Math Easy Solutions

MES

In this video I go over a brief introduction on the most commonly used probability density function, the normal distribution. This function is represented by a bell-shaped curve, often referred to as the Bell Curve, and models many natural phenomena well, such as test scores, rainfall, heights, weights, etc. Although I go over the basics of the normal distribution function and its properties in terms of the standard deviation, I leave the actual derivation of the formula to later videos, as it is more advanced. So stay tuned for those videos!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsBSj6EePdgyR-ZAAg

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/probability-normal-distribution

Related Videos:

Probability: Median: Example 1: https://youtu.be/nDAfJfCa4Fc
Probability: Median: https://youtu.be/C8ZU8BjHIqQ
Probability: Average Value: Example 2: https://youtu.be/1q_yYIoQ7no
Probability: Average Value: Example 2: https://youtu.be/1q_yYIoQ7no
Probability: Average Value (or Mean Value): https://youtu.be/gF-zRmdTUWw
Probability: Example 2: Exponentially Decreasing Probability Density Function: https://youtu.be/QeU_9NDCXoA
Probability: Example 1: https://youtu.be/SDJPja8GJ1Q
Probability: Introduction: https://youtu.be/H_sfVMH0VpQ
Probability that my friend Dmitry Scores Goals: http://youtu.be/zbAN04Kj3D8
Three Prisoners Problem: http://youtu.be/8vY66MD7nsM
Odds of Having a Perfect NCAA March Madness Bracket: http://youtu.be/It1sCq9cAFM
Odds of Winning the Lottery: http://youtu.be/dVNFhu6tMQc
Blood Flow: Poiseuille's Law: https://youtu.be/X6aU0p7wJzI
Applications of Integrals: Hydrostatic Pressure and Force: https://youtu.be/fesMt6vmXIo
Applications of Integrals: Surface Area: https://youtu.be/JkDPmAD37qk
Applications of Integrals: Arc Length Function: https://youtu.be/MWKK3qLvSwU
Applications of Integrals: Arc Length Proof: https://youtu.be/2rb4H_rmgxg
Moments and Centers of Mass: Constant Density: https://youtu.be/3bglr1sRWUc .

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In this video I go over an example on normal distributions and this time look at the very well known application that follows a normal distribution probability density function, the Intelligence Quotient (IQ) scores. IQ tests have been widely used for about a century now and they, like many phenomena, are normally distributed. In the example I show that about 2/3rd of people (or 68%) have an IQ between 85 and 115 while less than 0.4% have an IQ higher than 140.

I also go over a brief history of the IQ tests as well its uses and drawbacks. IQ tests focus mainly on cognitive abilities such as memory, attention, speed, and pattern recognition. This is a very useful video if you are interested in learning more about the popular IQ testing concept so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsBg8srx4qaRfYXtnQ

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/probability-normal-distribution-example-1-iq-scores

Related Videos:

Probability: Normal Distribution: https://youtu.be/b17gJ4F_v54
Probability: Median: Example 1: https://youtu.be/nDAfJfCa4Fc
Probability: Median: https://youtu.be/C8ZU8BjHIqQ
Probability: Average Value: Example 2: https://youtu.be/1q_yYIoQ7no
Probability: Average Value: Example 2: https://youtu.be/1q_yYIoQ7no
Probability: Average Value (or Mean Value): https://youtu.be/gF-zRmdTUWw
Probability: Example 2: Exponentially Decreasing Probability Density Function: https://youtu.be/QeU_9NDCXoA
Probability: Example 1: https://youtu.be/SDJPja8GJ1Q
Probability: Introduction: https://youtu.be/H_sfVMH0VpQ
Probability that my friend Dmitry Scores Goals: http://youtu.be/zbAN04Kj3D8
Three Prisoners Problem: http://youtu.be/8vY66MD7nsM
Odds of Having a Perfect NCAA March Madness Bracket: http://youtu.be/It1sCq9cAFM
Odds of Winning the Lottery: http://youtu.be/dVNFhu6tMQc
Blood Flow: Poiseuille's Law: https://youtu.be/X6aU0p7wJzI
Applications of Integrals: Hydrostatic Pressure and Force: https://youtu.be/fesMt6vmXIo
Applications of Integrals: Surface Area: https://youtu.be/JkDPmAD37qk
Applications of Integrals: Arc Length Function: https://youtu.be/MWKK3qLvSwU
Applications of Integrals: Arc Length Proof: https://youtu.be/2rb4H_rmgxg
Moments and Centers of Mass: Constant Density: https://youtu.be/3bglr1sRWUc
Can We Integrate All Continuous Functions?: http://youtu.be/OFEDLJYqYps .

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In this video I go over an introduction to differential equations and explain a bit about how they are the most important applications of calculus to the real-world. Differential equations are simply equations that consist of a function and some of its derivatives. These types of equations model real-world applications very well because often times physical concepts change at a rate that is proportional to its current state.

One such example is in population growth in which the rate of growth depends on what the current population is. In this video I use differential equations to model population growth. The first differential equation for population growth that I go over is for ideal conditions and is simply stated as the rate of growth is proportional to the current population. But a more accurate model assumes that there is a maximum carrying capacity in which the population levels off. This latter model is known as the Logistic Differential Equation and was first proposed by the Dutch mathematical biologist Pierre-François Verhulst in the 1840s. I also go over a brief history lesson on Verhulst.

This is an extremely important video as it lays the foundation for my later videos on one of the most powerful mathematical concepts, differential equations, so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsEMZvMcUkjvxzId8g

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-population-growth

Related Videos:

Natural Exponential Function: y = e^x: http://youtu.be/vGsOA2eqkig .

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In this video I go over further into differential equations and this time use Hooke's Law to establish a relationship between the resistance force of a spring as being proportional to the length it stregths (or compresses). Since we are dealing with a force, we can apply Newton's Second Law of motion, which states that a force is equal to its mass times its acceleration. The acceleration of an object can also be considered as the second derivative of position of the spring. Thus we can model the motion of a spring through a second-order differential equation. It is called second-order because of it involves a function and its second derivatives.

Functions that fit this description are the sine and cosine functions, since the second derivatives both are themselves but with a negative sign. And similar to trigonometric functions, the motion of a spring oscillates which makes trig functions reasonable solutions to the motion of a spring differential equation.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsEgtmClosN58R6igg

Related Videos:

Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA
Integrals and Work: Example 2 - Hooke's Law: http://youtu.be/h8lwvB9rOng
Higher Derivatives Example on Acceleration: http://youtu.be/PVxUQjJ1vUA .

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In #911Truth Part 12 I have uploaded the infamous March 2, 2007 interview between Democracy Now’s Amy Goodman and Retired US General Wesley Clark regarding the United States PRE-PLANNED “7 countries in 5 years” invasion of the Middle East. Clark details how a mere 10 DAYS after 9/11, a general at the Pentagon told him that the decision to go war with Iraq was already made! And the reason given was “I don’t know”…. In other words, 10 days after 9/11, and before the media driven lie about “Iraq WMDs” the decision had already been made. Furthermore, Clark reveals that several weeks later, upon which the United States were already bombing Afghanistan, he went to see the unnamed general again to see if the Iraq War plan was still going to happen. But the General revealed that it was much worse and gave him a classified memo that listed “7 Countries in 5 Years” to be “take(n) out”: Iraq, Syria, Lebanon, Libya, Somalia, Sudan, and finally IRAN!

Now while the United States war machine has taken longer than “5 years” to carry out their plan, the first 6 countries have already been decimated resulting in mass genocide, a global immigration crisis, and the ballooning of fiat debt money across the globe that further increases the taxation upon ordinary hard working people. And even though Clark said he heard of the plan for the Middle East “War” aka Mass Ritual Sacrifice and Genocide "10 days after 9/11", it is clear the plan was made well in advance; and thus so too was the planned media brainwashing on a global scale planned as well.

There is now one country left on the list: IRAN. And from the current Puppet President, Donald Trump, and his “demented” tweets to the blatant government run Psychological Operation known as “Q Anon”, the level of outright threats towards Iran make it clear that the agenda for War will continue; but this time towards a more global war that includes Russia and China.

Since the war agenda continues regardless of who is president of ANY country, the inevitable realization comes to mind: we (as in the average ordinary citizen) are under global control. In fact, I would go so far as saying that the global power structure is not made up of “countries” but rather a two tier class: those that rule, and those that are ruled. But on an even deeper philosophical level, it is the very POSITION of power over others that will always lead to war; in other words, it doesn’t matter who is the president, even if it was yours truly, the result would be the same. Those that rule do so simply because they believe the global population are not fit to rule themselves, and everyday we prove them right by our very lifestyles, and ultimately by our very willingness to kill when asked to. Afterall, the “global elite” can only do so much in making us think that killing our fellow human being is EVER a viable decision. And ultimately the decision for peace, for self-governance, and saying no to war of ANY kind rests with us. #BoycottWar

Stay Tuned for #911Truth Part 13…

Full Amy Goodman and Wesley Clark Interview: [https://youtu.be/JOtbNC4oJ54](https://youtu.be/JOtbNC4oJ54)
“7 Countries in 5 Years” Transcript: https://genius.com/General-wesley-clark-seven-countries-in-five-years-annotated

View Video Notes on Steemit: https://steemit.com/war/@mes/911truth-part-12-gen-wesley-clark-reveals-middle-east-invasion-was-pre-planned-and-iran-is-next

Related Videos:

#911Truth Video Series: https://mes.fm/911truth-playlist
#FreeEnergy Video Series: https://mes.fm/freeenergy-playlist
#AntiGravity Video Series: https://mes.fm/antigravity-playlist
#MESExperiments Video Series: https://mes.fm/experiments-playlist
#Occult Video Series: https://mes.fm/occult-playlist
#PizzaGate Video Series: https://mes.fm/pizzagate-playlist .

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In this video I go over an example on differential equations and this time show that the solutions to the second-order differential equation y" + 9y = 0 are in the form of a combination of sine and cosine functions. This differential equation can be re-arranged to y" = -9y which is the same form as that in my last video on the motion of a spring. And thus as expected the solutions should be involving trigonometric functions because they model the oscillations of a spring very well.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsE1Ms_uLy2M-31Bnw

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-spring-motion-example-1

Related Videos:

Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA
Integrals and Work: Example 2 - Hooke's Law: http://youtu.be/h8lwvB9rOng
Derivative of Trigonometry Functions: Derivative of sin(x): http://youtu.be/elEvQ4Wu7Pk
Derivative of Trigonometry Functions: Derivative of cos(x): http://youtu.be/LMjVp-GsrCw .

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In this video I go over a general overview on differential equations as well as a few of the definitions and terms associated with them. I discuss briefly about the order of a differential equation as well as what the solution to a differential equation is. I also allude to how most real-world models of differential equations are complex and thus don't usually have explicit solutions to them. Instead we often have to approximate the solutions and I will show how in later videos so stay tuned!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsFhf69mv--wxTqDtQ

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-general-overview

Related Videos:

Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg
Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA .

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In this video I go over an example on differential equations and show that the family of functions y = (1 + ce^t) / (1 - ce^t), where c is a constant, is a solution to the differential equation y' = 1/2(y^2 - 1). The process of proving that it is indeed a solution is to simply take the derivative of the family of functions and ensure that it satisfies the differential equation, which I show that it clearly does.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsFwy6vbLODQ0spUnA

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-example-1

Related Videos:

Differential Equations: General Overview: https://youtu.be/jit59tIY4UI
Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg
Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA
Derivative Rules - Proof of the Quotient Rule: http://youtu.be/fJcgnLKkISE
Foil Method - Simple Proof and Quick Alternative Method: http://youtu.be/tmj_r94D6wQ .

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In #MESExperiments number 7, I have repeated the same experiment as in the 5th experiment but this time removed the plastic and metal bases so that the gyroscope is directly in contact with the ice block. This means that the contact surface between the ice and the stem of the gyroscope has very little rotational friction and which can be see by the gyroscope outer casing spinning very rapidly; even though the gyroscope’s center disk is the only thing initially spun.

I positioned the gyroscope at about 35 degrees from the vertical and yet again the gyroscope magically rises upwards and with ZERO “centripetal force” as can be seen by the lack of horizontal movement as the gyroscope rises upwards. This experiment demonstrates that even if the gyroscope’s outer casing is free to rotate, the gyroscope still rises upwards. Thus the ability of the gyroscope to rise upwards is not due to horizontal friction (no centripetal force) and not due to rotational friction either. Then the question arises: how is the gyroscope precessing upwards? Stay tuned for my later experiments and my epic #AntiGravity Part 6 video which shows that “gravity” itself is being interacted with through the simple rotation of matter… #StayTuned

The gyroscope takes about 3.5 minutes to fully rise upwards and after which maintains its vertical position for about 1 minute. Then, as also shown in experiment number 5, the gyroscope magically “regains” its “centripetal force” as it precesses downwards and with the ice block moving in large horizontal circular movements. This upwards rising is even more impressive given the fact that the gyroscope stem has literally dug directly into the ice block. Thus the gyroscope rises upwards not only against gravity but against the surrounding ice wall. #AbsolutelyFascinating

Also, later in the video I show that as the gyroscope loses spin speed, it still has the ability to precess in a circular downwards spiral; albeit more chaotic as the spin speed lowers. But even at extremely low spin speeds, the gyroscope still has the magical ability to avoid falling directly downwards but instead still spiral downwards which also “cushions” the fall of the gyro. #AmazingStuff

Stay Tuned for #MESExperiments Number 8!

View Video on Steemit: https://steemit.com/mesexperiments/@mes/mesexperiments-7-gyroscopes-precess-upwards-on-ice-even-while-outer-casing-spins-magic

Related Videos:

#MESExperiments Video Series: https://mes.fm/experiments-playlist
#AntiGravity Video Series: https://mes.fm/antigravity-playlist
#FreeEnergy Video Series: https://mes.fm/freeenergy-playlist .

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In this video I go over another example on differential equations and this time discuss the more practical need for finding a particular solution to a differential equation as opposed to a general solution. One such solution involves satisfying the additional requirement that the solution has a specific initial value. Thus in solving such a problem, known as an initial value problem, we get one particular solution. In this example I look back at the same differential equation from Example 1 but this time apply the initial condition y(0) = 2.

Thus in the physical sense, the particular solution to an initial value problem means that we take our initial known or measured condition and then predict the future values from this starting point. This is a pretty interesting video on how to go about solving an initial value problem so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsIsflB-HCEIQkOQrQ

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-example-2-initial-value-problem

Related Videos:

Differential Equations: Example 1: https://youtu.be/n575RKO48Ro
Differential Equations: General Overview: https://youtu.be/jit59tIY4UI
Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg
Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA .

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As explained in my earlier videos, most differential equations can't be solved explicitly which thus forces us to find different ways of estimating the solution; and one of those is in the concept of direction fields. For differential equations of the form y' = F(x, y), a direction field (or slope field) is any number of points in which the slope of the line segment near that point is plotted out. This allows us to get a general idea of the shape of the curve. Direction fields are very useful to visually see the solution of a differential equation without actually having to know the precise solution. This is a very important concept to understand so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsJtu3CqeI05b6SJkQ

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-direction-fields

Related Videos:

Differential Equations: General Overview: https://youtu.be/jit59tIY4UI
Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg
Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA .

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In this video I go over an example on how to go about generating a direction field as well as using it to draw a particular solution. The differential equation used is y' = x^2 + y^2 - 1 and a particular solution is graphed that passes through the origin (0, 0). This is a pretty simple but useful video in showing how we can estimate a solution to the differential equation without knowing the actual formula for the solution.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsMBfgeJ04US4Bitig

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-direction-fields-example-1

Related Videos:

Differential Equations: Direction Fields: https://youtu.be/zWv1y8Xp1ac
Differential Equations: General Overview: https://youtu.be/jit59tIY4UI
Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg
Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA .

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In this video I go over a brief introduction to some of the definitions and concepts behind electric circuit such as resistors, voltage, inductors, current, and electromotive force. The current flowing through an electric circuit can be described as a first order differential equation, which is part of Kirchhoff's Laws and also uses Ohm's law for voltage drop due to a resistor. This video is to serve as a bit of a background in order to better understand the example in my next video, which will be on describing the solution to this differential equation by using differential fields.

If you haven't learned about electric circuits, this brief overview might be useful so make to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsMkadtGWg2f2U-ZPQ

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-electric-circuit-introduction

Related Videos:

Differential Equations: Direction Fields: Example 1: https://youtu.be/mtbMQQZeMoQ
Differential Equations: Direction Fields: https://youtu.be/zWv1y8Xp1ac
Differential Equations: General Overview: https://youtu.be/jit59tIY4UI
Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg
Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA .

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In #MESExperiments number 6, I repeat my 5th experiment of a precessing gyroscope on ice but this time set the gyroscope at a near horizontal angle. And yet again the gyroscope demonstrates the (mainstream) physics-defying ability to magically precess with ZERO centripetal force, at sufficient gyro spin rate. In other words, the gyroscope precess as if it magically lost all its “mass” and thus generating ZERO “horizontal force” at the stem; and as explained in Experiment number 4, the gyroscope literally precesses without “angular momentum”. This is some truly mind-boggling properties of gyroscopes which, if viewed with the critical eye, requires a re-writing of centuries old (mainstream) physics textbooks and even science in general.

Once the gyroscope loses spin speed, the “centripetal force” gradually increases which can be seen by the stem of the gyroscope moving in a circular direction on the near frictionless ice surface. But even at these slower spin speeds, the amount of “centripetal force” is almost negligible. This is because, as shown in my earlier experiments, it just takes an incredibly small amount of “friction” to hold the gyroscope in place. And in fact it is this gyroscope’s magical property of seemingly behave “massless” that allows it to precess perfectly balanced even on the tip of your finger.

I can’t stress how monumental and game-changing these HIDDEN-IN-PLAIN-SITE properties of gyroscopes, because after all a gyroscope is essentially a constrained spinning top, and which a spinning top itself is just matter in rotation… Which begs the questions what is “matter” and why does rotation magically change its properties?

Stay Tuned for #MESExperiments Number 7!

View on Steemit: https://steemit.com/mesexperiments/@mes/mesexperiments-6-gyroscopes-precess-with-zero-centripetal-force-on-ice-even-at-horizontal-angle

Related Videos:

#MESExperiments Video Series: https://mes.fm/experiments-playlist
#AntiGravity Video Series: https://mes.fm/antigravity-playlist
#FreeEnergy Video Series: https://mes.fm/freeenergy-playlist .

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In this video I go over an example on drawing direction fields for the differential equation that I covered in my last video that relates the voltage drops due to an inductor and resistor with the voltage and current supplied of an electric circuit. The direction field in this example is very interesting in that, since the differential equation does not depend on the time variable but only on the current, this makes every line segment parallel to every other line segment to the left or the right of it, assuming they are at the same currents. This type of differential equation is called autonomous and thus if we know one solution to the differential equation, we can obtain infinitely many, simply by shifting the solution left or right.

This video relies heavily on the definitions and concepts involved in electric circuits so make sure to watch last video before watching this if you haven't covered electric circuits before.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsNZFnoROicWKcXu3w

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-direction-fields-example-2-electric-circuit

Related Videos:

Differential Equations: Electric Circuit: Introduction: https://youtu.be/E6vij-RzQ-o
Differential Equations: Direction Fields: Example 1: https://youtu.be/mtbMQQZeMoQ
Differential Equations: Direction Fields: https://youtu.be/zWv1y8Xp1ac
Differential Equations: General Overview: https://youtu.be/jit59tIY4UI
Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg
Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA .

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In my earlier videos I went over using direction fields to graphically approximate solutions to differential equations, but in this video I show how we can use direction fields to numerically approximate solutions as well. This process is called the Euler's Method and is quite simply approximating the solution to an initial-value problem by using straight line segments in which the slopes are determined at each point through the differential equation. I also show in the video that as we increase the number of line segments by shortening the step size between each point, then we effectively can get closer and closer to the exact solution. With computers, this is obviously very practical since they can solve many calculations at once, and in fact many super computers are used in numerically solving differential equations using similar methods as the Euler Method. This video gives a very important illustration of a very important concept, which is numerical approximation to differential equations, so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsQKa2zf5-ft8WNb3Q

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-euler-s-method

Related Videos:

Differential Equations Direction Fields: Example 2: Electric Circuit: https://youtu.be/-bfPZG7-MTA

Differential Equations: Electric Circuit: Introduction: https://youtu.be/E6vij-RzQ-o
Differential Equations: Direction Fields: Example 1: https://youtu.be/mtbMQQZeMoQ
Differential Equations: Direction Fields: https://youtu.be/zWv1y8Xp1ac
Differential Equations: General Overview: https://youtu.be/jit59tIY4UI
Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg
Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA .

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This is a question that is usually brought up but not many actually take the time to find out the difference between deodorant and antiperspirant. In this video, my brother MFA goes over how deodorants and antiperspirants are both used to combat odors caused by sweat, mostly located in your armpits. Deodorants usually work to only mask the smell of bacteria from sweat, while antiperspirants actually try to block sweat glands from releasing moisture. But the choice to use is up to you, so make sure to watch this video to get a better idea of which one to use!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsQsPoxR7zZmstmgdg

View Video Notes on Steemit: https://steemit.com/health/@mes/deodorant-vs-antiperspirant

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Odds of Winning the Lottery: http://youtu.be/dVNFhu6tMQc
NBA Free Agency and Max Contracts: Introduction: http://youtu.be/osDN-bnPULY .

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In this video I go over an example on Euler's Method for numerically approximating solutions to a differential equation and this time look at the initial-value problem: y' = x + y with y(0) = 1. Initially I use the step size of 0.1 to roughly approximate the solution at x = 0.1, 0.2, ..., 1.0. But to get more accurate approximations we can decrease the step size even further. As shown in this video, when we decrease the step size further and further the solution approaches closer and closer to the exact value. This is a very useful video to understand Euler's method in detail, as well as how to develop spreadsheets to calculate it, so make sure to watch this video!

Download the notes in my video:

Notes: https://1drv.ms/b/s!As32ynv0LoaIhsQlsgrDZEb68Fl1LQ
Excel Notes: https://1drv.ms/x/s!As32ynv0LoaIhsQnSuqAQ7rhC3PsFg

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-euler-s-method-example-1

Related Videos:

Differential Equations: Euler's Method: https://youtu.be/VlwVl-3oPDM

Differential Equations: Electric Circuit: Introduction: https://youtu.be/E6vij-RzQ-o
Differential Equations: Direction Fields: Example 1: https://youtu.be/mtbMQQZeMoQ
Differential Equations: Direction Fields: https://youtu.be/zWv1y8Xp1ac
Differential Equations: General Overview: https://youtu.be/jit59tIY4UI
Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg
Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA .

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In this video I go over another example on applying Euler's Method to numerically approximate a solution to an initial-value problem and this time look at the same Electric Circuit example that I covered in my earlier video. In this example, I take a look at the differential equation used for the current flowing through an electric circuit and use Euler's Method to approximate what the current is after half a second, when given that the current is initially 0 at time 0, i.e. when the circuit is turned off then suddenly turned on.

Although this example is pretty straight forward, I decided not to use a calculator but instead solve the multiplication, addition, and subtraction all by hand as an exercise in algebra. Sometimes it is a good brain workout to work out calculations by hand. This might also come in handy, say for example, your calculator's battery dies during a math exam, which happened to me!!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhskVmSVF0NgsMRrs2w

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-euler-s-method-example-2

Related Videos:

Differential Equations: Euler's Method: Example 1: https://youtu.be/L_l5DLZsZLQ
Differential Equations: Electric Circuit: Introduction: https://youtu.be/E6vij-RzQ-o
Differential Equations: Direction Fields: Example 1: https://youtu.be/mtbMQQZeMoQ
Differential Equations: Direction Fields: https://youtu.be/zWv1y8Xp1ac
Differential Equations: General Overview: https://youtu.be/jit59tIY4UI
Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg
Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA
Addition and Subtraction by Hand - An in-depth look: http://youtu.be/Tkb7xU-lFWU
Multiplication by Hand - In depth look at the wonderful world of multiplication: http://youtu.be/bUKGh5R_0Sw
Long Division by Hand - An in depth look: http://youtu.be/giBZg5Vqryo .

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In this video I go over an extensive video on solving the very interesting and challenging “Problems Plus” examples at the end of my Stewart calculus chapter on Parametric Equations and Polar Coordinates. As explained in my #MESExperiments Introduction video, to free up time to work on my game-changing “alternative” research into free energy, anti-gravity, and all-around real science and real reality, I will be making more condensed and super long mathematics videos like these; instead of the usual short videos for each subsection. This way I will be able to cover more math topics while I upload less videos.

In this Problems Plus Examples video, I solve 7 very worth-while problems and they are listed below with their time-stamps to help you navigate through this giant video. These problems combine much of what I covered in my earlier videos on Polar and Parametric Calculus; but also calculus in general as these examples tie in many different mathematical concepts together to solve very abstract and useful problems. I hope you enjoy my new longer and condensed format of mathematical videos, and if you follow along for the ride you may in fact be getting a mathematical education that few if any “Schools” would or can provide! #MESUniversity

Question 1: @ 1:21 – Arc Length of Parametric Curve
Question 2: @ 10:40 – Sketching a Symmetric Curve
Question 3: @ 55:41 – Determining Viewing Rectangle of a Family of Polar Curves
Question 4: @ 1:23:55 – Spiraling Bugs in Polar Coordinates
Question 5: @ 1:55:29 – Folium of Descartes
Question 6: @ 3:21:07 – Epitrochoid and the Wankel Rotary Engine
Question 7: @ 4:23:50 – Hyperbola Tangent Lines and Equidistant Asymptote Lines

Stay tuned for my next super long math video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIh6oci2DcIvOPGSF3Sw

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/parametric-equations-and-polar-coordinates-problems-plus-examples

Related Videos:

Problems Plus Examples: https://www.youtube.com/playlist?list=PLai3U8-WIK0EmBi_pTs2cBSqfE8oHGHqB
Parametric Equations and Curves: https://www.youtube.com/playlist?list=PLai3U8-WIK0H0AMIZV8HU3LVxSSf_Y9pi
Calculus with Parametric Curves: https://www.youtube.com/playlist?list=PLai3U8-WIK0H0AMIZV8HU3LVxSSf_Y9pi
Polar Coordinates: https://www.youtube.com/playlist?list=PLai3U8-WIK0HUFiPLsYw5_Ljd5riOUzjP
Area of Polar Curves: https://www.youtube.com/playlist?list=PLai3U8-WIK0HEsLZeseN9E9cCgZGYlbe7
Conics in Polar Coordinates: https://www.youtube.com/playlist?list=PLai3U8-WIK0H4OJpJ2gslXVLT8mP-SgJP .

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In #911Truth Part 11, I have uploaded (with permission) Christian Hampton’s epic and game changing documentary on 9/11, the advanced technology involved, and the continual coverup by controlled opposition “truth” movements. Chris uses his skills as an audio engineer and filmmaker to build upon the work of Dr. Judy Wood, and by focusing on the advanced holographic image projection technology used to mimic large Boeing airliners. Directed (Free) Energy Technology (DEW) is the main type of technology used on 9/11; from creating “plane” illusions to turning 7 large world trade center towers to dust, steering a giant Hurricane Erin off the coast, altering the Earth’s magnetic field, levitating cars, and interfering with nearby cameras and phones; on this day September 11, 2001, 17 years ago, energy, matter, metal, elements, and our very reality was manipulated before our very eyes. And it is long overdue that we begin wrapping our minds around what our eyes saw but our minds initially couldn't comprehend...

Chris joins the ranks of Dr. Judy Wood in being one of only a few to have trusted what their own eyes were telling them, instead of the scripted propaganda coming out of the mainstream and controlled alternative radio, TV, and online media outlets. From demonstrating that the impossible cartoon physics of large aluminum commercial planes flying at abnormal high speed at low altitude, with no trailing air vortex, very little sound, effortlessly gliding through solid steel girders, impact hole showing no evidence of “planes” nor even high heat as people were seen alive and well in the impact holes, and verifying without a shadow of doubt it was not merely “video fakery”, to demonstrating how disinfo alternative agents and groups have blatant Occult/Freemason connections, and to foreshadowing of 9/11 throughout movies, TV shows, and even throughout history; Chris Hampton provides the most complete picture of the entirety of the events that unfolded that day.

Furthermore, Chris Hampton, and the entire crew at Wolf Clan Media, demonstrate that the “other” 9/11 sites: the Pentagon, and Shanksville, Pennsylvania, correlate in almost the same way as with the World Trade Center destruction. Once again Energy was Directed to create a hole in the Pentagon, and in the ground at Shanksville; both sites also showing no evidence of *conventional* planes; neither impacting or remaining after the holes were made. Chris also has the keen eye to match the events at all the sites to the minute by minute magnetometer readings of the Earth’s Magnetic Field. Absolutely insightful and fascinating stuff!

While 9/11 represents the point at which the world officially moved to one governed by fear, death, destruction, war, genocide, surveillance, ignorance, hopelessness, and inhumanity; the equal and opposite of this reality has been officially revealed possible: free energy, free thinking, hope, peace, knowledge, understanding, Alchemy of matter and consciousness, and the dustification of the mental walls that prevent us from seeing reality for what it truly is…. And now we just have the choice to face reality with a clear and hopeful mind.

Stay Tuned for #911Truth Part 12…

Support Wolf Clan Media by buying a DVD of this amazing documentary: https://wolfclanentertainment.com/merchandise
Subscribe to WCM’s YouTube Channel! https://www.youtube.com/channel/UCCR6RTIyGcC1uM3oRXuMaAQ

View Video on Steemit: https://steemit.com/terrorism/@mes/911truth-part-11-feature-documentary-9-11-alchemy-facing-reality-by-wolf-clan-media

Related Videos:

#911Truth Video Series: https://mes.fm/911truth-playlist
#FreeEnergy Video Series: https://mes.fm/freeenergy-playlist
#AntiGravity Video Series: https://mes.fm/antigravity-playlist
#MESExperiments Video Series: https://mes.fm/experiments-playlist
#Occult Video Series: https://mes.fm/occult-playlist
#PizzaGate Video Series: https://mes.fm/pizzagate-playlist .

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In #911Truth Part 10, I have uploaded a short clip of psychopath and War Criminal George W. Bush joking about the “Weapons of Mass Destruction (WMDs)” lie which directly caused the genocide and displacement hundreds of thousands to even millions of Iraqi people, the pointless murder of thousands of American Troops, the ballooning of the USA fiat (fake money printed out of thing air by private entities) debt which needs to be paid back through increased taxation (government theft), and the overall destruction of morality and humanity on a global scale. GWB “jokes” about not finding these non-existent WMDs while at an annual Radio and Television Correspondents Dinner on March 5, 2003; and to the laughter and applause of psychopathic “journalists”. Instead of exposing the lies of the government and advocating for a literal arrest of essentially every member of the White House, these rich lying cowards sit back and enjoy tax-payer funds expensive meals to give praise to some of the most evil creatures to have ever existed.

Fast-forward to the present time and George W. Bush is on Ellen Degeneres being promoted as a “lovable clumsy grandpa”, https://twitter.com/MathEasySolns/status/850097576766578688. Truly disgusting stuff. But then again GWB, the Iraq War, Fake WMDs, and all being pushed without much after the biggest false flag and biggest event in history: 9/11; are more of a representation of our individual and collective psyches in that we allow such pure evil demons to exist in our society, much less obey the “presidential” commands to go kill ourselves in a Mass Ritual Sacrifice known as War. But going even further, if you want to dive into a rabbit hole that you wish you never knew existed, go to https://mes.fm/eyes to see that George Bush fits in the bizarre theme of public figures with “weird eye anomalies”. After noticing this trend in my everyday life, I believe it is more of an external display of the “fakeness” of the internal person; and as the eyes are the “windows to the soul”, it is fitting that the eyes can giveaway the personality, or lack thereof, of the person… That being said, George Bush's "Pretzel Joking" incident definitely looks like a cover for some sort of mind control being implemented; and this is mainly because I don't believe any human can be that evil...

Anyways, this short video clip is one of the most telling regarding the psychopathic character of the “ruling elite”, and is a good reminder that if we ignore 9/11 these psychopaths and their controlled media will keep pushing for more war… war of terror…

Stay Tuned for #911Truth Part 11…

Related Videos:

#911Truth Video Series: https://mes.fm/911truth-playlist
#FreeEnergy Video Series: https://mes.fm/freeenergy-playlist
#AntiGravity Video Series: https://mes.fm/antigravity-playlist
#MESExperiments Video Series: https://mes.fm/experiments-playlist
#Occult Video Series: https://mes.fm/occult-playlist
#PizzaGate Video Series: https://mes.fm/pizzagate-playlist .

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In this video I go over the concept of separable equations which are a type of differential equations that are possible for us to solve explicitly. A separable equation is a first-order differential equation in which both the independent and dependent variable can be separated in such a way as to write the derivative as being equal to a function of the first variable multiplied by a function of the other variable. This allows the differential equation to be "separated" in such a way that all the variables of one type are on side of the equation and the others on the other side. This gives the opportunity to apply an integral to both sides of the equation and thus serves as implicitly showing the solution of the differential equation. Depending on the complexity of the separable equation, it may be possible to solve for the solution directly.

This method of separable equations was first used by James Bernoulli and later general derived in a paper by his brother John Bernoulli. In fact the Bernoulli family is one of the most famous families in history and have a major role in shaping the foundation of mathematics. Thus, I have also gone over a brief history on the Bernoulli family in this video, so make sure to watch it!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhslZnkXJpxBkSeAonQ

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-separable-equations

Related Videos:

Differential Equations: Euler's Method: Example 2: https://youtu.be/-4qb_mniDR0
Differential Equations: Euler's Method: Example 1: https://youtu.be/L_l5DLZsZLQ
Differential Equations: Electric Circuit: Introduction: https://youtu.be/E6vij-RzQ-o
Differential Equations: Direction Fields: Example 1: https://youtu.be/mtbMQQZeMoQ
Differential Equations: Direction Fields: https://youtu.be/zWv1y8Xp1ac
Differential Equations: General Overview: https://youtu.be/jit59tIY4UI
Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg
Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA
Derivatives Notation and Biography of Leibniz: http://youtu.be/ROKtFQqJOBE
Derivative Rules: Proof of Chain Rule: http://youtu.be/tYDDpKzP-VU
Fundamental Theorem of Calculus - Introduction and Part 1 of the Theorem: http://youtu.be/3o8Q6UJzJyk
Fundamental Theorem of Calculus - Intro and Proof of Part 2 of the Theorem: http://youtu.be/yuIl-BPQHss .

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In this video I go over an example on separable equations in the form of dy/dx = x^2/y^2 and find the general solution by using the method illustrated in my last video. This is a relatively simple case of a differential equation which can be solved explicitly but keep in mind that many real world applications have differential equations that are not so easily solved. In this example, I also find the specific solution for the initial-value of y(0) = 2. This is a useful video in going over the steps in solving separable differential equations so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhslzNwmKAMCP-NRfAw

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-separable-equations-example-1

Related Videos:

Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94

Differential Equations: Euler's Method: Example 2: https://youtu.be/-4qb_mniDR0
Differential Equations: Euler's Method: Example 1: https://youtu.be/L_l5DLZsZLQ
Differential Equations: Electric Circuit: Introduction: https://youtu.be/E6vij-RzQ-o
Differential Equations: Direction Fields: Example 1: https://youtu.be/mtbMQQZeMoQ
Differential Equations: Direction Fields: https://youtu.be/zWv1y8Xp1ac
Differential Equations: General Overview: https://youtu.be/jit59tIY4UI
Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg
Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA .

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In #MESExperiments Part 5, I demonstrate one of the most hidden IN PLAIN SIGHT properties of gyroscopes: They can precess with ZERO “centripetal force”. I demonstrate this by placing a super precision gyroscope on ice to limit any “friction” and just watch the gyroscope magically rise UPWARDS while the ice cube hardly moves horizontally. In contrast, the “centripetal force” is evident in the case of an Olympic Hammer Throw in which the heavy ball on a chain requires great strength to “pull” the ball inwards as it is spun in a circle.

In my experiment, I placed the gyroscope on a plastic “shirt button” which was itself placed on a metal disc placed on the ice cube. I used this particular set up to provide a more stable base for the plastic button, while at the same time not restrict the rotational movement of the outer gyroscope casing and stem; this is done to allow the gyroscope to MAGICALLY rise upwards. I will explain in detail in later videos, but it appears that the gyroscope’s ability to rise upwards requires that extremely low “rotational friction” is present at the point where the stem of the gyro contacts the base.

I initially place the gyroscope at approximately 40 degrees from the vertical and watch as it precesses gradually upwards, and with almost ZERO horizontal movement; i.e. ZERO “centripetal force”! What’s also interesting is the noise that the gyroscope makes as it precesses, which once fully risen almost fully and eerily disappears. Another fascinating observation is that the base, the ice cube, and the outer casing of the gyroscope and stem behave as a single unit and turn in unison. This “unison rotation” is at its peak rate when the gyroscope is perfectly vertical and rotates this way for a full 2 minutes with very little wobble!

As the gyroscope loses spin speed, the gyroscope begins to precess again but this time the ice cube gradually moves horizontally in a circular fashion that spirals outwards as the gyroscope precession angle drops and the spin rate lowers. In other words, the “centripetal force” *could* be said to magically appear. Where was it in the first place??! At even lower spin speeds and very steep angles, the gyroscope precesses in a LARGE circle but still in magical gyro-typical control! If this isn’t magic, I don’t know what is! But even then, how can the “Centripetal Force” manage to move the ice cube in large circles, yet not even knock off the gyroscope completely off the base? I am of the view that to adequately answer this we need to completely re-examine the very notion of “centripetal force”, because in my view the current mainstream understanding is almost wholly and fundamentally wrong.

Now what to make of these findings? I have spent the great deal of this past week going over experiment after experiment to get the perfect video to fully demonstrate these magical properties of gyroscopes. But this was mainly to remove all doubt as to what our eyes have been telling us all along when simply balancing a precessing gyroscope on our fingertip, but if only we had the mind to comprehend… #MagicInPlainSite

Stay Tuned for #MESExperiments Number 6!

View Video Notes on Steemit: https://steemit.com/mesexperiments/@mes/mesexperiments-5-gyroscopes-precess-upwards-on-ice-with-zero-centripetal-force-realphysics

Purchase the Gyroscope used in my videos through my Amazon Affiliate Links:

Super Precision Gyroscope: https://www.amazon.com/Gyroscope-com-Super-Precision-Gyroscope/dp/B00J3UTRZW?&_encoding=UTF8&tag=mes01e-20&linkCode=ur2&linkId=14a1ef5775ebd8ebfeab988f16502413&camp=1789&creative=9325

Related Videos:

#MESExperiments Video Series: https://mes.fm/experiments-playlist
#AntiGravity Video Series: https://mes.fm/antigravity-playlist
#FreeEnergy Video Series: https://mes.fm/freeenergy-playlist .

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Created 1 year, 2 months ago.

332 videos

CategoryEducation

I mainly teach math, but also do controversial videos that are censored on YouTube, as well as creating #FreeEnergy technology!