Math Easy Solutions

Math Easy Solutions

MES

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In #911Truth Part 19 I have combined and uploaded the epic 9/11 video series by Adam Dwyer titled: IRREFUTABLE: Classified Free-Energy Technology Revealed to the World. Adam is an engineer that, after discovering the world of Dr. Judy Wood and the truth of 9/11, took it upon himself to produce a 6+ episode series that captures the enormous magnitude of the events that conspired on September 11, 2001. From giant steel structures turning into dust before our very eyes to a giant hurricane being manufactured, wrapping our minds around 9/11 requires questioning the very fabric of our reality…

Finally, since it was only fitting to do so, I have also included at the end the music video by Charlie Pound titled: Wake Up This is Your Alarm!

Each individual episode is listed below along with the timestamps in the video, and links to the original videos:

1. @ 0:00 - Episode 0: Overview
2. @ 8:22 - Episode 1: Missing Rubble
3. @ 20:14 - Episode 2: Dr. Judy Wood
4. @ 25:12 - Episode 3: Dustification
5. @ 36:56 - Episode 4: The Big Picture
6. @ 43:56 - Episode 5: The Book
7. @ 48:34 - Episode 6.1: Discovery of Hurricane Erin
8. @ 49:18 - Episode 6.5: Geraldo Rivera Celebrates 40 Years of Hurricane Coverage
9. @ 50:58 - Episode 6: Hurricane Erin – Pt. 1 Manufactured Storm
10 @ 1:05:52 - Music Video: Wake Up This is Your Alarm! by Charlie Pound

Adam Dwyer’s IRREFUTABLE YouTube channel can be viewed here: https://www.youtube.com/irrefutabletv

The links to Adam Dwyer’s original videos, social media channels, websites, donations, and shop are available on the corresponding Hive post: https://peakd.com/hive-113182/@mes/911truth-part-19-irrefutable-classified-free-energy-technology-revealed-to-the-world

Stay tuned for #911Truth Part 20...

Related Videos:

✈️#911Truth Part 11: Feature Documentary: 9/11 Alchemy – Facing Reality by Wolf Clan Media: https://peakd.com/terrorism/@mes/911truth-part-11-feature-documentary-9-11-alchemy-facing-reality-by-wolf-clan-media

✈️#911Truth Part 15: Feature Presentation: The Dawn of a New Age by Dr. Judy Wood: https://peakd.com/freeenergy/@mes/911truth-part-15-feature-presentation-the-dawn-of-a-new-age-by-dr-judy-wood

✈️#911Truth Part 18: Feature Documentary: 9/11 Alchemy - Free Energy & Free Thinking by WFC:
https://peakd.com/hive-113182/@mes/911truth-part-18-9-11-alchemy-free-energy-and-free-thinking-by-wcm

#911Truth video series: https://peakd.com/truth/@mes/911
#MESScience video series: https://mes.fm/science-playlist
#MESExperiments video series: https://peakd.com/mesexperiments/@mes/list
#AntiGravity video series: https://peakd.com/antigravity/@mes/series
#FreeEnergy video series: https://mes.fm/freeenergy-playlist .

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In this video I go over open vs closed intervals and explain further into the various types of intervals you can obtain. I also made an earlier video which I covered open vs closed intervals but I did not go into too much detail though, which is why I made this video. Many of my other videos involves theorems or other cases where I used these open and closed intervals so it is important to review what they are.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiO1B8pPWvzCOATFGwA?e=51I4wC

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/types-of-intervals-closed-vs-open-intervals

Related Video:

Continuity and Open and Closed Intervals: http://youtu.be/u29fd3WYT-g .

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In this video I go over some of the important rules for inequalities and provide a summary for each rule.

Download the notes in the video: https://1drv.ms/b/s!As32ynv0LoaIiOwYwSMDdm1SgQ7_bg?e=ERxLOf

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/inequalities-summary-of-rules

Related Videos:

Types of Intervals - Closed vs Open Intervals: http://youtu.be/wGthQDEixcw .

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In this video I solve some very useful examples on solving inequalities. I utilize the inequality rules which I summarized in my earlier video so make sure to watch that too if you need a review on inequalities.

Download the notes in my video: https://www.dropbox.com/s/u9wk6eq8o45j737/246%20-%20Inequalities%20-%20Examples.pdf

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/inequalities-examples

Related Videos:

Inequalities - Summary of Rules: http://youtu.be/Cyd8kNb_HyM
Types of Intervals - Closed vs Open Intervals: http://youtu.be/wGthQDEixcw .

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A while ago, I did a video introducing absolute values and what they were but I did not go through some very useful properties and rules of absolute values. In this video I go over these properties and show, for example, that sqrt(a^2) = absolute value of a. I go over some other useful properties so make sure you watch the video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiOhTklVbOXFgxHQM-Q?e=3vNErG

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/absolute-values-properties-and-rules

Related Videos:

Absolute Values, |x| - A Simple Introduction: http://youtu.be/BZrdNvkU12s
Negative Number x Negative Number = Positive???!!: http://youtu.be/wCPGpxD0dfE .

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In my earlier videos, I introduced what absolute values were and went through some important properties and rules on them. In this video I go over some very useful examples on absolute values as well as inequalities that have contain absolute values and I show how to solve them.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiOgMNWNeN_-1G52DtQ?e=16h8aL

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/absolute-values-examples

Related Videos:

Absolute Values - Properties and Rules: http://youtu.be/tl9iten87MU
Absolute Values, |x| - A Simple Introduction: http://youtu.be/BZrdNvkU12s
Types of Intervals - Closed vs Open Intervals: http://youtu.be/wGthQDEixcw
Inequalities - Summary of Rules: http://youtu.be/Cyd8kNb_HyM
Inequalities - Examples: http://youtu.be/VtZhqlwdNhg .

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In this video I go through a very interesting topic, the triangle inequality. Basically the triangle inequality states: the absolute value of (a+b) is less than or equal to the absolute value of a plus the absolute value of b. In the video, I illustrate this rule and provide a proof as well as an example on it. If you ever come across the triangle inequality, make sure you watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiOdhhCEz4385J432VQ?e=Kg52hd

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/triangle-inequality-simple-proof

Related Videos:

Absolute Values - Properties and Rules: http://youtu.be/tl9iten87MU
Absolute Values - Examples: http://youtu.be/WSbjNr1Liw8
Inequalities - Summary of Rules: http://youtu.be/Cyd8kNb_HyM
Inequalities - Examples: http://youtu.be/VtZhqlwdNhg
Microsoft Excel Tips: -2^2 = +4 and NOT -4!!!: http://youtu.be/9QC3ZboI3wo .

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When I first played 5 pin bowling for the I really enjoyed it and thought it would be fun doing a video tutorial on its unique scoring system. I also made a Microsoft Excel 5 Pin Bowling Scores Calculator and you can download that in the link below!

Download the notes in my video:
PDF Document: https://1drv.ms/b/s!As32ynv0LoaIiOZq0XoO8tYmXGYShw?e=d4mioa
Excel Calculator: https://1drv.ms/x/s!As32ynv0LoaIiOZmBQnN1YezJUrEMw?e=bsNmrx

Related Videos:

Bowling Scoring System: 10 Pin Bowling: http://youtu.be/EsMocP3Gx-g .

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In this video I go over the definitions and notations involved in combining two different functions. What I mean by combining functions, I mean adding, subtracting, multiplying and dividing two functions.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiOYm_2RuYzYLaNsaMQ?e=vpcgVY

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/combination-of-functions

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/combination-of-functions

Related Videos:

Types of Intervals - Closed vs Open Intervals: http://youtu.be/wGthQDEixcw .

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In this video I go over another Applied Project and titled “Radiation from the Stars”. This is an interesting project from my calculus book at the end of the section on Infinite Sequences and Series. The project involves blackbody radiation and comparing the classical model with the newer quantum mechanics model.

Blackbody radiation is the heat radiation of a simplified ideal object that absorbs all incoming radiation and emits radiation that is dependent only on temperature of the object and not the frequency of the incoming radiation. Objects such as a furnace blast, matte black, and superheated objects like the Sun behave as blackbody radiators.

In the 19th century, John William Strutt aka “Lord Rayleigh” and James Jeans had derived a theoretical model for the radiation spectrum of a blackbody, but this diverged significantly from known experimental findings, in particular at low wavelengths or high frequency light. This resulted in what is known as the Ultraviolet Catastrophe.

In 1900, Max Planck looked to resolve this by postulating that light can only exist in discrete packets or quanta and not at any arbitrary value. This quantization of light produced experimentally accurate results for blackbody radiation and ushered in the start of “Quantum Mechanics”.

In this particular Applied Project, I go over Planck’s Law, determine its limits, and show that at high wavelengths the law converges to Rayleigh-Jeans Law.

Later in the video I make a note regarding Planck’s Constant and a potentially better interpretation of the quantization of energy from the YouTuber Lori Gardi aka Fractal Woman. I had initially written up a more extensive derivation of Planck’s Law in this video, but I have since removed it to do as a separate video in the future. Nonetheless, I have included the following links for further research:

- Derivation of Planck’s Law by “Physics Explained”: https://youtu.be/rCfPQLVzus4
- Interpretation of Plank’s Constant by “Fractal Woman”: https://peakd.com/hive-128780/@mes/cycles-planck-s-constant-and-the-true-nature-of-light

The topics covered in this video are listed below with their time stamps.

- @ 0:00 – Intro
- @ 1:34 - MES Note: Sharpen Your Mind with Mathematics
- @ 3:31 - Calculus Book Reference
- @ 3:45 - Topics to Cover
1. @ 4:16 - Note on Applied Projects
2. @ 4:37 - Applied Project: Radiation from the Stars
- @ - 13:23 - 5 Questions
3. Solutions
- @ 15:44 - Solution to Question 1
- @ 40:33 - Solution to Question 2
- @ 51:00 - Solution to Question 3
- @ 56:04 - Solution to Question 4
- @ 56:44 - Solution to Question 5
4. @ 1:02:08 - Quick Review of Planck's Law
- @ 1:11:28 - MES Note on Planck's Constant

Download Video Notes:

PDF: https://1drv.ms/b/s!As32ynv0LoaIiOJaisYNZ0Zxezu87Q?e=udTP6u
Excel: https://1drv.ms/x/s!As32ynv0LoaIiOJYlASx_wQiNRglYw?e=X0iywn

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/applied-project-radiation-from-the-stars

Related Videos:

Sequences and Series Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz

Infinite Sequences and Series: Applications of Taylor Polynomials: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-applications-of-taylor-polynomials

Applied Projects Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0H2EYiMvHro1O0xDDnew5mK .

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In my earlier video I went over the rules and did some examples on 10 pin bowling scores. In this video I show a 10 Pin Bowling Calculator that I created using Microsoft Excel 2007. The calculator is very useful and you can download it for free below!

Download the notes in my video:

- 10 Pin Bowling Calculator: https://1drv.ms/x/s!As32ynv0LoaIiOE9-cjWHwMgnzZbxg?e=jYGUqh
- PDF Notes: https://1drv.ms/b/s!As32ynv0LoaIiOFCWJx1lkde7pa2KQ?e=Tg2HNE

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/10-pin-bowling-calculator-free-download

Related Videos:

Bowling Scoring System: 10 Pin Bowling: http://youtu.be/EsMocP3Gx-g
5 Pin Bowling - Scoring and Free Calculator to Download: http://youtu.be/ezXX5RlHRXk .

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In this video I go through another problems plus example which in this case is on Mathematical Induction. I also go over mathematical induction is and use the tough problems plus example to illustrate it further. The principle of mathematical induction is pretty straight forward but the wording of it can be a bit tricky. Basically it states that if your function is true for n = 1, and it's true for k+1 if at k is true then it is true for all positive integers n. Since n = 1 is true, it follows that n = 2 is true and thus n = 3 and so on forever.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiN5VBY617a7dgkeIKg?e=ji1JeY

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/problems-plus-example-4-mathematical-induction

Related Videos:

Problems Plus Example 1: http://youtu.be/YjoV9TLICOI
Problems Plus - Example 2: Solve hypotenuse in terms of the Perimeter: http://youtu.be/kvtjSQ2g1UE
Problems Plus - Example 3: |x-3| + |x+2| less than 3: http://youtu.be/EdQBtuo2gqM
Composition of functions: http://youtu.be/8HJE47q7-pA .

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In this video I do I a brief overview on the limit laws which are basically properties of limits. I also show how you can easily remember them by stating them verbally. Basically the limit of a difference/sum/product/quotient is just the difference/sum/product/quotient of the limits. Make sure you watch this video and keep in mind these limit laws. In later videos I will provide some examples as well as proofs for all the laws shown in this video.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiNwf1nO69Qnyhrn1cQ?e=IcJCZc

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/limit-laws-part-1-brief-overview

Related Videos:

One Sided Limits - Plus Examples: http://youtu.be/QA2v_NCej10
What are Limits? A Simple Explanation: http://youtu.be/FbV7TzlkTZk
Math Paradoxes: Limits and Infinite Sums: http://youtu.be/Uq-8CGkyyqE
The Limit of a Function: http://youtu.be/0RX1o7KeZ28 .

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In this video I go through further laws which will enable us to apply the first 5 laws shown in my earlier video. Also, since my calculus book included a section on the history of limits and Isaac Newton's involvement in the explicit formulation of limits, I thought it would be good to go over the history of Limits and how it has developed over the years. If you are interested in how the basic concepts of calculus began, make sure you watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiNppla3-hTN52gqeUw?e=ZdALHC

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/limit-laws-part-2--brief-history-of-newton-and-limits

Related Videos:

Limit Laws - Part 1: Brief Overview: http://youtu.be/qfk5c-43dLg
Limit Laws - Part 1 Examples: http://youtu.be/tL_c7ZKkUBQ
One Sided Limits - Plus Examples: http://youtu.be/QA2v_NCej10
What are Limits? A Simple Explanation: http://youtu.be/FbV7TzlkTZk
Math Paradoxes: Limits and Infinite Sums: http://youtu.be/Uq-8CGkyyqE
The Limit of a Function: http://youtu.be/0RX1o7KeZ28
Fundamental Theorem of Calculus - Introduction and Part 1 of the Theorem: http://youtu.be/3o8Q6UJzJyk .

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In this video I go through some useful examples in illustrating how to apply the limit laws which were discussed in my earlier videos. Also I introduce the direct substitution property which allows for directly solving limits of polynomial and rational functions. I will do more examples on cases where direct substitution does not apply in later videos so stay tuned!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiNo6Fc-irvjfSBFdMA?e=O3epzJ

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/limit-laws-examples--intro-to-direct-substitution-property

Related Videos:

Rational and Algebraic Functions - A Brief Explanation: http://youtu.be/4mvNTeXEW-k
Polynomials - A Simple Explanation: http://youtu.be/IHIh7Y0kStE
Limit Laws - Part 1: Brief Overview: http://youtu.be/qfk5c-43dLg
Limit Laws - Part 1 Examples: http://youtu.be/tL_c7ZKkUBQ
Limit Laws - Part 2 + Brief History of Newton and Limits: http://youtu.be/K5n7y2BvnOs .

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In this video I go over briefly what the direct substitution property is for limits and also go over a very useful example on how to solve limits where you can't directly substitute numbers into the limit.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiNobouD9ajc-aRARig?e=KueVNd

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/limits-where-direct-substitution-doesnt-work

Related Videos:

Rational and Algebraic Functions - A Brief Explanation: http://youtu.be/4mvNTeXEW-k
Polynomials - A Simple Explanation: http://youtu.be/IHIh7Y0kStE
Limit Laws - Part 1: Brief Overview: http://youtu.be/qfk5c-43dLg
Limit Laws - Part 1 Examples: http://youtu.be/tL_c7ZKkUBQ
Limit Laws - Part 2 + Brief History of Newton and Limits: http://youtu.be/K5n7y2BvnOs
Limit Laws Part 2 - Examples + Intro to Direct Substitution Property: http://youtu.be/cIjWhV7YdOE
Limits - Examples Part 1: http://youtu.be/lczWvRBw60A .

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In this video I go further into the wonderful world of limits and solve some useful examples utilizing the concepts of limits which I went over in my earlier videos. These examples are useful in understanding how to solve different cases of limits that might arise so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiNl-reqT166gZBPnKQ?e=SDBtcx

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/limits-examples-part-1

Related Videos:

Limit Laws - Part 1: Brief Overview: http://youtu.be/qfk5c-43dLg
Limit Laws - Part 1 Examples: http://youtu.be/tL_c7ZKkUBQ
Limit Laws - Part 2 + Brief History of Newton and Limits: http://youtu.be/K5n7y2BvnOs
Limit Laws Part 2 - Examples + Intro to Direct Substitution Property: http://youtu.be/cIjWhV7YdOE
Limits - where Direct Substitution doesn't work: http://youtu.be/L9jrwf-IKeU
The Limit of a Function: http://youtu.be/0RX1o7KeZ28
Foil Method - Simple Proof and Quick Alternative Method: http://youtu.be/tmj_r94D6wQ .

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In this video I continue on the Limits Examples series and do a pretty interesting example on the Greatest Integer Function. The greatest Integer function can usually be written as [[x]] or |_x_| and it simply means that it is gives the largest integer less than or equal to x.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiNk0qui6ez-1vNm59w?e=fO32dM

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/limits-examples-part-3-greatest-integer-function

Related Videos:

Types of Numbers: Natural, Integers, Rational, Irrational, and Real Numbers: http://youtu.be/U22Z1q_Ibqg
Limits - Examples Part 1: http://youtu.be/lczWvRBw60A
Limits - Examples Part 2 - One Sided Limits Approach: http://youtu.be/9O6UFASe4F8
Limit Laws - Part 1: Brief Overview: http://youtu.be/qfk5c-43dLg
Limit Laws - Part 1 Examples: http://youtu.be/tL_c7ZKkUBQ
Limit Laws - Part 2 + Brief History of Newton and Limits: http://youtu.be/K5n7y2BvnOs
Limit Laws Part 2 - Examples + Intro to Direct Substitution Property: http://youtu.be/cIjWhV7YdOE
Limits - where Direct Substitution doesn't work: http://youtu.be/L9jrwf-IKeU .

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In this video I continue further into finding the period of trigonometric functions and look at a few harder examples. Although they appear harder, the concept and methodology of finding the period is the exact same as in Part 1.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiNhfBb0yRsEmr6yU_A?e=DYGUMs

Related Videos:

Finding Periods of Trig Functions - Examples Part 1: http://youtu.be/lBLa4D2pLlg
Trigonometry: Sine, Cosine and Tan Functions: http://youtu.be/WKTIlF2oWw8
Transformation of Functions Part 1: Vertical and Horizontal Shifts: http://youtu.be/CBZd19GFOTE
Transformations of Functions Part 2: Horizontal Stretching and Reflecting: http://youtu.be/8sUgreHjTt8 .

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Earlier on I showed what the direct substitution property is and how it can be applied to solve limits involving polynomials or rational functions very easily. In this video I go over a simple proof for the direct substitution property for polynomials using the limit laws, which I have also gone over in my earlier videos. In later videos I will provide precise proofs for all the limit laws used in this video.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiNc5j605e1JCEM6LJg?e=LPkqAy

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/direct-substitution-for-polynomials-simple-proof

Related Videos:

Limit Laws - Part 1 Examples: http://youtu.be/tL_c7ZKkUBQ
Limit Laws - Part 2 + Brief History of Newton and Limits: http://youtu.be/K5n7y2BvnOs
Limit Laws Part 2 - Examples + Intro to Direct Substitution Property: http://youtu.be/cIjWhV7YdOE
Limits - where Direct Substitution doesn't work: http://youtu.be/L9jrwf-IKeU
Limits - Examples Part 1: http://youtu.be/lczWvRBw60A
Limits - Examples Part 2 - One Sided Limits Approach: http://youtu.be/9O6UFASe4F8
Polynomials - A Simple Explanation: http://youtu.be/IHIh7Y0kStE .

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In this video I continue further into the Direct Substitution Property for Limits and prove that it's true for rational functions while utilizing the same property for polynomials (which was proved earlier).

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiNcVX27-Gl9c4QBsuw?e=6L5p80

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/direct-substitution-for-rational-functions-simple-proof

Related Videos:

Direct Substitution for Polynomials - Simple Proof: http://youtu.be/Fnb72ERTLqY
Rational and Algebraic Functions - A Brief Explanation: http://youtu.be/4mvNTeXEW-k
Limit Laws - Part 1 Examples: http://youtu.be/tL_c7ZKkUBQ
Limit Laws - Part 2 + Brief History of Newton and Limits: http://youtu.be/K5n7y2BvnOs
Limit Laws Part 2 - Examples + Intro to Direct Substitution Property: http://youtu.be/cIjWhV7YdOE
Limits - where Direct Substitution doesn't work: http://youtu.be/L9jrwf-IKeU
Limits - Examples Part 1: http://youtu.be/lczWvRBw60A
Limits - Examples Part 2 - One Sided Limits Approach: http://youtu.be/9O6UFASe4F8
Polynomials - A Simple Explanation: http://youtu.be/IHIh7Y0kStE .

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In this video, I go over what a difference of squares are and derive the equation to easily factor them. It is very simple so make sure you memorize it as difference of squares are sure to come up in most math/engineering/physics classes you take and it can greatly simplify your work.

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View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/factoring-difference-of-squares

Related Videos:

Factoring Quadratic Polynomials by Guessing: http://youtu.be/biEfGwT5pn4
Foil Method - Simple Proof and Quick Alternative Method: http://youtu.be/tmj_r94D6wQ
Completing the Square: http://youtu.be/5uxV6-f_qc0
Power Functions and their Properties Part 1 - A Simple Explanation: http://youtu.be/2MKko4ZkSf0
Power Functions Part 2: What is x^0 and 0^0???: http://youtu.be/VzFUDiLzRiE .

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In this video, I go over a very simple but very important concept known as rationalizing the denominator. This basically changes the denominator from an irrational number to a rational one. This can greatly simplify functions and sometimes this method is necessary when dealing with limits where the denominator is equal to 0. So make sure to watch this video!

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Related Videos:

Factoring: Difference of Squares: http://youtu.be/qFdohskRQB0
Types of Numbers: Natural, Integers, Rational, Irrational, and Real Numbers: http://youtu.be/U22Z1q_Ibqg
Power Functions and their Properties Part 1 - A Simple Explanation: http://youtu.be/2MKko4ZkSf0 .

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In my earlier videos I went over limits and limit laws but through a intuitive definition that used subjective terms such as "close to a" but that is not good enough to prove conclusively some limits especially limits that don't have the direct substitution property. In this video I go over the precise definition of a limit as well as going through a simple example to better illustrate it. This concept is more abstract and complex but it is necessary to make defining the limit more concrete. This is very important to understand as it is the building block for calculus so make sure to watch this video!

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View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/precise-definition-of-a-limit

Related Videos:

What are Limits? A Simple Explanation: http://youtu.be/FbV7TzlkTZk
The Limit of a Function: http://youtu.be/0RX1o7KeZ28
Limit Laws - Part 1: Brief Overview: http://youtu.be/qfk5c-43dLg
Limit Laws - Part 2 + Brief History of Newton and Limits: http://youtu.be/K5n7y2BvnOs
Limit Laws Part 2 - Examples + Intro to Direct Substitution Property: http://youtu.be/cIjWhV7YdOE
Limits - where Direct Substitution doesn't work: http://youtu.be/L9jrwf-IKeU
Absolute Values - Properties and Rules: http://youtu.be/tl9iten87MU .

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In my earlier videos I went over how to precisely define and prove the limits of a function in general. In this video I use the same concept but look at one sided limits and how to precisely define them. The concept is pretty much the same as for general limits.

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View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/precise-definition-of-one-sided-limits

Related Videos:

One Sided Limits - Plus Examples: http://youtu.be/QA2v_NCej10
Limits - Examples Part 2 - One Sided Limits Approach: http://youtu.be/9O6UFASe4F8
Precise Definition of a Limit: http://youtu.be/zOWuWE4M2rkq
Precise Definition of a Limit - Example 1: http://youtu.be/p__GkKUswmY
Precise Definition of a Limit - Example 2: Proving limits exists: http://youtu.be/HC-ClOx1sFs .

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Created 4 years ago.

819 videos

Category Education

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