the clouds. In this case, the shadow has a triangular shape where the pointy part is near the peak of the Mountain and the wider base is on the far side away on the clouds. If the Mountain peak is above the clouds, then as the Sun approaches near the horizon, it can form a shadow above the clouds that is in reverse direction as to the one below the clouds. This is pretty straight forward stuff, but that doesn't stop professional liar Eric Dubay from lying about what our eyes clearly see. I debunk Eric's many lies in methodical fashion. Video links: - MES Links: https://mes.fm/links - Debunking Flat Earth Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0HUyOvHJiyX74GmJ79exCkh - Debunking Flat Earth: Mountain's Shadow on Clouds: https://youtu.be/j6Ey7zUpoos - Thumbnail: https://t.me/meslinks/22541 - Shadow on Clouds: https://flatearth.ws/shadow-on-clouds - Professional liar Eric Dubay pushing bogus disinfo: https://youtu.be/xDH6a3TJqpA - Lie 1: Alludes to the Sun reflecting to ground as a possible explanation. - Lie 2: Says ALL Mountain cloud shadow images are when mountain peak is above clouds. - Lie 3: Says shadow is from above the clouds. (Clouds are in REVERSE direction) - Lie 4: Says Sun never goes below the horizon. - Why is the top of the mountain illuminated but below it is not? What is causing that shadow in FRONT of the Mountain? Is the Sun below the clouds (answer is yes). - Lie 5: He shows the clouds in REVERSE direction to what it should be, confirming he is deliberately misleading his audience aka lying. - Lie 6: His graphic confirms that he is ignoring the shadow on the front of the Mountain. - Continues lying at end of video etc. - Good debunk: Mount Rainier's Shadow and Electroflerfspectivism. https://youtu.be/-MhWmD05dN0 - Many photos of Mountain peak CLEARLY below clouds: https://presearch.com/images?q=mountain%27s+shadow+on+clouds - Mountain Shadow Above and Below Clouds Experiments: https://youtu.be/sAhQN86ZBy4 - DRAFT Experiments: https://www.youtube.com/playlist?list=PLai3U8-WIK0FfZ_7hUuyO7xN8lp5oaDiu - Mount Rainier Epic photo: https://twitter.com/KClarkWx/status/1325837129851703298 Timestamps: - Intro and Links: 0:00 - MES Links: 1:40 - Previous video: Mountain's shadow on clouds: 2:10 - Debunking Eric Dubay: 3:07 - Lie 1: Eric suggesting shadow reflections as an explanation: 3:41 - Lie 2: Eric states ALL images have Mountain peak above clouds: 4:40 - Lie 3: Eric says shadow is above the clouds: 6:06 - Lie 4: Eric says Sun never goes below the horizon: 6:52 - Top of the mountain is illuminated but not below it: 7:18 - Lie 6: Eric confirms that he is ignoring the shadow IN FRONT of the Mountain: 8:23 - Lie 5: Eric shows clouds in REVERSE direction to what it should be: 9:16 - Good debunk by Mike the Engineer: 10:22 - MES Experiment: Mountain shadow above and below clouds: 11:43 - Draft MES Experiments and Outro: 15:17 . ------------------------------------------------------ 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 if a series is convergent, then an alternating series version of it also converges because that would be absolutely convergent. Adding (-1)^n to a series makes it alternate between positive and negative terms. An absolutely convergent series is also just normally convergent. This is because the terms approach zero regardless if they are positive or negative. Thus the answer to the question is True. Time stamps: - Question 17: 0:00 - Solution: True: 0:23 - Absolutely convergent series is also convergent: 0:48 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: 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 that a sequence is convergent, by the Monotonic Sequence Theorem, if it is positive and decreasing for all values of n. This would mean that the sequence is bounded because the largest value would be the initial term and the smallest value is a number greater than 0. Thus we can apply the Monotonic Sequence Theorem and the sequence is convergent. We can see this visually since the terms of the sequence will approach a limit L greater than 0. Thus, the answer to our question is True. Time stamps: - Question 16: 0:00 - Solution: True: 0:23 - Monotonic Sequence Theorem: 0:43 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: 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 that we can multiply 2 divergent sequences to form a convergent sequence. The example I use is the sequence with terms (-1)^n, which is a divergent sequence that alternates between 1 and - 1 as n approaches infinity. If we multiply this sequence by itself, hence multiplying 2 divergent sequences, we end up with 1^n which equals 1 for all values of n. Thus the new sequence is convergent, and the answer to the question is False: multiplying divergent sequences does not necessarily mean we get a divergent sequence. Time stamps: - Question 15: 0:00 - Solution: False: 0:10 - Divergent sequences (-1)^n multiply to form a convergent sequence: 0:17 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: 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 that two divergent series can sum up to form a convergent series. A simple example is the sum of the divergent series {n} and {-n}. Both of these infinite series individually diverge to infinity or negative infinity, summing them up involves all terms canceling out and converging to n - n = 0. Thus the answer to the question is False, that is, the sum of 2 divergent series is not necessarily also divergent. Time stamps: - Question 14: 0:00 - Solution: False: 0:14 - Example of 2 divergent series summing to form a convergent series: 0:25 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: 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